diff --git a/fractal_dimension/circle_counting_new/driver.sh b/fractal_dimension/circle_counting_new/driver.sh index 09c055c..5d3381c 100755 --- a/fractal_dimension/circle_counting_new/driver.sh +++ b/fractal_dimension/circle_counting_new/driver.sh @@ -1,7 +1,7 @@ #!/bin/bash cmd="./target/release/circle_counting dimension" -flags="--max=$1 --n=100 --time" +flags="--max=$1 --n=100 --time --debug" for dir in $(find data -type d) do diff --git a/fractal_dimension/circle_counting_new/output1e3/antiprisms/decagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e3/antiprisms/decagonal_antiprism.txt index 365af93..d84261d 100644 --- a/fractal_dimension/circle_counting_new/output1e3/antiprisms/decagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e3/antiprisms/decagonal_antiprism.txt @@ -1,2 +1,37 @@ -0.004944699s -1.4099943488953748 +Counting circles +5% 0.168145325s remaining +10% 0.085431987s remaining +15% 0.055566534s remaining +20% 0.03979766s remaining +25% 0.030215208s remaining +30% 0.023738619s remaining +35% 0.019177234s remaining +40% 0.015859947s remaining +45% 0.013533274s remaining +50% 0.011795996s remaining +55% 0.010222828s remaining +60% 0.008629883s remaining +65% 0.007065948s remaining +70% 0.005676423s remaining +75% 0.004455463s remaining +80% 0.003372311s remaining +85% 0.002409513s remaining +90% 0.0015552s remaining +95% 0.000770783s remaining + +Took 0.01536647s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[265, 268, 269, 269, 278, 283, 286, 289, 293, 297, 300, 302, 307, 310, 312, 313, 314, 316, 322, 323, 325, 334, 339, 340, 348, 351, 357, 359, 363, 368, 369, 371, 377, 382, 388, 391, 394, 402, 404, 408, 416, 422, 426, 428, 430, 435, 440, 441, 443, 445, 451, 453, 459, 466, 470, 476, 482, 487, 489, 493, 497, 501, 508, 514, 517, 519, 523, 532, 536, 540, 544, 550, 558, 562, 568, 575, 577, 580, 582, 586, 593, 597, 604, 609, 616, 618, 622, 624, 631, 637, 640, 642, 646, 651, 654, 658, 664, 666, 672, 675] + +Built regression model! +Model info: + r^2: 0.9986959068172585 + p-value: 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000035943424218667184 + intercept: -3.2201862689572516 + slope: 1.4099943488953748 +Fractal dimension: 1.4099943488953748 diff --git a/fractal_dimension/circle_counting_new/output1e3/antiprisms/heptagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e3/antiprisms/heptagonal_antiprism.txt index 023eaf2..7957871 100644 --- a/fractal_dimension/circle_counting_new/output1e3/antiprisms/heptagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e3/antiprisms/heptagonal_antiprism.txt @@ -1,2 +1,31 @@ -0.001883751s -1.4268047052242334 +Counting circles +7% 0.055366948s remaining +14% 0.028270938s remaining +21% 0.018174826s remaining +29% 0.012830482s remaining +36% 0.009645591s remaining +43% 0.007688677s remaining +50% 0.006294676s remaining +57% 0.005123917s remaining +64% 0.003975248s remaining +71% 0.00294368s remaining +79% 0.002054697s remaining +86% 0.001303363s remaining +93% 0.000643671s remaining + +Took 0.008914879s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[258, 259, 260, 261, 263, 269, 272, 274, 275, 277, 280, 283, 287, 291, 292, 297, 300, 303, 305, 309, 313, 318, 322, 332, 334, 339, 342, 345, 348, 355, 359, 364, 366, 370, 374, 377, 382, 386, 391, 399, 403, 408, 410, 414, 416, 419, 422, 426, 427, 433, 438, 444, 447, 452, 456, 461, 463, 466, 466, 470, 473, 480, 485, 488, 493, 499, 503, 506, 509, 517, 524, 529, 539, 547, 553, 558, 562, 567, 568, 573, 577, 582, 584, 585, 589, 594, 598, 599, 604, 608, 611, 615, 619, 625, 632, 633, 636, 640, 641, 645] + +Built regression model! +Model info: + r^2: 0.9981521993865066 + p-value: 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009369425593043148 + intercept: -3.3711701979401227 + slope: 1.4268047052242334 +Fractal dimension: 1.4268047052242334 diff --git a/fractal_dimension/circle_counting_new/output1e3/antiprisms/hexagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e3/antiprisms/hexagonal_antiprism.txt index 1c4fb01..1203827 100644 --- a/fractal_dimension/circle_counting_new/output1e3/antiprisms/hexagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e3/antiprisms/hexagonal_antiprism.txt @@ -1,2 +1,29 @@ -0.001573574s -1.3724457273578357 +Counting circles +8% 0.023392963s remaining +17% 0.01266926s remaining +25% 0.008335893s remaining +33% 0.00598292s remaining +42% 0.004706566s remaining +50% 0.00381284s remaining +58% 0.003111897s remaining +67% 0.002327559s remaining +75% 0.001624482s remaining +83% 0.001031631s remaining +92% 0.000509134s remaining + +Took 0.006042221s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[250, 254, 258, 261, 266, 270, 272, 276, 277, 280, 281, 283, 285, 288, 293, 295, 296, 304, 308, 310, 314, 316, 319, 323, 334, 336, 340, 342, 348, 351, 353, 359, 364, 367, 371, 378, 382, 385, 391, 395, 398, 405, 407, 411, 413, 415, 417, 421, 427, 430, 434, 437, 442, 445, 448, 453, 455, 458, 460, 463, 469, 476, 479, 485, 491, 492, 496, 500, 507, 508, 510, 512, 517, 519, 524, 531, 536, 542, 546, 549, 552, 559, 562, 569, 570, 573, 579, 583, 586, 589, 596, 601, 606, 610, 613, 615, 621, 622, 625, 629] + +Built regression model! +Model info: + r^2: 0.9988601353157189 + p-value: 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004912170964356049 + intercept: -3.027477184517923 + slope: 1.3724457273578357 +Fractal dimension: 1.3724457273578357 diff --git a/fractal_dimension/circle_counting_new/output1e3/antiprisms/nonagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e3/antiprisms/nonagonal_antiprism.txt index fb8bf79..700e5f5 100644 --- a/fractal_dimension/circle_counting_new/output1e3/antiprisms/nonagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e3/antiprisms/nonagonal_antiprism.txt @@ -1,2 +1,35 @@ -0.000954556s -1.262786109439771 +Counting circles +6% 0.070492726s remaining +11% 0.033313776s remaining +17% 0.020891905s remaining +22% 0.014749896s remaining +28% 0.011144715s remaining +33% 0.00868285s remaining +39% 0.006934494s remaining +44% 0.005559369s remaining +50% 0.00446121s remaining +56% 0.003572512s remaining +61% 0.002851554s remaining +67% 0.002247133s remaining +72% 0.001741026s remaining +78% 0.001302655s remaining +83% 0.000918382s remaining +89% 0.000578458s remaining +94% 0.000273s remaining + +Took 0.004657267s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[19, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 25, 25, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 31, 31, 31, 31, 35, 35, 35, 35, 35, 35, 37, 37, 37, 37, 37, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 43, 45, 45, 45, 45, 45] + +Built regression model! +Model info: + r^2: 0.9119464809365531 + p-value: 0.000000000000000000000000000000000000000000000000000016497011098940364 + intercept: -4.896909926286721 + slope: 1.262786109439771 +Fractal dimension: 1.262786109439771 diff --git a/fractal_dimension/circle_counting_new/output1e3/antiprisms/octagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e3/antiprisms/octagonal_antiprism.txt index d6991fe..c215093 100644 --- a/fractal_dimension/circle_counting_new/output1e3/antiprisms/octagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e3/antiprisms/octagonal_antiprism.txt @@ -1,2 +1,33 @@ -0.003191184s -1.403871984129419 +Counting circles +6% 0.066374369s remaining +13% 0.034711145s remaining +19% 0.022571028s remaining +25% 0.016057134s remaining +31% 0.012089019s remaining +38% 0.009538753s remaining +44% 0.007916572s remaining +50% 0.006728013s remaining +56% 0.005682609s remaining +63% 0.004593047s remaining +69% 0.003560479s remaining +75% 0.002656054s remaining +81% 0.001876373s remaining +88% 0.001201772s remaining +94% 0.000598293s remaining + +Took 0.009551988s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[262, 264, 268, 271, 273, 274, 278, 280, 282, 284, 285, 287, 291, 294, 294, 300, 303, 307, 312, 321, 326, 331, 334, 335, 338, 344, 347, 352, 355, 359, 363, 364, 371, 377, 381, 384, 390, 394, 395, 400, 403, 407, 413, 414, 418, 426, 427, 433, 435, 440, 442, 446, 450, 451, 457, 460, 463, 465, 473, 477, 486, 489, 491, 497, 502, 507, 514, 516, 520, 526, 533, 539, 544, 546, 550, 554, 561, 571, 575, 581, 589, 591, 597, 600, 604, 604, 605, 607, 610, 615, 619, 622, 626, 627, 629, 632, 636, 638, 642, 647] + +Built regression model! +Model info: + r^2: 0.9977109724299279 + p-value: 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000033775902693548525 + intercept: -3.2061848330063376 + slope: 1.403871984129419 +Fractal dimension: 1.403871984129419 diff --git a/fractal_dimension/circle_counting_new/output1e3/antiprisms/pentagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e3/antiprisms/pentagonal_antiprism.txt index 07cf4be..ad51c7a 100644 --- a/fractal_dimension/circle_counting_new/output1e3/antiprisms/pentagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e3/antiprisms/pentagonal_antiprism.txt @@ -1,2 +1,27 @@ -0.001356264s -1.408978366696069 +Counting circles +10% 0.023908536s remaining +20% 0.01211708s remaining +30% 0.0077267s remaining +40% 0.005508349s remaining +50% 0.004053032s remaining +60% 0.00297627s remaining +70% 0.002056544s remaining +80% 0.001278525s remaining +90% 0.000612792s remaining + +Took 0.005888936s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[236, 241, 245, 252, 253, 256, 257, 264, 269, 274, 276, 280, 283, 295, 299, 303, 304, 307, 308, 310, 313, 315, 320, 326, 332, 338, 340, 344, 348, 352, 356, 361, 367, 372, 376, 379, 382, 386, 390, 391, 397, 399, 405, 408, 413, 415, 419, 428, 433, 437, 443, 446, 450, 456, 463, 465, 466, 470, 473, 478, 481, 485, 487, 489, 492, 497, 501, 504, 507, 510, 514, 521, 523, 525, 529, 535, 541, 546, 548, 553, 555, 557, 558, 564, 566, 570, 572, 580, 583, 586, 592, 594, 597, 600, 607, 614, 616, 621, 626, 630] + +Built regression model! +Model info: + r^2: 0.996725119282035 + p-value: 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000014141517037390023 + intercept: -3.268522097028754 + slope: 1.408978366696069 +Fractal dimension: 1.408978366696069 diff --git a/fractal_dimension/circle_counting_new/output1e3/antiprisms/square_antiprism.txt b/fractal_dimension/circle_counting_new/output1e3/antiprisms/square_antiprism.txt index cf66cea..2387d5c 100644 --- a/fractal_dimension/circle_counting_new/output1e3/antiprisms/square_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e3/antiprisms/square_antiprism.txt @@ -1,2 +1,25 @@ -0.000901686s -1.421583471132899 +Counting circles +13% 0.016235016s remaining +25% 0.008206346s remaining +38% 0.005233856s remaining +50% 0.003567334s remaining +63% 0.002375737s remaining +75% 0.001461502s remaining +88% 0.000683913s remaining + +Took 0.005120637s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[250, 252, 262, 266, 268, 270, 273, 280, 282, 283, 287, 292, 298, 300, 305, 313, 318, 320, 324, 326, 331, 331, 332, 335, 340, 341, 343, 345, 348, 354, 361, 363, 363, 368, 376, 378, 379, 384, 389, 392, 393, 397, 409, 412, 420, 424, 430, 432, 435, 437, 439, 443, 453, 457, 461, 468, 476, 481, 486, 491, 491, 497, 502, 503, 515, 519, 521, 522, 524, 527, 529, 538, 540, 544, 550, 553, 555, 556, 565, 570, 572, 577, 583, 588, 594, 599, 603, 606, 609, 615, 621, 623, 634, 637, 647, 650, 652, 666, 666, 670] + +Built regression model! +Model info: + r^2: 0.9982527827041289 + p-value: 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000006033792505446269 + intercept: -3.3221585701235923 + slope: 1.421583471132899 +Fractal dimension: 1.421583471132899 diff --git a/fractal_dimension/circle_counting_new/output1e3/misc/6v6f1.txt b/fractal_dimension/circle_counting_new/output1e3/misc/6v6f1.txt deleted file mode 100644 index 6c3db65..0000000 --- a/fractal_dimension/circle_counting_new/output1e3/misc/6v6f1.txt +++ /dev/null @@ -1,2 +0,0 @@ -2.007828303s -1.3428512197910445 diff --git a/fractal_dimension/circle_counting_new/output1e3/misc/6v7f1.txt b/fractal_dimension/circle_counting_new/output1e3/misc/6v7f1.txt index 08c8a5e..e38e6ea 100644 --- a/fractal_dimension/circle_counting_new/output1e3/misc/6v7f1.txt +++ b/fractal_dimension/circle_counting_new/output1e3/misc/6v7f1.txt @@ -1,2 +1,23 @@ -0.002079237s -1.3478255818626024 +Counting circles +17% 0.00681797s remaining +33% 0.002974452s remaining +50% 0.001549899s remaining +67% 0.000799415s remaining +83% 0.000342504s remaining + +Took 0.001770578s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[261, 265, 266, 269, 274, 274, 275, 289, 291, 292, 298, 302, 305, 310, 314, 314, 319, 326, 326, 328, 334, 334, 335, 341, 344, 346, 350, 354, 355, 359, 363, 366, 371, 377, 378, 380, 392, 394, 398, 404, 405, 407, 416, 420, 420, 426, 431, 431, 436, 441, 442, 447, 456, 457, 458, 471, 477, 477, 479, 485, 485, 501, 502, 503, 509, 516, 516, 520, 530, 532, 533, 539, 545, 545, 552, 554, 555, 558, 561, 564, 567, 577, 580, 582, 592, 593, 594, 605, 608, 608, 612, 613, 614, 621, 626, 626, 628, 639, 641, 644] + +Built regression model! +Model info: + r^2: 0.9986015234748118 + p-value: 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011031150490914901 + intercept: -2.8300719864580617 + slope: 1.3478255818626024 +Fractal dimension: 1.3478255818626024 diff --git a/fractal_dimension/circle_counting_new/output1e3/misc/6v7f2.txt b/fractal_dimension/circle_counting_new/output1e3/misc/6v7f2.txt index a1f2967..2a02db0 100644 --- a/fractal_dimension/circle_counting_new/output1e3/misc/6v7f2.txt +++ b/fractal_dimension/circle_counting_new/output1e3/misc/6v7f2.txt @@ -1,2 +1,23 @@ -0.001043758s -1.400899927782822 +Counting circles +17% 0.01199142s remaining +33% 0.005364394s remaining +50% 0.002808466s remaining +67% 0.001532857s remaining +83% 0.000629238s remaining + +Took 0.003405812s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[154, 154, 154, 156, 160, 160, 160, 161, 168, 168, 172, 174, 176, 178, 184, 184, 184, 189, 194, 195, 196, 198, 200, 202, 206, 206, 206, 214, 214, 216, 216, 217, 224, 226, 234, 234, 234, 240, 240, 242, 242, 244, 246, 247, 250, 250, 264, 264, 266, 268, 272, 272, 278, 280, 280, 281, 292, 292, 294, 294, 298, 299, 302, 304, 304, 310, 314, 315, 318, 318, 320, 328, 328, 328, 328, 336, 336, 340, 344, 345, 346, 346, 352, 352, 354, 360, 360, 360, 360, 364, 364, 365, 366, 366, 370, 370, 376, 377, 380, 380] + +Built regression model! +Model info: + r^2: 0.9963162231727228 + p-value: 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004512079696229632 + intercept: -3.696032981909249 + slope: 1.400899927782822 +Fractal dimension: 1.400899927782822 diff --git a/fractal_dimension/circle_counting_new/output1e3/misc/cuboctohedron.txt b/fractal_dimension/circle_counting_new/output1e3/misc/cuboctohedron.txt index a75aa3d..e59cac5 100644 --- a/fractal_dimension/circle_counting_new/output1e3/misc/cuboctohedron.txt +++ b/fractal_dimension/circle_counting_new/output1e3/misc/cuboctohedron.txt @@ -1,2 +1,29 @@ -0.001423121s -1.515036808841364 +Counting circles +8% 0.013683351s remaining +17% 0.006882124s remaining +25% 0.004529676s remaining +33% 0.003256576s remaining +42% 0.002438177s remaining +50% 0.001881593s remaining +58% 0.00142193s remaining +67% 0.001064097s remaining +75% 0.000752216s remaining +83% 0.000475187s remaining +92% 0.000225454s remaining + +Took 0.002583966s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[269, 272, 277, 278, 281, 285, 287, 289, 291, 298, 301, 305, 307, 313, 315, 321, 324, 329, 334, 337, 340, 348, 352, 353, 357, 359, 363, 371, 373, 377, 382, 392, 399, 403, 408, 415, 420, 421, 431, 436, 440, 444, 447, 451, 458, 462, 464, 469, 474, 475, 482, 489, 496, 499, 506, 515, 519, 522, 525, 533, 538, 542, 546, 551, 557, 559, 565, 570, 576, 582, 585, 587, 593, 598, 607, 612, 617, 623, 628, 635, 638, 645, 651, 653, 656, 659, 663, 668, 673, 680, 684, 690, 695, 700, 703, 709, 713, 718, 724, 728] + +Built regression model! +Model info: + r^2: 0.9988595185620747 + p-value: 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005044113206218799 + intercept: -3.8606352126242336 + slope: 1.515036808841364 +Fractal dimension: 1.515036808841364 diff --git a/fractal_dimension/circle_counting_new/output1e3/misc/truncated_icosahedron.txt b/fractal_dimension/circle_counting_new/output1e3/misc/truncated_icosahedron.txt index 7f63602..658e89a 100644 --- a/fractal_dimension/circle_counting_new/output1e3/misc/truncated_icosahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e3/misc/truncated_icosahedron.txt @@ -1,2 +1,77 @@ -0.043977108s -1.7980639024941685 +Counting circles +2% 2.318499341s remaining +3% 1.139752141s remaining +5% 0.747915657s remaining +7% 0.551138014s remaining +8% 0.433789686s remaining +10% 0.355657032s remaining +12% 0.299225484s remaining +13% 0.256894917s remaining +15% 0.224045215s remaining +17% 0.19769617s remaining +18% 0.176284613s remaining +20% 0.158383708s remaining +22% 0.143605079s remaining +23% 0.130517919s remaining +25% 0.119373651s remaining +27% 0.109446991s remaining +28% 0.100713901s remaining +30% 0.092910286s remaining +32% 0.085999237s remaining +33% 0.079712262s remaining +35% 0.0741353s remaining +37% 0.069004528s remaining +38% 0.064369789s remaining +40% 0.060091504s remaining +42% 0.05608931s remaining +43% 0.052394082s remaining +45% 0.04897152s remaining +47% 0.045793315s remaining +48% 0.042864035s remaining +50% 0.04010691s remaining +52% 0.037567867s remaining +53% 0.035155897s remaining +55% 0.032884321s remaining +57% 0.030737112s remaining +58% 0.028727726s remaining +60% 0.026814449s remaining +62% 0.025034863s remaining +63% 0.023317828s remaining +65% 0.02172384s remaining +67% 0.020176291s remaining +68% 0.018711109s remaining +70% 0.017305507s remaining +72% 0.015980191s remaining +73% 0.0146994s remaining +75% 0.013499137s remaining +77% 0.012331194s remaining +78% 0.0112198s remaining +80% 0.01014724s remaining +82% 0.009114912s remaining +83% 0.008121148s remaining +85% 0.007168063s remaining +87% 0.006249512s remaining +88% 0.005371227s remaining +90% 0.004522053s remaining +92% 0.003705695s remaining +93% 0.002915013s remaining +95% 0.002148064s remaining +97% 0.001407424s remaining +98% 0.000691904s remaining + +Took 0.040825062s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[75, 75, 76, 77, 82, 83, 84, 85, 86, 88, 88, 88, 92, 94, 94, 96, 97, 99, 102, 103, 105, 106, 107, 109, 113, 115, 116, 116, 118, 121, 123, 125, 126, 127, 129, 129, 129, 132, 134, 135, 138, 140, 142, 144, 145, 147, 148, 149, 151, 153, 155, 160, 161, 166, 166, 169, 169, 172, 172, 175, 177, 179, 180, 182, 185, 186, 186, 189, 191, 197, 198, 199, 199, 203, 206, 208, 209, 209, 213, 213, 215, 221, 223, 223, 224, 225, 228, 229, 229, 230, 232, 236, 237, 239, 242, 243, 245, 249, 251, 253] + +Built regression model! +Model info: + r^2: 0.9984718325519976 + p-value: 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000008509829693678265 + intercept: -6.867109660763201 + slope: 1.7980639024941685 +Fractal dimension: 1.7980639024941685 diff --git a/fractal_dimension/circle_counting_new/output1e3/platonic_solids/cube.txt b/fractal_dimension/circle_counting_new/output1e3/platonic_solids/cube.txt index a57a30b..d541cde 100644 --- a/fractal_dimension/circle_counting_new/output1e3/platonic_solids/cube.txt +++ b/fractal_dimension/circle_counting_new/output1e3/platonic_solids/cube.txt @@ -1,2 +1,25 @@ -0.000484293s -1.4940321330565125 +Counting circles +13% 0.01479198s remaining +25% 0.006967041s remaining +38% 0.004195986s remaining +50% 0.002691s remaining +63% 0.001717599s remaining +75% 0.001019063s remaining +88% 0.000460005s remaining + +Took 0.003350388s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[188, 188, 188, 192, 192, 196, 202, 206, 206, 208, 210, 211, 214, 214, 214, 221, 224, 224, 228, 234, 234, 238, 240, 242, 248, 256, 260, 261, 268, 268, 268, 272, 280, 280, 282, 282, 282, 288, 298, 298, 300, 302, 306, 309, 320, 322, 322, 329, 330, 330, 334, 342, 342, 342, 344, 344, 344, 348, 350, 350, 354, 358, 358, 364, 368, 368, 374, 383, 384, 388, 394, 394, 394, 404, 408, 415, 428, 434, 434, 442, 442, 442, 442, 454, 458, 462, 464, 464, 466, 474, 476, 477, 488, 488, 488, 494, 498, 498, 502, 506] + +Built regression model! +Model info: + r^2: 0.99668031727291 + p-value: 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000027520676317194415 + intercept: -4.096991127902718 + slope: 1.4940321330565125 +Fractal dimension: 1.4940321330565125 diff --git a/fractal_dimension/circle_counting_new/output1e3/platonic_solids/dodecahedron.txt b/fractal_dimension/circle_counting_new/output1e3/platonic_solids/dodecahedron.txt index 31f2367..cfd5ff2 100644 --- a/fractal_dimension/circle_counting_new/output1e3/platonic_solids/dodecahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e3/platonic_solids/dodecahedron.txt @@ -1,2 +1,37 @@ -0.000807895s -1.425255998684727 +Counting circles +5% 0.054606874s remaining +10% 0.026580564s remaining +15% 0.017118031s remaining +20% 0.012427252s remaining +25% 0.009507776s remaining +30% 0.007648267s remaining +35% 0.006215569s remaining +40% 0.005164005s remaining +45% 0.004312974s remaining +50% 0.003647494s remaining +55% 0.003055414s remaining +60% 0.002566018s remaining +65% 0.002121984s remaining +70% 0.001723672s remaining +75% 0.001371378s remaining +80% 0.001058572s remaining +85% 0.000758453s remaining +90% 0.000491554s remaining +95% 0.000235353s remaining + +Took 0.004575371s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[112, 112, 116, 117, 117, 117, 118, 120, 125, 126, 127, 127, 129, 132, 134, 135, 135, 137, 138, 140, 143, 144, 145, 147, 149, 149, 150, 151, 154, 155, 155, 158, 159, 162, 166, 169, 169, 173, 175, 176, 177, 179, 181, 183, 183, 186, 187, 192, 193, 195, 198, 200, 200, 200, 202, 203, 204, 207, 210, 211, 213, 215, 217, 220, 222, 223, 226, 228, 229, 232, 233, 235, 237, 239, 239, 241, 242, 247, 250, 253, 254, 257, 258, 261, 262, 263, 265, 266, 267, 268, 270, 272, 276, 277, 285, 288, 289, 289, 289, 295] + +Built regression model! +Model info: + r^2: 0.9988131126635602 + p-value: 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003560714731089102 + intercept: -4.170869615830829 + slope: 1.425255998684727 +Fractal dimension: 1.425255998684727 diff --git a/fractal_dimension/circle_counting_new/output1e3/platonic_solids/icosahedron.txt b/fractal_dimension/circle_counting_new/output1e3/platonic_solids/icosahedron.txt index 572ce94..46b4665 100644 --- a/fractal_dimension/circle_counting_new/output1e3/platonic_solids/icosahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e3/platonic_solids/icosahedron.txt @@ -1,2 +1,29 @@ -0.001670125s -1.40476889472137 +Counting circles +8% 0.030646879s remaining +17% 0.01629721s remaining +25% 0.011156463s remaining +33% 0.008179718s remaining +42% 0.0063095s remaining +50% 0.005000625s remaining +58% 0.003929734s remaining +67% 0.003002377s remaining +75% 0.002160528s remaining +83% 0.001391221s remaining +92% 0.000673116s remaining + +Took 0.007901373s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[216, 217, 223, 232, 234, 238, 239, 244, 248, 250, 253, 255, 259, 268, 271, 271, 271, 273, 276, 278, 280, 282, 285, 288, 290, 296, 296, 301, 304, 307, 314, 319, 325, 327, 328, 336, 340, 347, 348, 353, 355, 360, 362, 367, 369, 372, 376, 379, 382, 386, 389, 393, 396, 399, 403, 404, 406, 411, 414, 419, 425, 430, 433, 437, 439, 443, 449, 452, 452, 453, 459, 468, 470, 473, 477, 482, 484, 488, 489, 496, 497, 504, 508, 511, 517, 518, 519, 522, 532, 533, 536, 537, 540, 547, 552, 561, 563, 565, 569, 572] + +Built regression model! +Model info: + r^2: 0.9986448684916895 + p-value: 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000023582966629645328 + intercept: -3.3505537569139756 + slope: 1.40476889472137 +Fractal dimension: 1.40476889472137 diff --git a/fractal_dimension/circle_counting_new/output1e3/platonic_solids/octahedron.txt b/fractal_dimension/circle_counting_new/output1e3/platonic_solids/octahedron.txt index 728e36a..2b41086 100644 --- a/fractal_dimension/circle_counting_new/output1e3/platonic_solids/octahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e3/platonic_solids/octahedron.txt @@ -1,2 +1,23 @@ -0.00133135s -1.3365090074245987 +Counting circles +17% 0.01107251s remaining +33% 0.005354722s remaining +50% 0.003122378s remaining +67% 0.001771974s remaining +83% 0.000778107s remaining + +Took 0.004324037s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[266, 270, 270, 274, 282, 282, 282, 298, 300, 300, 306, 310, 310, 315, 322, 322, 328, 336, 336, 340, 346, 346, 346, 352, 352, 352, 362, 364, 364, 369, 372, 372, 376, 382, 382, 386, 394, 394, 394, 403, 404, 404, 414, 420, 420, 430, 432, 432, 432, 440, 440, 442, 456, 456, 456, 476, 476, 476, 482, 488, 488, 505, 508, 508, 514, 526, 526, 532, 536, 536, 536, 548, 550, 550, 560, 562, 562, 566, 570, 570, 572, 584, 584, 588, 604, 604, 604, 621, 624, 624, 626, 630, 630, 639, 644, 644, 644, 660, 660, 666] + +Built regression model! +Model info: + r^2: 0.9966828874377559 + p-value: 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002649576344469261 + intercept: -2.7397243536058586 + slope: 1.3365090074245987 +Fractal dimension: 1.3365090074245987 diff --git a/fractal_dimension/circle_counting_new/output1e3/prisms/decagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e3/prisms/decagonal_prism.txt index 07acbae..5b33b1a 100644 --- a/fractal_dimension/circle_counting_new/output1e3/prisms/decagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e3/prisms/decagonal_prism.txt @@ -1,2 +1,37 @@ -0.001845303s -1.566702859169144 +Counting circles +5% 0.113014071s remaining +10% 0.054951021s remaining +15% 0.035058301s remaining +20% 0.024923632s remaining +25% 0.018784599s remaining +30% 0.014714042s remaining +35% 0.011859742s remaining +40% 0.009763152s remaining +45% 0.008230657s remaining +50% 0.006964308s remaining +55% 0.005850594s remaining +60% 0.004850629s remaining +65% 0.003954582s remaining +70% 0.003168759s remaining +75% 0.002482262s remaining +80% 0.001874527s remaining +85% 0.001335005s remaining +90% 0.000855585s remaining +95% 0.000415395s remaining + +Took 0.008088599s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[138, 140, 140, 140, 143, 145, 147, 150, 156, 157, 157, 157, 158, 162, 163, 164, 165, 169, 173, 179, 182, 182, 183, 184, 186, 187, 189, 195, 198, 200, 201, 204, 204, 205, 209, 211, 220, 225, 226, 228, 229, 231, 232, 233, 238, 241, 242, 244, 246, 247, 248, 248, 251, 256, 259, 264, 265, 271, 273, 273, 278, 278, 281, 283, 285, 291, 296, 299, 300, 300, 303, 306, 309, 312, 313, 318, 322, 325, 329, 333, 337, 339, 340, 346, 349, 353, 356, 357, 361, 365, 367, 369, 371, 380, 382, 385, 387, 393, 396, 397] + +Built regression model! +Model info: + r^2: 0.9983734278417842 + p-value: 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001811168874930547 + intercept: -4.852050589301568 + slope: 1.566702859169144 +Fractal dimension: 1.566702859169144 diff --git a/fractal_dimension/circle_counting_new/output1e3/prisms/heptagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e3/prisms/heptagonal_prism.txt index 514ccd9..a4d35e8 100644 --- a/fractal_dimension/circle_counting_new/output1e3/prisms/heptagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e3/prisms/heptagonal_prism.txt @@ -1,2 +1,31 @@ -0.000935321s -1.4595189162350715 +Counting circles +7% 0.042494777s remaining +14% 0.02045433s remaining +21% 0.01281823s remaining +29% 0.008947262s remaining +36% 0.006654675s remaining +43% 0.005160286s remaining +50% 0.004046055s remaining +57% 0.003151526s remaining +64% 0.00240575s remaining +71% 0.001764838s remaining +79% 0.001226752s remaining +86% 0.000769625s remaining +93% 0.000366559s remaining + +Took 0.004915561s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[153, 154, 157, 160, 161, 161, 164, 166, 170, 171, 175, 176, 178, 180, 182, 183, 184, 190, 191, 193, 195, 195, 197, 199, 201, 202, 203, 205, 206, 209, 211, 215, 217, 222, 225, 228, 229, 232, 232, 236, 241, 243, 244, 245, 246, 250, 251, 256, 257, 259, 263, 264, 266, 269, 271, 277, 281, 282, 283, 286, 289, 289, 293, 297, 297, 299, 301, 307, 309, 312, 320, 323, 324, 326, 332, 335, 337, 341, 344, 347, 350, 355, 360, 364, 368, 369, 374, 375, 377, 381, 385, 387, 390, 394, 397, 399, 403, 406, 408, 413] + +Built regression model! +Model info: + r^2: 0.9961227769151024 + p-value: 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005540698439922572 + intercept: -4.0846071915324575 + slope: 1.4595189162350715 +Fractal dimension: 1.4595189162350715 diff --git a/fractal_dimension/circle_counting_new/output1e3/prisms/hexagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e3/prisms/hexagonal_prism.txt index e5b5a3f..9133016 100644 --- a/fractal_dimension/circle_counting_new/output1e3/prisms/hexagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e3/prisms/hexagonal_prism.txt @@ -1,2 +1,29 @@ -0.000717383s -1.4244274366080378 +Counting circles +8% 0.029176158s remaining +17% 0.01392369s remaining +25% 0.008650914s remaining +33% 0.005999322s remaining +42% 0.004420024s remaining +50% 0.003317986s remaining +58% 0.002471321s remaining +67% 0.001793655s remaining +75% 0.001233487s remaining +83% 0.000763617s remaining +92% 0.000359679s remaining + +Took 0.004099588s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[159, 161, 162, 163, 165, 169, 172, 172, 172, 174, 177, 182, 184, 185, 185, 186, 188, 189, 194, 195, 199, 199, 199, 200, 204, 209, 210, 212, 212, 213, 214, 214, 218, 221, 221, 222, 225, 232, 237, 237, 238, 240, 243, 250, 254, 259, 259, 263, 264, 266, 268, 271, 273, 276, 278, 280, 280, 285, 290, 291, 298, 302, 304, 307, 308, 309, 309, 310, 314, 320, 323, 325, 329, 331, 335, 343, 344, 347, 348, 349, 351, 354, 358, 361, 363, 364, 368, 371, 377, 380, 382, 385, 389, 393, 397, 400, 404, 410, 411, 414] + +Built regression model! +Model info: + r^2: 0.9953512016331566 + p-value: 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004035575510580063 + intercept: -3.838810797721741 + slope: 1.4244274366080378 +Fractal dimension: 1.4244274366080378 diff --git a/fractal_dimension/circle_counting_new/output1e3/prisms/nonagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e3/prisms/nonagonal_prism.txt index 89876ce..7bc56dc 100644 --- a/fractal_dimension/circle_counting_new/output1e3/prisms/nonagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e3/prisms/nonagonal_prism.txt @@ -1,2 +1,35 @@ -0.001489249s -1.548184577576514 +Counting circles +6% 0.084887375s remaining +11% 0.041153096s remaining +17% 0.02614135s remaining +22% 0.018478974s remaining +28% 0.013866946s remaining +33% 0.01081745s remaining +39% 0.008728492s remaining +44% 0.007199241s remaining +50% 0.005973789s remaining +56% 0.004917197s remaining +61% 0.003995749s remaining +67% 0.003181927s remaining +72% 0.002466547s remaining +78% 0.001846318s remaining +83% 0.001306359s remaining +89% 0.000832231s remaining +94% 0.000402091s remaining + +Took 0.007019479s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[141, 142, 143, 146, 149, 151, 152, 152, 155, 157, 160, 163, 167, 169, 170, 174, 176, 179, 183, 185, 186, 187, 191, 193, 195, 196, 197, 200, 200, 201, 205, 208, 211, 212, 213, 217, 218, 220, 221, 223, 230, 233, 236, 236, 240, 241, 244, 246, 248, 252, 253, 255, 258, 260, 262, 265, 267, 268, 270, 276, 282, 285, 287, 288, 293, 296, 297, 302, 311, 315, 316, 318, 323, 325, 327, 327, 330, 335, 336, 340, 342, 345, 350, 352, 355, 358, 362, 369, 371, 373, 375, 377, 381, 383, 388, 392, 397, 398, 400, 403] + +Built regression model! +Model info: + r^2: 0.9978321883550664 + p-value: 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002348208514332953 + intercept: -4.707594367376393 + slope: 1.548184577576514 +Fractal dimension: 1.548184577576514 diff --git a/fractal_dimension/circle_counting_new/output1e3/prisms/octagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e3/prisms/octagonal_prism.txt index 4223445..6be211a 100644 --- a/fractal_dimension/circle_counting_new/output1e3/prisms/octagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e3/prisms/octagonal_prism.txt @@ -1,2 +1,33 @@ -0.001158167s -1.5222884222850448 +Counting circles +6% 0.05958066s remaining +13% 0.028833594s remaining +19% 0.018329267s remaining +25% 0.012880656s remaining +31% 0.009608757s remaining +38% 0.007478035s remaining +44% 0.006011256s remaining +50% 0.004869129s remaining +56% 0.00390944s remaining +63% 0.003090534s remaining +69% 0.002380921s remaining +75% 0.001768848s remaining +81% 0.001240387s remaining +88% 0.000784861s remaining +94% 0.00037695s remaining + +Took 0.005821586s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[144, 146, 149, 149, 155, 156, 159, 160, 162, 163, 165, 167, 169, 175, 176, 178, 181, 183, 187, 188, 189, 192, 193, 193, 197, 200, 202, 205, 206, 210, 212, 213, 215, 217, 220, 222, 224, 225, 227, 229, 230, 232, 236, 238, 240, 242, 246, 249, 249, 255, 259, 263, 267, 267, 269, 276, 279, 279, 282, 285, 288, 289, 292, 296, 298, 299, 305, 307, 308, 311, 317, 318, 323, 325, 331, 333, 337, 342, 345, 351, 354, 355, 357, 360, 364, 366, 370, 372, 376, 378, 380, 382, 384, 389, 393, 399, 401, 402, 403, 405] + +Built regression model! +Model info: + r^2: 0.9976880729243109 + p-value: 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005501031380603036 + intercept: -4.5161654626318395 + slope: 1.5222884222850448 +Fractal dimension: 1.5222884222850448 diff --git a/fractal_dimension/circle_counting_new/output1e3/prisms/pentagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e3/prisms/pentagonal_prism.txt index 4c3e030..0bf230b 100644 --- a/fractal_dimension/circle_counting_new/output1e3/prisms/pentagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e3/prisms/pentagonal_prism.txt @@ -1,2 +1,27 @@ -0.000575495s -1.4936894441042006 +Counting circles +10% 0.022449069s remaining +20% 0.010597704s remaining +30% 0.006620758s remaining +40% 0.004616164s remaining +50% 0.003237618s remaining +60% 0.002258562s remaining +70% 0.001531967s remaining +80% 0.000947597s remaining +90% 0.000438148s remaining + +Took 0.004118287s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[167, 168, 171, 171, 175, 175, 177, 180, 183, 184, 187, 189, 190, 191, 193, 194, 197, 202, 205, 207, 208, 211, 214, 215, 217, 217, 218, 221, 224, 228, 230, 236, 236, 243, 248, 250, 252, 255, 258, 261, 264, 267, 270, 271, 273, 278, 282, 284, 287, 293, 296, 301, 304, 308, 311, 313, 314, 320, 324, 325, 329, 329, 331, 335, 337, 339, 341, 345, 347, 352, 354, 355, 357, 360, 362, 368, 370, 372, 376, 380, 382, 386, 392, 396, 398, 402, 405, 410, 410, 410, 416, 420, 423, 428, 429, 435, 436, 440, 443, 445] + +Built regression model! +Model info: + r^2: 0.9977668868548022 + p-value: 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001005357587139641 + intercept: -4.2174356662315535 + slope: 1.4936894441042006 +Fractal dimension: 1.4936894441042006 diff --git a/fractal_dimension/circle_counting_new/output1e3/prisms/triangular_prism.txt b/fractal_dimension/circle_counting_new/output1e3/prisms/triangular_prism.txt index eb1b219..1861ec5 100644 --- a/fractal_dimension/circle_counting_new/output1e3/prisms/triangular_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e3/prisms/triangular_prism.txt @@ -1,2 +1,23 @@ -0.000431818s -1.3890881876913497 +Counting circles +17% 0.01094008s remaining +33% 0.004835874s remaining +50% 0.002632856s remaining +67% 0.001429845s remaining +83% 0.000616885s remaining + +Took 0.003297598s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[222, 227, 228, 230, 236, 240, 242, 246, 250, 254, 258, 263, 265, 268, 268, 272, 272, 280, 282, 286, 286, 288, 288, 294, 298, 298, 300, 306, 310, 310, 312, 316, 320, 328, 332, 334, 338, 346, 348, 350, 350, 354, 360, 366, 366, 368, 374, 382, 386, 388, 388, 394, 400, 400, 400, 402, 413, 417, 421, 421, 427, 431, 436, 440, 440, 448, 448, 452, 452, 454, 454, 462, 464, 466, 472, 482, 486, 490, 498, 502, 506, 511, 515, 515, 521, 527, 529, 533, 535, 535, 537, 545, 547, 550, 555, 563, 565, 567, 569, 573] + +Built regression model! +Model info: + r^2: 0.9987414122319188 + p-value: 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000006306363090269881 + intercept: -3.2407615088449484 + slope: 1.3890881876913497 +Fractal dimension: 1.3890881876913497 diff --git a/fractal_dimension/circle_counting_new/output1e3/pyramids/decagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e3/pyramids/decagonal_pyramid.txt index 760ce1e..c07a29c 100644 --- a/fractal_dimension/circle_counting_new/output1e3/pyramids/decagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e3/pyramids/decagonal_pyramid.txt @@ -1,2 +1,28 @@ -0.000574504s -1.2475810337647877 +Counting circles +9% 0.02996469s remaining +18% 0.014091979s remaining +27% 0.008687418s remaining +36% 0.005840086s remaining +45% 0.004175929s remaining +55% 0.002999842s remaining +64% 0.002093112s remaining +73% 0.00139105s remaining +82% 0.00083284s remaining +91% 0.000378806s remaining + +Took 0.003882175s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[117, 118, 121, 122, 124, 125, 130, 132, 132, 132, 133, 134, 134, 135, 139, 139, 139, 142, 143, 146, 149, 150, 152, 152, 156, 157, 157, 158, 158, 159, 161, 164, 165, 166, 167, 169, 172, 173, 175, 177, 177, 179, 182, 183, 185, 188, 190, 191, 193, 198, 199, 200, 203, 206, 206, 207, 208, 209, 210, 212, 212, 215, 217, 217, 218, 221, 222, 224, 224, 224, 226, 226, 226, 226, 229, 230, 232, 233, 235, 238, 238, 239, 243, 247, 248, 251, 253, 254, 257, 258, 258, 262, 265, 269, 271, 275, 279, 280, 284, 286] + +Built regression model! +Model info: + r^2: 0.9964175871174903 + p-value: 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001149712107179471 + intercept: -2.9954587834511557 + slope: 1.2475810337647877 +Fractal dimension: 1.2475810337647877 diff --git a/fractal_dimension/circle_counting_new/output1e3/pyramids/heptagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e3/pyramids/heptagonal_pyramid.txt index 37f7b99..b3992c3 100644 --- a/fractal_dimension/circle_counting_new/output1e3/pyramids/heptagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e3/pyramids/heptagonal_pyramid.txt @@ -1,2 +1,25 @@ -0.000479091s -1.3894991310187024 +Counting circles +13% 0.016668925s remaining +25% 0.007621998s remaining +38% 0.004433343s remaining +50% 0.002744843s remaining +63% 0.00172713s remaining +75% 0.000998297s remaining +88% 0.000442412s remaining + +Took 0.003200337s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[139, 139, 139, 142, 143, 144, 146, 147, 150, 152, 154, 154, 155, 157, 157, 158, 163, 166, 167, 169, 171, 173, 177, 179, 181, 182, 183, 185, 186, 188, 192, 198, 199, 200, 201, 201, 201, 208, 210, 211, 214, 214, 219, 221, 221, 222, 223, 223, 224, 226, 227, 230, 230, 233, 235, 236, 239, 242, 243, 246, 250, 253, 255, 258, 262, 264, 266, 267, 269, 274, 276, 281, 282, 285, 286, 287, 292, 295, 298, 300, 300, 304, 306, 310, 313, 316, 317, 322, 325, 328, 331, 333, 337, 338, 341, 343, 343, 345, 347, 347] + +Built regression model! +Model info: + r^2: 0.9967165746328187 + p-value: 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001606753709795418 + intercept: -3.7548524605562124 + slope: 1.3894991310187024 +Fractal dimension: 1.3894991310187024 diff --git a/fractal_dimension/circle_counting_new/output1e3/pyramids/hexagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e3/pyramids/hexagonal_pyramid.txt index 80b972f..d41a998 100644 --- a/fractal_dimension/circle_counting_new/output1e3/pyramids/hexagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e3/pyramids/hexagonal_pyramid.txt @@ -1,2 +1,24 @@ -0.0004687s -1.3988725605928642 +Counting circles +14% 0.012253716s remaining +29% 0.00545558s remaining +43% 0.003078042s remaining +57% 0.001796221s remaining +71% 0.001009924s remaining +86% 0.000446593s remaining + +Took 0.00281951s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[151, 153, 155, 156, 158, 158, 159, 162, 163, 169, 172, 174, 178, 180, 183, 183, 184, 185, 190, 195, 196, 201, 205, 206, 207, 208, 211, 215, 217, 218, 220, 223, 228, 229, 231, 234, 236, 239, 243, 244, 244, 250, 254, 257, 257, 258, 263, 264, 266, 267, 268, 272, 276, 279, 281, 286, 287, 291, 291, 292, 296, 298, 301, 302, 305, 309, 313, 315, 316, 319, 322, 324, 324, 325, 327, 332, 332, 335, 337, 338, 339, 339, 342, 344, 346, 350, 355, 358, 363, 367, 371, 373, 373, 375, 379, 380, 382, 382, 384, 386] + +Built regression model! +Model info: + r^2: 0.996910242282713 + p-value: 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000816910573541209 + intercept: -3.681300507758426 + slope: 1.3988725605928642 +Fractal dimension: 1.3988725605928642 diff --git a/fractal_dimension/circle_counting_new/output1e3/pyramids/nonagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e3/pyramids/nonagonal_pyramid.txt index 4949e3a..d91259d 100644 --- a/fractal_dimension/circle_counting_new/output1e3/pyramids/nonagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e3/pyramids/nonagonal_pyramid.txt @@ -1,2 +1,27 @@ -0.00054286s -1.2742409743230465 +Counting circles +10% 0.025452342s remaining +20% 0.011906036s remaining +30% 0.007357672s remaining +40% 0.004865364s remaining +50% 0.003370371s remaining +60% 0.002322502s remaining +70% 0.001521648s remaining +80% 0.000898006s remaining +90% 0.000403759s remaining + +Took 0.003721571s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[121, 125, 127, 130, 131, 132, 132, 133, 134, 134, 136, 136, 137, 140, 142, 147, 149, 151, 152, 153, 154, 156, 158, 159, 159, 159, 162, 163, 165, 165, 165, 169, 171, 173, 175, 176, 178, 178, 181, 183, 185, 188, 191, 191, 192, 195, 196, 198, 202, 205, 205, 206, 208, 208, 210, 211, 213, 213, 216, 217, 219, 220, 221, 223, 223, 225, 225, 225, 227, 227, 231, 232, 235, 237, 237, 239, 242, 246, 249, 250, 254, 255, 256, 260, 263, 264, 266, 268, 270, 276, 279, 281, 288, 289, 292, 294, 296, 298, 299, 301] + +Built regression model! +Model info: + r^2: 0.9948449694721124 + p-value: 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000006392191496914639 + intercept: -3.1323649771292876 + slope: 1.2742409743230465 +Fractal dimension: 1.2742409743230465 diff --git a/fractal_dimension/circle_counting_new/output1e3/pyramids/octagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e3/pyramids/octagonal_pyramid.txt index 4469667..a8a762c 100644 --- a/fractal_dimension/circle_counting_new/output1e3/pyramids/octagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e3/pyramids/octagonal_pyramid.txt @@ -1,2 +1,26 @@ -0.000495205s -1.3318738611100582 +Counting circles +11% 0.020141424s remaining +22% 0.009248487s remaining +33% 0.00551714s remaining +44% 0.003551482s remaining +56% 0.002375656s remaining +67% 0.001540365s remaining +78% 0.000901194s remaining +89% 0.000400231s remaining + +Took 0.003292942s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[128, 129, 129, 130, 132, 135, 136, 138, 142, 144, 145, 147, 148, 149, 149, 151, 152, 153, 154, 155, 157, 159, 162, 163, 166, 169, 169, 171, 174, 176, 177, 179, 180, 181, 181, 187, 188, 190, 193, 194, 196, 197, 198, 200, 204, 205, 207, 208, 210, 212, 212, 215, 215, 218, 219, 222, 223, 225, 226, 229, 232, 233, 233, 234, 235, 236, 239, 241, 243, 247, 250, 252, 253, 255, 261, 263, 263, 264, 265, 266, 270, 275, 278, 280, 284, 286, 290, 293, 297, 299, 300, 301, 303, 304, 306, 308, 310, 313, 315, 315] + +Built regression model! +Model info: + r^2: 0.9974027914359634 + p-value: 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001646671757844936 + intercept: -3.4596333868248563 + slope: 1.3318738611100582 +Fractal dimension: 1.3318738611100582 diff --git a/fractal_dimension/circle_counting_new/output1e3/pyramids/pentagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e3/pyramids/pentagonal_pyramid.txt index 91492f4..5e8feec 100644 --- a/fractal_dimension/circle_counting_new/output1e3/pyramids/pentagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e3/pyramids/pentagonal_pyramid.txt @@ -1,2 +1,23 @@ -0.000425743s -1.29637896536962 +Counting circles +17% 0.01107729s remaining +33% 0.00478931s remaining +50% 0.00256454s remaining +67% 0.001341779s remaining +83% 0.000573997s remaining + +Took 0.003072657s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[187, 190, 195, 195, 199, 202, 204, 205, 210, 212, 216, 217, 225, 231, 234, 235, 236, 238, 241, 241, 242, 245, 249, 254, 256, 258, 259, 263, 266, 268, 276, 279, 284, 285, 286, 288, 292, 297, 298, 302, 305, 307, 308, 311, 312, 316, 318, 321, 323, 325, 327, 333, 334, 337, 338, 341, 344, 345, 346, 347, 348, 355, 359, 360, 361, 364, 369, 375, 375, 378, 381, 386, 389, 392, 395, 395, 397, 399, 402, 407, 411, 413, 414, 418, 419, 421, 425, 428, 432, 434, 439, 441, 443, 446, 450, 455, 458, 460, 465, 469] + +Built regression model! +Model info: + r^2: 0.9973823303157552 + p-value: 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002418823847369787 + intercept: -2.8056642101894638 + slope: 1.29637896536962 +Fractal dimension: 1.29637896536962 diff --git a/fractal_dimension/circle_counting_new/output1e3/pyramids/square_pyramid.txt b/fractal_dimension/circle_counting_new/output1e3/pyramids/square_pyramid.txt index b7099fd..b29e273 100644 --- a/fractal_dimension/circle_counting_new/output1e3/pyramids/square_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e3/pyramids/square_pyramid.txt @@ -1,2 +1,22 @@ -0.000492353s -1.3367540534444284 +Counting circles +20% 0.008488628s remaining +40% 0.003608932s remaining +60% 0.001773225s remaining +80% 0.000717486s remaining + +Took 0.003129286s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[266, 270, 270, 274, 282, 282, 282, 297, 300, 300, 306, 310, 310, 314, 322, 322, 328, 336, 336, 338, 346, 346, 346, 352, 352, 352, 362, 364, 364, 369, 372, 372, 376, 382, 382, 386, 394, 394, 394, 403, 404, 404, 414, 420, 420, 430, 432, 432, 432, 440, 440, 442, 456, 456, 456, 475, 476, 476, 482, 488, 488, 505, 508, 508, 514, 526, 526, 530, 536, 536, 536, 544, 550, 550, 560, 562, 562, 566, 570, 570, 572, 584, 584, 588, 604, 604, 604, 621, 624, 624, 626, 630, 630, 638, 644, 644, 644, 660, 660, 666] + +Built regression model! +Model info: + r^2: 0.9967932375141435 + p-value: 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000050486534586083326 + intercept: -2.7416147513932825 + slope: 1.3367540534444284 +Fractal dimension: 1.3367540534444284 diff --git a/fractal_dimension/circle_counting_new/output1e3/rhombic/rhombic_dodecahedron.txt b/fractal_dimension/circle_counting_new/output1e3/rhombic/rhombic_dodecahedron.txt index ce5759a..3d59534 100644 --- a/fractal_dimension/circle_counting_new/output1e3/rhombic/rhombic_dodecahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e3/rhombic/rhombic_dodecahedron.txt @@ -1,2 +1,31 @@ -0.000569638s -1.3778335922856897 +Counting circles +7% 0.027877382s remaining +14% 0.012975516s remaining +21% 0.008259683s remaining +29% 0.005835095s remaining +36% 0.004491374s remaining +43% 0.003564777s remaining +50% 0.002859182s remaining +57% 0.002255085s remaining +64% 0.001697731s remaining +71% 0.001256918s remaining +79% 0.000881779s remaining +86% 0.00056672s remaining +93% 0.000267355s remaining + +Took 0.003630207s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[102, 106, 108, 108, 108, 108, 110, 112, 112, 112, 116, 116, 118, 120, 120, 120, 124, 124, 126, 126, 130, 134, 138, 138, 138, 140, 140, 140, 140, 144, 144, 144, 144, 144, 146, 150, 150, 150, 150, 152, 155, 158, 160, 162, 164, 166, 168, 168, 170, 175, 180, 186, 186, 186, 188, 188, 190, 192, 192, 194, 198, 200, 200, 204, 205, 208, 208, 209, 210, 214, 214, 214, 216, 216, 216, 218, 218, 218, 220, 222, 222, 222, 226, 228, 228, 230, 230, 240, 242, 244, 246, 246, 248, 250, 252, 252, 254, 254, 256, 256] + +Built regression model! +Model info: + r^2: 0.9942489157790717 + p-value: 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000013620188587627486 + intercept: -3.9576914809749666 + slope: 1.3778335922856897 +Fractal dimension: 1.3778335922856897 diff --git a/fractal_dimension/circle_counting_new/output1e3/rhombic/rhombic_triacontahedron.txt b/fractal_dimension/circle_counting_new/output1e3/rhombic/rhombic_triacontahedron.txt index 612b64e..1a93c6b 100644 --- a/fractal_dimension/circle_counting_new/output1e3/rhombic/rhombic_triacontahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e3/rhombic/rhombic_triacontahedron.txt @@ -1,2 +1,49 @@ -0.002749507s -1.7120352969361596 +Counting circles +3% 0.300030648s remaining +6% 0.147302025s remaining +9% 0.095828576s remaining +13% 0.06972688s remaining +16% 0.055188399s remaining +19% 0.045269349s remaining +22% 0.037434432s remaining +25% 0.031586556s remaining +28% 0.027344035s remaining +31% 0.023710181s remaining +34% 0.020884641s remaining +38% 0.018374466s remaining +41% 0.016200331s remaining +44% 0.014259744s remaining +47% 0.012623382s remaining +50% 0.011143142s remaining +53% 0.00984847s remaining +56% 0.008764153s remaining +59% 0.007714248s remaining +63% 0.006767368s remaining +66% 0.005925212s remaining +69% 0.005163156s remaining +72% 0.004450613s remaining +75% 0.003792666s remaining +78% 0.003215563s remaining +81% 0.002661894s remaining +84% 0.002157469s remaining +88% 0.001673531s remaining +91% 0.001212335s remaining +94% 0.000781569s remaining +97% 0.000378317s remaining + +Took 0.011742618s to count circles + +Done counting circles! +sample points: +[505.0, 510.0, 515.0, 520.0, 525.0, 530.0, 535.0, 540.0, 545.0, 550.0, 555.0, 560.0, 565.0, 570.0, 575.0, 580.0, 585.0, 590.0, 595.0, 600.0, 605.0, 610.0, 615.0, 620.0, 625.0, 630.0, 635.0, 640.0, 645.0, 650.0, 655.0, 660.0, 665.0, 670.0, 675.0, 680.0, 685.0, 690.0, 695.0, 700.0, 705.0, 710.0, 715.0, 720.0, 725.0, 730.0, 735.0, 740.0, 745.0, 750.0, 755.0, 760.0, 765.0, 770.0, 775.0, 780.0, 785.0, 790.0, 795.0, 800.0, 805.0, 810.0, 815.0, 820.0, 825.0, 830.0, 835.0, 840.0, 845.0, 850.0, 855.0, 860.0, 865.0, 870.0, 875.0, 880.0, 885.0, 890.0, 895.0, 900.0, 905.0, 910.0, 915.0, 920.0, 925.0, 930.0, 935.0, 940.0, 945.0, 950.0, 955.0, 960.0, 965.0, 970.0, 975.0, 980.0, 985.0, 990.0, 995.0, 1000.0] + +number of circles fewer than each of those sample points: +[46, 47, 47, 48, 48, 48, 48, 49, 50, 51, 51, 53, 55, 55, 55, 57, 57, 57, 58, 58, 58, 59, 59, 60, 61, 61, 64, 64, 66, 66, 66, 66, 66, 67, 68, 69, 69, 73, 73, 75, 75, 77, 77, 77, 78, 83, 83, 84, 86, 86, 87, 90, 90, 91, 93, 94, 97, 97, 97, 98, 99, 101, 102, 103, 103, 104, 106, 107, 108, 109, 111, 112, 113, 113, 114, 115, 115, 117, 118, 118, 120, 121, 121, 121, 122, 124, 124, 127, 127, 127, 127, 130, 131, 132, 134, 135, 136, 136, 138, 138] + +Built regression model! +Model info: + r^2: 0.9941749578809328 + p-value: 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000025475148512559692 + intercept: -6.879583277321926 + slope: 1.7120352969361596 +Fractal dimension: 1.7120352969361596 diff --git a/fractal_dimension/circle_counting_new/output1e6/antiprisms/decagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e6/antiprisms/decagonal_antiprism.txt index 1305ad9..c344222 100644 --- a/fractal_dimension/circle_counting_new/output1e6/antiprisms/decagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e6/antiprisms/decagonal_antiprism.txt @@ -1,2 +1,37 @@ -27.253714308s -1.4358267165010965 +Counting circles +5% 38.086873339s remaining +10% 34.102939067s remaining +15% 29.554082899s remaining +20% 25.17940172s remaining +25% 21.556609236s remaining +30% 18.790282074s remaining +35% 16.83077175s remaining +40% 15.567219982s remaining +45% 14.739984002s remaining +50% 14.023229909s remaining +55% 13.053619019s remaining +60% 11.705347351s remaining +65% 10.128471676s remaining +70% 8.482563422s remaining +75% 6.888700507s remaining +80% 5.39950195s remaining +85% 4.015751292s remaining +90% 2.697461714s remaining +95% 1.376750381s remaining + +Took 28.217307467s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[4917862, 4988160, 5057810, 5128345, 5198975, 5270247, 5341415, 5413200, 5485130, 5557327, 5629782, 5702671, 5776040, 5849461, 5923447, 5997775, 6072034, 6146726, 6221500, 6296270, 6372041, 6447631, 6524108, 6599971, 6676833, 6753705, 6830802, 6907875, 6984739, 7062242, 7140466, 7219471, 7298085, 7376748, 7455763, 7535812, 7615178, 7695057, 7775297, 7855876, 7936577, 8017717, 8098836, 8180153, 8262110, 8344491, 8426529, 8508801, 8591186, 8674135, 8757265, 8840983, 8924499, 9008370, 9091935, 9176747, 9261651, 9346856, 9431661, 9516916, 9602154, 9687708, 9773900, 9860350, 9947050, 10033197, 10119638, 10207102, 10294314, 10381321, 10469101, 10557261, 10645952, 10734845, 10823149, 10912398, 11001896, 11091311, 11180708, 11270677, 11361033, 11451461, 11541989, 11633113, 11724276, 11815173, 11906112, 11998478, 12090456, 12182533, 12274773, 12367085, 12459635, 12552308, 12645281, 12738279, 12831431, 12925314, 13018676, 13112372] + +Built regression model! +Model info: + r^2: 0.9999998547707589 + p-value: 0 + intercept: -3.447681791651373 + slope: 1.4358267165010965 +Fractal dimension: 1.4358267165010965 diff --git a/fractal_dimension/circle_counting_new/output1e6/antiprisms/heptagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e6/antiprisms/heptagonal_antiprism.txt index 59d023a..d76c2e3 100644 --- a/fractal_dimension/circle_counting_new/output1e6/antiprisms/heptagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e6/antiprisms/heptagonal_antiprism.txt @@ -1,2 +1,31 @@ -20.409445857s -1.420780597243824 +Counting circles +7% 19.471750831s remaining +14% 17.335684536s remaining +21% 15.093211224s remaining +29% 13.141616195s remaining +36% 11.613431813s remaining +43% 10.390565881s remaining +50% 9.263682576s remaining +57% 8.03571111s remaining +64% 6.67697924s remaining +71% 5.274859369s remaining +79% 3.90960995s remaining +86% 2.599984095s remaining +93% 1.3088357369999999s remaining + +Took 18.511253549s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[4492603, 4556119, 4619800, 4683700, 4747741, 4812338, 4877040, 4942035, 5007132, 5072914, 5138542, 5204382, 5270661, 5336711, 5403332, 5470567, 5537511, 5604567, 5671977, 5739546, 5807699, 5876560, 5945282, 6013904, 6083203, 6152649, 6221374, 6291031, 6361482, 6431622, 6501775, 6572780, 6643717, 6714827, 6786007, 6857200, 6928678, 7000534, 7072566, 7145484, 7217888, 7290529, 7363320, 7436738, 7509566, 7583633, 7657602, 7731103, 7805391, 7879694, 7954736, 8030190, 8105673, 8181211, 8256306, 8332453, 8408546, 8484660, 8561561, 8637804, 8714371, 8790816, 8868773, 8946316, 9024331, 9101790, 9179707, 9257937, 9335786, 9414760, 9493286, 9572054, 9651552, 9731050, 9810779, 9890895, 9970971, 10051067, 10131855, 10212921, 10293509, 10374094, 10454915, 10535906, 10617045, 10699093, 10780582, 10862786, 10945351, 11027480, 11109799, 11192513, 11275794, 11358847, 11441998, 11525216, 11608729, 11692195, 11776229, 11860203] + +Built regression model! +Model info: + r^2: 0.9999999406697923 + p-value: 0 + intercept: -3.3400840450743594 + slope: 1.420780597243824 +Fractal dimension: 1.420780597243824 diff --git a/fractal_dimension/circle_counting_new/output1e6/antiprisms/hexagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e6/antiprisms/hexagonal_antiprism.txt index 8699418..c7dc09e 100644 --- a/fractal_dimension/circle_counting_new/output1e6/antiprisms/hexagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e6/antiprisms/hexagonal_antiprism.txt @@ -1,2 +1,29 @@ -14.507162709s -1.4129434012712605 +Counting circles +8% 14.512254878s remaining +17% 12.752665035s remaining +25% 11.21915997s remaining +33% 9.788000784s remaining +42% 8.540649389s remaining +50% 7.37205803s remaining +58% 6.16502559s remaining +67% 4.908712636s remaining +75% 3.6528026970000003s remaining +83% 2.42578604s remaining +92% 1.215615269s remaining + +Took 14.657404349s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[4259764, 4319034, 4378992, 4438696, 4498876, 4559558, 4620464, 4681484, 4742832, 4804454, 4866485, 4928940, 4991487, 5053996, 5116652, 5180036, 5243509, 5306536, 5370193, 5434434, 5498807, 5563630, 5628594, 5693460, 5758409, 5823049, 5888542, 5954249, 6019498, 6085135, 6151364, 6217774, 6284151, 6350904, 6418014, 6485141, 6552589, 6620607, 6688770, 6756948, 6825306, 6893537, 6962485, 7031415, 7101010, 7170219, 7239591, 7308814, 7379214, 7449024, 7519431, 7590117, 7660832, 7731356, 7802493, 7873949, 7945502, 8017057, 8088666, 8160134, 8232417, 8305055, 8377480, 8450260, 8522699, 8595897, 8669049, 8742118, 8815495, 8889514, 8963616, 9037482, 9111855, 9186386, 9261167, 9335924, 9410616, 9485369, 9561106, 9636784, 9712368, 9787922, 9864522, 9940588, 10017097, 10093564, 10170448, 10247366, 10324159, 10401153, 10478204, 10556156, 10633935, 10711713, 10790142, 10868009, 10946386, 11024728, 11103435, 11182592] + +Built regression model! +Model info: + r^2: 0.9999998404847179 + p-value: 0 + intercept: -3.2905346068609553 + slope: 1.4129434012712605 +Fractal dimension: 1.4129434012712605 diff --git a/fractal_dimension/circle_counting_new/output1e6/antiprisms/nonagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e6/antiprisms/nonagonal_antiprism.txt index 50e29ef..34bee96 100644 --- a/fractal_dimension/circle_counting_new/output1e6/antiprisms/nonagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e6/antiprisms/nonagonal_antiprism.txt @@ -1,2 +1,35 @@ -1.8193831120000001s -1.431164228676963 +Counting circles +6% 1.440136385s remaining +11% 1.352567864s remaining +17% 1.36239532s remaining +22% 1.437584823s remaining +28% 1.521726343s remaining +33% 1.542631348s remaining +39% 1.485356657s remaining +44% 1.35433143s remaining +50% 1.186632971s remaining +56% 0.978939636s remaining +61% 0.805305093s remaining +67% 0.660828226s remaining +72% 0.53551176s remaining +78% 0.419856844s remaining +83% 0.309406554s remaining +89% 0.202317574s remaining +94% 0.098530572s remaining + +Took 1.716929345s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[318387, 322934, 327464, 332074, 336530, 340912, 345593, 350342, 355081, 359918, 364494, 369158, 374116, 379024, 383849, 388796, 393684, 398596, 403554, 408234, 413120, 417818, 422776, 427568, 432416, 437274, 442290, 447469, 452657, 457596, 462639, 467564, 472738, 477902, 482736, 487658, 492664, 497868, 502971, 508128, 513588, 518890, 524276, 529406, 534590, 539983, 545288, 550816, 556038, 561559, 566983, 572330, 577927, 583294, 588692, 594183, 599738, 605092, 610595, 616268, 621621, 627035, 632322, 638164, 643974, 649330, 654986, 660572, 666556, 672244, 677834, 683418, 688993, 694496, 699963, 705464, 711273, 717007, 722768, 728839, 734528, 740314, 746146, 751788, 757562, 763304, 769150, 774992, 780680, 786498, 792313, 798064, 803979, 810156, 816144, 822335, 828146, 834157, 840225, 846269] + +Built regression model! +Model info: + r^2: 0.9999926946854188 + p-value: 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001673123092498456 + intercept: -6.122543404415428 + slope: 1.431164228676963 +Fractal dimension: 1.431164228676963 diff --git a/fractal_dimension/circle_counting_new/output1e6/antiprisms/octagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e6/antiprisms/octagonal_antiprism.txt index b6e88a4..7125e6b 100644 --- a/fractal_dimension/circle_counting_new/output1e6/antiprisms/octagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e6/antiprisms/octagonal_antiprism.txt @@ -1,2 +1,33 @@ -24.632347347s -1.4275560884625609 +Counting circles +6% 23.936609475s remaining +13% 21.297913623s remaining +19% 18.470548693s remaining +25% 15.919644867s remaining +31% 13.917542529s remaining +38% 12.491915808s remaining +44% 11.421391147s remaining +50% 10.449099966s remaining +56% 9.32871353s remaining +63% 8.001976576s remaining +69% 6.569865823s remaining +75% 5.154592688s remaining +81% 3.817727033s remaining +88% 2.548916122s remaining +94% 1.290728802s remaining + +Took 20.992776931s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[4667183, 4733387, 4799422, 4866174, 4933483, 5000509, 5068245, 5135472, 5203712, 5271892, 5340698, 5409443, 5478707, 5548020, 5617779, 5687800, 5757963, 5828478, 5899114, 5969857, 6041340, 6112515, 6183993, 6256517, 6328534, 6400837, 6473361, 6546311, 6619262, 6692837, 6766392, 6840034, 6914569, 6989002, 7063546, 7138277, 7213711, 7288975, 7363947, 7439580, 7514926, 7591378, 7667602, 7743796, 7820619, 7897733, 7975456, 8053081, 8130771, 8208701, 8287462, 8365931, 8444978, 8523241, 8602073, 8681056, 8760741, 8840749, 8920805, 9001099, 9081243, 9162241, 9242925, 9323928, 9405179, 9486244, 9567729, 9649425, 9731846, 9814435, 9896752, 9979910, 10063289, 10146597, 10229713, 10313155, 10396712, 10480689, 10565439, 10650007, 10734482, 10819081, 10903812, 10988943, 11074316, 11159801, 11245864, 11331598, 11417654, 11503771, 11590369, 11677122, 11764099, 11851032, 11938779, 12026745, 12114807, 12202463, 12290665, 12379005] + +Built regression model! +Model info: + r^2: 0.9999999496754843 + p-value: 0 + intercept: -3.3909815335741165 + slope: 1.4275560884625609 +Fractal dimension: 1.4275560884625609 diff --git a/fractal_dimension/circle_counting_new/output1e6/antiprisms/pentagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e6/antiprisms/pentagonal_antiprism.txt index 63eedf5..fc2ce21 100644 --- a/fractal_dimension/circle_counting_new/output1e6/antiprisms/pentagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e6/antiprisms/pentagonal_antiprism.txt @@ -1,2 +1,27 @@ -11.35883838s -1.399652710272311 +Counting circles +10% 10.879121889s remaining +20% 9.602874156s remaining +30% 8.352265649s remaining +40% 7.151546023s remaining +50% 5.973112002s remaining +60% 4.781831937s remaining +70% 3.580557159s remaining +80% 2.38365627s remaining +90% 1.1922257219999999s remaining + +Took 11.938319308s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[3940547, 3994793, 4049452, 4104787, 4160240, 4215832, 4271962, 4327744, 4384285, 4440854, 4497152, 4553767, 4611005, 4668225, 4726004, 4783746, 4841269, 4899679, 4957892, 5016342, 5074974, 5133623, 5192315, 5251632, 5311303, 5370769, 5430948, 5490752, 5550970, 5611607, 5672199, 5733313, 5794062, 5854846, 5915577, 5977210, 6038798, 6100469, 6162745, 6225105, 6287309, 6349347, 6412117, 6474487, 6537204, 6600876, 6664662, 6727868, 6791776, 6855590, 6919881, 6983493, 7047667, 7111746, 7176625, 7241302, 7306433, 7371274, 7436392, 7501998, 7568082, 7633840, 7699815, 7766217, 7832207, 7899105, 7966170, 8032523, 8099534, 8166379, 8233755, 8300921, 8369000, 8437136, 8504937, 8572768, 8641304, 8709732, 8778510, 8847608, 8916984, 8985956, 9054911, 9124413, 9193724, 9263430, 9333369, 9402799, 9472570, 9542933, 9613218, 9683498, 9753922, 9825426, 9896188, 9967789, 10039111, 10111025, 10182138, 10253900] + +Built regression model! +Model info: + r^2: 0.9999998690599342 + p-value: 0 + intercept: -3.193787740841305 + slope: 1.399652710272311 +Fractal dimension: 1.399652710272311 diff --git a/fractal_dimension/circle_counting_new/output1e6/antiprisms/square_antiprism.txt b/fractal_dimension/circle_counting_new/output1e6/antiprisms/square_antiprism.txt index 69981b4..e878476 100644 --- a/fractal_dimension/circle_counting_new/output1e6/antiprisms/square_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e6/antiprisms/square_antiprism.txt @@ -1,2 +1,25 @@ -9.678373876s -1.3784925455620327 +Counting circles +13% 7.423869586s remaining +25% 6.370354916s remaining +38% 5.313235541s remaining +50% 4.251458189s remaining +63% 3.188738554s remaining +75% 2.127026897s remaining +88% 1.063529991s remaining + +Took 8.50481763s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[3466580, 3513646, 3561393, 3609220, 3656824, 3704894, 3752902, 3801297, 3849882, 3898676, 3947520, 3996604, 4045962, 4094945, 4144728, 4194566, 4244467, 4294706, 4344855, 4395331, 4445718, 4496571, 4547270, 4598268, 4649364, 4700437, 4752097, 4803735, 4855313, 4907366, 4959619, 5011971, 5064366, 5116979, 5169697, 5222393, 5275353, 5328370, 5381486, 5435176, 5489093, 5542918, 5596989, 5651092, 5705005, 5759378, 5814303, 5868800, 5923790, 5978585, 6033519, 6088632, 6144172, 6200244, 6255981, 6311822, 6367625, 6423640, 6480010, 6536375, 6592376, 6648646, 6705372, 6761818, 6819042, 6876219, 6933126, 6990335, 7047938, 7105188, 7162668, 7220178, 7278379, 7336261, 7394298, 7452525, 7510853, 7569516, 7628020, 7686583, 7745001, 7804364, 7863429, 7922997, 7982091, 8041434, 8101141, 8160790, 8220493, 8280807, 8341000, 8401299, 8461358, 8522362, 8582856, 8643248, 8704062, 8765410, 8826589, 8887839] + +Built regression model! +Model info: + r^2: 0.9999998267158383 + p-value: 0 + intercept: -3.0443390365160603 + slope: 1.3784925455620327 +Fractal dimension: 1.3784925455620327 diff --git a/fractal_dimension/circle_counting_new/output1e6/misc/6v7f1.txt b/fractal_dimension/circle_counting_new/output1e6/misc/6v7f1.txt index 6758ae0..9d814cb 100644 --- a/fractal_dimension/circle_counting_new/output1e6/misc/6v7f1.txt +++ b/fractal_dimension/circle_counting_new/output1e6/misc/6v7f1.txt @@ -1,2 +1,23 @@ -4.7057637329999995s -1.324821631572518 +Counting circles +17% 6.068041345s remaining +33% 4.015532552s remaining +50% 2.426381839s remaining +67% 1.422006895s remaining +83% 0.727179525s remaining + +Took 4.013725088s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[2447620, 2479473, 2511390, 2543657, 2575875, 2608273, 2640918, 2673851, 2706331, 2739147, 2772055, 2805366, 2838409, 2871917, 2905419, 2939139, 2972455, 3006117, 3040130, 3074111, 3108121, 3142515, 3176555, 3211184, 3245492, 3279837, 3314408, 3349128, 3383789, 3418686, 3453569, 3488368, 3523772, 3558913, 3594013, 3629131, 3664349, 3700048, 3735572, 3771044, 3806923, 3842582, 3878108, 3914072, 3950219, 3986391, 4022625, 4059039, 4095552, 4131828, 4168251, 4204924, 4241568, 4278217, 4314996, 4352046, 4389307, 4426348, 4463205, 4500313, 4537730, 4575493, 4612860, 4650503, 4688138, 4726125, 4763869, 4801658, 4839558, 4877275, 4915100, 4953352, 4991442, 5029613, 5068257, 5106579, 5145306, 5184175, 5222525, 5261346, 5299839, 5338446, 5377516, 5416436, 5455243, 5494392, 5533609, 5572880, 5611974, 5651237, 5690347, 5729800, 5769155, 5808643, 5848698, 5888603, 5928625, 5968366, 6008440, 6047893] + +Built regression model! +Model info: + r^2: 0.9999998571269909 + p-value: 0 + intercept: -2.6877210608702597 + slope: 1.324821631572518 +Fractal dimension: 1.324821631572518 diff --git a/fractal_dimension/circle_counting_new/output1e6/misc/6v7f2.txt b/fractal_dimension/circle_counting_new/output1e6/misc/6v7f2.txt index f9cdc20..0ac2146 100644 --- a/fractal_dimension/circle_counting_new/output1e6/misc/6v7f2.txt +++ b/fractal_dimension/circle_counting_new/output1e6/misc/6v7f2.txt @@ -1,2 +1,23 @@ -3.089434976s -1.338185383960637 +Counting circles +17% 2.59344165s remaining +33% 2.073649686s remaining +50% 1.296731447s remaining +67% 0.915154585s remaining +83% 0.417237005s remaining + +Took 2.620773824s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[1592956, 1614330, 1635522, 1656802, 1677878, 1699130, 1720190, 1741968, 1763792, 1785459, 1807380, 1828981, 1851240, 1873294, 1895632, 1917463, 1939388, 1961677, 1983574, 2006083, 2028644, 2050970, 2073314, 2095570, 2118640, 2141106, 2163890, 2186808, 2209394, 2232312, 2254946, 2277896, 2301220, 2324496, 2347941, 2371188, 2394380, 2417893, 2441484, 2465319, 2489057, 2513020, 2536302, 2560016, 2583968, 2607716, 2631874, 2656082, 2680138, 2704232, 2728454, 2752602, 2777003, 2800878, 2825161, 2849834, 2874270, 2898890, 2923396, 2947674, 2972138, 2997111, 3021842, 3046664, 3071556, 3096862, 3121648, 3146869, 3172152, 3197168, 3222700, 3247838, 3273304, 3298573, 3323926, 3349278, 3374798, 3400340, 3425300, 3451047, 3477020, 3502787, 3528415, 3553774, 3579836, 3605911, 3631795, 3658138, 3684150, 3709934, 3736251, 3762826, 3789134, 3815550, 3841752, 3867958, 3894398, 3920548, 3947196, 3973619] + +Built regression model! +Model info: + r^2: 0.999999712736574 + p-value: 0 + intercept: -3.292497585451507 + slope: 1.338185383960637 +Fractal dimension: 1.338185383960637 diff --git a/fractal_dimension/circle_counting_new/output1e6/misc/cuboctohedron.txt b/fractal_dimension/circle_counting_new/output1e6/misc/cuboctohedron.txt index d654688..483bae2 100644 --- a/fractal_dimension/circle_counting_new/output1e6/misc/cuboctohedron.txt +++ b/fractal_dimension/circle_counting_new/output1e6/misc/cuboctohedron.txt @@ -1,2 +1,29 @@ -26.433601789s -1.4533641114322406 +Counting circles +8% 20.870484613s remaining +17% 18.962199155s remaining +25% 17.067286908s remaining +33% 15.168424448s remaining +42% 13.277097965s remaining +50% 11.379851965s remaining +58% 9.484173978s remaining +67% 7.588331357s remaining +75% 5.690288208s remaining +83% 3.7930902509999997s remaining +92% 1.896616049s remaining + +Took 22.758804284s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[6178305, 6267546, 6356776, 6446593, 6536868, 6627924, 6719373, 6811064, 6902833, 6994948, 7087424, 7180651, 7274017, 7367752, 7461471, 7556128, 7650923, 7746020, 7842064, 7937665, 8033444, 8129964, 8227504, 8324410, 8422243, 8520299, 8618064, 8716880, 8816329, 8916260, 9016762, 9117638, 9218210, 9319048, 9419858, 9521393, 9623331, 9725436, 9827865, 9930954, 10034553, 10138158, 10242247, 10346905, 10451011, 10556461, 10661575, 10767613, 10873870, 10979737, 11086770, 11193227, 11300184, 11407715, 11514540, 11622403, 11730876, 11839584, 11948349, 12058730, 12168347, 12278514, 12388985, 12499741, 12610941, 12722333, 12833695, 12945784, 13057916, 13170471, 13283397, 13396364, 13509756, 13623018, 13737508, 13851250, 13965696, 14080278, 14195041, 14310484, 14426055, 14541997, 14657998, 14774664, 14891145, 15007527, 15124083, 15241699, 15359691, 15477663, 15595606, 15714200, 15832995, 15951993, 16071605, 16191315, 16311455, 16431651, 16552371, 16673934] + +Built regression model! +Model info: + r^2: 0.9999998805937469 + p-value: 0 + intercept: -3.4494097273527657 + slope: 1.4533641114322406 +Fractal dimension: 1.4533641114322406 diff --git a/fractal_dimension/circle_counting_new/output1e6/misc/truncated_icosahedron.txt b/fractal_dimension/circle_counting_new/output1e6/misc/truncated_icosahedron.txt index a1aeaa6..b442df8 100644 --- a/fractal_dimension/circle_counting_new/output1e6/misc/truncated_icosahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e6/misc/truncated_icosahedron.txt @@ -1,2 +1,77 @@ -1m 24.324137347000004s -1.656757456704511 +Counting circles +2% 1m 37.595775651s remaining +3% 1m 16.628672202999994s remaining +5% 1m 17.929006254s remaining +7% 1m 9.474542466000003s remaining +8% 1m 11.284558740999998s remaining +10% 1m 12.432552861000005s remaining +12% 1m 7.770136246999996s remaining +13% 1m 4.261422335000006s remaining +15% 1m 2.8496915939999994s remaining +17% 1m 0.7322681699999976s remaining +18% 1m 0.2132368669999991s remaining +20% 58.903778212s remaining +22% 59.172686372s remaining +23% 57.225304178s remaining +25% 57.339399879s remaining +27% 55.567898573s remaining +28% 54.467792474s remaining +30% 52.166801136s remaining +32% 51.221465085s remaining +33% 49.19785141s remaining +35% 48.600485785000004s remaining +37% 47.55067566s remaining +38% 46.950943213s remaining +40% 45.93698635s remaining +42% 44.278794078s remaining +43% 42.46585737s remaining +45% 40.992660707s remaining +47% 39.362710109s remaining +48% 38.283106988s remaining +50% 36.912043438s remaining +52% 35.961204586s remaining +53% 34.718276704s remaining +55% 33.427017352s remaining +57% 31.952395369s remaining +58% 30.79058371s remaining +60% 29.440115872s remaining +62% 28.35465125s remaining +63% 26.98287961s remaining +65% 25.946610914s remaining +67% 24.640472106s remaining +68% 23.451116768s remaining +70% 22.070792328s remaining +72% 20.933242843s remaining +73% 19.614915548s remaining +75% 18.544402609s remaining +77% 17.297523676s remaining +78% 16.19774157s remaining +80% 14.9486415s remaining +82% 13.688373253s remaining +83% 12.355358469s remaining +85% 11.116590869s remaining +87% 9.818499221s remaining +88% 8.618482913s remaining +90% 7.39606579s remaining +92% 6.194304188s remaining +93% 4.969718256s remaining +95% 3.714614601s remaining +97% 2.464739869s remaining +98% 1.230275912s remaining + +Took 1m 13.588263022000007s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[7453129, 7576409, 7699878, 7823939, 7948729, 8074478, 8200959, 8327923, 8455783, 8585124, 8714701, 8845168, 8976899, 9108309, 9241201, 9374811, 9509141, 9644247, 9780556, 9917392, 10054280, 10192923, 10332227, 10471449, 10611569, 10752890, 10895003, 11038111, 11181408, 11325690, 11470183, 11614944, 11760401, 11907614, 12054967, 12203279, 12352379, 12502719, 12652838, 12804150, 12955915, 13108676, 13262081, 13416123, 13571011, 13726188, 13882547, 14038941, 14196765, 14354452, 14513288, 14673047, 14833657, 14994199, 15155516, 15317582, 15480308, 15643456, 15807781, 15973723, 16140097, 16306517, 16473220, 16641126, 16809928, 16979323, 17148796, 17318640, 17489911, 17661509, 17834085, 18006953, 18180945, 18354882, 18529861, 18704638, 18880807, 19057741, 19234700, 19413632, 19592091, 19771508, 19952211, 20133016, 20315155, 20497165, 20679809, 20864120, 21048449, 21233344, 21418768, 21604954, 21791524, 21978784, 22166963, 22356148, 22545672, 22736209, 22926569, 23117825] + +Built regression model! +Model info: + r^2: 0.9999999436306428 + p-value: 0 + intercept: -5.932827916827698 + slope: 1.656757456704511 +Fractal dimension: 1.656757456704511 diff --git a/fractal_dimension/circle_counting_new/output1e6/platonic_solids/cube.txt b/fractal_dimension/circle_counting_new/output1e6/platonic_solids/cube.txt index 96a5125..0fb8ebb 100644 --- a/fractal_dimension/circle_counting_new/output1e6/platonic_solids/cube.txt +++ b/fractal_dimension/circle_counting_new/output1e6/platonic_solids/cube.txt @@ -1,2 +1,25 @@ -7.442477221s -1.4801061783525686 +Counting circles +13% 6.835422223s remaining +25% 5.8532715s remaining +38% 4.873016228s remaining +50% 3.897207033s remaining +63% 2.923469826s remaining +75% 1.948920429s remaining +88% 0.974549954s remaining + +Took 7.793503264s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[5053023, 5127467, 5201909, 5276367, 5351644, 5427386, 5503499, 5579422, 5655807, 5731592, 5809532, 5887459, 5965593, 6044045, 6122471, 6201117, 6280710, 6360104, 6439365, 6519467, 6599526, 6681223, 6762144, 6843960, 6924953, 7007518, 7090240, 7173924, 7257284, 7340477, 7424922, 7508851, 7593537, 7678080, 7763348, 7848005, 7933683, 8019223, 8105563, 8191438, 8278789, 8365586, 8452911, 8540336, 8628600, 8716830, 8805251, 8894815, 8984038, 9073672, 9162897, 9252749, 9343751, 9433756, 9524551, 9615271, 9706406, 9798145, 9890827, 9983194, 10074853, 10168040, 10261329, 10354739, 10448568, 10541847, 10636480, 10729849, 10825026, 10919539, 11014356, 11109789, 11205089, 11301050, 11397947, 11494242, 11590899, 11687885, 11784868, 11882020, 11978369, 12077096, 12175880, 12273730, 12373178, 12472353, 12571172, 12671107, 12772241, 12872428, 12973022, 13073967, 13175092, 13276569, 13378230, 13479838, 13581331, 13683932, 13787056, 13888604] + +Built regression model! +Model info: + r^2: 0.9999998844908888 + p-value: 0 + intercept: -4.001861800723432 + slope: 1.4801061783525686 +Fractal dimension: 1.4801061783525686 diff --git a/fractal_dimension/circle_counting_new/output1e6/platonic_solids/dodecahedron.txt b/fractal_dimension/circle_counting_new/output1e6/platonic_solids/dodecahedron.txt index 8a0df2e..484d47f 100644 --- a/fractal_dimension/circle_counting_new/output1e6/platonic_solids/dodecahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e6/platonic_solids/dodecahedron.txt @@ -1,2 +1,37 @@ -20.209938823s -1.5963637160162403 +Counting circles +5% 20.236995228s remaining +10% 19.057906701s remaining +15% 17.938340086s remaining +20% 16.954951948s remaining +25% 15.862258829s remaining +30% 14.818821535s remaining +35% 13.750774642s remaining +40% 12.707879631s remaining +45% 11.64029564s remaining +50% 10.587235582s remaining +55% 9.524419772s remaining +60% 8.469591517s remaining +65% 7.407043264s remaining +70% 6.34648422s remaining +75% 5.292311132s remaining +80% 4.235112502s remaining +85% 3.174185616s remaining +90% 2.116681205s remaining +95% 1.057354015s remaining + +Took 21.158304156s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[6096916, 6193622, 6290983, 6388773, 6487177, 6585812, 6685316, 6784898, 6885277, 6986405, 7087689, 7189997, 7292963, 7396938, 7500930, 7604829, 7709603, 7815567, 7921751, 8028469, 8135871, 8243016, 8351148, 8459750, 8568780, 8678785, 8789344, 8900699, 9012202, 9124710, 9236557, 9349039, 9462531, 9576166, 9690352, 9805372, 9920307, 10035827, 10152565, 10269060, 10386858, 10504647, 10622369, 10740856, 10859694, 10979325, 11099145, 11219590, 11341026, 11463358, 11585409, 11708544, 11832193, 11955519, 12079749, 12204496, 12329153, 12455163, 12581614, 12708152, 12834928, 12962665, 13090389, 13218448, 13347641, 13476710, 13606797, 13737384, 13867982, 13999311, 14131354, 14263589, 14396028, 14528583, 14661789, 14796273, 14930053, 15064803, 15200222, 15336550, 15473157, 15609887, 15747351, 15885424, 16023913, 16162240, 16300543, 16439589, 16579125, 16719306, 16860093, 17000930, 17142040, 17283859, 17426351, 17568886, 17712417, 17855415, 17999397, 18144487] + +Built regression model! +Model info: + r^2: 0.9999999467298122 + p-value: 0 + intercept: -5.340622853926188 + slope: 1.5963637160162403 +Fractal dimension: 1.5963637160162403 diff --git a/fractal_dimension/circle_counting_new/output1e6/platonic_solids/icosahedron.txt b/fractal_dimension/circle_counting_new/output1e6/platonic_solids/icosahedron.txt index 285ee4a..847e2c1 100644 --- a/fractal_dimension/circle_counting_new/output1e6/platonic_solids/icosahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e6/platonic_solids/icosahedron.txt @@ -1,2 +1,29 @@ -13.875675954s -1.3735060097388425 +Counting circles +8% 13.509898039s remaining +17% 12.28084539s remaining +25% 11.057133104s remaining +33% 9.818808323s remaining +42% 8.592156221s remaining +50% 7.365178955s remaining +58% 6.136449139s remaining +67% 4.908269449s remaining +75% 3.680951399s remaining +83% 2.453694393s remaining +92% 1.226691648s remaining + +Took 14.720552165s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[2917051, 2956760, 2996673, 3037004, 3077587, 3117864, 3158189, 3198633, 3239427, 3280176, 3321172, 3362806, 3404459, 3445791, 3487695, 3529212, 3571037, 3613012, 3655138, 3697187, 3739356, 3782241, 3824754, 3867970, 3911241, 3954384, 3997768, 4040926, 4084612, 4128226, 4171839, 4215775, 4259857, 4304299, 4348536, 4393173, 4437516, 4482239, 4526832, 4571444, 4616355, 4661037, 4706166, 4751185, 4796404, 4842170, 4887909, 4933506, 4979958, 5025479, 5071665, 5117706, 5163889, 5210341, 5256556, 5303230, 5349741, 5396424, 5442902, 5490050, 5537051, 5584126, 5631296, 5678937, 5726304, 5774389, 5822343, 5870381, 5918543, 5966524, 6015016, 6063348, 6111961, 6160004, 6208428, 6257428, 6306197, 6354914, 6403783, 6452933, 6502062, 6551240, 6600684, 6650481, 6700197, 6749835, 6799699, 6849655, 6899813, 6949963, 7000038, 7049955, 7100494, 7150979, 7201233, 7252273, 7303064, 7354145, 7405137, 7455997] + +Built regression model! +Model info: + r^2: 0.9999993105463149 + p-value: 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009816780037691615 + intercept: -3.1508264652037106 + slope: 1.3735060097388425 +Fractal dimension: 1.3735060097388425 diff --git a/fractal_dimension/circle_counting_new/output1e6/platonic_solids/octahedron.txt b/fractal_dimension/circle_counting_new/output1e6/platonic_solids/octahedron.txt index 06211bf..68ac3f6 100644 --- a/fractal_dimension/circle_counting_new/output1e6/platonic_solids/octahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e6/platonic_solids/octahedron.txt @@ -1,2 +1,23 @@ -4.868870305s -1.3354128221469261 +Counting circles +17% 4.249630355s remaining +33% 3.397970828s remaining +50% 2.547366139s remaining +67% 1.697398271s remaining +83% 0.848262587s remaining + +Took 5.089311618s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[2684414, 2719588, 2755037, 2790854, 2826562, 2862894, 2899256, 2935824, 2971882, 3008378, 3044633, 3080922, 3117755, 3154706, 3191585, 3228634, 3265627, 3302882, 3340405, 3378054, 3415904, 3453526, 3491430, 3529558, 3567529, 3605924, 3644252, 3683088, 3721688, 3760206, 3798378, 3837236, 3876150, 3914966, 3954366, 3994246, 4033515, 4073158, 4112677, 4152032, 4191468, 4231060, 4270627, 4310418, 4350349, 4390486, 4430806, 4471098, 4511600, 4551938, 4592344, 4633110, 4673761, 4714414, 4755055, 4796162, 4837393, 4878402, 4918795, 4960474, 5001640, 5043452, 5085075, 5126942, 5168350, 5210050, 5252276, 5294220, 5336363, 5378596, 5420841, 5463562, 5506405, 5549052, 5591247, 5633860, 5676525, 5720238, 5763087, 5806020, 5848677, 5892156, 5935948, 5979362, 6022890, 6066834, 6110264, 6154076, 6197920, 6242132, 6285933, 6329482, 6373487, 6417288, 6461402, 6505672, 6550057, 6594636, 6639522, 6683566] + +Built regression model! +Model info: + r^2: 0.9999997573073586 + p-value: 0 + intercept: -2.7342658762629206 + slope: 1.3354128221469261 +Fractal dimension: 1.3354128221469261 diff --git a/fractal_dimension/circle_counting_new/output1e6/prisms/decagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e6/prisms/decagonal_prism.txt index d12e526..06fa7a1 100644 --- a/fractal_dimension/circle_counting_new/output1e6/prisms/decagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e6/prisms/decagonal_prism.txt @@ -1,2 +1,37 @@ -19.631812302s -1.5613888471962742 +Counting circles +5% 23.750025878s remaining +10% 21.390855606s remaining +15% 18.96888654s remaining +20% 16.778827948s remaining +25% 14.968853415s remaining +30% 13.585445867s remaining +35% 12.571513754s remaining +40% 11.805450385s remaining +45% 11.128851411s remaining +50% 10.399004535s remaining +55% 9.530814748s remaining +60% 8.516940439999999s remaining +65% 7.402366535s remaining +70% 6.254385245s remaining +75% 5.12997866s remaining +80% 4.055560657s remaining +85% 3.030401845s remaining +90% 2.030269237s remaining +95% 1.026653169s remaining + +Took 20.798589605s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[6157180, 6251926, 6347821, 6444613, 6541937, 6639614, 6737708, 6836719, 6935781, 7035025, 7135376, 7235672, 7336885, 7438682, 7540697, 7643284, 7747114, 7850933, 7955450, 8060351, 8166145, 8271189, 8377409, 8483686, 8589897, 8697487, 8805617, 8914118, 9022729, 9132002, 9242861, 9352977, 9463675, 9574784, 9686514, 9798466, 9911448, 10024508, 10138293, 10252406, 10366539, 10481879, 10597740, 10713884, 10830617, 10947487, 11064776, 11182345, 11300454, 11418914, 11537933, 11657267, 11777451, 11898300, 12019422, 12140969, 12262238, 12383990, 12506438, 12630161, 12753504, 12876849, 13000641, 13125254, 13250887, 13376532, 13502687, 13629343, 13756200, 13883964, 14012132, 14140117, 14268642, 14397559, 14526494, 14656721, 14786827, 14917081, 15047973, 15179022, 15310298, 15442232, 15575181, 15707941, 15840965, 15974873, 16109936, 16245524, 16379748, 16515022, 16651212, 16787352, 16924020, 17061094, 17198097, 17335358, 17474243, 17613185, 17752465, 17891991] + +Built regression model! +Model info: + r^2: 0.999999945146913 + p-value: 0 + intercept: -4.871447502473842 + slope: 1.5613888471962742 +Fractal dimension: 1.5613888471962742 diff --git a/fractal_dimension/circle_counting_new/output1e6/prisms/heptagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e6/prisms/heptagonal_prism.txt index 71b9f0d..88a27cd 100644 --- a/fractal_dimension/circle_counting_new/output1e6/prisms/heptagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e6/prisms/heptagonal_prism.txt @@ -1,2 +1,31 @@ -13.925568509s -1.542991254200265 +Counting circles +7% 13.937713335s remaining +14% 12.65590134s remaining +21% 11.435576452s remaining +29% 10.314929322s remaining +36% 9.28964917s remaining +43% 8.305131266s remaining +50% 7.311412755s remaining +57% 6.285350422s remaining +64% 5.23237337s remaining +71% 4.171271899s remaining +79% 3.118346572s remaining +86% 2.077864951s remaining +93% 1.041133382s remaining + +Took 14.617030009s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[5942372, 6033200, 6125087, 6217124, 6309464, 6402007, 6495077, 6589266, 6683106, 6777993, 6873659, 6969965, 7065437, 7161854, 7259203, 7356630, 7455274, 7553997, 7652648, 7751716, 7851175, 7951778, 8052585, 8154620, 8256488, 8358696, 8460985, 8564369, 8667855, 8771830, 8875616, 8980229, 9085672, 9191377, 9296731, 9403422, 9510125, 9617666, 9725231, 9833044, 9941667, 10050629, 10160216, 10270107, 10380541, 10491333, 10602196, 10713933, 10825704, 10938461, 11050771, 11164141, 11277219, 11391115, 11505394, 11620021, 11735324, 11851165, 11967600, 12084223, 12201010, 12317937, 12434994, 12553247, 12671927, 12791059, 12909993, 13030005, 13149485, 13269409, 13390349, 13510794, 13632209, 13753882, 13876523, 13998952, 14122140, 14244643, 14367824, 14492040, 14616306, 14741648, 14866838, 14991846, 15117770, 15243834, 15370313, 15497270, 15625283, 15752743, 15881201, 16010157, 16138941, 16267686, 16397149, 16527208, 16658222, 16788382, 16919944, 17050393] + +Built regression model! +Model info: + r^2: 0.9999999712453733 + p-value: 0 + intercept: -4.665523400327974 + slope: 1.542991254200265 +Fractal dimension: 1.542991254200265 diff --git a/fractal_dimension/circle_counting_new/output1e6/prisms/hexagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e6/prisms/hexagonal_prism.txt index 99f63ff..984165f 100644 --- a/fractal_dimension/circle_counting_new/output1e6/prisms/hexagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e6/prisms/hexagonal_prism.txt @@ -1,2 +1,29 @@ -12.055430092s -1.531379367948449 +Counting circles +8% 11.490103316999999s remaining +17% 10.391362125s remaining +25% 9.33055671s remaining +33% 8.287479356s remaining +42% 7.261882824s remaining +50% 6.234560693s remaining +58% 5.198455245s remaining +67% 4.156952323s remaining +75% 3.114907166s remaining +83% 2.075592087s remaining +92% 1.038052947s remaining + +Took 12.465514207s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[5803088, 5890888, 5980140, 6069609, 6159142, 6248718, 6339321, 6430259, 6521675, 6614089, 6706349, 6798843, 6891840, 6986427, 7080150, 7174412, 7270000, 7364892, 7460608, 7557543, 7653947, 7750455, 7847799, 7945767, 8043652, 8142453, 8241299, 8341545, 8441985, 8542261, 8642918, 8744295, 8845837, 8948386, 9050853, 9154108, 9257243, 9361163, 9465217, 9569272, 9674167, 9779562, 9884973, 9990919, 10097378, 10203846, 10310853, 10418225, 10525939, 10634559, 10743516, 10852717, 10962222, 11072347, 11182115, 11292602, 11404141, 11515220, 11627235, 11739492, 11851876, 11964719, 12078296, 12191749, 12305963, 12419858, 12534305, 12649049, 12764980, 12880490, 12997314, 13113738, 13230924, 13348736, 13466129, 13584624, 13703697, 13822188, 13940214, 14060285, 14180016, 14300664, 14421290, 14541808, 14663087, 14783833, 14905569, 15027311, 15149745, 15272399, 15396523, 15521024, 15645369, 15770342, 15895213, 16020338, 16145067, 16269919, 16395706, 16522715] + +Built regression model! +Model info: + r^2: 0.9999999644369004 + p-value: 0 + intercept: -4.53658346481382 + slope: 1.531379367948449 +Fractal dimension: 1.531379367948449 diff --git a/fractal_dimension/circle_counting_new/output1e6/prisms/nonagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e6/prisms/nonagonal_prism.txt index 890a349..1db6778 100644 --- a/fractal_dimension/circle_counting_new/output1e6/prisms/nonagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e6/prisms/nonagonal_prism.txt @@ -1,2 +1,35 @@ -17.839680149s -1.556815713691277 +Counting circles +6% 19.947119439s remaining +11% 17.988457952s remaining +17% 16.050522874s remaining +22% 14.32899813s remaining +28% 12.926655417s remaining +33% 11.836635292s remaining +39% 10.959063265s remaining +44% 10.163978617s remaining +50% 9.330932224s remaining +56% 8.397495162s remaining +61% 7.36339439s remaining +67% 6.265667893s remaining +72% 5.159726541s remaining +78% 4.083640632s remaining +83% 3.047742534s remaining +89% 2.036781076s remaining +94% 1.026480931s remaining + +Took 18.650754539s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[6104937, 6198764, 6293744, 6388847, 6484659, 6581408, 6678437, 6776218, 6873691, 6972113, 7071267, 7170728, 7270276, 7370464, 7471997, 7574091, 7675764, 7777845, 7880641, 7984049, 8087754, 8191617, 8296100, 8401363, 8506690, 8612683, 8719083, 8826694, 8934562, 9042946, 9151758, 9260553, 9370152, 9479955, 9590067, 9701168, 9812457, 9923998, 10036297, 10149641, 10262842, 10376364, 10490580, 10604893, 10720315, 10834883, 10950547, 11066823, 11183049, 11299879, 11417003, 11535015, 11653613, 11772613, 11891085, 12010881, 12131267, 12251693, 12372889, 12494850, 12616111, 12737642, 12861025, 12983795, 13107483, 13230901, 13355148, 13480063, 13605503, 13731491, 13857837, 13984625, 14111517, 14238555, 14365993, 14493883, 14621800, 14750328, 14878695, 15008283, 15138680, 15269316, 15400301, 15531342, 15662857, 15795269, 15926815, 16059405, 16192500, 16325738, 16459800, 16593971, 16728538, 16864020, 16999544, 17135843, 17272439, 17409120, 17545780, 17682600] + +Built regression model! +Model info: + r^2: 0.9999999702386388 + p-value: 0 + intercept: -4.820035100456192 + slope: 1.556815713691277 +Fractal dimension: 1.556815713691277 diff --git a/fractal_dimension/circle_counting_new/output1e6/prisms/octagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e6/prisms/octagonal_prism.txt index c0322dd..4bd9810 100644 --- a/fractal_dimension/circle_counting_new/output1e6/prisms/octagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e6/prisms/octagonal_prism.txt @@ -1,2 +1,33 @@ -15.944345263s -1.550786946936712 +Counting circles +6% 16.780242434s remaining +13% 15.184758953s remaining +19% 13.653270024s remaining +25% 12.302522643s remaining +31% 11.165182971s remaining +38% 10.194137211s remaining +44% 9.287748037s remaining +50% 8.361130052s remaining +56% 7.370011288s remaining +63% 6.316716321s remaining +69% 5.231758257s remaining +75% 4.153583008s remaining +81% 3.100431542s remaining +88% 2.06799167s remaining +94% 1.039160728s remaining + +Took 16.726698879s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[6034839, 6127360, 6221181, 6315228, 6409856, 6504846, 6600167, 6696436, 6792957, 6889439, 6987042, 7085450, 7183837, 7282505, 7381715, 7481591, 7581880, 7682884, 7783708, 7885109, 7987495, 8090270, 8193532, 8297095, 8401107, 8505099, 8610308, 8715276, 8821249, 8927211, 9034509, 9141174, 9249334, 9357018, 9465871, 9575359, 9684816, 9795269, 9905295, 10015611, 10127022, 10238162, 10350339, 10463141, 10576109, 10689398, 10802430, 10916091, 11030081, 11144626, 11260303, 11376599, 11492774, 11609578, 11726403, 11843635, 11961493, 12080053, 12198591, 12317569, 12437594, 12557382, 12677545, 12797978, 12919620, 13041507, 13164144, 13286424, 13409768, 13532843, 13657021, 13780907, 13905771, 14030926, 14156394, 14282203, 14407871, 14534100, 14660296, 14787124, 14914646, 15042334, 15170801, 15299277, 15428405, 15558189, 15687858, 15818189, 15949048, 16079985, 16211876, 16344138, 16476856, 16608880, 16741315, 16874867, 17008996, 17143492, 17278284, 17413588] + +Built regression model! +Model info: + r^2: 0.999999949605128 + p-value: 0 + intercept: -4.752231829048007 + slope: 1.550786946936712 +Fractal dimension: 1.550786946936712 diff --git a/fractal_dimension/circle_counting_new/output1e6/prisms/pentagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e6/prisms/pentagonal_prism.txt index f2f3735..4a3a880 100644 --- a/fractal_dimension/circle_counting_new/output1e6/prisms/pentagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e6/prisms/pentagonal_prism.txt @@ -1,2 +1,27 @@ -9.853281869s -1.5130204399195448 +Counting circles +10% 9.249421338s remaining +20% 8.214746712s remaining +30% 7.187257823s remaining +40% 6.158580517s remaining +50% 5.13018847s remaining +60% 4.104070405s remaining +70% 3.079772494s remaining +80% 2.053034603s remaining +90% 1.026429424s remaining + +Took 10.262934771s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[5566411, 5649909, 5733681, 5818221, 5903227, 5988273, 6073491, 6159853, 6246606, 6333419, 6420530, 6508033, 6595601, 6683979, 6773387, 6862789, 6952141, 7042219, 7133436, 7224057, 7315293, 7407164, 7499452, 7591849, 7684438, 7777718, 7871419, 7965256, 8060096, 8154694, 8250113, 8345696, 8441798, 8537382, 8634481, 8731431, 8828619, 8926302, 9024760, 9123319, 9222314, 9321207, 9421100, 9521361, 9621177, 9722165, 9823808, 9924375, 10025607, 10127844, 10230245, 10332533, 10435421, 10538689, 10641921, 10745810, 10850647, 10955402, 11061164, 11165894, 11271515, 11377881, 11484507, 11591117, 11697745, 11805057, 11912422, 12020141, 12127935, 12236605, 12345247, 12454690, 12564728, 12674618, 12785178, 12895854, 13007066, 13119049, 13231044, 13343045, 13455203, 13567575, 13680403, 13793707, 13907444, 14021177, 14135128, 14249855, 14364301, 14478729, 14594279, 14710048, 14825636, 14942136, 15059437, 15176432, 15293499, 15411394, 15529998, 15648612] + +Built regression model! +Model info: + r^2: 0.9999999080238747 + p-value: 0 + intercept: -4.3372441095650345 + slope: 1.5130204399195448 +Fractal dimension: 1.5130204399195448 diff --git a/fractal_dimension/circle_counting_new/output1e6/prisms/triangular_prism.txt b/fractal_dimension/circle_counting_new/output1e6/prisms/triangular_prism.txt index 9575f4d..06ba2fe 100644 --- a/fractal_dimension/circle_counting_new/output1e6/prisms/triangular_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e6/prisms/triangular_prism.txt @@ -1,2 +1,23 @@ -4.231752269s -1.406664690865384 +Counting circles +17% 3.623662225s remaining +33% 2.895144522s remaining +50% 2.170547859s remaining +67% 1.446029517s remaining +83% 0.722686969s remaining + +Took 4.334511951s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[3588978, 3639095, 3689324, 3740088, 3790803, 3841970, 3892634, 3944217, 3995513, 4046987, 4098591, 4150908, 4203364, 4255905, 4309048, 4362027, 4415194, 4468227, 4521566, 4575753, 4629335, 4683632, 4737911, 4791803, 4846413, 4901396, 4956383, 5011353, 5066607, 5122615, 5177599, 5233201, 5288748, 5344605, 5400500, 5457047, 5513780, 5570144, 5627510, 5684633, 5741577, 5799061, 5856394, 5914173, 5972512, 6030494, 6088803, 6147126, 6205453, 6264068, 6323051, 6382254, 6441311, 6500361, 6560127, 6619473, 6679591, 6739732, 6799966, 6860078, 6920370, 6980681, 7040939, 7101514, 7162355, 7223374, 7283839, 7345477, 7406406, 7467533, 7529675, 7591753, 7653462, 7715682, 7778091, 7840077, 7902721, 7965400, 8028007, 8091282, 8154301, 8217789, 8281779, 8346491, 8410181, 8473435, 8538034, 8602606, 8667055, 8731095, 8795704, 8861060, 8925827, 8990742, 9056109, 9121259, 9186991, 9253006, 9319103, 9385354] + +Built regression model! +Model info: + r^2: 0.9999993246025639 + p-value: 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003577917055297621 + intercept: -3.3790168406201992 + slope: 1.406664690865384 +Fractal dimension: 1.406664690865384 diff --git a/fractal_dimension/circle_counting_new/output1e6/pyramids/decagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e6/pyramids/decagonal_pyramid.txt index ecb12a9..75960d7 100644 --- a/fractal_dimension/circle_counting_new/output1e6/pyramids/decagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e6/pyramids/decagonal_pyramid.txt @@ -1,2 +1,28 @@ -2.735656926s -1.3275815916452245 +Counting circles +9% 14.41577882s remaining +18% 7.303730476s remaining +27% 4.838628072s remaining +36% 3.513338314s remaining +45% 2.636532985s remaining +55% 1.9804903619999998s remaining +64% 1.451177297s remaining +73% 1.008336149s remaining +82% 0.62965257s remaining +91% 0.298413096s remaining + +Took 3.14959145s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[1085386, 1099664, 1113964, 1128366, 1142847, 1157270, 1171737, 1186268, 1200876, 1215463, 1230167, 1244870, 1259739, 1274706, 1289476, 1304207, 1319250, 1334138, 1349255, 1364503, 1379546, 1394855, 1409793, 1424969, 1440341, 1455782, 1471189, 1486423, 1501828, 1517296, 1532828, 1548378, 1563940, 1579804, 1595723, 1611581, 1627336, 1643004, 1658861, 1674426, 1690391, 1706096, 1722126, 1738026, 1754178, 1770291, 1786383, 1802464, 1818765, 1834980, 1851321, 1867365, 1883847, 1900268, 1916692, 1933143, 1949757, 1966396, 1982874, 1999529, 2016177, 2032878, 2049526, 2066365, 2083137, 2099787, 2116392, 2132931, 2149839, 2166940, 2183822, 2200494, 2217468, 2234554, 2251497, 2268481, 2285678, 2302828, 2319799, 2337344, 2354335, 2371698, 2389165, 2406625, 2424120, 2441266, 2458737, 2476093, 2493669, 2511182, 2528677, 2546034, 2563752, 2581431, 2599197, 2616865, 2634549, 2652371, 2670322, 2687969] + +Built regression model! +Model info: + r^2: 0.9999997604597992 + p-value: 0 + intercept: -3.536778415261402 + slope: 1.3275815916452245 +Fractal dimension: 1.3275815916452245 diff --git a/fractal_dimension/circle_counting_new/output1e6/pyramids/heptagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e6/pyramids/heptagonal_pyramid.txt index 800231f..7e09fa4 100644 --- a/fractal_dimension/circle_counting_new/output1e6/pyramids/heptagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e6/pyramids/heptagonal_pyramid.txt @@ -1,2 +1,25 @@ -2.502503708s -1.3356416131011466 +Counting circles +13% 7.815937037s remaining +25% 3.99259608s remaining +38% 2.575114438s remaining +50% 1.758989423s remaining +63% 1.184064444s remaining +75% 0.729157659s remaining +88% 0.343087823s remaining + +Took 2.614898835s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[1383262, 1401420, 1419804, 1438079, 1456295, 1474736, 1493330, 1512118, 1530729, 1549432, 1568116, 1587312, 1606398, 1625465, 1644434, 1663754, 1682961, 1702459, 1721695, 1741044, 1760583, 1780275, 1799612, 1819418, 1838933, 1858412, 1878070, 1897967, 1917746, 1937416, 1957445, 1977447, 1997348, 2017328, 2037571, 2057764, 2077874, 2098017, 2118359, 2138902, 2159162, 2179339, 2200060, 2220558, 2241166, 2261721, 2282679, 2303523, 2324319, 2345311, 2366277, 2387192, 2408158, 2429585, 2450477, 2471591, 2492851, 2513976, 2535221, 2556599, 2578029, 2599353, 2620822, 2642092, 2663681, 2685321, 2707017, 2728525, 2750128, 2771936, 2793777, 2815502, 2837330, 2859179, 2881283, 2903066, 2925321, 2947360, 2969713, 2991861, 3013872, 3036338, 3058399, 3080719, 3103423, 3125842, 3148202, 3170860, 3193437, 3216257, 3238882, 3261613, 3284425, 3306923, 3329901, 3352840, 3375675, 3398746, 3421497, 3444281] + +Built regression model! +Model info: + r^2: 0.9999997598034032 + p-value: 0 + intercept: -3.4003938594598875 + slope: 1.3356416131011466 +Fractal dimension: 1.3356416131011466 diff --git a/fractal_dimension/circle_counting_new/output1e6/pyramids/hexagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e6/pyramids/hexagonal_pyramid.txt index 79bce21..e94c6ee 100644 --- a/fractal_dimension/circle_counting_new/output1e6/pyramids/hexagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e6/pyramids/hexagonal_pyramid.txt @@ -1,2 +1,24 @@ -2.521336541s -1.3380091884020555 +Counting circles +14% 6.401401488s remaining +29% 3.313791802s remaining +43% 2.108803906s remaining +57% 1.378191397s remaining +71% 0.83754987s remaining +86% 0.392085957s remaining + +Took 2.612361622s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[1595895, 1616955, 1638211, 1659630, 1680863, 1702108, 1723367, 1744973, 1766897, 1788442, 1810343, 1832161, 1854258, 1876317, 1898444, 1920649, 1942686, 1965133, 1987206, 2009668, 2032094, 2054780, 2077237, 2099687, 2122513, 2145020, 2167554, 2190526, 2213457, 2236406, 2259684, 2282578, 2305542, 2329102, 2352330, 2375679, 2399018, 2422448, 2446092, 2469834, 2493558, 2517415, 2541075, 2564950, 2588661, 2612408, 2636470, 2660571, 2684696, 2709048, 2733337, 2757457, 2781802, 2805956, 2830520, 2854878, 2879407, 2903987, 2928489, 2953037, 2977548, 3002427, 3027538, 3052291, 3077352, 3102447, 3127475, 3152397, 3177541, 3202476, 3227789, 3253047, 3278368, 3303727, 3329333, 3354972, 3380247, 3405779, 3431634, 3457378, 3482567, 3508393, 3534217, 3560279, 3586175, 3612018, 3638088, 3664249, 3690077, 3716107, 3742280, 3768644, 3794884, 3821097, 3847459, 3874167, 3900763, 3927439, 3954058, 3980675] + +Built regression model! +Model info: + r^2: 0.9999998931514534 + p-value: 0 + intercept: -3.2883695047952965 + slope: 1.3380091884020555 +Fractal dimension: 1.3380091884020555 diff --git a/fractal_dimension/circle_counting_new/output1e6/pyramids/nonagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e6/pyramids/nonagonal_pyramid.txt index 116e2eb..0ca1cb6 100644 --- a/fractal_dimension/circle_counting_new/output1e6/pyramids/nonagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e6/pyramids/nonagonal_pyramid.txt @@ -1,2 +1,27 @@ -2.620165407s -1.330172669138874 +Counting circles +10% 11.106793809s remaining +20% 5.6234462s remaining +30% 3.695902849s remaining +40% 2.646427825s remaining +50% 1.94145944s remaining +60% 1.407858634s remaining +70% 0.973925256s remaining +80% 0.606722098s remaining +90% 0.286900607s remaining + +Took 2.744485935s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[1152921, 1167992, 1183184, 1198572, 1213916, 1229187, 1244652, 1260118, 1275681, 1291462, 1307206, 1323016, 1338774, 1354547, 1370309, 1386234, 1402068, 1418185, 1434380, 1450336, 1466251, 1482528, 1498712, 1514815, 1531209, 1547434, 1563553, 1579809, 1596320, 1612853, 1629289, 1645931, 1662419, 1679047, 1695922, 1712694, 1729530, 1746335, 1763255, 1780467, 1797369, 1814397, 1831433, 1848534, 1865531, 1882782, 1899840, 1916993, 1934214, 1951577, 1968931, 1986191, 2003689, 2020846, 2038488, 2055951, 2073403, 2090957, 2108377, 2125990, 2143864, 2161641, 2179291, 2197085, 2214873, 2232847, 2250493, 2268224, 2286345, 2304251, 2322211, 2340208, 2358124, 2376395, 2394418, 2412749, 2431079, 2449374, 2467751, 2486244, 2504833, 2523267, 2541792, 2560344, 2578911, 2597476, 2616084, 2634736, 2653520, 2672255, 2691052, 2709939, 2728634, 2747526, 2766276, 2785115, 2803965, 2822882, 2841956, 2860918] + +Built regression model! +Model info: + r^2: 0.999999665345368 + p-value: 0 + intercept: -3.5104082550715 + slope: 1.330172669138874 +Fractal dimension: 1.330172669138874 diff --git a/fractal_dimension/circle_counting_new/output1e6/pyramids/octagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e6/pyramids/octagonal_pyramid.txt index d983464..7c6d410 100644 --- a/fractal_dimension/circle_counting_new/output1e6/pyramids/octagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e6/pyramids/octagonal_pyramid.txt @@ -1,2 +1,26 @@ -2.549249752s -1.3321426719317444 +Counting circles +11% 9.404877848s remaining +22% 4.769821664s remaining +33% 3.104251612s remaining +44% 2.178748567s remaining +56% 1.545816224s remaining +67% 1.059107592s remaining +78% 0.657230552s remaining +89% 0.310034319s remaining + +Took 2.662047587s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[1247061, 1263491, 1280235, 1296633, 1313249, 1329730, 1346563, 1363436, 1380214, 1396974, 1414053, 1430878, 1448030, 1465241, 1482290, 1499296, 1516684, 1534057, 1551465, 1568574, 1586011, 1603360, 1621054, 1638564, 1656489, 1674219, 1691951, 1709850, 1727661, 1745395, 1763526, 1781245, 1799210, 1817374, 1835458, 1853643, 1871900, 1890385, 1908716, 1926926, 1945054, 1963472, 1981735, 2000236, 2018800, 2037312, 2055943, 2074819, 2093389, 2112023, 2130834, 2149491, 2168159, 2186979, 2206045, 2225118, 2244051, 2263249, 2282408, 2301728, 2320964, 2340043, 2359118, 2378663, 2397880, 2417300, 2436837, 2456227, 2475777, 2495266, 2514810, 2534441, 2554112, 2573703, 2593337, 2613149, 2633093, 2652859, 2672868, 2692612, 2712553, 2732393, 2752721, 2772640, 2792806, 2812635, 2833002, 2853257, 2873481, 2893577, 2913755, 2934140, 2954292, 2974748, 2995132, 3015313, 3035795, 3056395, 3077396, 3098107] + +Built regression model! +Model info: + r^2: 0.9999998510406004 + p-value: 0 + intercept: -3.457881524034457 + slope: 1.3321426719317444 +Fractal dimension: 1.3321426719317444 diff --git a/fractal_dimension/circle_counting_new/output1e6/pyramids/pentagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e6/pyramids/pentagonal_pyramid.txt index 7a7b688..0e35955 100644 --- a/fractal_dimension/circle_counting_new/output1e6/pyramids/pentagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e6/pyramids/pentagonal_pyramid.txt @@ -1,2 +1,23 @@ -2.642878784s -1.3397789158879816 +Counting circles +17% 5.199488485s remaining +33% 2.758868212s remaining +50% 1.71756345s remaining +67% 1.027965171s remaining +83% 0.47865857s remaining + +Took 2.732748118s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[1959684, 1985801, 2012129, 2038136, 2064572, 2090848, 2117443, 2144059, 2170882, 2197916, 2224719, 2251639, 2278459, 2305521, 2332458, 2359535, 2386825, 2414267, 2441702, 2469307, 2496767, 2524624, 2552135, 2580061, 2607823, 2636075, 2664208, 2692430, 2720744, 2749234, 2777686, 2805944, 2834391, 2862808, 2891301, 2919802, 2948827, 2977639, 3006533, 3035773, 3064642, 3093881, 3123042, 3152299, 3181616, 3210993, 3240458, 3269938, 3299696, 3329152, 3358921, 3389292, 3419367, 3449379, 3479223, 3509440, 3539673, 3569693, 3599978, 3630254, 3660787, 3691162, 3721645, 3752559, 3783306, 3813971, 3844645, 3875327, 3906250, 3937209, 3968333, 3999489, 4030832, 4062154, 4093485, 4124959, 4156500, 4187799, 4219535, 4250936, 4282651, 4314315, 4346332, 4378232, 4410049, 4442088, 4474597, 4506679, 4538436, 4570456, 4602557, 4635133, 4667275, 4699505, 4731845, 4764410, 4796944, 4829510, 4862339, 4895242] + +Built regression model! +Model info: + r^2: 0.9999999089156297 + p-value: 0 + intercept: -3.105920299785776 + slope: 1.3397789158879816 +Fractal dimension: 1.3397789158879816 diff --git a/fractal_dimension/circle_counting_new/output1e6/pyramids/square_pyramid.txt b/fractal_dimension/circle_counting_new/output1e6/pyramids/square_pyramid.txt index 6ed608a..b495b55 100644 --- a/fractal_dimension/circle_counting_new/output1e6/pyramids/square_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e6/pyramids/square_pyramid.txt @@ -1,2 +1,22 @@ -2.974403897s -1.3354146639650715 +Counting circles +20% 4.034699336s remaining +40% 2.268479841s remaining +60% 1.343709912s remaining +80% 0.62967183s remaining + +Took 3.024589316s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[2684395, 2719588, 2755022, 2790854, 2826551, 2862894, 2899245, 2935824, 2971875, 3008378, 3044621, 3080922, 3117750, 3154706, 3191576, 3228634, 3265616, 3302882, 3340389, 3378054, 3415894, 3453526, 3491426, 3529558, 3567517, 3605924, 3644242, 3683088, 3721679, 3760206, 3798360, 3837236, 3876139, 3914966, 3954356, 3994246, 4033502, 4073158, 4112669, 4152032, 4191468, 4231060, 4270617, 4310418, 4350332, 4390486, 4430795, 4471098, 4511577, 4551938, 4592332, 4633110, 4673752, 4714414, 4755042, 4796162, 4837391, 4878402, 4918784, 4960474, 5001630, 5043452, 5085055, 5126942, 5168339, 5210050, 5252272, 5294220, 5336360, 5378596, 5420829, 5463562, 5506386, 5549052, 5591234, 5633860, 5676518, 5720238, 5763077, 5806020, 5848666, 5892156, 5935935, 5979362, 6022880, 6066834, 6110254, 6154076, 6197910, 6242132, 6285919, 6329482, 6373472, 6417288, 6461391, 6505672, 6550049, 6594636, 6639495, 6683566] + +Built regression model! +Model info: + r^2: 0.9999997572682645 + p-value: 0 + intercept: -2.7342920791955194 + slope: 1.3354146639650715 +Fractal dimension: 1.3354146639650715 diff --git a/fractal_dimension/circle_counting_new/output1e6/rhombic/rhombic_dodecahedron.txt b/fractal_dimension/circle_counting_new/output1e6/rhombic/rhombic_dodecahedron.txt index db558a1..0cf9f79 100644 --- a/fractal_dimension/circle_counting_new/output1e6/rhombic/rhombic_dodecahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e6/rhombic/rhombic_dodecahedron.txt @@ -1,2 +1,31 @@ -10.448635496s -1.4894426948921908 +Counting circles +7% 5.453954948s remaining +14% 5.016407208s remaining +21% 4.599413459s remaining +29% 4.178736385s remaining +36% 4.722531825s remaining +43% 4.770042722s remaining +50% 4.532793606s remaining +57% 4.116048575s remaining +64% 3.280389665s remaining +71% 2.528660944s remaining +79% 1.838043477s remaining +86% 1.282045181s remaining +93% 0.623843869s remaining + +Took 9.061268703s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[2796578, 2838009, 2879620, 2921476, 2963138, 3005236, 3047065, 3089550, 3132466, 3175840, 3219086, 3262412, 3305396, 3349321, 3393108, 3437934, 3482273, 3526677, 3571365, 3615857, 3660982, 3705732, 3751168, 3797362, 3842865, 3888479, 3934392, 3979758, 4026214, 4073137, 4120348, 4166879, 4214008, 4261366, 4308996, 4356334, 4404237, 4452709, 4500956, 4549221, 4597916, 4646063, 4694981, 4743862, 4793166, 4842493, 4892386, 4941488, 4991391, 5041524, 5091017, 5141514, 5191884, 5242494, 5293988, 5344881, 5396322, 5447433, 5499116, 5550190, 5601848, 5653540, 5705266, 5757876, 5810404, 5862749, 5915646, 5968402, 6021030, 6074338, 6127775, 6181406, 6235216, 6288819, 6342812, 6396692, 6450849, 6504436, 6558872, 6613048, 6667940, 6722918, 6777312, 6832360, 6887828, 6943246, 6999566, 7055390, 7111162, 7167416, 7224122, 7280703, 7337573, 7394426, 7451169, 7507915, 7565103, 7622428, 7679621, 7737271] + +Built regression model! +Model info: + r^2: 0.9999998503577744 + p-value: 0 + intercept: -4.715806606333423 + slope: 1.4894426948921908 +Fractal dimension: 1.4894426948921908 diff --git a/fractal_dimension/circle_counting_new/output1e6/rhombic/rhombic_triacontahedron.txt b/fractal_dimension/circle_counting_new/output1e6/rhombic/rhombic_triacontahedron.txt index bb269f3..c2627f0 100644 --- a/fractal_dimension/circle_counting_new/output1e6/rhombic/rhombic_triacontahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e6/rhombic/rhombic_triacontahedron.txt @@ -1,2 +1,49 @@ -14.063447902s -1.5001373553753052 +Counting circles +3% 25.080473306s remaining +6% 23.00761641s remaining +9% 21.382897148s remaining +13% 19.621745542s remaining +16% 19.484985974s remaining +19% 19.128417572s remaining +22% 17.876063764s remaining +25% 16.789128903s remaining +28% 16.158184526s remaining +31% 15.395297704s remaining +34% 14.744422031s remaining +38% 13.993737773s remaining +41% 12.576282302s remaining +44% 11.286388269s remaining +47% 10.18572295s remaining +50% 9.16064846s remaining +53% 8.292278547s remaining +56% 7.486753037s remaining +59% 6.691337474s remaining +63% 5.9524690289999995s remaining +66% 5.305869245s remaining +69% 4.698673995s remaining +72% 4.112681414s remaining +75% 3.561339732s remaining +78% 3.055715294s remaining +81% 2.5663710650000002s remaining +84% 2.101888482s remaining +88% 1.65114473s remaining +91% 1.2137582120000001s remaining +94% 0.792473546s remaining +97% 0.389132336s remaining + +Took 12.215536422s to count circles + +Done counting circles! +sample points: +[505000.0, 510000.0, 515000.0, 520000.0, 525000.0, 530000.0, 535000.0, 540000.0, 545000.0, 550000.0, 555000.0, 560000.0, 565000.0, 570000.0, 575000.0, 580000.0, 585000.0, 590000.0, 595000.0, 600000.0, 605000.0, 610000.0, 615000.0, 620000.0, 625000.0, 630000.0, 635000.0, 640000.0, 645000.0, 650000.0, 655000.0, 660000.0, 665000.0, 670000.0, 675000.0, 680000.0, 685000.0, 690000.0, 695000.0, 700000.0, 705000.0, 710000.0, 715000.0, 720000.0, 725000.0, 730000.0, 735000.0, 740000.0, 745000.0, 750000.0, 755000.0, 760000.0, 765000.0, 770000.0, 775000.0, 780000.0, 785000.0, 790000.0, 795000.0, 800000.0, 805000.0, 810000.0, 815000.0, 820000.0, 825000.0, 830000.0, 835000.0, 840000.0, 845000.0, 850000.0, 855000.0, 860000.0, 865000.0, 870000.0, 875000.0, 880000.0, 885000.0, 890000.0, 895000.0, 900000.0, 905000.0, 910000.0, 915000.0, 920000.0, 925000.0, 930000.0, 935000.0, 940000.0, 945000.0, 950000.0, 955000.0, 960000.0, 965000.0, 970000.0, 975000.0, 980000.0, 985000.0, 990000.0, 995000.0, 1000000.0] + +number of circles fewer than each of those sample points: +[1472553, 1494503, 1516508, 1538624, 1560719, 1583062, 1605601, 1628180, 1650795, 1673567, 1696483, 1719523, 1742705, 1766036, 1789545, 1813094, 1836687, 1860440, 1884231, 1908014, 1932013, 1955754, 1979582, 2003444, 2027737, 2052277, 2076573, 2101387, 2126126, 2151272, 2175946, 2200892, 2225903, 2251206, 2276654, 2301937, 2327474, 2352994, 2378632, 2404104, 2430109, 2456032, 2481904, 2508049, 2534262, 2560651, 2586790, 2613414, 2640127, 2666662, 2693313, 2720189, 2746993, 2773657, 2800739, 2827671, 2854954, 2882353, 2909878, 2937443, 2965230, 2992970, 3020730, 3048462, 3076191, 3103938, 3131811, 3159935, 3188145, 3216478, 3244739, 3273042, 3301739, 3330259, 3359017, 3387792, 3416893, 3445787, 3475071, 3504320, 3533621, 3562735, 3592107, 3621994, 3651532, 3681258, 3710838, 3740574, 3770316, 3800097, 3830067, 3860032, 3890026, 3920400, 3950570, 3981396, 4011822, 4042343, 4072819, 4103683] + +Built regression model! +Model info: + r^2: 0.9999995920018742 + p-value: 0 + intercept: -5.497537617263966 + slope: 1.5001373553753052 +Fractal dimension: 1.5001373553753052 diff --git a/fractal_dimension/circle_counting_new/output1e7/antiprisms/decagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e7/antiprisms/decagonal_antiprism.txt index 61863b9..2199cc2 100644 --- a/fractal_dimension/circle_counting_new/output1e7/antiprisms/decagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e7/antiprisms/decagonal_antiprism.txt @@ -1,2 +1,37 @@ -12m 14.565223798000034s -1.435339516395261 +Counting circles +5% 18m 27.1864885760001s remaining +10% 16m 43.65631591399995s remaining +15% 14m 45.945812089000015s remaining +20% 12m 52.19535070400002s remaining +25% 11m 14.557583246000036s remaining +30% 9m 57.319493178000016s remaining +35% 9m 0.11418575899995176s remaining +40% 8m 19.544587951999972s remaining +45% 7m 49.28260215099999s remaining +50% 7m 21.326614612000014s remaining +55% 6m 47.24020606900001s remaining +60% 6m 4.657327310000028s remaining +65% 5m 16.332141571000022s remaining +70% 4m 26.23877020499998s remaining +75% 3m 37.38514087300001s remaining +80% 2m 51.154937641000004s remaining +85% 2m 7.550658566999999s remaining +90% 1m 25.488948972000003s remaining +95% 43.371499921s remaining + +Took 14m 42.62119920099997s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[134051660, 135961750, 137879004, 139805682, 141740304, 143681894, 145633274, 147591811, 149555783, 151526916, 153506339, 155495816, 157490743, 159493887, 161504102, 163522864, 165550512, 167582023, 169625826, 171674770, 173734767, 175799263, 177872984, 179953957, 182041282, 184133783, 186236071, 188343584, 190457446, 192577014, 194707897, 196844762, 198987717, 201139634, 203296582, 205463028, 207636100, 209816965, 212003785, 214194952, 216393916, 218598894, 220810007, 223031288, 225258147, 227491353, 229731662, 231977664, 234229941, 236488956, 238755190, 241026733, 243307198, 245593507, 247885852, 250183563, 252488493, 254800305, 257120240, 259444851, 261774257, 264111802, 266452648, 268802976, 271158339, 273520501, 275888477, 278262301, 280643505, 283031694, 285426051, 287823308, 290228078, 292639468, 295053413, 297477261, 299906159, 302342191, 304782873, 307229440, 309685696, 312148374, 314616385, 317086577, 319562963, 322046577, 324537870, 327031373, 329529537, 332034427, 334542661, 337060438, 339583375, 342110349, 344642777, 347182555, 349728886, 352283661, 354842510, 357404359] + +Built regression model! +Model info: + r^2: 0.9999999960688747 + p-value: 0 + intercept: -3.4405920341911056 + slope: 1.435339516395261 +Fractal dimension: 1.435339516395261 diff --git a/fractal_dimension/circle_counting_new/output1e7/antiprisms/heptagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e7/antiprisms/heptagonal_antiprism.txt index 4cc5de0..6da66ff 100644 --- a/fractal_dimension/circle_counting_new/output1e7/antiprisms/heptagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e7/antiprisms/heptagonal_antiprism.txt @@ -1,2 +1,31 @@ -7m 43.15393590299999s -1.4211902385712332 +Counting circles +7% 9m 20.64527849199999s remaining +14% 8m 25.183304609999993s remaining +21% 7m 28.374102343999994s remaining +29% 6m 36.79180131200002s remaining +36% 5m 53.06358735600003s remaining +43% 5m 15.178509244999987s remaining +50% 4m 39.15425424900002s remaining +57% 4m 1.1241372130000116s remaining +64% 3m 20.58016976799999s remaining +71% 2m 39.20895487300001s remaining +79% 1m 58.532538269s remaining +86% 1m 18.890136907s remaining +93% 39.619880422s remaining + +Took 9m 18.348415554999974s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[118462129, 120131933, 121812311, 123496434, 125189010, 126888679, 128592986, 130306119, 132022782, 133746857, 135479949, 137217715, 138961202, 140712999, 142470552, 144234995, 146005947, 147784209, 149569513, 151358443, 153153196, 154955669, 156765242, 158579076, 160402537, 162227743, 164058588, 165897042, 167741196, 169592064, 171449736, 173312921, 175181343, 177057385, 178937375, 180824724, 182715751, 184614651, 186516840, 188425749, 190341838, 192265600, 194192986, 196128128, 198066706, 200010409, 201958573, 203914091, 205873754, 207840879, 209814776, 211791528, 213776510, 215761415, 217755099, 219751695, 221756214, 223764256, 225777780, 227796884, 229823050, 231854313, 233891945, 235933816, 237980297, 240032886, 242089028, 244152534, 246220702, 248293305, 250371025, 252455615, 254545262, 256639790, 258738056, 260842257, 262949904, 265063498, 267179911, 269303325, 271432254, 273567088, 275707604, 277853374, 280002156, 282157931, 284317666, 286483399, 288650980, 290825199, 293003310, 295182147, 297369169, 299563302, 301762655, 303965660, 306172570, 308382898, 310596513, 312815026] + +Built regression model! +Model info: + r^2: 0.9999999940586215 + p-value: 0 + intercept: -3.3457630768791375 + slope: 1.4211902385712332 +Fractal dimension: 1.4211902385712332 diff --git a/fractal_dimension/circle_counting_new/output1e7/antiprisms/hexagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e7/antiprisms/hexagonal_antiprism.txt index ecff927..6136a79 100644 --- a/fractal_dimension/circle_counting_new/output1e7/antiprisms/hexagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e7/antiprisms/hexagonal_antiprism.txt @@ -1,2 +1,29 @@ -6m 15.449075619999974s -1.412656216642195 +Counting circles +8% 6m 8.690331195999988s remaining +17% 5m 32.64589151400003s remaining +25% 4m 55.449515890999976s remaining +33% 4m 20.51631278000002s remaining +42% 3m 48.10575849700001s remaining +50% 3m 16.738356321999987s remaining +58% 2m 44.526775786s remaining +67% 2m 11.438618143000014s remaining +75% 1m 38.229229182s remaining +83% 1m 5.391179592s remaining +92% 32.759229271s remaining + +Took 6m 33.92411670000001s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[110179224, 111724153, 113275228, 114831331, 116392725, 117960674, 119534891, 121114440, 122704204, 124298012, 125897208, 127500690, 129113139, 130729668, 132351579, 133979710, 135614369, 137254032, 138899688, 140550761, 142209400, 143872247, 145538220, 147211300, 148890696, 150577171, 152267023, 153961568, 155664661, 157376077, 159090044, 160809782, 162533193, 164263097, 165997787, 167736702, 169480454, 171231683, 172987340, 174747458, 176515032, 178283707, 180061846, 181843668, 183629334, 185421736, 187217466, 189019312, 190826705, 192637641, 194454669, 196276427, 198102149, 199932633, 201768895, 203607739, 205454296, 207306195, 209165416, 211027530, 212890519, 214762333, 216637867, 218517491, 220402834, 222292874, 224184308, 226082909, 227985628, 229895723, 231805760, 233720641, 235642655, 237569573, 239502274, 241436572, 243376400, 245324219, 247273206, 249227357, 251186094, 253149107, 255115677, 257087311, 259061585, 261043567, 263029438, 265018131, 267013369, 269011920, 271015133, 273021501, 275031740, 277044819, 279067354, 281089940, 283116090, 285150702, 287185221, 289227943] + +Built regression model! +Model info: + r^2: 0.9999999972409942 + p-value: 0 + intercept: -3.2866139339936637 + slope: 1.412656216642195 +Fractal dimension: 1.412656216642195 diff --git a/fractal_dimension/circle_counting_new/output1e7/antiprisms/nonagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e7/antiprisms/nonagonal_antiprism.txt index 6cbe536..1103d4e 100644 --- a/fractal_dimension/circle_counting_new/output1e7/antiprisms/nonagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e7/antiprisms/nonagonal_antiprism.txt @@ -1,2 +1,35 @@ -42.730774872s -1.4314099284870745 +Counting circles +6% 49.317622183s remaining +11% 46.380793184s remaining +17% 45.760282575s remaining +22% 46.458217659s remaining +28% 47.08173985s remaining +33% 46.484299542s remaining +39% 44.127252715s remaining +44% 40.252094087s remaining +50% 35.55841916s remaining +56% 29.483613268s remaining +61% 24.35181659s remaining +67% 19.985771656s remaining +72% 16.149202427s remaining +78% 12.622789014s remaining +83% 9.274878409s remaining +89% 6.049235133s remaining +94% 2.94702822s remaining + +Took 51.513649044s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[8620528, 8742878, 8865433, 8988047, 9110869, 9235145, 9359158, 9483186, 9610479, 9737894, 9865652, 9993037, 10121203, 10249925, 10380199, 10508956, 10639259, 10768398, 10897386, 11028634, 11157467, 11290285, 11423569, 11557755, 11690252, 11824125, 11959226, 12093399, 12229152, 12366318, 12502781, 12639981, 12776707, 12913963, 13052371, 13192010, 13330051, 13470109, 13611143, 13751042, 13893742, 14033782, 14174949, 14317235, 14459616, 14601432, 14744459, 14888236, 15032148, 15176637, 15321790, 15467129, 15614065, 15760336, 15907884, 16054048, 16201079, 16349254, 16497017, 16645102, 16793819, 16942182, 17092894, 17243990, 17394073, 17544408, 17697637, 17849507, 18002264, 18154999, 18308572, 18462034, 18616545, 18770680, 18926706, 19082161, 19238065, 19394517, 19549166, 19705620, 19862044, 20020702, 20179381, 20336798, 20496199, 20654282, 20813709, 20972996, 21133819, 21294014, 21455490, 21616226, 21776873, 21939738, 22103430, 22264408, 22426285, 22591065, 22755103, 22919080] + +Built regression model! +Model info: + r^2: 0.9999996780982833 + p-value: 0 + intercept: -6.124391506788051 + slope: 1.4314099284870745 +Fractal dimension: 1.4314099284870745 diff --git a/fractal_dimension/circle_counting_new/output1e7/antiprisms/octagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e7/antiprisms/octagonal_antiprism.txt index 6fc6099..1314ae6 100644 --- a/fractal_dimension/circle_counting_new/output1e7/antiprisms/octagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e7/antiprisms/octagonal_antiprism.txt @@ -1,2 +1,33 @@ -9m 16.895795063000037s -1.4273431381761477 +Counting circles +6% 10m 28.658150025000054s remaining +13% 9m 32.61653258599995s remaining +19% 8m 45.30409225200003s remaining +25% 7m 51.53956520700001s remaining +31% 7m 3.6462297009999816s remaining +38% 6m 25.04058793600001s remaining +44% 5m 52.75254134099998s remaining +50% 5m 21.53472998699999s remaining +56% 4m 46.300968047000026s remaining +63% 4m 6.193129647999996s remaining +69% 3m 23.547612621000013s remaining +75% 2m 40.98634395600001s remaining +81% 1m 59.870505472000005s remaining +88% 1m 20.036143451s remaining +94% 40.38694485s remaining + +Took 10m 53.74990513600005s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[124850438, 126618697, 128393332, 130172479, 131964185, 133762936, 135566224, 137380323, 139195714, 141024970, 142858080, 144698488, 146546589, 148399856, 150260883, 152128320, 154003672, 155883507, 157773787, 159669085, 161571058, 163481160, 165396461, 167321993, 169253259, 171190254, 173132628, 175082410, 177038402, 178998703, 180967330, 182942686, 184925514, 186915561, 188909792, 190908420, 192913357, 194925638, 196944232, 198970681, 201005273, 203045351, 205088430, 207139504, 209196067, 211260858, 213328405, 215399669, 217479268, 219563350, 221655290, 223754013, 225857123, 227965388, 230078585, 232202357, 234330770, 236467494, 238607643, 240753252, 242905271, 245059181, 247221149, 249387939, 251563766, 253740420, 255923074, 258111719, 260306012, 262507610, 264715099, 266929115, 269144997, 271369355, 273597215, 275828828, 278071207, 280318138, 282569108, 284825999, 287086863, 289352020, 291623839, 293898578, 296181056, 298468650, 300759848, 303058179, 305361154, 307670856, 309984251, 312303610, 314627954, 316959020, 319293453, 321635400, 323978307, 326326291, 328678410, 331034621] + +Built regression model! +Model info: + r^2: 0.9999999972096538 + p-value: 0 + intercept: -3.388287416904884 + slope: 1.4273431381761477 +Fractal dimension: 1.4273431381761477 diff --git a/fractal_dimension/circle_counting_new/output1e7/antiprisms/pentagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e7/antiprisms/pentagonal_antiprism.txt index 9176f24..e1cb488 100644 --- a/fractal_dimension/circle_counting_new/output1e7/antiprisms/pentagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e7/antiprisms/pentagonal_antiprism.txt @@ -1,2 +1,27 @@ -4m 45.192502967999985s -1.3997986357907661 +Counting circles +10% 5m 7.450806415999978s remaining +20% 4m 32.554537960000005s remaining +30% 3m 57.870566628000006s remaining +40% 3m 23.814205232999996s remaining +50% 2m 50.003724291s remaining +60% 2m 16.053740661999996s remaining +70% 1m 41.970519826s remaining +80% 1m 7.935304156000001s remaining +90% 33.974131228s remaining + +Took 5m 40.01974273299999s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[98940725, 100313664, 101694506, 103081152, 104467672, 105864110, 107264740, 108668528, 110079646, 111496548, 112919153, 114344872, 115776653, 117212952, 118653528, 120100615, 121555420, 123012422, 124475604, 125944068, 127415193, 128892379, 130374259, 131859074, 133349626, 134846679, 136345949, 137851815, 139362099, 140875197, 142393420, 143916554, 145444246, 146975602, 148515434, 150057572, 151603664, 153154436, 154709952, 156268953, 157834568, 159405034, 160978380, 162559271, 164144297, 165731431, 167321129, 168916794, 170517630, 172122822, 173728975, 175340258, 176958559, 178579753, 180202744, 181832228, 183464795, 185102512, 186742819, 188388550, 190034804, 191689802, 193348365, 195011355, 196678944, 198346866, 200019306, 201698856, 203383875, 205070424, 206760108, 208455590, 210152413, 211857931, 213563631, 215274326, 216991097, 218710007, 220431611, 222158782, 223888334, 225619779, 227357618, 229100705, 230847275, 232593309, 234344604, 236099141, 237860868, 239623654, 241389559, 243162971, 244937949, 246715231, 248495482, 250280494, 252068365, 253860113, 255657940, 257457817] + +Built regression model! +Model info: + r^2: 0.999999995831821 + p-value: 0 + intercept: -3.1957108494086803 + slope: 1.3997986357907661 +Fractal dimension: 1.3997986357907661 diff --git a/fractal_dimension/circle_counting_new/output1e7/antiprisms/square_antiprism.txt b/fractal_dimension/circle_counting_new/output1e7/antiprisms/square_antiprism.txt index c953815..d0b3dff 100644 --- a/fractal_dimension/circle_counting_new/output1e7/antiprisms/square_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e7/antiprisms/square_antiprism.txt @@ -1,2 +1,25 @@ -3m 16.242146829999996s -1.3784122971151345 +Counting circles +13% 3m 24.152128809999994s remaining +25% 2m 55.117144779s remaining +38% 2m 25.966799025s remaining +50% 1m 56.738290805999995s remaining +63% 1m 27.552827637000007s remaining +75% 58.375118749s remaining +88% 29.186658283s remaining + +Took 3m 53.455359929999986s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[82816314, 83948447, 85083814, 86224826, 87369230, 88519279, 89674312, 90832154, 91994305, 93159607, 94330038, 95504793, 96682175, 97864640, 99049630, 100239459, 101432274, 102628567, 103829092, 105035784, 106245281, 107458554, 108675977, 109895961, 111118702, 112349412, 113581987, 114815718, 116054661, 117296632, 118541885, 119791723, 121045332, 122302378, 123563058, 124827096, 126092683, 127363558, 128636363, 129912654, 131194268, 132480040, 133768487, 135058758, 136351158, 137651268, 138952923, 140257992, 141563806, 142872159, 144185932, 145502581, 146822433, 148148797, 149476206, 150806488, 152140168, 153474836, 154815536, 156160982, 157508274, 158860080, 160211986, 161568046, 162928789, 164289616, 165655291, 167024659, 168397640, 169770127, 171146015, 172525613, 173909472, 175296713, 176684860, 178074926, 179470954, 180871087, 182273380, 183676258, 185082698, 186494473, 187909624, 189324046, 190742472, 192165166, 193589706, 195017021, 196451076, 197882655, 199320878, 200762036, 202206567, 203652887, 205098750, 206549896, 208004206, 209461459, 210918033, 212380522] + +Built regression model! +Model info: + r^2: 0.9999999584024993 + p-value: 0 + intercept: -3.0434270991928294 + slope: 1.3784122971151345 +Fractal dimension: 1.3784122971151345 diff --git a/fractal_dimension/circle_counting_new/output1e7/misc/6v7f1.txt b/fractal_dimension/circle_counting_new/output1e7/misc/6v7f1.txt index f8b9a2e..dc0976f 100644 --- a/fractal_dimension/circle_counting_new/output1e7/misc/6v7f1.txt +++ b/fractal_dimension/circle_counting_new/output1e7/misc/6v7f1.txt @@ -1,2 +1,23 @@ -1m 21.339525291s -1.3241782720617725 +Counting circles +17% 2m 17.165622810000002s remaining +33% 1m 30.714240247999996s remaining +50% 54.868776665s remaining +67% 32.213158243s remaining +83% 16.468162063s remaining + +Took 1m 30.880194552000006s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[51629262, 52306577, 52986176, 53667781, 54353548, 55039865, 55728705, 56419692, 57112222, 57806071, 58504346, 59203013, 59903244, 60606661, 61311019, 62016465, 62725394, 63437001, 64150600, 64864943, 65581234, 66300139, 67021779, 67744139, 68468241, 69194710, 69923199, 70653621, 71386105, 72120462, 72855801, 73594620, 74333807, 75074191, 75815867, 76561581, 77306691, 78054044, 78804389, 79556478, 80309181, 81064643, 81821118, 82578505, 83338009, 84097996, 84861615, 85628924, 86395005, 87164382, 87936173, 88706411, 89480366, 90255653, 91032472, 91810363, 92591926, 93372800, 94154544, 94940777, 95727135, 96515131, 97304472, 98095731, 98886037, 99680694, 100476903, 101273726, 102073418, 102874052, 103675610, 104480951, 105288142, 106095927, 106902742, 107713675, 108526486, 109338824, 110152049, 110968559, 111785441, 112603054, 113422920, 114244516, 115067918, 115892626, 116718361, 117545605, 118374894, 119205467, 120036517, 120869340, 121704460, 122540324, 123374771, 124213826, 125053416, 125893294, 126735210, 127577539] + +Built regression model! +Model info: + r^2: 0.999999994503056 + p-value: 0 + intercept: -2.678975547004626 + slope: 1.3241782720617725 +Fractal dimension: 1.3241782720617725 diff --git a/fractal_dimension/circle_counting_new/output1e7/misc/6v7f2.txt b/fractal_dimension/circle_counting_new/output1e7/misc/6v7f2.txt index 2740562..c7d7a07 100644 --- a/fractal_dimension/circle_counting_new/output1e7/misc/6v7f2.txt +++ b/fractal_dimension/circle_counting_new/output1e7/misc/6v7f2.txt @@ -1,2 +1,23 @@ -55.434810932s -1.3382443253139122 +Counting circles +17% 1m 0.6059064849999984s remaining +33% 48.545065244s remaining +50% 30.357903887s remaining +67% 21.458079284s remaining +83% 9.794022017s remaining + +Took 1m 1.5304016890000014s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[34701770, 35161327, 35623335, 36084339, 36551470, 37019386, 37486996, 37956238, 38427106, 38899024, 39372179, 39849022, 40326211, 40803774, 41284265, 41765226, 42248866, 42733652, 43218317, 43703851, 44192187, 44681897, 45172837, 45666582, 46158163, 46653069, 47149302, 47646843, 48146686, 48645967, 49147948, 49649163, 50153223, 50658849, 51165734, 51673630, 52182577, 52691879, 53204277, 53717313, 54231960, 54748992, 55266419, 55783984, 56302026, 56821331, 57343629, 57864407, 58388374, 58912142, 59437065, 59963491, 60492773, 61024120, 61554141, 62086706, 62618127, 63153382, 63687672, 64223784, 64762427, 65300151, 65839900, 66382144, 66923765, 67468241, 68013830, 68559175, 69104928, 69653849, 70202678, 70751693, 71304593, 71858057, 72411853, 72965636, 73520070, 74076701, 74634879, 75192127, 75752200, 76312366, 76875442, 77437914, 78003530, 78567801, 79134912, 79701838, 80272353, 80839095, 81407660, 81977927, 82547358, 83120782, 83693534, 84267139, 84842186, 85418305, 85997200, 86575135] + +Built regression model! +Model info: + r^2: 0.9999999871019877 + p-value: 0 + intercept: -3.293392425140759 + slope: 1.3382443253139122 +Fractal dimension: 1.3382443253139122 diff --git a/fractal_dimension/circle_counting_new/output1e7/misc/cuboctohedron.txt b/fractal_dimension/circle_counting_new/output1e7/misc/cuboctohedron.txt index 851827e..66429a9 100644 --- a/fractal_dimension/circle_counting_new/output1e7/misc/cuboctohedron.txt +++ b/fractal_dimension/circle_counting_new/output1e7/misc/cuboctohedron.txt @@ -1,2 +1,29 @@ -10m 17.98328540099999s -1.453633058999394 +Counting circles +8% 10m 39.379408976000036s remaining +17% 9m 41.323669995000046s remaining +25% 8m 43.24199546600005s remaining +33% 7m 45.086686224000005s remaining +42% 6m 46.97614521700001s remaining +50% 5m 48.861416034s remaining +58% 4m 50.73351449199998s remaining +67% 3m 52.592722769000005s remaining +75% 2m 54.45663622000001s remaining +83% 1m 56.303382787000004s remaining +92% 58.149826552s remaining + +Took 11m 37.78409909599998s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[175548545, 178079862, 180622683, 183178276, 185745269, 188322646, 190911808, 193509352, 196121477, 198740450, 201373416, 204015901, 206665223, 209326946, 212000477, 214684062, 217376574, 220077578, 222795624, 225520601, 228254674, 231001969, 233763304, 236531766, 239308958, 242097909, 244897553, 247708641, 250524313, 253353465, 256194659, 259043389, 261902660, 264769167, 267644884, 270529935, 273425243, 276330307, 279245694, 282170671, 285106046, 288048613, 291003471, 293968251, 296940697, 299922184, 302915755, 305919212, 308927962, 311948119, 314974743, 318011267, 321057106, 324110694, 327176018, 330249964, 333332829, 336423474, 339524142, 342637837, 345755280, 348878645, 352013938, 355154027, 358305122, 361467134, 364634922, 367811805, 370997863, 374194762, 377397029, 380608458, 383829311, 387057705, 390294395, 393540959, 396793935, 400056530, 403325755, 406606719, 409893624, 413194011, 416496635, 419809771, 423130908, 426459101, 429793553, 433136674, 436489456, 439851592, 443218201, 446597954, 449986385, 453380343, 456781470, 460190398, 463606883, 467030336, 470463309, 473903616] + +Built regression model! +Model info: + r^2: 0.9999999949416333 + p-value: 0 + intercept: -3.453279224431501 + slope: 1.453633058999394 +Fractal dimension: 1.453633058999394 diff --git a/fractal_dimension/circle_counting_new/output1e7/misc/truncated_icosahedron.txt b/fractal_dimension/circle_counting_new/output1e7/misc/truncated_icosahedron.txt index fe777f9..92c1439 100644 --- a/fractal_dimension/circle_counting_new/output1e7/misc/truncated_icosahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e7/misc/truncated_icosahedron.txt @@ -1,2 +1,77 @@ -52m 18.226179132000198s -1.6568625501592362 +Counting circles +2% 70m 53.92219933999968s remaining +3% 60m 19.828260378999857s remaining +5% 60m 44.325912980999874s remaining +7% 56m 5.114324571999987s remaining +8% 56m 39.601794577999954s remaining +10% 56m 52.004061545999775s remaining +12% 54m 9.221345799000119s remaining +13% 52m 1.6203426000001855s remaining +15% 50m 58.37830380200012s remaining +17% 49m 33.16037349499993s remaining +18% 48m 55.70015010599991s remaining +20% 47m 54.718369403999986s remaining +22% 47m 38.78168597700005s remaining +23% 46m 17.729092086000037s remaining +25% 45m 56.962373771999864s remaining +27% 44m 41.39061418199981s remaining +28% 43m 46.07011294699987s remaining +30% 42m 12.965203243999895s remaining +32% 41m 29.166290593000213s remaining +33% 40m 4.236650075999933s remaining +35% 39m 22.805900559999827s remaining +37% 38m 28.354946455000118s remaining +38% 37m 46.58406799300019s remaining +40% 36m 52.96647606899978s remaining +42% 35m 39.94325139200009s remaining +43% 34m 21.817954568999994s remaining +45% 33m 14.495149128000094s remaining +47% 32m 2.097199026999988s remaining +48% 31m 6.728481112000054s remaining +50% 30m 2.534884447999957s remaining +52% 29m 10.76216707499998s remaining +53% 28m 10.495383225000069s remaining +55% 27m 8.739109675000009s remaining +57% 26m 1.1998869179999474s remaining +58% 25m 3.2689533650000158s remaining +60% 23m 59.62061761399991s remaining +62% 23m 3.829349183999966s remaining +63% 21m 59.479324657999996s remaining +65% 21m 5.106196709999949s remaining +67% 20m 2.808121624000023s remaining +68% 19m 4.026812092s remaining +70% 17m 59.32507527300004s remaining +72% 17m 1.9894345000000158s remaining +73% 15m 59.24771531500005s remaining +75% 15m 3.793476157999976s remaining +77% 14m 3.266387057999964s remaining +78% 13m 6.957957876000023s remaining +80% 12m 6.369890748999978s remaining +82% 11m 5.4526696200000515s remaining +83% 10m 2.175061335999999s remaining +85% 9m 1.861254557000052s remaining +87% 7m 59.680320172999984s remaining +88% 7m 0.5577542259999859s remaining +90% 6m 0.7667185980000113s remaining +92% 5m 1.5459519280000222s remaining +93% 4m 1.674033081999994s remaining +95% 3m 0.8730721739999865s remaining +97% 2m 0.22520323700000233s remaining +98% 1m 0.052552024999997116s remaining + +Took 59m 56.26784752000003s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[338185727, 343752129, 349352146, 354988063, 360659445, 366366964, 372111135, 377889306, 383703110, 389551057, 395434855, 401354212, 407308117, 413298422, 419324691, 425381345, 431474734, 437603897, 443772548, 449963394, 456192881, 462459679, 468756281, 475085102, 481450343, 487848579, 494280530, 500741727, 507234991, 513761261, 520329670, 526926548, 533559647, 540221969, 546912906, 553640719, 560400823, 567190350, 574019318, 580878945, 587768430, 594688595, 601642868, 608628328, 615647334, 622699086, 629785489, 636901305, 644050976, 651229827, 658435596, 665676140, 672952391, 680256851, 687589072, 694954173, 702348933, 709779636, 717238204, 724723653, 732245852, 739797957, 747379890, 754995049, 762638154, 770316991, 778019136, 785757204, 793521350, 801317798, 809138321, 816993721, 824878684, 832796369, 840740951, 848714048, 856721854, 864761554, 872827026, 880924125, 889051175, 897204353, 905385107, 913596206, 921833998, 930107475, 938408702, 946735170, 955092384, 963477733, 971899637, 980343428, 988819399, 997322107, 1005855947, 1014415298, 1023000959, 1031616134, 1040267151, 1048942666] + +Built regression model! +Model info: + r^2: 0.9999999977765122 + p-value: 0 + intercept: -5.9344333242876885 + slope: 1.6568625501592362 +Fractal dimension: 1.6568625501592362 diff --git a/fractal_dimension/circle_counting_new/output1e7/platonic_solids/cube.txt b/fractal_dimension/circle_counting_new/output1e7/platonic_solids/cube.txt index 346cabd..1073b42 100644 --- a/fractal_dimension/circle_counting_new/output1e7/platonic_solids/cube.txt +++ b/fractal_dimension/circle_counting_new/output1e7/platonic_solids/cube.txt @@ -1,2 +1,25 @@ -3m 45.121536273000004s -1.4802761539075804 +Counting circles +13% 3m 42.091512083s remaining +25% 3m 10.275369694999995s remaining +38% 2m 38.50477024099999s remaining +50% 2m 6.779825131999999s remaining +63% 1m 35.082568511000005s remaining +75% 1m 3.385825326999999s remaining +88% 31.688935117s remaining + +Took 4m 13.480717249999998s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[152657437, 154897557, 157149842, 159414310, 161688341, 163973565, 166266849, 168571789, 170889732, 173214532, 175548906, 177899311, 180259403, 182626291, 184999770, 187385661, 189781070, 192186361, 194604555, 197031550, 199466261, 201910598, 204362955, 206824946, 209298528, 211785616, 214277637, 216781161, 219293684, 221816248, 224342788, 226885022, 229434349, 231991866, 234559254, 237134549, 239717286, 242310131, 244917460, 247525780, 250148655, 252779898, 255419544, 258067424, 260724687, 263388851, 266061805, 268748158, 271438734, 274139029, 276851810, 279571306, 282300617, 285037730, 287782257, 290533921, 293297525, 296064263, 298841951, 301625109, 304424096, 307230278, 310042417, 312861900, 315690501, 318525730, 321371646, 324224929, 327088938, 329955589, 332834751, 335721532, 338614169, 341515303, 344426951, 347344563, 350268039, 353200986, 356139993, 359085802, 362039278, 364999741, 367974135, 370954059, 373939621, 376933448, 379939698, 382950628, 385967238, 388995297, 392025551, 395073047, 398122250, 401178320, 404234740, 407308932, 410388240, 413477867, 416576324, 419679796] + +Built regression model! +Model info: + r^2: 0.999999996593667 + p-value: 0 + intercept: -4.004212997232294 + slope: 1.4802761539075804 +Fractal dimension: 1.4802761539075804 diff --git a/fractal_dimension/circle_counting_new/output1e7/platonic_solids/dodecahedron.txt b/fractal_dimension/circle_counting_new/output1e7/platonic_solids/dodecahedron.txt index 499e097..8cfb391 100644 --- a/fractal_dimension/circle_counting_new/output1e7/platonic_solids/dodecahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e7/platonic_solids/dodecahedron.txt @@ -1,2 +1,37 @@ -13m 18.640554900999973s -1.5962518843635647 +Counting circles +5% 14m 14.127260364999984s remaining +10% 13m 27.66709562699998s remaining +15% 12m 41.75706526099998s remaining +20% 11m 58.05211937599995s remaining +25% 11m 12.624285084000007s remaining +30% 10m 28.017434079000054s remaining +35% 9m 43.01366554200001s remaining +40% 8m 58.50211342600005s remaining +45% 8m 13.557451620999984s remaining +50% 7m 28.762158263000003s remaining +55% 6m 43.79190283899999s remaining +60% 5m 58.97653956800002s remaining +65% 5m 14.067391295999983s remaining +70% 4m 29.167697506000025s remaining +75% 3m 44.36870173899999s remaining +80% 2m 59.51233367099999s remaining +85% 2m 14.599793925s remaining +90% 1m 29.742583890999995s remaining +95% 44.859498663s remaining + +Took 14m 57.347817305000035s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[240653804, 244467860, 248303815, 252161117, 256043008, 259948107, 263874669, 267822590, 271792531, 275784846, 279797263, 283830413, 287887455, 291966409, 296063732, 300183121, 304318663, 308481689, 312666545, 316871823, 321098064, 325344447, 329609627, 333895130, 338204779, 342532484, 346883862, 351254846, 355646781, 360058660, 364487463, 368940546, 373412476, 377901106, 382407432, 386938854, 391490949, 396061178, 400655136, 405268336, 409899701, 414550751, 419222883, 423915502, 428623494, 433349818, 438100277, 442865163, 447649456, 452458002, 457281962, 462130080, 466991077, 471872255, 476774199, 481693349, 486632262, 491588508, 496560597, 501553487, 506562132, 511594525, 516645160, 521716910, 526804701, 531906577, 537031130, 542173031, 547337483, 552517911, 557710341, 562926920, 568164159, 573414687, 578685458, 583969479, 589275233, 594600494, 599942465, 605301267, 610678716, 616073542, 621486489, 626915619, 632363958, 637827507, 643305575, 648806207, 654320145, 659856458, 665406979, 670977785, 676566561, 682173393, 687798764, 693437634, 699095202, 704770392, 710461674, 716166347] + +Built regression model! +Model info: + r^2: 0.9999999992551923 + p-value: 0 + intercept: -5.339125576729735 + slope: 1.5962518843635647 +Fractal dimension: 1.5962518843635647 diff --git a/fractal_dimension/circle_counting_new/output1e7/platonic_solids/icosahedron.txt b/fractal_dimension/circle_counting_new/output1e7/platonic_solids/icosahedron.txt index 9c1a6b5..d5c4653 100644 --- a/fractal_dimension/circle_counting_new/output1e7/platonic_solids/icosahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e7/platonic_solids/icosahedron.txt @@ -1,2 +1,29 @@ -5m 30.148913026000002s -1.3728957205054073 +Counting circles +8% 5m 46.081786435000026s remaining +17% 5m 14.694765969999992s remaining +25% 4m 43.27013035800002s remaining +33% 4m 11.764875302000007s remaining +42% 3m 40.321667641000005s remaining +50% 3m 8.846075162000005s remaining +58% 2m 37.368583152000014s remaining +67% 2m 5.893710048000003s remaining +75% 1m 34.41931697s remaining +83% 1m 2.9460643880000035s remaining +92% 31.472804882s remaining + +Took 6m 17.701758507000022s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[68886453, 69824080, 70766262, 71711131, 72660006, 73613343, 74568625, 75528656, 76489516, 77454921, 78424304, 79395930, 80370748, 81349661, 82331180, 83314798, 84304263, 85296205, 86290865, 87288449, 88291311, 89297398, 90306001, 91315963, 92329492, 93345383, 94363403, 95385293, 96409292, 97436799, 98467420, 99498984, 100535599, 101574634, 102618688, 103663659, 104709647, 105759669, 106812167, 107870270, 108929699, 109991965, 111056139, 112123192, 113191585, 114263431, 115338563, 116417147, 117499640, 118586372, 119673870, 120761695, 121853301, 122946830, 124044311, 125143644, 126246117, 127350385, 128459089, 129570931, 130684095, 131800458, 132917806, 134038213, 135160724, 136287062, 137416667, 138548444, 139681256, 140816097, 141952437, 143089656, 144231810, 145378134, 146524724, 147676020, 148827572, 149983395, 151141540, 152302045, 153463865, 154629829, 155797332, 156966812, 158138232, 159312443, 160490336, 161668588, 162849002, 164032455, 165218536, 166406455, 167596553, 168789357, 169982369, 171179370, 172379979, 173583182, 174788881, 175994781] + +Built regression model! +Model info: + r^2: 0.9999999473450867 + p-value: 0 + intercept: -3.1424141010466577 + slope: 1.3728957205054073 +Fractal dimension: 1.3728957205054073 diff --git a/fractal_dimension/circle_counting_new/output1e7/platonic_solids/octahedron.txt b/fractal_dimension/circle_counting_new/output1e7/platonic_solids/octahedron.txt index e56584f..ac92131 100644 --- a/fractal_dimension/circle_counting_new/output1e7/platonic_solids/octahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e7/platonic_solids/octahedron.txt @@ -1,2 +1,23 @@ -1m 44.879046272s -1.3352287795995696 +Counting circles +17% 1m 38.732324625000004s remaining +33% 1m 19.003861123999997s remaining +50% 59.24994915s remaining +67% 39.503698274s remaining +83% 19.750799802s remaining + +Took 1m 58.507264762999995s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[58089100, 58858078, 59629852, 60404965, 61182885, 61964168, 62746488, 63531004, 64318214, 65106094, 65899292, 66693240, 67488448, 68288784, 69088242, 69890832, 70695526, 71506122, 72317670, 73130024, 73942956, 74757474, 75577502, 76397008, 77221169, 78047308, 78875788, 79705778, 80539914, 81373203, 82209126, 83048708, 83894164, 84737426, 85583944, 86430546, 87277352, 88128931, 88980850, 89834616, 90692838, 91552684, 92415808, 93280404, 94147716, 95017230, 95888169, 96760166, 97633740, 98511850, 99389772, 100269294, 101152074, 102034779, 102917432, 103805292, 104695198, 105584626, 106476362, 107372522, 108269007, 109166257, 110068016, 110970692, 111874627, 112783845, 113692686, 114602855, 115513296, 116427302, 117343307, 118263015, 119182123, 120101706, 121025260, 121949082, 122875691, 123801085, 124727840, 125658697, 126589754, 127521732, 128457025, 129395855, 130337708, 131280459, 132225195, 133169457, 134115892, 135064972, 136015420, 136968004, 137921986, 138878923, 139833626, 140793323, 141753288, 142714664, 143677486, 144642352] + +Built regression model! +Model info: + r^2: 0.9999999893021478 + p-value: 0 + intercept: -2.731575278225815 + slope: 1.3352287795995696 +Fractal dimension: 1.3352287795995696 diff --git a/fractal_dimension/circle_counting_new/output1e7/prisms/decagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e7/prisms/decagonal_prism.txt index bd7305a..957b422 100644 --- a/fractal_dimension/circle_counting_new/output1e7/prisms/decagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e7/prisms/decagonal_prism.txt @@ -1,2 +1,37 @@ -12m 5.885387681999987s -1.5609070281254505 +Counting circles +5% 14m 32.75302787199996s remaining +10% 13m 19.011936980999963s remaining +15% 12m 3.952796324000019s remaining +20% 10m 54.20441753199998s remaining +25% 9m 53.97270087000004s remaining +30% 9m 4.631354705000035s remaining +35% 8m 24.75045931300002s remaining +40% 7m 51.053571256s remaining +45% 7m 19.473785897000027s remaining +50% 6m 46.50871289600002s remaining +55% 6m 10.169915734000028s remaining +60% 5m 30.181886397000028s remaining +65% 4m 47.669491153000024s remaining +70% 4m 4.294759349000003s remaining +75% 3m 21.48747283899999s remaining +80% 2m 39.96618373800001s remaining +85% 1m 59.686428361s remaining +90% 1m 20.050216894000002s remaining +95% 40.314849564s remaining + +Took 13m 32.93227743199998s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[224100935, 227574050, 231067553, 234581112, 238111513, 241660061, 245228670, 248814566, 252420890, 256045187, 259687969, 263344693, 267025118, 270721974, 274438806, 278176258, 281929087, 285701267, 289487968, 293295874, 297120153, 300959543, 304819831, 308695205, 312585822, 316494017, 320426036, 324370267, 328334696, 332316173, 336314126, 340331986, 344363909, 348410822, 352476540, 356562217, 360663011, 364783954, 368921936, 373071376, 377238623, 381421766, 385624379, 389841215, 394074775, 398324982, 402589816, 406868057, 411169487, 415482471, 419812654, 424158585, 428524259, 432905749, 437303655, 441717922, 446146554, 450592358, 455053003, 459525626, 464017375, 468525120, 473046988, 477583539, 482139832, 486708682, 491291007, 495890002, 500504791, 505134209, 509776702, 514443090, 519117409, 523809362, 528517534, 533240946, 537981054, 542735783, 547503621, 552283368, 557081389, 561889809, 566715524, 571556244, 576411040, 581284410, 586168107, 591070716, 595986450, 600922555, 605866266, 610823030, 615793416, 620776595, 625780808, 630800643, 635830022, 640872368, 645930160, 651006255] + +Built regression model! +Model info: + r^2: 0.9999999983236935 + p-value: 0 + intercept: -4.86482922027357 + slope: 1.5609070281254505 +Fractal dimension: 1.5609070281254505 diff --git a/fractal_dimension/circle_counting_new/output1e7/prisms/heptagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e7/prisms/heptagonal_prism.txt index e6f9b92..34a79de 100644 --- a/fractal_dimension/circle_counting_new/output1e7/prisms/heptagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e7/prisms/heptagonal_prism.txt @@ -1,2 +1,31 @@ -8m 15.578085236999982s -1.5431693285810848 +Counting circles +7% 8m 37.85972641000001s remaining +14% 7m 54.520330950000016s remaining +21% 7m 12.134738599000002s remaining +29% 6m 31.419936510000014s remaining +36% 5m 52.337690716s remaining +43% 5m 14.015392441000017s remaining +50% 4m 35.59463570600002s remaining +57% 3m 56.57339831300001s remaining +64% 3m 17.051783058000012s remaining +71% 2m 37.393168452s remaining +79% 1m 57.871039767s remaining +86% 1m 18.563519122000002s remaining +93% 39.321417137s remaining + +Took 9m 11.27480282700003s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[207499690, 210673211, 213872202, 217084391, 220312925, 223558623, 226820470, 230097129, 233390552, 236702400, 240029930, 243376748, 246740076, 250116608, 253508364, 256917014, 260344782, 263789737, 267246977, 270722891, 274212542, 277718684, 281237873, 284773182, 288322293, 291889855, 295472095, 299069056, 302683811, 306315253, 309961400, 313623121, 317299075, 320987809, 324695965, 328413281, 332149382, 335895254, 339657678, 343434505, 347226606, 351033570, 354854795, 358693309, 362544663, 366407477, 370290452, 374186965, 378096938, 382019126, 385955661, 389910079, 393875255, 397857927, 401852086, 405859630, 409879970, 413913190, 417961128, 422019071, 426094755, 430186298, 434290752, 438408292, 442539052, 446682638, 450841048, 455016162, 459200873, 463399830, 467610071, 471836449, 476077932, 480333430, 484598641, 488880456, 493174596, 497484844, 501805926, 506135353, 510482273, 514840241, 519210415, 523594025, 527992324, 532403402, 536828738, 541263391, 545713931, 550174080, 554648877, 559136637, 563632507, 568140091, 572664509, 577205594, 581757146, 586317689, 590892389, 595480252] + +Built regression model! +Model info: + r^2: 0.9999999971310104 + p-value: 0 + intercept: -4.668047943929899 + slope: 1.5431693285810848 +Fractal dimension: 1.5431693285810848 diff --git a/fractal_dimension/circle_counting_new/output1e7/prisms/hexagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e7/prisms/hexagonal_prism.txt index 9e92efe..bb17a76 100644 --- a/fractal_dimension/circle_counting_new/output1e7/prisms/hexagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e7/prisms/hexagonal_prism.txt @@ -1,2 +1,29 @@ -7m 23.462689995999995s -1.5315700991479402 +Counting circles +8% 7m 1.101550341999996s remaining +17% 6m 22.02600042900002s remaining +25% 5m 43.35126185399997s remaining +33% 5m 5.120635816000004s remaining +42% 4m 27.097423196000022s remaining +50% 3m 49.084969379s remaining +58% 3m 10.979771034999999s remaining +67% 2m 32.750342657999994s remaining +75% 1m 54.518557723s remaining +83% 1m 16.330611028000007s remaining +92% 38.173311846s remaining + +Took 7m 38.25609392400003s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[197355817, 200354525, 203367907, 206396036, 209444988, 212508513, 215586129, 218676929, 221789543, 224912927, 228052479, 231207168, 234374186, 237559160, 240757147, 243968915, 247198492, 250442676, 253699569, 256971056, 260257750, 263563079, 266878668, 270205988, 273549797, 276906143, 280277891, 283664706, 287070928, 290488198, 293912795, 297357042, 300818171, 304291441, 307778964, 311278243, 314787810, 318315209, 321854653, 325409182, 328974445, 332553446, 336148962, 339756746, 343377486, 347014426, 350660506, 354321277, 357996131, 361682852, 365381224, 369093021, 372815560, 376548167, 380296758, 384058199, 387837039, 391628545, 395430011, 399245340, 403075041, 406914152, 410768841, 414633854, 418511744, 422400228, 426304748, 430219408, 434145367, 438091549, 442046128, 446014715, 449993991, 453979712, 457984805, 461996343, 466022751, 470061499, 474112418, 478173181, 482246561, 486333189, 490431405, 494543614, 498667234, 502798587, 506942056, 511104373, 515273090, 519452458, 523649579, 527852557, 532071022, 536296525, 540536449, 544787144, 549049487, 553326154, 557615447, 561913451] + +Built regression model! +Model info: + r^2: 0.999999998365009 + p-value: 0 + intercept: -4.539140917145005 + slope: 1.5315700991479402 +Fractal dimension: 1.5315700991479402 diff --git a/fractal_dimension/circle_counting_new/output1e7/prisms/nonagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e7/prisms/nonagonal_prism.txt index f69e7ee..1711bed 100644 --- a/fractal_dimension/circle_counting_new/output1e7/prisms/nonagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e7/prisms/nonagonal_prism.txt @@ -1,2 +1,35 @@ -11m 33.669149574000016s -1.556663393386475 +Counting circles +6% 13m 1.8388419890000023s remaining +11% 11m 57.32807360000004s remaining +17% 10m 52.998759679000045s remaining +22% 9m 53.64611406400002s remaining +28% 9m 2.075787687000002s remaining +33% 8m 18.049476388000016s remaining +39% 7m 39.268482053000014s remaining +44% 7m 2.4835248250000177s remaining +50% 6m 23.563347997999983s remaining +56% 5m 41.80215589699998s remaining +61% 4m 58.27120288100002s remaining +67% 4m 13.779188465000004s remaining +72% 3m 29.465289805999987s remaining +78% 2m 46.14508317100001s remaining +83% 2m 3.9973337929999957s remaining +89% 1m 22.627944661s remaining +94% 41.438273467s remaining + +Took 12m 28.894876167999996s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[219947957, 223344900, 226762493, 230200018, 233651995, 237127588, 240619339, 244129190, 247655659, 251202513, 254763420, 258345435, 261946588, 265561629, 269196835, 272853510, 276522707, 280207843, 283917863, 287639107, 291381324, 295137257, 298911075, 302700599, 306508877, 310334150, 314174871, 318032153, 321908128, 325799172, 329711188, 333639353, 337579389, 341535567, 345516812, 349509101, 353515846, 357543768, 361584706, 365639056, 369713362, 373802582, 377908042, 382029034, 386166543, 390325173, 394494510, 398680794, 402881625, 407100056, 411332756, 415583177, 419848066, 424127415, 428419473, 432730618, 437059843, 441400603, 445754564, 450124583, 454509334, 458909699, 463326810, 467757145, 472205237, 476663509, 481143398, 485634549, 490144157, 494663770, 499199369, 503752664, 508321332, 512902357, 517500086, 522109765, 526736016, 531375274, 536028016, 540696176, 545380609, 550078395, 554790365, 559520677, 564261725, 569015697, 573786907, 578570847, 583372072, 588186524, 593015980, 597859799, 602712697, 607582988, 612465638, 617366335, 622272637, 627197896, 632133340, 637087289] + +Built regression model! +Model info: + r^2: 0.9999999985665133 + p-value: 0 + intercept: -4.818057539714175 + slope: 1.556663393386475 +Fractal dimension: 1.556663393386475 diff --git a/fractal_dimension/circle_counting_new/output1e7/prisms/octagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e7/prisms/octagonal_prism.txt index 25a1786..01a798f 100644 --- a/fractal_dimension/circle_counting_new/output1e7/prisms/octagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e7/prisms/octagonal_prism.txt @@ -1,2 +1,33 @@ -9m 42.15850053899999s -1.5510101718975449 +Counting circles +6% 10m 22.091026049999982s remaining +13% 9m 31.29625927500001s remaining +19% 8m 41.59309314200004s remaining +25% 7m 55.43339284199999s remaining +31% 7m 13.563509097000008s remaining +38% 6m 34.989398655s remaining +44% 5m 57.820623961000024s remaining +50% 5m 20.307454027000006s remaining +56% 4m 41.392886644999976s remaining +63% 4m 1.1865661589999945s remaining +69% 3m 20.328220251000005s remaining +75% 2m 39.601576247999986s remaining +81% 1m 59.393833579s remaining +88% 1m 19.612757149000004s remaining +94% 39.906315864s remaining + +Took 10m 40.55194132999998s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[214620032, 217926881, 221249644, 224589449, 227946407, 231319991, 234713992, 238125782, 241553902, 245000310, 248464447, 251946578, 255442849, 258956294, 262487351, 266034198, 269602507, 273185111, 276783672, 280401911, 284032557, 287681167, 291345277, 295029849, 298730260, 302444002, 306174865, 309920809, 313682252, 317459530, 321255787, 325070161, 328895253, 332734507, 336593559, 340466717, 344360569, 348266920, 352190665, 356128807, 360081382, 364049671, 368035336, 372031104, 376045023, 380076775, 384123971, 388186969, 392261273, 396354474, 400462349, 404585848, 408722128, 412869786, 417033259, 421214249, 425409455, 429621449, 433849275, 438088721, 442345209, 446613013, 450895488, 455192879, 459503236, 463833019, 468171392, 472527072, 476898009, 481282453, 485680147, 490093738, 494517496, 498955305, 503410643, 507880023, 512364823, 516860892, 521371470, 525899035, 530440292, 534991228, 539555534, 544132048, 548730177, 553333439, 557952968, 562585499, 567235515, 571894591, 576568650, 581257101, 585955778, 590667774, 595395522, 600137201, 604890668, 609662500, 614439665, 619237987] + +Built regression model! +Model info: + r^2: 0.9999999986831933 + p-value: 0 + intercept: -4.755309541430112 + slope: 1.5510101718975449 +Fractal dimension: 1.5510101718975449 diff --git a/fractal_dimension/circle_counting_new/output1e7/prisms/pentagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e7/prisms/pentagonal_prism.txt index e5dfcb1..561b12c 100644 --- a/fractal_dimension/circle_counting_new/output1e7/prisms/pentagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e7/prisms/pentagonal_prism.txt @@ -1,2 +1,27 @@ -5m 26.855685954000023s -1.513248485647511 +Counting circles +10% 5m 43.93940838899999s remaining +20% 5m 5.724964107999995s remaining +30% 4m 27.51738881s remaining +40% 3m 49.29209779600001s remaining +50% 3m 11.080107695999999s remaining +60% 2m 32.858557722s remaining +70% 1m 54.644695219s remaining +80% 1m 16.428372726999996s remaining +90% 38.21434622s remaining + +Took 6m 22.13635736399999s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[181440295, 184167160, 186905097, 189660052, 192428592, 195204776, 197998302, 200806526, 203628599, 206462301, 209313197, 212173574, 215050120, 217932672, 220834104, 223746765, 226675947, 229612862, 232563327, 235525727, 238500986, 241489515, 244488452, 247503838, 250528000, 253567451, 256618216, 259685888, 262760639, 265849619, 268951520, 272060896, 275187964, 278322264, 281472230, 284631911, 287801586, 290986283, 294182185, 297389993, 300611266, 303842268, 307083191, 310338116, 313602714, 316881682, 320171938, 323473298, 326786844, 330111946, 333448949, 336797738, 340157746, 343529810, 346912845, 350306907, 353708891, 357124394, 360549997, 363985200, 367431625, 370892289, 374362698, 377844848, 381336913, 384841753, 388355417, 391879358, 395415012, 398960258, 402516525, 406087853, 409668778, 413257298, 416855763, 420471199, 424091463, 427724986, 431361930, 435011328, 438673259, 442346773, 446026181, 449716198, 453417203, 457131430, 460862937, 464597811, 468342549, 472096240, 475857304, 479635932, 483421915, 487221538, 491028475, 494843722, 498670177, 502501250, 506344253, 510196985] + +Built regression model! +Model info: + r^2: 0.9999999966406777 + p-value: 0 + intercept: -4.340375423552917 + slope: 1.513248485647511 +Fractal dimension: 1.513248485647511 diff --git a/fractal_dimension/circle_counting_new/output1e7/prisms/triangular_prism.txt b/fractal_dimension/circle_counting_new/output1e7/prisms/triangular_prism.txt index 39a50b3..334a7ad 100644 --- a/fractal_dimension/circle_counting_new/output1e7/prisms/triangular_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e7/prisms/triangular_prism.txt @@ -1,2 +1,23 @@ -1m 48.77436999s -1.4065769306208142 +Counting circles +17% 1m 39.400442649s remaining +33% 1m 19.519663178000002s remaining +50% 59.633417446s remaining +67% 39.748018484s remaining +83% 19.872054976s remaining + +Took 1m 59.221830632999996s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[91576315, 92855099, 94139154, 95424511, 96719107, 98019379, 99323736, 100631295, 101942118, 103259324, 104580861, 105908332, 107240792, 108578109, 109920174, 111267409, 112619456, 113976219, 115337693, 116703757, 118070242, 119442572, 120819800, 122205501, 123592393, 124985908, 126382288, 127783399, 129191796, 130602003, 132017530, 133437142, 134861926, 136289392, 137724189, 139157930, 140601087, 142047660, 143497345, 144947695, 146407359, 147868750, 149333670, 150804061, 152282261, 153757435, 155239444, 156728923, 158222351, 159719110, 161219000, 162723022, 164230641, 165743380, 167260460, 168781097, 170302317, 171830805, 173365770, 174903299, 176441828, 177984411, 179530211, 181081226, 182636209, 184195880, 185756252, 187324832, 188897573, 190471995, 192051931, 193633044, 195219798, 196809447, 198404650, 200003252, 201605988, 203207311, 204813797, 206427155, 208040445, 209657000, 211276466, 212904821, 214533452, 216167626, 217802453, 219444267, 221088681, 222735117, 224389963, 226047024, 227703242, 229365777, 231031900, 232698237, 234370414, 236045168, 237720911, 239402246] + +Built regression model! +Model info: + r^2: 0.9999999831203826 + p-value: 0 + intercept: -3.37772040448284 + slope: 1.4065769306208142 +Fractal dimension: 1.4065769306208142 diff --git a/fractal_dimension/circle_counting_new/output1e7/pyramids/decagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e7/pyramids/decagonal_pyramid.txt index e7617c8..0c12006 100644 --- a/fractal_dimension/circle_counting_new/output1e7/pyramids/decagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e7/pyramids/decagonal_pyramid.txt @@ -1,2 +1,28 @@ -57.611165001s -1.3275381236464552 +Counting circles +9% 5m 14.945763559999989s remaining +18% 2m 39.160601523999986s remaining +27% 1m 45.063718769999994s remaining +36% 1m 16.079909414s remaining +45% 56.989853872s remaining +55% 42.77586324s remaining +64% 31.400735397s remaining +73% 21.896067255s remaining +82% 13.725848353s remaining +91% 6.523086485s remaining + +Took 1m 8.888338719000004s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[23074853, 23377945, 23682180, 23988786, 24295395, 24604305, 24912656, 25221538, 25531877, 25844173, 26156453, 26470030, 26784100, 27099565, 27415113, 27731894, 28050303, 28368830, 28688563, 29009210, 29330889, 29653361, 29976209, 30301026, 30624437, 30950291, 31276978, 31603653, 31933023, 32262040, 32591157, 32921524, 33253215, 33584915, 33918375, 34251753, 34586699, 34921841, 35258417, 35596309, 35934421, 36273104, 36612033, 36952414, 37292979, 37635526, 37978081, 38321467, 38665449, 39011072, 39357050, 39702709, 40049890, 40397778, 40746079, 41095758, 41445822, 41796687, 42148441, 42500390, 42853335, 43206554, 43560505, 43915680, 44270227, 44626812, 44983626, 45341184, 45700262, 46060073, 46420118, 46780340, 47142315, 47505662, 47869459, 48232555, 48596247, 48960853, 49327114, 49693740, 50060305, 50427169, 50795215, 51164398, 51532675, 51902031, 52272555, 52644557, 53017426, 53389927, 53763101, 54137969, 54513643, 54889354, 55265433, 55641834, 56019846, 56398032, 56776795, 57154699] + +Built regression model! +Model info: + r^2: 0.9999999910599789 + p-value: 0 + intercept: -3.5361426021545803 + slope: 1.3275381236464552 +Fractal dimension: 1.3275381236464552 diff --git a/fractal_dimension/circle_counting_new/output1e7/pyramids/heptagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e7/pyramids/heptagonal_pyramid.txt index 590860f..b5ef610 100644 --- a/fractal_dimension/circle_counting_new/output1e7/pyramids/heptagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e7/pyramids/heptagonal_pyramid.txt @@ -1,2 +1,25 @@ -54.351280439s -1.335371726957949 +Counting circles +13% 3m 16.007934374s remaining +25% 1m 40.318965639s remaining +38% 1m 4.805863955000007s remaining +50% 44.291511514s remaining +63% 29.840171915s remaining +75% 18.39016017s remaining +88% 8.658267142s remaining + +Took 1m 6.036394465000001s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[29943297, 30339953, 30737131, 31137170, 31537165, 31938725, 32340905, 32743918, 33149715, 33556077, 33964290, 34374009, 34783755, 35195558, 35608427, 36022733, 36436801, 36854043, 37272611, 37691685, 38111680, 38532924, 38956416, 39380247, 39805373, 40231236, 40657216, 41085841, 41515657, 41945608, 42377414, 42809751, 43242713, 43677147, 44112648, 44549588, 44987102, 45424939, 45865548, 46306669, 46748964, 47192536, 47635465, 48081319, 48529037, 48976574, 49425096, 49874875, 50325887, 50777669, 51230772, 51683529, 52138997, 52593328, 53050746, 53508478, 53966899, 54426206, 54885725, 55346589, 55809603, 56272353, 56736437, 57201409, 57667516, 58135155, 58604571, 59074541, 59543481, 60014937, 60486112, 60957849, 61431792, 61906230, 62381679, 62857812, 63335239, 63812923, 64293366, 64772639, 65254705, 65736012, 66219149, 66701925, 67186713, 67672278, 68157277, 68644092, 69132224, 69621445, 70111629, 70603815, 71095939, 71588628, 72081598, 72574874, 73070840, 73566050, 74063077, 74559051] + +Built regression model! +Model info: + r^2: 0.9999999917282787 + p-value: 0 + intercept: -3.3965428637725488 + slope: 1.335371726957949 +Fractal dimension: 1.335371726957949 diff --git a/fractal_dimension/circle_counting_new/output1e7/pyramids/hexagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e7/pyramids/hexagonal_pyramid.txt index e6758fa..69614b0 100644 --- a/fractal_dimension/circle_counting_new/output1e7/pyramids/hexagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e7/pyramids/hexagonal_pyramid.txt @@ -1,2 +1,24 @@ -55.136480903s -1.3382274863975396 +Counting circles +14% 2m 38.614314371999996s remaining +29% 1m 22.086291684000003s remaining +43% 52.274142998s remaining +57% 34.176941727s remaining +71% 20.778644674s remaining +86% 9.723482205s remaining + +Took 1m 4.743006925000003s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[34761471, 35223355, 35684966, 36148439, 36614628, 37081780, 37551349, 38023155, 38494821, 38968106, 39442725, 39918754, 40397939, 40877899, 41358542, 41840251, 42324003, 42809933, 43295294, 43782556, 44270637, 44761918, 45253276, 45745744, 46239175, 46735301, 47231741, 47729931, 48229094, 48730692, 49233218, 49737452, 50242197, 50748733, 51254763, 51763240, 52273667, 52785343, 53297526, 53810241, 54326354, 54841357, 55360705, 55878766, 56397881, 56918411, 57441217, 57963853, 58489056, 59016600, 59542504, 60071980, 60600951, 61132157, 61663503, 62197078, 62730466, 63265580, 63801768, 64340245, 64879464, 65418673, 65959659, 66501200, 67044231, 67588596, 68135215, 68682533, 69230065, 69777492, 70327488, 70877626, 71429991, 71983169, 72538312, 73093670, 73649919, 74206013, 74764204, 75323917, 75885500, 76445680, 77008497, 77572675, 78138223, 78703462, 79270518, 79838976, 80407119, 80975583, 81546388, 82118903, 82690916, 83265092, 83839615, 84414403, 84990388, 85569451, 86149030, 86728820] + +Built regression model! +Model info: + r^2: 0.9999999938814506 + p-value: 0 + intercept: -3.2913712559579302 + slope: 1.3382274863975396 +Fractal dimension: 1.3382274863975396 diff --git a/fractal_dimension/circle_counting_new/output1e7/pyramids/nonagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e7/pyramids/nonagonal_pyramid.txt index e921f7a..a9612e6 100644 --- a/fractal_dimension/circle_counting_new/output1e7/pyramids/nonagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e7/pyramids/nonagonal_pyramid.txt @@ -1,2 +1,27 @@ -55.678196303s -1.329829877914715 +Counting circles +10% 4m 30.173245149000024s remaining +20% 2m 16.590799142999998s remaining +30% 1m 29.547863461000006s remaining +40% 1m 3.9585914589999973s remaining +50% 46.856674223s remaining +60% 33.975515872s remaining +70% 23.544892557s remaining +80% 14.706705259s remaining +90% 6.969366593s remaining + +Took 1m 6.721288267999995s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[24647194, 24971023, 25297004, 25625054, 25952689, 26282623, 26612392, 26943410, 27275319, 27608821, 27942290, 28277922, 28614527, 28952371, 29290847, 29630708, 29970654, 30312292, 30653809, 30996166, 31340457, 31685175, 32031594, 32378916, 32725257, 33074296, 33423683, 33774518, 34126109, 34478618, 34831811, 35185729, 35540503, 35895898, 36252200, 36610617, 36968967, 37327941, 37687853, 38048899, 38409837, 38772027, 39135237, 39499773, 39864527, 40230816, 40597620, 40966135, 41334447, 41703918, 42074288, 42445391, 42817029, 43190223, 43563578, 43937142, 44312105, 44687625, 45063305, 45440897, 45820452, 46198671, 46577606, 46958420, 47339435, 47722315, 48104979, 48488745, 48872502, 49258204, 49643526, 50029734, 50416748, 50804312, 51191627, 51581516, 51971451, 52363040, 52754389, 53146293, 53539642, 53934158, 54328389, 54723708, 55118927, 55515900, 55913629, 56311266, 56709718, 57108678, 57508602, 57909744, 58311578, 58713957, 59116014, 59520470, 59925027, 60329259, 60734598, 61142141] + +Built regression model! +Model info: + r^2: 0.9999999951717262 + p-value: 0 + intercept: -3.505638643613519 + slope: 1.329829877914715 +Fractal dimension: 1.329829877914715 diff --git a/fractal_dimension/circle_counting_new/output1e7/pyramids/octagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e7/pyramids/octagonal_pyramid.txt index 79b2f24..d8d1008 100644 --- a/fractal_dimension/circle_counting_new/output1e7/pyramids/octagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e7/pyramids/octagonal_pyramid.txt @@ -1,2 +1,26 @@ -54.838750508s -1.3325817683113517 +Counting circles +11% 3m 49.43077294400001s remaining +22% 1m 56.340090900999996s remaining +33% 1m 15.692518984000003s remaining +44% 53.08198136s remaining +56% 37.654235932s remaining +67% 25.810694878s remaining +78% 16.034689132s remaining +89% 7.57525202s remaining + +Took 1m 5.109182525999998s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[26811999, 27166799, 27521630, 27878008, 28235929, 28594064, 28954669, 29316418, 29677128, 30040259, 30404111, 30769663, 31136749, 31504316, 31872635, 32243201, 32613804, 32984729, 33357417, 33731259, 34106919, 34483264, 34860346, 35239170, 35618599, 35998752, 36379648, 36762366, 37145660, 37530478, 37916167, 38301972, 38688475, 39077206, 39465569, 39855740, 40246097, 40638292, 41030721, 41425425, 41821391, 42218309, 42614682, 43012044, 43409982, 43809928, 44210508, 44612581, 45013472, 45417245, 45820242, 46226493, 46632528, 47038550, 47446693, 47853837, 48264054, 48675045, 49086548, 49498444, 49911320, 50324660, 50738438, 51152469, 51567152, 51984656, 52401858, 52820594, 53240152, 53660491, 54080963, 54502590, 54925208, 55348725, 55772452, 56198294, 56623668, 57051215, 57477873, 57906211, 58334937, 58764444, 59195044, 59626230, 60057367, 60490693, 60924921, 61359227, 61794149, 62230282, 62666416, 63103155, 63540990, 63979199, 64420697, 64862418, 65303184, 65744107, 66187309, 66630508] + +Built regression model! +Model info: + r^2: 0.999999978567591 + p-value: 0 + intercept: -3.463952621395567 + slope: 1.3325817683113517 +Fractal dimension: 1.3325817683113517 diff --git a/fractal_dimension/circle_counting_new/output1e7/pyramids/pentagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e7/pyramids/pentagonal_pyramid.txt index 516cc88..0a4b949 100644 --- a/fractal_dimension/circle_counting_new/output1e7/pyramids/pentagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e7/pyramids/pentagonal_pyramid.txt @@ -1,2 +1,23 @@ -57.80189446s -1.339627872900268 +Counting circles +17% 2m 9.04761142000001s remaining +33% 1m 8.495404182000001s remaining +50% 42.67068488s remaining +67% 25.551825894s remaining +83% 11.906704525s remaining + +Took 1m 7.988628687000002s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[42850877, 43420927, 43990887, 44563584, 45138211, 45714431, 46293104, 46873772, 47455570, 48039274, 48625650, 49214066, 49803350, 50394849, 50988613, 51583879, 52179362, 52777299, 53377613, 53979075, 54582220, 55187181, 55794053, 56402407, 57011766, 57623296, 58238264, 58853570, 59470487, 60089475, 60709492, 61331152, 61954226, 62580243, 63205599, 63834015, 64463672, 65094260, 65726338, 66360118, 66994804, 67632954, 68272938, 68913425, 69555568, 70197782, 70842314, 71487834, 72135773, 72785394, 73436647, 74089574, 74743778, 75399081, 76055478, 76713770, 77373149, 78033759, 78696580, 79360338, 80027509, 80693723, 81360645, 82029883, 82701401, 83372604, 84044253, 84719765, 85396004, 86073171, 86752552, 87432249, 88113815, 88796361, 89480368, 90165811, 90853451, 91541790, 92231711, 92922612, 93614745, 94307438, 95001357, 95697792, 96395950, 97094488, 97793144, 98496381, 99198911, 99902335, 100608445, 101315944, 102024437, 102733747, 103444467, 104155890, 104868298, 105581001, 106296133, 107011852] + +Built regression model! +Model info: + r^2: 0.9999999959216159 + p-value: 0 + intercept: -3.1038205133647274 + slope: 1.339627872900268 +Fractal dimension: 1.339627872900268 diff --git a/fractal_dimension/circle_counting_new/output1e7/pyramids/square_pyramid.txt b/fractal_dimension/circle_counting_new/output1e7/pyramids/square_pyramid.txt index a7beaf6..776b560 100644 --- a/fractal_dimension/circle_counting_new/output1e7/pyramids/square_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e7/pyramids/square_pyramid.txt @@ -1,2 +1,22 @@ -1m 4.794206638999995s -1.3352287714114646 +Counting circles +20% 1m 39.496015024s remaining +40% 55.96503693s remaining +60% 33.179829061s remaining +80% 15.552962636s remaining + +Took 1m 14.647199928999996s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[58089100, 58858076, 59629852, 60404965, 61182884, 61964168, 62746488, 63531004, 64318214, 65106094, 65899292, 66693240, 67488448, 68288784, 69088246, 69890832, 70695525, 71506123, 72317670, 73130024, 73942956, 74757474, 75577502, 76397008, 77221164, 78047308, 78875788, 79705778, 80539914, 81373202, 82209126, 83048708, 83894164, 84737426, 85583944, 86430546, 87277352, 88128932, 88980850, 89834616, 90692838, 91552684, 92415808, 93280406, 94147716, 95017228, 95888169, 96760167, 97633740, 98511850, 99389772, 100269294, 101152074, 102034779, 102917432, 103805292, 104695198, 105584627, 106476362, 107372516, 108269005, 109166257, 110068018, 110970692, 111874629, 112783842, 113692686, 114602854, 115513296, 116427302, 117343304, 118263012, 119182122, 120101704, 121025258, 121949082, 122875691, 123801085, 124727840, 125658696, 126589756, 127521730, 128457023, 129395854, 130337705, 131280456, 132225194, 133169456, 134115892, 135064970, 136015420, 136968004, 137921986, 138878922, 139833626, 140793324, 141753288, 142714664, 143677486, 144642351] + +Built regression model! +Model info: + r^2: 0.9999999893003992 + p-value: 0 + intercept: -2.7315751519146154 + slope: 1.3352287714114646 +Fractal dimension: 1.3352287714114646 diff --git a/fractal_dimension/circle_counting_new/output1e7/rhombic/rhombic_dodecahedron.txt b/fractal_dimension/circle_counting_new/output1e7/rhombic/rhombic_dodecahedron.txt index 2142a3e..4e99a2a 100644 --- a/fractal_dimension/circle_counting_new/output1e7/rhombic/rhombic_dodecahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e7/rhombic/rhombic_dodecahedron.txt @@ -1,2 +1,31 @@ -4m 24.894079936000026s -1.4894906447120204 +Counting circles +7% 3m 9.040527585000007s remaining +14% 2m 54.44805677400001s remaining +21% 2m 39.93329182599999s remaining +29% 2m 25.381363920000013s remaining +36% 2m 44.56319741799999s remaining +43% 2m 46.190779021s remaining +50% 2m 37.86001148s remaining +57% 2m 23.288678879999992s remaining +64% 1m 54.208745659s remaining +71% 1m 28.041787158999995s remaining +79% 1m 3.9902855079999995s remaining +86% 44.643536597s remaining +93% 21.722442261s remaining + +Took 5m 15.605413601999999s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[86323884, 87599215, 88881025, 90168320, 91464417, 92765200, 94073297, 95384138, 96702149, 98026653, 99356037, 100693405, 102034116, 103382335, 104738194, 106097788, 107465117, 108837444, 110210939, 111593162, 112983328, 114377900, 115776917, 117181409, 118593778, 120010107, 121431538, 122856137, 124287689, 125725275, 127167349, 128611789, 130067920, 131525813, 132990697, 134463631, 135939866, 137421179, 138905080, 140397331, 141892676, 143393716, 144901162, 146411101, 147930421, 149453342, 150979818, 152510834, 154047581, 155588680, 157135917, 158689652, 160244366, 161808445, 163377313, 164948226, 166527012, 168113899, 169702229, 171292732, 172888604, 174489405, 176098683, 177709388, 179326761, 180949076, 182573006, 184202128, 185837691, 187477909, 189122601, 190771905, 192426376, 194083758, 195748220, 197415449, 199089476, 200763107, 202446269, 204134165, 205825869, 207523270, 209224069, 210929049, 212634160, 214350226, 216069966, 217792621, 219524811, 221258277, 222994037, 224734898, 226481396, 228232502, 229985375, 231748638, 233514775, 235280408, 237050979, 238825444] + +Built regression model! +Model info: + r^2: 0.9999999965595813 + p-value: 0 + intercept: -4.7165132344894545 + slope: 1.4894906447120204 +Fractal dimension: 1.4894906447120204 diff --git a/fractal_dimension/circle_counting_new/output1e7/rhombic/rhombic_triacontahedron.txt b/fractal_dimension/circle_counting_new/output1e7/rhombic/rhombic_triacontahedron.txt index 48e51ef..56c3aa9 100644 --- a/fractal_dimension/circle_counting_new/output1e7/rhombic/rhombic_triacontahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e7/rhombic/rhombic_triacontahedron.txt @@ -1,2 +1,49 @@ -6m 6.087826112000016s -1.5000827607722431 +Counting circles +3% 14m 8.425030407999998s remaining +6% 13m 15.124523429999954s remaining +9% 12m 30.908743191999974s remaining +13% 11m 44.28906431099995s remaining +16% 11m 30.941353872000036s remaining +19% 11m 12.887912688000029s remaining +22% 10m 36.60421557500001s remaining +25% 10m 3.774323597000034s remaining +28% 9m 40.01673078199997s remaining +31% 9m 13.519731190000016s remaining +34% 8m 49.37962712700005s remaining +38% 8m 23.19175511100002s remaining +41% 7m 31.819175144999974s remaining +44% 6m 45.830678456999976s remaining +47% 6m 5.923293268999998s remaining +50% 5m 29.376964445s remaining +53% 4m 57.572250208000014s remaining +56% 4m 28.237976117000017s remaining +59% 4m 0.1419110170000124s remaining +63% 3m 34.087197849000006s remaining +66% 3m 10.68131384099999s remaining +69% 2m 48.747209500999986s remaining +72% 2m 27.822860257000002s remaining +75% 2m 8.095477673000005s remaining +78% 1m 49.740364497s remaining +81% 1m 32.108573444s remaining +84% 1m 15.329292869s remaining +88% 59.139966654s remaining +91% 43.500677012s remaining +94% 28.439667577s remaining +97% 13.97159824s remaining + +Took 7m 19.207029583000008s to count circles + +Done counting circles! +sample points: +[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0] + +number of circles fewer than each of those sample points: +[46576548, 47270433, 47967511, 48668573, 49371837, 50078230, 50789765, 51502339, 52219144, 52938685, 53663302, 54391050, 55121082, 55856443, 56593223, 57333374, 58076606, 58821965, 59571019, 60323209, 61078551, 61839360, 62601392, 63365058, 64132902, 64903150, 65677688, 66455132, 67237593, 68022820, 68810451, 69599064, 70391641, 71186966, 71985153, 72785797, 73589836, 74397879, 75209033, 76022208, 76837876, 77656224, 78478678, 79303666, 80131916, 80961431, 81795458, 82631176, 83468677, 84310637, 85154070, 86001692, 86849912, 87703524, 88559071, 89417829, 90279340, 91142681, 92009588, 92880267, 93752226, 94627266, 95505032, 96385782, 97267282, 98153318, 99041144, 99932091, 100826742, 101723281, 102621951, 103522629, 104424234, 105330059, 106238630, 107150005, 108065042, 108982305, 109902337, 110824870, 111749797, 112675608, 113606051, 114537662, 115472195, 116409592, 117350569, 118291617, 119236206, 120184477, 121133287, 122086736, 123041896, 123999947, 124957808, 125920934, 126887788, 127855060, 128822909, 129795345] + +Built regression model! +Model info: + r^2: 0.9999999839480539 + p-value: 0 + intercept: -5.496954647944403 + slope: 1.5000827607722431 +Fractal dimension: 1.5000827607722431 diff --git a/fractal_dimension/circle_counting_new/output1e8/antiprisms/decagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e8/antiprisms/decagonal_antiprism.txt index 3a534c6..aa2fd21 100644 --- a/fractal_dimension/circle_counting_new/output1e8/antiprisms/decagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e8/antiprisms/decagonal_antiprism.txt @@ -1,2 +1,37 @@ -332m 11.123985867998272s -1.4353943913988583 +Counting circles +5% 419m 41.79375409500062s remaining +10% 384m 23.67380763899928s remaining +15% 344m 39.72906340700138s remaining +20% 305m 47.977609411998856s remaining +25% 271m 31.019259701999545s remaining +30% 243m 28.757929171000796s remaining +35% 221m 43.50584207300017s remaining +40% 205m 5.129451294000319s remaining +45% 191m 29.084135242999764s remaining +50% 178m 29.350158069000827s remaining +55% 163m 39.827760120000676s remaining +60% 146m 18.632339329000388s remaining +65% 127m 13.360574018999614s remaining +70% 107m 33.28070889300034s remaining +75% 88m 15.065352474000065s remaining +80% 69m 45.53716323000026s remaining +85% 52m 4.844150149000143s remaining +90% 34m 51.92047711499981s remaining +95% 17m 37.36936473800006s remaining + +Took 357m 1.369048009000835s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[3652860011, 3704876826, 3757136147, 3809592427, 3862279616, 3915189606, 3968310896, 4021664647, 4075226929, 4128998120, 4182982397, 4237183921, 4291592528, 4346218891, 4401049123, 4456082438, 4511314364, 4566759243, 4622404595, 4678262832, 4734317640, 4790589325, 4847044448, 4903712004, 4960567228, 5017652001, 5074912357, 5132347718, 5190008375, 5247850132, 5305874839, 5364109860, 5422540107, 5481142358, 5539952410, 5598954938, 5658134993, 5717517798, 5777095386, 5836842815, 5896771257, 5956884237, 6017188346, 6077669478, 6138364020, 6199223489, 6260259471, 6321486934, 6382880809, 6444455162, 6506207815, 6568149466, 6630274756, 6692556292, 6755028409, 6817681428, 6880513620, 6943516024, 7006682071, 7070015682, 7133521377, 7197209861, 7261073280, 7325098893, 7389300345, 7453659251, 7518199068, 7582902247, 7647774793, 7712814805, 7778022968, 7843385124, 7908936218, 7974662874, 8040543964, 8106578844, 8172784268, 8239157979, 8305681234, 8372357161, 8439203710, 8506185469, 8573346377, 8640675317, 8708163955, 8775796151, 8843603095, 8911559413, 8979682593, 9047961549, 9116396715, 9184976844, 9253700537, 9322595850, 9391662213, 9460865753, 9530233385, 9599751755, 9669416034, 9739244140] + +Built regression model! +Model info: + r^2: 0.999999999826512 + p-value: 0 + intercept: -3.4415132570229474 + slope: 1.4353943913988583 +Fractal dimension: 1.4353943913988583 diff --git a/fractal_dimension/circle_counting_new/output1e8/antiprisms/heptagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e8/antiprisms/heptagonal_antiprism.txt index 686167f..aa90a59 100644 --- a/fractal_dimension/circle_counting_new/output1e8/antiprisms/heptagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e8/antiprisms/heptagonal_antiprism.txt @@ -1,2 +1,31 @@ -203m 15.402857238999786s -1.4212136926407724 +Counting circles +7% 238m 46.96654647700052s remaining +14% 217m 9.528523204999146s remaining +21% 195m 1.2384025200008182s remaining +29% 174m 16.12391240999932s remaining +36% 155m 40.99131115400087s remaining +43% 138m 44.3683457219995s remaining +50% 122m 21.14859752099983s remaining +57% 105m 22.035903152000174s remaining +64% 87m 40.49392048200025s remaining +71% 69m 47.062646979999954s remaining +79% 52m 5.499894212000072s remaining +86% 34m 41.4204498969998s remaining +93% 17m 23.55007224699989s remaining + +Took 244m 30.984094588000517s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[3124683893, 3168747212, 3212976975, 3257397870, 3302011981, 3346795336, 3391751423, 3436897880, 3482215270, 3527711635, 3573373365, 3619218923, 3665244468, 3711422379, 3757758849, 3804287862, 3850984272, 3897848392, 3944877643, 3992076890, 4039448631, 4086963726, 4134656240, 4182515566, 4230542472, 4278720578, 4327057582, 4375574172, 4424245411, 4473067214, 4522039059, 4571175871, 4620478453, 4669923070, 4719521202, 4769281020, 4819204047, 4869273973, 4919492986, 4969873568, 5020413186, 5071099808, 5121921851, 5172911531, 5224045228, 5275315939, 5326750902, 5378319494, 5430029464, 5481894392, 5533903328, 5586061676, 5638363340, 5690802492, 5743385187, 5796114336, 5848984746, 5902000391, 5955160228, 6008455885, 6061896984, 6115462104, 6169194613, 6223058398, 6277058751, 6331202069, 6385474244, 6439884199, 6494414812, 6549086565, 6603900542, 6658853168, 6713927392, 6769164521, 6824520838, 6880015385, 6935652140, 6991405657, 7047303276, 7103345650, 7159488426, 7215764755, 7272179102, 7328719394, 7385401335, 7442203154, 7499128025, 7556192052, 7613385561, 7670703313, 7728136330, 7785705490, 7843390310, 7901206484, 7959142229, 8017218611, 8075409195, 8133726394, 8192170401, 8250729709] + +Built regression model! +Model info: + r^2: 0.9999999998790712 + p-value: 0 + intercept: -3.3461535746284383 + slope: 1.4212136926407724 +Fractal dimension: 1.4212136926407724 diff --git a/fractal_dimension/circle_counting_new/output1e8/antiprisms/hexagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e8/antiprisms/hexagonal_antiprism.txt index a89b1d9..36a8b9b 100644 --- a/fractal_dimension/circle_counting_new/output1e8/antiprisms/hexagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e8/antiprisms/hexagonal_antiprism.txt @@ -1,2 +1,29 @@ -160m 25.535671706000358s -1.412636512563388 +Counting circles +8% 179m 18.564026330999695s remaining +17% 162m 7.702315894999629s remaining +25% 144m 46.951286879999316s remaining +33% 128m 9.73130718199991s remaining +42% 111m 58.95607888900031s remaining +50% 95m 29.363712014000157s remaining +58% 79m 14.359385327999917s remaining +67% 63m 2.567674836000151s remaining +75% 47m 0.9716854719999901s remaining +83% 31m 13.542783500000041s remaining +92% 15m 35.47951848499997s remaining + +Took 187m 7.381939224000234s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[2849413195, 2889347114, 2929436949, 2969697009, 3010117510, 3050692272, 3091421439, 3132323900, 3173371905, 3214567709, 3255920355, 3297422443, 3339097497, 3380914368, 3422885918, 3464996910, 3507273292, 3549701201, 3592276555, 3634987503, 3677849196, 3720855957, 3764006495, 3807311172, 3850745761, 3894342711, 3938067516, 3981939506, 4025960076, 4070117355, 4114414856, 4158852678, 4203440475, 4248155603, 4293002111, 4338001861, 4383127358, 4428394954, 4473797990, 4519329298, 4564991994, 4610797217, 4656733307, 4702807565, 4749003838, 4795340441, 4841799060, 4888373764, 4935099848, 4981945097, 5028937604, 5076042832, 5123271646, 5170640759, 5218141187, 5265773968, 5313522782, 5361394600, 5409388522, 5457499337, 5505747437, 5554119522, 5602619771, 5651233150, 5699975507, 5748836051, 5797827959, 5846920097, 5896147445, 5945482176, 5994939266, 6044547556, 6094264916, 6144084714, 6194023562, 6244090409, 6294263417, 6344562075, 6394975192, 6445500050, 6496143714, 6546892698, 6597760290, 6648743427, 6699845611, 6751062022, 6802392173, 6853835525, 6905398235, 6957075983, 7008865449, 7060762035, 7112774893, 7164892824, 7217109634, 7269443500, 7321895043, 7374458421, 7427139419, 7479915331] + +Built regression model! +Model info: + r^2: 0.9999999998668782 + p-value: 0 + intercept: -3.2862447559617323 + slope: 1.412636512563388 +Fractal dimension: 1.412636512563388 diff --git a/fractal_dimension/circle_counting_new/output1e8/antiprisms/nonagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e8/antiprisms/nonagonal_antiprism.txt index 346b2b5..7e0b1c5 100644 --- a/fractal_dimension/circle_counting_new/output1e8/antiprisms/nonagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e8/antiprisms/nonagonal_antiprism.txt @@ -1,2 +1,35 @@ -19m 12.769360921000043s -1.4317142943968555 +Counting circles +6% 21m 37.74140642900011s remaining +11% 20m 22.17647420000003s remaining +17% 19m 46.90653829500002s remaining +22% 19m 33.58520152599999s remaining +28% 19m 18.014688035000063s remaining +33% 18m 41.05479981799999s remaining +39% 17m 33.9057384140001s remaining +44% 16m 0.8526950269999816s remaining +50% 14m 13.382365002000029s remaining +56% 11m 50.15936319800005s remaining +61% 9m 47.99319123299995s remaining +67% 8m 2.6295438239999953s remaining +72% 6m 29.22028791499997s remaining +78% 5m 3.419260436000002s remaining +83% 3m 42.40035731500001s remaining +89% 2m 24.850541012000008s remaining +94% 1m 10.597655089s remaining + +Took 20m 36.52571240599991s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[232859772, 236164932, 239486611, 242822144, 246168442, 249526523, 252898371, 256293893, 259700281, 263118073, 266547062, 269992055, 273442279, 276915323, 280393631, 283897358, 287404861, 290930875, 294471186, 298017376, 301576761, 305161146, 308744546, 312344995, 315962095, 319588483, 323218520, 326866705, 330528665, 334204374, 337892317, 341591804, 345310428, 349040348, 352777343, 356520002, 360281850, 364050843, 367838518, 371632098, 375440044, 379258398, 383090007, 386931272, 390781503, 394647897, 398521097, 402408165, 406309851, 410216543, 414131595, 418067542, 422011124, 425971017, 429936684, 433909688, 437892734, 441901009, 445918088, 449935746, 453963065, 458007798, 462062558, 466116210, 470191524, 474269428, 478363731, 482468106, 486590569, 490716230, 494846427, 498997414, 503157191, 507332035, 511511866, 515695602, 519889535, 524094605, 528310660, 532542211, 536788688, 541039173, 545297658, 549567356, 553846767, 558139860, 562440529, 566756440, 571081715, 575412333, 579745079, 584098907, 588464359, 592833703, 597215386, 601608897, 606006886, 610412525, 614837098, 619267009] + +Built regression model! +Model info: + r^2: 0.9999999923890723 + p-value: 0 + intercept: -6.129103325011268 + slope: 1.4317142943968555 +Fractal dimension: 1.4317142943968555 diff --git a/fractal_dimension/circle_counting_new/output1e8/antiprisms/octagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e8/antiprisms/octagonal_antiprism.txt index e69de29..0c38666 100644 --- a/fractal_dimension/circle_counting_new/output1e8/antiprisms/octagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e8/antiprisms/octagonal_antiprism.txt @@ -0,0 +1,33 @@ +Counting circles +6% 290m 45.00231773999985s remaining +13% 265m 5.943882681000105s remaining +19% 234m 30.575452127999597s remaining +25% 207m 21.953532969000662s remaining +31% 184m 45.586550048999925s remaining +38% 166m 8.288799050000307s remaining +44% 150m 3.4120100000000093s remaining +50% 134m 47.57705533300032s remaining +56% 118m 46.29864346700015s remaining +63% 101m 39.56307714600007s remaining +69% 84m 1.7070432609998534s remaining +75% 66m 32.40993037599992s remaining +81% 49m 33.55851661299994s remaining +88% 33m 0.46585651200007305s remaining +94% 16m 34.562173056000006s remaining + +Took 266m 52.57805346799978s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[3339566323, 3386854989, 3434349308, 3482031403, 3529927073, 3578007174, 3626283723, 3674753103, 3723407764, 3772264280, 3821300482, 3870541875, 3919957646, 3969563772, 4019354980, 4069326895, 4119477460, 4169828977, 4220348323, 4271049696, 4321951843, 4373007249, 4424249161, 4475669547, 4527295148, 4579073901, 4631024978, 4683164597, 4735472898, 4787958239, 4840611158, 4893437704, 4946435153, 4999605136, 5052945139, 5106445752, 5160114944, 5213958690, 5267969395, 5322150446, 5376485424, 5430976130, 5485644491, 5540468399, 5595472390, 5650628220, 5705945127, 5761422021, 5817068800, 5872875599, 5928844291, 5984974074, 6041241179, 6097669223, 6154274231, 6211012725, 6267914444, 6324976848, 6382192726, 6439553309, 6497064590, 6554737981, 6612570683, 6670546550, 6728682448, 6786963882, 6845381960, 6903976268, 6962702808, 7021596090, 7080626525, 7139812059, 7199137978, 7258582685, 7318194401, 7377958147, 7437858344, 7497914288, 7558100269, 7618440337, 7678928519, 7739552787, 7800324122, 7861240486, 7922278711, 7983470485, 8044798247, 8106279352, 8167885241, 8229642395, 8291519065, 8353556465, 8415710414, 8478016158, 8540465007, 8603058923, 8665779922, 8728644225, 8791624637, 8854764420] + +Built regression model! +Model info: + r^2: 0.9999999999055258 + p-value: 0 + intercept: -3.3871583548462425 + slope: 1.4272748174765624 +Fractal dimension: 1.4272748174765624 diff --git a/fractal_dimension/circle_counting_new/output1e8/antiprisms/pentagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output1e8/antiprisms/pentagonal_antiprism.txt index 31bcda3..70f93e4 100644 --- a/fractal_dimension/circle_counting_new/output1e8/antiprisms/pentagonal_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e8/antiprisms/pentagonal_antiprism.txt @@ -1,2 +1,27 @@ -118m 24.678008058999694s -1.3998060769250533 +Counting circles +10% 114m 32.11244251199969s remaining +20% 101m 40.01664454799993s remaining +30% 88m 50.99194876900037s remaining +40% 76m 8.30171697700007s remaining +50% 63m 28.76908523200018s remaining +60% 50m 47.62324974000012s remaining +70% 38m 5.034873714999776s remaining +80% 25m 22.939125084999887s remaining +90% 12m 41.551296140999966s remaining + +Took 126m 57.79700588000014s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[2484236989, 2518739640, 2553384659, 2588151412, 2623040672, 2658081869, 2693251956, 2728548774, 2763975826, 2799545008, 2835245952, 2871058706, 2906999031, 2943074393, 2979270736, 3015598897, 3052049344, 3088622056, 3125324325, 3162152609, 3199105703, 3236184979, 3273380324, 3310687537, 3348128284, 3385685095, 3423348458, 3461145650, 3499052375, 3537083550, 3575231023, 3613482826, 3651857414, 3690348858, 3728947148, 3767654705, 3806484446, 3845432273, 3884505205, 3923673716, 3962964984, 4002372612, 4041874791, 4081509894, 4121251384, 4161083196, 4201037114, 4241091862, 4281269474, 4321528909, 4361911051, 4402392295, 4442981944, 4483694999, 4524507555, 4565423393, 4606441909, 4647572774, 4688799582, 4730127776, 4771563730, 4813110191, 4854735276, 4896483649, 4938329919, 4980288555, 5022328473, 5064470958, 5106708610, 5149064895, 5191520575, 5234069611, 5276705991, 5319454686, 5362300208, 5405237183, 5448271418, 5491417968, 5534644481, 5577974621, 5621404962, 5664933970, 5708556627, 5752273134, 5796079470, 5839988038, 5883985719, 5928081316, 5972262851, 6016526285, 6060913789, 6105372568, 6149936265, 6194585995, 6239340882, 6284163702, 6329084470, 6374108195, 6419214512, 6464407557] + +Built regression model! +Model info: + r^2: 0.9999999998993535 + p-value: 0 + intercept: -3.195804070619271 + slope: 1.3998060769250533 +Fractal dimension: 1.3998060769250533 diff --git a/fractal_dimension/circle_counting_new/output1e8/antiprisms/square_antiprism.txt b/fractal_dimension/circle_counting_new/output1e8/antiprisms/square_antiprism.txt index fb1bf1e..be6ecbe 100644 --- a/fractal_dimension/circle_counting_new/output1e8/antiprisms/square_antiprism.txt +++ b/fractal_dimension/circle_counting_new/output1e8/antiprisms/square_antiprism.txt @@ -1,2 +1,25 @@ -76m 47.920212285999696s -1.3782987622869496 +Counting circles +13% 72m 6.993940346000272s remaining +25% 61m 50.893139768999845s remaining +38% 51m 30.421798860999843s remaining +50% 42m 7.416079186999923s remaining +63% 32m 16.858419309000055s remaining +75% 21m 51.282566149000104s remaining +88% 11m 1.0761457549999704s remaining + +Took 88m 40.864232314999754s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[1979263857, 2006332333, 2033498379, 2060763464, 2088118144, 2115581902, 2143139452, 2170794572, 2198552434, 2226396801, 2254340660, 2282381553, 2310512740, 2338738719, 2367059214, 2395474630, 2423988568, 2452593882, 2481285769, 2510072985, 2538952576, 2567912847, 2596976712, 2626123091, 2655358202, 2684673239, 2714085807, 2743577288, 2773163695, 2802840087, 2832597208, 2862441215, 2892364699, 2922390565, 2952490998, 2982677819, 3012944700, 3043291554, 3073715605, 3104239243, 3134845838, 3165523789, 3196297769, 3227148240, 3258075546, 3289080270, 3320169356, 3351343430, 3382596076, 3413928304, 3445326210, 3476813463, 3508379126, 3540031351, 3571743145, 3603545778, 3635417588, 3667365982, 3699396111, 3731502139, 3763691912, 3795955776, 3828285173, 3860701494, 3893174803, 3925733072, 3958366396, 3991067641, 4023846880, 4056697314, 4089631930, 4122630677, 4155699286, 4188856197, 4222071725, 4255367400, 4288722639, 4322160473, 4355665222, 4389250195, 4422893439, 4456606650, 4490385104, 4524251487, 4558184356, 4592197226, 4626258551, 4660388365, 4694607460, 4728882432, 4763221507, 4797632555, 4832112867, 4866661080, 4901278997, 4935961109, 4970701494, 5005518761, 5040406048, 5075349874] + +Built regression model! +Model info: + r^2: 0.9999999994502459 + p-value: 0 + intercept: -3.041557419516213 + slope: 1.3782987622869496 +Fractal dimension: 1.3782987622869496 diff --git a/fractal_dimension/circle_counting_new/output1e8/misc/6v7f1.txt b/fractal_dimension/circle_counting_new/output1e8/misc/6v7f1.txt index c5e7e26..e432b3d 100644 --- a/fractal_dimension/circle_counting_new/output1e8/misc/6v7f1.txt +++ b/fractal_dimension/circle_counting_new/output1e8/misc/6v7f1.txt @@ -1,2 +1,23 @@ -28m 1.574044115000106s -1.3242350081784096 +Counting circles +17% 51m 9.816372854999827s remaining +33% 33m 49.631329527999924s remaining +50% 20m 27.778080301000045s remaining +67% 12m 0.36877899700004946s remaining +83% 6m 8.290777545000026s remaining + +Took 33m 52.310088939000025s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[1089188931, 1103493493, 1117839946, 1132238249, 1146687623, 1161170121, 1175700507, 1190268791, 1204885185, 1219542571, 1234244120, 1248987762, 1263774830, 1278601560, 1293472008, 1308379355, 1323341803, 1338340218, 1353383617, 1368464625, 1383587746, 1398749989, 1413946083, 1429190972, 1444473585, 1459796928, 1475157114, 1490561372, 1506002727, 1521481769, 1536996969, 1552552135, 1568149348, 1583779023, 1599446360, 1615150348, 1630895552, 1646674856, 1662501958, 1678357216, 1694257255, 1710189674, 1726163071, 1742169628, 1758215080, 1774291421, 1790401062, 1806555977, 1822738421, 1838952776, 1855203743, 1871485567, 1887803176, 1904155297, 1920551202, 1936978733, 1953432619, 1969929962, 1986460221, 2003026844, 2019627948, 2036254261, 2052916246, 2069605280, 2086332510, 2103089182, 2119876787, 2136708267, 2153569442, 2170456591, 2187378605, 2204330463, 2221318838, 2238333579, 2255383674, 2272470979, 2289585072, 2306734599, 2323914330, 2341115740, 2358357339, 2375622356, 2392919594, 2410245516, 2427605489, 2444995589, 2462416900, 2479863751, 2497346804, 2514857442, 2532399470, 2549970757, 2567571622, 2585205844, 2602870959, 2620562660, 2638278385, 2656035741, 2673814631, 2691619644] + +Built regression model! +Model info: + r^2: 0.9999999994870987 + p-value: 0 + intercept: -2.6798980259627214 + slope: 1.3242350081784096 +Fractal dimension: 1.3242350081784096 diff --git a/fractal_dimension/circle_counting_new/output1e8/misc/6v7f2.txt b/fractal_dimension/circle_counting_new/output1e8/misc/6v7f2.txt index 4e3056e..abc43cd 100644 --- a/fractal_dimension/circle_counting_new/output1e8/misc/6v7f2.txt +++ b/fractal_dimension/circle_counting_new/output1e8/misc/6v7f2.txt @@ -1,2 +1,23 @@ -19m 38.05958461s -1.3382110621381005 +Counting circles +17% 23m 19.924120679999987s remaining +33% 18m 40.43256839800006s remaining +50% 11m 40.403706083999964s remaining +67% 8m 15.171629885000016s remaining +83% 3m 46.043503285000014s remaining + +Took 23m 40.047734581999975s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[756065133, 766092170, 776164828, 786258816, 796391520, 806556969, 816764381, 826992450, 837256711, 847559703, 857890402, 868247948, 878637643, 889055457, 899505336, 909990270, 920500902, 931038747, 941612616, 952215998, 962851292, 973507950, 984206697, 994922976, 1005676795, 1016459455, 1027266768, 1038103581, 1048964238, 1059865990, 1070796677, 1081754327, 1092734785, 1103738718, 1114775133, 1125846928, 1136932220, 1148051725, 1159197184, 1170375529, 1181570440, 1192801360, 1204057056, 1215338322, 1226640915, 1237976721, 1249337248, 1260719312, 1272132047, 1283569310, 1295033612, 1306522342, 1318040494, 1329573263, 1341133124, 1352730604, 1364348571, 1375994701, 1387664859, 1399367904, 1411080176, 1422823091, 1434582089, 1446373920, 1458185516, 1470028756, 1481884854, 1493778912, 1505689619, 1517623035, 1529581731, 1541566857, 1553574997, 1565603461, 1577650125, 1589722905, 1601830280, 1613964911, 1626110028, 1638268654, 1650460212, 1662678196, 1674908674, 1687163552, 1699447472, 1711749916, 1724077301, 1736421068, 1748789705, 1761188012, 1773592469, 1786037387, 1798491086, 1810973436, 1823479113, 1836009480, 1848550260, 1861122712, 1873713213, 1886322212] + +Built regression model! +Model info: + r^2: 0.9999999995822884 + p-value: 0 + intercept: -3.292864011658395 + slope: 1.3382110621381005 +Fractal dimension: 1.3382110621381005 diff --git a/fractal_dimension/circle_counting_new/output1e8/misc/cuboctohedron.txt b/fractal_dimension/circle_counting_new/output1e8/misc/cuboctohedron.txt index fce2952..c2ebb9c 100644 --- a/fractal_dimension/circle_counting_new/output1e8/misc/cuboctohedron.txt +++ b/fractal_dimension/circle_counting_new/output1e8/misc/cuboctohedron.txt @@ -1,2 +1,29 @@ -290m 5.589679468001123s -1.4535878302150287 +Counting circles +8% 319m 5.6025375009994605s remaining +17% 290m 58.49788425999941s remaining +25% 261m 32.89171111699943s remaining +33% 232m 20.31746383599966s remaining +42% 203m 12.021691817000828s remaining +50% 174m 7.215048258000024s remaining +58% 145m 4.307906632000595s remaining +67% 116m 2.487608661000195s remaining +75% 87m 1.2609327250002025s remaining +83% 58m 0.5265065039998262s remaining +92% 29m 0.2981485170000724s remaining + +Took 348m 4.225711586001125s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[4988678993, 5060639548, 5132907237, 5205510387, 5278427803, 5351662485, 5425200732, 5499066610, 5573229811, 5647707295, 5722500261, 5797595062, 5872992284, 5948690579, 6024683227, 6100986182, 6177583951, 6254469845, 6331661565, 6409150250, 6486930641, 6565014340, 6643364938, 6722017353, 6800973082, 6880219718, 6959742934, 7039538410, 7119613424, 7199982236, 7280632311, 7361565009, 7442779999, 7524261037, 7606003385, 7688031550, 7770352937, 7852921101, 7935775211, 8018898211, 8102285480, 8185939716, 8269866965, 8354074835, 8438526723, 8523258707, 8608237951, 8693490546, 8779007898, 8864780050, 8950831004, 9037145304, 9123710269, 9210519057, 9297585033, 9384899846, 9472483188, 9560315270, 9648403577, 9736752526, 9825326382, 9914140645, 10003222725, 10092553934, 10182128280, 10271953206, 10362003784, 10452320777, 10542876819, 10633671547, 10724714462, 10815994505, 10907530491, 10999303827, 11091303722, 11183543028, 11276039915, 11368772794, 11461733164, 11554920615, 11648337238, 11741987981, 11835870399, 11930007038, 12024373675, 12118957429, 12213772823, 12308804505, 12404081112, 12499577083, 12595324160, 12691304310, 12787488105, 12883919509, 12980572746, 13077437952, 13174529239, 13271839523, 13369370037, 13467137249] + +Built regression model! +Model info: + r^2: 0.9999999998978663 + p-value: 0 + intercept: -3.452552245262723 + slope: 1.4535878302150287 +Fractal dimension: 1.4535878302150287 diff --git a/fractal_dimension/circle_counting_new/output1e8/misc/truncated_icosahedron.txt b/fractal_dimension/circle_counting_new/output1e8/misc/truncated_icosahedron.txt index 8813a5c..17a2b35 100644 --- a/fractal_dimension/circle_counting_new/output1e8/misc/truncated_icosahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e8/misc/truncated_icosahedron.txt @@ -1,2 +1,77 @@ -2377m 3.1768011579988524s -1.6568040850024586 +Counting circles +2% 3181m 46.10688308801036s remaining +3% 2847m 59.73354482499417s remaining +5% 2839m 38.8760882189963s remaining +7% 2682m 3.266314020002028s remaining +8% 2678m 38.644173890003s remaining +10% 2665m 33.90416022899444s remaining +12% 2567m 21.716917567013297s remaining +13% 2486m 33.31184563599527s remaining +15% 2437m 49.169329325988656s remaining +17% 2377m 58.45116302999668s remaining +18% 2341m 30.990928017999977s remaining +20% 2293m 28.271541572001297s remaining +22% 2266m 57.429713279998396s remaining +23% 2208m 58.14010595201398s remaining +25% 2180m 7.256974550997256s remaining +27% 2124m 50.53743959699932s remaining +28% 2079m 29.888496111001587s remaining +30% 2015m 4.9066390590014635s remaining +32% 1971m 52.910497737000696s remaining +33% 1911m 54.53019468199636s remaining +35% 1873m 25.72669445700012s remaining +37% 1828m 38.54472587999771s remaining +38% 1790m 17.43146351199539s remaining +40% 1745m 51.98406955000246s remaining +42% 1691m 50.32765182299772s remaining +43% 1635m 5.227902983999229s remaining +45% 1583m 51.33814052300295s remaining +47% 1529m 59.52541188300529s remaining +48% 1484m 36.33846363800694s remaining +50% 1434m 52.28435842000181s remaining +52% 1391m 23.30719705299998s remaining +53% 1343m 33.0372802339989s remaining +55% 1295m 0.9327175329963211s remaining +57% 1243m 33.414643552998314s remaining +58% 1196m 52.12221827899339s remaining +60% 1147m 21.308119563997025s remaining +62% 1101m 39.7582826190046s remaining +63% 1051m 44.1599598449975s remaining +65% 1006m 41.04846896199888s remaining +67% 957m 46.890735018998384s remaining +68% 910m 36.14657809199707s remaining +70% 860m 27.715474124997854s remaining +72% 814m 6.890103721998457s remaining +73% 765m 4.959188048000215s remaining +75% 719m 35.362646544999734s remaining +77% 671m 31.41111250800168s remaining +78% 625m 27.626978487001907s remaining +80% 577m 20.396706157000153s remaining +82% 529m 3.744250797000859s remaining +83% 479m 34.24433173500074s remaining +85% 431m 34.982807939999475s remaining +87% 382m 38.450952437000524s remaining +88% 335m 13.653747118001775s remaining +90% 287m 29.328623244000482s remaining +92% 240m 1.0650691449991427s remaining +93% 192m 13.71651274100077s remaining +95% 143m 59.04560109100021s remaining +97% 95m 48.7180531390004s remaining +98% 47m 52.605844124000214s remaining + +Took 2869m 14.062566615990363s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[15345176760, 15597740617, 15851945345, 16107748252, 16365199833, 16624259308, 16884900065, 17147150073, 17410999837, 17676438934, 17943446498, 18212057803, 18482240906, 18753998210, 19027336331, 19302263647, 19578735310, 19856761156, 20136331714, 20417471234, 20700125545, 20984319622, 21270064959, 21557358261, 21846173120, 22136507463, 22428336901, 22721672062, 23016558475, 23312947247, 23610819616, 23910159570, 24211026502, 24513366250, 24817200398, 25122501862, 25429267612, 25737544634, 26047302753, 26358505567, 26671163978, 26985278232, 27300869179, 27617904722, 27936378362, 28256318236, 28577667122, 28900488468, 29224706078, 29550370652, 29877474344, 30206016352, 30535958842, 30867348829, 31200165427, 31534366801, 31869966960, 32206992612, 32545416385, 32885227930, 33226416957, 33569072658, 33913079836, 34258480604, 34605257013, 34953420989, 35302968894, 35653912445, 36006228538, 36359945523, 36714974079, 37071404922, 37429187924, 37788310554, 38148780181, 38510639097, 38873841799, 39238405845, 39604298587, 39971519571, 40340095602, 40710008704, 41081270660, 41453882077, 41827834552, 42203108942, 42579704825, 42957560811, 43336813947, 43717377224, 44099262579, 44482454989, 44866982286, 45252840524, 45639971033, 46028429193, 46418188802, 46809202223, 47201528856, 47595134667] + +Built regression model! +Model info: + r^2: 0.9999999999825545 + p-value: 0 + intercept: -5.933463686023906 + slope: 1.6568040850024586 +Fractal dimension: 1.6568040850024586 diff --git a/fractal_dimension/circle_counting_new/output1e8/platonic_solids/cube.txt b/fractal_dimension/circle_counting_new/output1e8/platonic_solids/cube.txt index 628287f..68a4b42 100644 --- a/fractal_dimension/circle_counting_new/output1e8/platonic_solids/cube.txt +++ b/fractal_dimension/circle_counting_new/output1e8/platonic_solids/cube.txt @@ -1,2 +1,25 @@ -112m 11.99433790799958s -1.480248628028886 +Counting circles +13% 110m 26.134992448999583s remaining +25% 94m 58.225154667000425s remaining +38% 79m 13.057680003000314s remaining +50% 63m 24.26460671599989s remaining +63% 47m 33.84340146600016s remaining +75% 31m 42.87405654200006s remaining +88% 15m 51.525477255000055s remaining + +Took 126m 52.83643438299987s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[4612899682, 4680681456, 4748771159, 4817177700, 4885899646, 4954935467, 5024290856, 5093959464, 5163928535, 5234213380, 5304776219, 5375684707, 5446870954, 5518352058, 5590162962, 5662263818, 5734659964, 5807366444, 5880349555, 5953626563, 6027230444, 6101104444, 6175264296, 6249715414, 6324461330, 6399479631, 6474802226, 6550424488, 6626341482, 6702507968, 6778989417, 6855725159, 6932736708, 7010046936, 7087623170, 7165463166, 7243623561, 7322016558, 7400713875, 7479676564, 7558880253, 7638384449, 7718140983, 7798161764, 7878482066, 7959051675, 8039868295, 8121005880, 8202380784, 8283998119, 8365860449, 8448007822, 8530384330, 8613038688, 8695929633, 8779097079, 8862533189, 8946191378, 9030124876, 9114328950, 9198800886, 9283485978, 9368444546, 9453640535, 9539109192, 9624793440, 9710717888, 9796947112, 9883381461, 9970057431, 10057002465, 10144170169, 10231578069, 10319250673, 10407141722, 10495288008, 10583676161, 10672342015, 10761208595, 10850315384, 10939669457, 11029252716, 11119083981, 11209152897, 11299459113, 11390003333, 11480750252, 11571751349, 11662975875, 11754453855, 11846152837, 11938063866, 12030209896, 12122573731, 12215190364, 12308022191, 12401083395, 12494381954, 12587923095, 12681665489] + +Built regression model! +Model info: + r^2: 0.9999999997353075 + p-value: 0 + intercept: -4.003765438810625 + slope: 1.480248628028886 +Fractal dimension: 1.480248628028886 diff --git a/fractal_dimension/circle_counting_new/output1e8/platonic_solids/dodecahedron.txt b/fractal_dimension/circle_counting_new/output1e8/platonic_solids/dodecahedron.txt index b78e057..2543a2d 100644 --- a/fractal_dimension/circle_counting_new/output1e8/platonic_solids/dodecahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e8/platonic_solids/dodecahedron.txt @@ -1,2 +1,37 @@ -517m 20.181874181998865s -1.596244887722567 +Counting circles +5% 566m 26.214656048003235s remaining +10% 537m 35.885100501000124s remaining +15% 515m 57.553856321999774s remaining +20% 489m 52.81756957199832s remaining +25% 461m 22.71609047899983s remaining +30% 432m 5.283788151999033s remaining +35% 402m 7.673634307000611s remaining +40% 371m 55.25144366200038s remaining +45% 341m 23.441192150999996s remaining +50% 310m 44.42497367800024s remaining +55% 279m 54.95511311500013s remaining +60% 249m 1.4104558830003953s remaining +65% 218m 1.9390810490003787s remaining +70% 186m 59.06127509399994s remaining +75% 155m 54.240062221999324s remaining +80% 124m 46.591414636999616s remaining +85% 93m 36.38377645200035s remaining +90% 62m 25.530195752000054s remaining +95% 31m 13.143538844999966s remaining + +Took 624m 34.82265071399888s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[9498015364, 9648569925, 9800009561, 9952314844, 10105507287, 10259578988, 10414518733, 10570314356, 10726957215, 10884486191, 11042857301, 11202117669, 11362202789, 11523105189, 11684857862, 11847467236, 12010902580, 12175182922, 12340279883, 12506233916, 12673026794, 12840641802, 13009041235, 13178271919, 13348320179, 13519177371, 13690837610, 13863317105, 14036587361, 14210670711, 14385567661, 14561252880, 14737740925, 14915024443, 15093089846, 15271955848, 15451587451, 15632020288, 15813221290, 15995212993, 16177963280, 16361510188, 16545821908, 16730914381, 16916789383, 17103385278, 17290772078, 17478909089, 17667787433, 17857441375, 18047860804, 18239007440, 18430927373, 18623582874, 18816991317, 19011152199, 19206057535, 19401705718, 19598089226, 19795185641, 19993042851, 20191631612, 20390951625, 20591007237, 20791761141, 20993244223, 21195497216, 21398438951, 21602125686, 21806529243, 22011659495, 22217493694, 22424020347, 22631291400, 22839259403, 23047928557, 23257339012, 23467472859, 23678314941, 23889818566, 24102034497, 24314920321, 24528515895, 24742826241, 24957820042, 25173505876, 25389896882, 25606943631, 25824723318, 26043190383, 26262334615, 26482182350, 26702656591, 26923836522, 27145721611, 27368260324, 27591475062, 27815383962, 28039976900, 28265247760] + +Built regression model! +Model info: + r^2: 0.9999999999736409 + p-value: 0 + intercept: -5.339020281557396 + slope: 1.596244887722567 +Fractal dimension: 1.596244887722567 diff --git a/fractal_dimension/circle_counting_new/output1e8/platonic_solids/icosahedron.txt b/fractal_dimension/circle_counting_new/output1e8/platonic_solids/icosahedron.txt index 4ffd8cb..50a7232 100644 --- a/fractal_dimension/circle_counting_new/output1e8/platonic_solids/icosahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e8/platonic_solids/icosahedron.txt @@ -1,2 +1,29 @@ -128m 58.23345863099985s -1.3728914526804765 +Counting circles +8% 135m 29.97905121599979s remaining +17% 123m 38.8073135249997s remaining +25% 111m 6.598862568000186s remaining +33% 98m 40.9039899899999s remaining +42% 86m 18.774012521999794s remaining +50% 73m 58.20352873400043s remaining +58% 61m 37.617642153999896s remaining +67% 49m 17.52665286299998s remaining +75% 37m 2.1144091950000075s remaining +83% 24m 42.49637586499989s remaining +92% 12m 21.422587399999998s remaining + +Took 148m 18.378086515000177s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[1626017344, 1648164616, 1670400977, 1692708814, 1715108654, 1737582580, 1760130507, 1782763415, 1805468461, 1828258066, 1851118561, 1874058994, 1897072340, 1920161602, 1943314417, 1966553397, 1989878551, 2013273423, 2036742241, 2060284399, 2083893653, 2107579358, 2131334367, 2155165535, 2179064105, 2203038695, 2227081782, 2251193082, 2275381921, 2299632059, 2323953018, 2348352722, 2372809547, 2397335438, 2421947605, 2446599084, 2471332615, 2496121398, 2520973987, 2545910850, 2570914084, 2595983438, 2621116996, 2646304426, 2671569089, 2696888175, 2722268471, 2747725212, 2773253133, 2798831401, 2824483758, 2850188361, 2875955592, 2901789446, 2927678078, 2953633511, 2979659415, 3005750484, 3031904213, 3058110782, 3084379018, 3110698439, 3137088385, 3163532553, 3190043341, 3216609574, 3243237859, 3269929339, 3296678514, 3323491687, 3350369039, 3377293328, 3404279965, 3431315708, 3458418352, 3485585413, 3512787581, 3540060227, 3567388772, 3594779564, 3622226636, 3649738273, 3677294776, 3704910015, 3732582146, 3760300967, 3788082442, 3815922339, 3843813665, 3871762572, 3899769384, 3927827309, 3955943219, 3984114622, 4012328179, 4040607552, 4068934499, 4097315243, 4125758328, 4154250383] + +Built regression model! +Model info: + r^2: 0.9999999954645826 + p-value: 0 + intercept: -3.1421862353159433 + slope: 1.3728914526804765 +Fractal dimension: 1.3728914526804765 diff --git a/fractal_dimension/circle_counting_new/output1e8/platonic_solids/octahedron.txt b/fractal_dimension/circle_counting_new/output1e8/platonic_solids/octahedron.txt index e38197a..a245b76 100644 --- a/fractal_dimension/circle_counting_new/output1e8/platonic_solids/octahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e8/platonic_solids/octahedron.txt @@ -1,2 +1,23 @@ -37m 41.52574166800014s -1.3353239791599663 +Counting circles +17% 37m 43.44722271499995s remaining +33% 30m 11.017337797999971s remaining +50% 22m 38.24812460399994s remaining +67% 15m 5.447245819000045s remaining +83% 7m 32.72032927599997s remaining + +Took 45m 16.274458715000037s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[1257266934, 1273917812, 1290632180, 1307396701, 1324215728, 1341075092, 1357986714, 1374966125, 1391980353, 1409052984, 1426179761, 1443364474, 1460598417, 1477886288, 1495218758, 1512604698, 1530055458, 1547544521, 1565085852, 1582676034, 1600307432, 1617996625, 1635726473, 1653503992, 1671321583, 1689207302, 1707137636, 1725102640, 1743114064, 1761187853, 1779305756, 1797465459, 1815660341, 1833912263, 1852215065, 1870564001, 1888956038, 1907395537, 1925871032, 1944393764, 1962971687, 1981600416, 2000249759, 2018949331, 2037705952, 2056481400, 2075305970, 2094177727, 2113083801, 2132028267, 2151018786, 2170057046, 2189131629, 2208245833, 2227417329, 2246632706, 2265889652, 2285180360, 2304514265, 2323894055, 2343304408, 2362759108, 2382253805, 2401797518, 2421373118, 2440997684, 2460656956, 2480339046, 2500071087, 2519835119, 2539642526, 2559499917, 2579376946, 2599309390, 2619284740, 2639300862, 2659359427, 2679448157, 2699569664, 2719727697, 2739933691, 2760175021, 2780451658, 2800777655, 2821127208, 2841514132, 2861938784, 2882387532, 2902876352, 2923404125, 2943958718, 2964563876, 2985203698, 3005880455, 3026589951, 3047328566, 3068106373, 3088925447, 3109780963, 3130654357] + +Built regression model! +Model info: + r^2: 0.9999999980363747 + p-value: 0 + intercept: -2.7330844252770383 + slope: 1.3353239791599663 +Fractal dimension: 1.3353239791599663 diff --git a/fractal_dimension/circle_counting_new/output1e8/prisms/decagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e8/prisms/decagonal_prism.txt index dc3fab5..23222ae 100644 --- a/fractal_dimension/circle_counting_new/output1e8/prisms/decagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e8/prisms/decagonal_prism.txt @@ -1,2 +1,37 @@ -433m 49.746128128001146s -1.5609649635057734 +Counting circles +5% 510m 25.677375057999598s remaining +10% 472m 50.99533470299866s remaining +15% 434m 27.191808792998927s remaining +20% 398m 0.04636249599934672s remaining +25% 365m 25.807654853000713s remaining +30% 337m 20.379834486000618s remaining +35% 312m 48.602844525001274s remaining +40% 290m 43.85995682700013s remaining +45% 269m 30.48919586699958s remaining +50% 247m 42.99964967699998s remaining +55% 224m 36.736745845999394s remaining +60% 200m 5.544291522999629s remaining +65% 174m 35.332307032000244s remaining +70% 148m 44.631336901000395s remaining +75% 123m 7.287916932999906s remaining +80% 98m 0.698433360999843s remaining +85% 73m 23.52299128100003s remaining +90% 49m 1.6138897239998187s remaining +95% 24m 37.5050370240001s remaining + +Took 495m 12.362099879999732s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[8154473918, 8280837697, 8407913976, 8535682357, 8664125561, 8793278925, 8923118771, 9053658840, 9184855130, 9316706820, 9449239350, 9582453567, 9716326028, 9850883963, 9986078360, 10121948558, 10258486894, 10395688452, 10533524443, 10672005173, 10811153334, 10950947194, 11091383683, 11232454228, 11374163182, 11516511868, 11659515308, 11803145815, 11947415091, 12092288006, 12237804157, 12383946304, 12530692919, 12678072870, 12826061794, 12974680771, 13123926717, 13273760910, 13424225234, 13575266111, 13726935462, 13879196489, 14032048415, 14185523198, 14339605032, 14494272215, 14649536197, 14805407473, 14961858918, 15118927297, 15276556235, 15434761425, 15593576222, 15752950560, 15912889127, 16073437185, 16234562066, 16396272117, 16558556422, 16721399774, 16884811485, 17048801177, 17213390513, 17378544854, 17544229038, 17710476793, 17877281345, 18044665375, 18212620919, 18381110309, 18550176261, 18719792049, 18889972178, 19060695148, 19231931644, 19403740877, 19576090204, 19748965773, 19922416404, 20096430949, 20271008924, 20446090442, 20621720201, 20797940779, 20974653480, 21151879859, 21329665942, 21507971491, 21686797254, 21866173234, 22046087781, 22226500648, 22407461050, 22588997774, 22771003002, 22953542564, 23136630042, 23320194513, 23504301667, 23688927633] + +Built regression model! +Model info: + r^2: 0.9999999999450759 + p-value: 0 + intercept: -4.865763377101558 + slope: 1.5609649635057734 +Fractal dimension: 1.5609649635057734 diff --git a/fractal_dimension/circle_counting_new/output1e8/prisms/heptagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e8/prisms/heptagonal_prism.txt index 3bbaaef..e3f93b8 100644 --- a/fractal_dimension/circle_counting_new/output1e8/prisms/heptagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e8/prisms/heptagonal_prism.txt @@ -1,2 +1,31 @@ -282m 14.931633257998328s -1.5431020757008507 +Counting circles +7% 301m 13.080571441998472s remaining +14% 277m 5.4929277900009765s remaining +21% 253m 15.444786370999282s remaining +29% 229m 50.45359758000086s remaining +36% 206m 52.927189523999914s remaining +43% 184m 6.468930663999345s remaining +50% 161m 18.71638314499978s remaining +57% 138m 20.955620573000488s remaining +64% 115m 15.177717004999977s remaining +71% 92m 7.7494641129997035s remaining +79% 69m 5.447740679000162s remaining +86% 46m 4.661857220000002s remaining +93% 23m 3.549351422999962s remaining + +Took 323m 1.1981368759988982s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[7246451217, 7357472228, 7469071564, 7581259308, 7694019898, 7807373626, 7921318501, 8035838257, 8150937460, 8266624826, 8382871720, 8499684424, 8617077439, 8735029757, 8853549255, 8972647624, 9092279580, 9212471971, 9333221237, 9454555408, 9576413134, 9698819121, 9821773480, 9945253356, 10069287086, 10193849307, 10318935811, 10444587984, 10570764629, 10697482327, 10824752184, 10952525882, 11080831791, 11209652333, 11338996006, 11468849844, 11599241235, 11730153363, 11861560125, 11993481638, 12125931927, 12258890591, 12392351931, 12526342563, 12660835888, 12795841337, 12931354472, 13067362907, 13203852292, 13340844485, 13478319516, 13616281923, 13754748528, 13893723316, 14033190968, 14173147702, 14313585702, 14454516520, 14595931743, 14737836911, 14880217869, 15023094959, 15166433941, 15310242045, 15454537220, 15599301796, 15744535944, 15890245696, 16036451300, 16183101466, 16330218462, 16477824251, 16625900588, 16774423789, 16923423160, 17072871011, 17222791322, 17373177343, 17524018318, 17675298208, 17827051673, 17979252440, 18131913298, 18285043078, 18438637388, 18592689967, 18747170709, 18902089779, 19057470650, 19213292359, 19369557341, 19526258560, 19683412378, 19841017779, 19999043642, 20157512732, 20316412383, 20475766781, 20635553647, 20795780823] + +Built regression model! +Model info: + r^2: 0.9999999999697307 + p-value: 0 + intercept: -4.666973596724958 + slope: 1.5431020757008507 +Fractal dimension: 1.5431020757008507 diff --git a/fractal_dimension/circle_counting_new/output1e8/prisms/hexagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e8/prisms/hexagonal_prism.txt index 6251988..e615975 100644 --- a/fractal_dimension/circle_counting_new/output1e8/prisms/hexagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e8/prisms/hexagonal_prism.txt @@ -1,2 +1,29 @@ -227m 46.29006053900048s -1.5315686203712573 +Counting circles +8% 251m 23.086344699999245s remaining +17% 228m 23.302780260000873s remaining +25% 205m 28.97917937300008s remaining +33% 182m 38.94809205599995s remaining +42% 160m 23.368391601999974s remaining +50% 139m 2.6342954770007054s remaining +58% 116m 35.750386106000406s remaining +67% 93m 18.06190751699978s remaining +75% 69m 55.8471885580002s remaining +83% 46m 32.06091704900018s remaining +92% 23m 14.0753338909999s remaining + +Took 278m 7.054251074001513s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[6711334409, 6813355065, 6915935025, 7019042516, 7122686141, 7226823326, 7331493910, 7436696876, 7542408315, 7648646427, 7755396370, 7862646691, 7970424925, 8078708285, 8187501268, 8296783894, 8406591676, 8516884645, 8627691455, 8738971141, 8850740171, 8963020779, 9075804804, 9189045624, 9302800039, 9417041727, 9531757007, 9646962837, 9762655830, 9878776498, 9995415099, 10112530237, 10230072163, 10348110052, 10466601198, 10585573314, 10705008190, 10824928241, 10945279021, 11066107246, 11187402166, 11309150373, 11431347526, 11554004555, 11677110293, 11800664805, 11924681761, 12049139785, 12174054539, 12299405072, 12425203689, 12551462542, 12678146086, 12805278184, 12932851350, 13060852891, 13189318402, 13318211205, 13447521691, 13577258304, 13707425186, 13838027213, 13969052288, 14100528483, 14232423025, 14364753746, 14497525944, 14630676392, 14764263461, 14898293051, 15032748300, 15167610029, 15302877286, 15438571768, 15574679536, 15711194972, 15848128546, 15985465114, 16123223464, 16261387565, 16399962063, 16538951874, 16678320863, 16818118318, 16958315274, 17098899023, 17239882087, 17381281732, 17523073278, 17665272866, 17807861150, 17950814687, 18094192609, 18237986525, 18382174345, 18526769443, 18671739029, 18817117044, 18962876123, 19109029441] + +Built regression model! +Model info: + r^2: 0.999999999925632 + p-value: 0 + intercept: -4.539112506390822 + slope: 1.5315686203712573 +Fractal dimension: 1.5315686203712573 diff --git a/fractal_dimension/circle_counting_new/output1e8/prisms/nonagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e8/prisms/nonagonal_prism.txt index 7fa7583..4bcad0a 100644 --- a/fractal_dimension/circle_counting_new/output1e8/prisms/nonagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e8/prisms/nonagonal_prism.txt @@ -1,2 +1,35 @@ -384m 7.246243605000927s -1.5566756784674693 +Counting circles +6% 455m 35.83874495299824s remaining +11% 423m 19.771900888001255s remaining +17% 389m 8.241506005000701s remaining +22% 357m 12.135699782000302s remaining +28% 328m 12.17865414499829s remaining +33% 302m 0.8209409019982559s remaining +39% 277m 46.31756168499851s remaining +44% 254m 15.0019430680004s remaining +50% 230m 24.921610483999757s remaining +56% 205m 42.96177696099949s remaining +61% 180m 6.837042639999709s remaining +67% 154m 3.5705010109995783s remaining +72% 127m 54.59181524900032s remaining +78% 101m 58.88552216399967s remaining +83% 76m 22.606469655000183s remaining +89% 50m 57.09825668199983s remaining +94% 25m 32.79244366100011s remaining + +Took 461m 35.572168202001194s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[7924846429, 8047321405, 8170485448, 8294303633, 8418777046, 8543909986, 8669696262, 8796143797, 8923268190, 9051066676, 9179471312, 9308527085, 9438211347, 9568554807, 9699545730, 9831156049, 9963388996, 10096271140, 10229762289, 10363868228, 10498613655, 10633996895, 10769995706, 10906588143, 11043820661, 11181645141, 11320091561, 11459156404, 11598823623, 11739102365, 11879966349, 12021451060, 12163529825, 12306186588, 12449440494, 12593273172, 12737724013, 12882732009, 13028362695, 13174575494, 13321352744, 13468712591, 13616648537, 13765177553, 13914302095, 14063941089, 14214181243, 14365005782, 14516391519, 14668340710, 14820851112, 14973932528, 15127563442, 15281750220, 15436492703, 15591791501, 15747650697, 15904041329, 16061011276, 16218528283, 16376596145, 16535210684, 16694358298, 16854085284, 17014335668, 17175117676, 17336457875, 17498311112, 17660735530, 17823694347, 17987145515, 18151159027, 18315686954, 18480794962, 18646381727, 18812518543, 18979183106, 19146371094, 19314057310, 19482297912, 19651049699, 19820337499, 19990103576, 20160411184, 20331221408, 20502582008, 20674427017, 20846765262, 21019624402, 21193028492, 21366890378, 21541271921, 21716163001, 21891571612, 22067479044, 22243883968, 22420798752, 22598187617, 22776127033, 22954536912] + +Built regression model! +Model info: + r^2: 0.9999999999606579 + p-value: 0 + intercept: -4.818242677700432 + slope: 1.5566756784674693 +Fractal dimension: 1.5566756784674693 diff --git a/fractal_dimension/circle_counting_new/output1e8/prisms/octagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e8/prisms/octagonal_prism.txt index e01624d..f1554cc 100644 --- a/fractal_dimension/circle_counting_new/output1e8/prisms/octagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e8/prisms/octagonal_prism.txt @@ -1,2 +1,33 @@ -332m 32.06532452399915s -1.5509861502454962 +Counting circles +6% 364m 10.392953610000404s remaining +13% 336m 46.28262521400029s remaining +19% 309m 47.66958742600036s remaining +25% 283m 59.632213935001346s remaining +31% 259m 35.65816017399993s remaining +38% 236m 15.467726921000576s remaining +44% 213m 22.931773459000397s remaining +50% 190m 23.011022605000107s remaining +56% 166m 57.29294514799949s remaining +63% 143m 6.1972863909995795s remaining +69% 119m 2.851518878999741s remaining +75% 95m 1.8038421399996878s remaining +81% 71m 13.812572269999691s remaining +88% 47m 31.785420843999873s remaining +94% 23m 48.24154626599989s remaining + +Took 381m 41.393955860999995s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[7632379720, 7749920800, 7868084163, 7986888034, 8106295254, 8226335379, 8346999210, 8468294260, 8590209925, 8712733278, 8835889604, 8959647022, 9084041743, 9209018895, 9334603984, 9460812930, 9587597416, 9714972248, 9842974846, 9971557894, 10100725951, 10230481815, 10360826357, 10491764383, 10623298976, 10755406728, 10888093387, 11021370387, 11155209604, 11289624171, 11424599435, 11560157776, 11696287363, 11832955072, 11970184001, 12107979583, 12246344991, 12385268941, 12524740450, 12664792560, 12805372035, 12946526323, 13088193193, 13230427833, 13373204511, 13516533460, 13660397100, 13804791653, 13949717965, 14095199613, 14241193524, 14387737970, 14534808426, 14682412775, 14830524103, 14979196658, 15128383526, 15278093518, 15428320546, 15579060343, 15730335421, 15882135637, 16034472410, 16187310075, 16340638610, 16494514652, 16648889015, 16803784719, 16959175152, 17115062785, 17271430269, 17428346322, 17585775632, 17743689246, 17902094117, 18060996268, 18220411288, 18380321696, 18540740368, 18701647461, 18863029327, 19024915407, 19187298221, 19350154467, 19513516644, 19677350339, 19841651051, 20006460969, 20171785366, 20337559310, 20503828743, 20670557369, 20837783160, 21005475556, 21173666275, 21342311005, 21511423269, 21681020206, 21851093345, 22021611110] + +Built regression model! +Model info: + r^2: 0.9999999999305936 + p-value: 0 + intercept: -4.754931507955746 + slope: 1.5509861502454962 +Fractal dimension: 1.5509861502454962 diff --git a/fractal_dimension/circle_counting_new/output1e8/prisms/pentagonal_prism.txt b/fractal_dimension/circle_counting_new/output1e8/prisms/pentagonal_prism.txt index 1e7614e..2d53383 100644 --- a/fractal_dimension/circle_counting_new/output1e8/prisms/pentagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e8/prisms/pentagonal_prism.txt @@ -1,2 +1,27 @@ -172m 24.172812966000492s -1.5132427373402981 +Counting circles +10% 187m 28.802557569000783s remaining +20% 166m 34.262624024000615s remaining +30% 145m 43.28139106799972s remaining +40% 124m 52.900639567000326s remaining +50% 104m 3.4255211990002863s remaining +60% 83m 15.555745272000422s remaining +70% 62m 27.632784811999954s remaining +80% 41m 38.28549255899998s remaining +90% 20m 49.297842820999904s remaining + +Took 208m 15.342252923999695s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[5915287318, 6004144693, 6093429272, 6183151946, 6273334214, 6363965676, 6455053675, 6546570464, 6638531297, 6730917835, 6823731361, 6916983497, 7010645847, 7104737653, 7199256992, 7294211193, 7389601883, 7485382990, 7581585277, 7678206212, 7775242402, 7872674809, 7970538394, 8068779629, 8167430843, 8266511759, 8365981186, 8465859226, 8566153449, 8666820735, 8767917937, 8869390089, 8971260498, 9073529714, 9176180163, 9279238873, 9382677110, 9486521567, 9590729832, 9695332036, 9800321831, 9905711165, 10011471922, 10117603376, 10224104590, 10330992712, 10438262397, 10545911901, 10653918368, 10762288823, 10871051880, 10980184502, 11089687412, 11199561689, 11309795320, 11420411363, 11531376831, 11642726832, 11754417471, 11866476320, 11978869099, 12091621887, 12204737475, 12318197476, 12432029557, 12546218754, 12660760098, 12775668879, 12890908001, 13006513159, 13122475271, 13238792132, 13355442716, 13472440905, 13589791567, 13707510229, 13825530318, 13943904905, 14062597703, 14181643995, 14301054639, 14420788702, 14540853965, 14661253748, 14781996396, 14903085685, 15024497602, 15146232112, 15268313504, 15390721350, 15513449985, 15636503633, 15759882973, 15883611202, 16007657448, 16132064616, 16256789178, 16381842408, 16507203529, 16632887565] + +Built regression model! +Model info: + r^2: 0.9999999999196819 + p-value: 0 + intercept: -4.340312256734414 + slope: 1.5132427373402981 +Fractal dimension: 1.5132427373402981 diff --git a/fractal_dimension/circle_counting_new/output1e8/prisms/triangular_prism.txt b/fractal_dimension/circle_counting_new/output1e8/prisms/triangular_prism.txt index a2650c3..86d551a 100644 --- a/fractal_dimension/circle_counting_new/output1e8/prisms/triangular_prism.txt +++ b/fractal_dimension/circle_counting_new/output1e8/prisms/triangular_prism.txt @@ -1,2 +1,23 @@ -44m 30.46715709199998s -1.4066478732545797 +Counting circles +17% 42m 4.4708282299998245s remaining +33% 33m 40.189043657999946s remaining +50% 25m 15.385059470999977s remaining +67% 16m 50.24947088900001s remaining +83% 8m 25.089722290999987s remaining + +Took 50m 30.39321083699997s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[2335651315, 2368253091, 2400963737, 2433799330, 2466768927, 2499874114, 2533103618, 2566461804, 2599953841, 2633568375, 2667309735, 2701179978, 2735183950, 2769301600, 2803535618, 2837891175, 2872368228, 2906960611, 2941658210, 2976491867, 3011461045, 3046521213, 3081706689, 3117012826, 3152424654, 3187947432, 3223588726, 3259362834, 3295227567, 3331226348, 3367324335, 3403535026, 3439849329, 3476287873, 3512829446, 3549499389, 3586265591, 3623136927, 3660097313, 3697196930, 3734406289, 3771697996, 3809107272, 3846631562, 3884243967, 3921971853, 3959823146, 3997774892, 4035841924, 4073994205, 4112256725, 4150610177, 4189060911, 4227630145, 4266319063, 4305112937, 4343966865, 4382941969, 4422009463, 4461186298, 4500464402, 4539834065, 4579296833, 4618872297, 4658538784, 4698307588, 4738148124, 4778112384, 4818165833, 4858315871, 4898584667, 4938925571, 4979368432, 5019894109, 5060536015, 5101241894, 5142061781, 5182963079, 5223964856, 5265054460, 5306250392, 5347542109, 5388914731, 5430378435, 5471942371, 5513591087, 5555334808, 5597142896, 5639063521, 5681083823, 5723183620, 5765385038, 5807669059, 5850027685, 5892496731, 5935040732, 5977697055, 6020412065, 6063230595, 6106134834] + +Built regression model! +Model info: + r^2: 0.9999999995933605 + p-value: 0 + intercept: -3.3788494250021905 + slope: 1.4066478732545797 +Fractal dimension: 1.4066478732545797 diff --git a/fractal_dimension/circle_counting_new/output1e8/pyramids/decagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e8/pyramids/decagonal_pyramid.txt index a102381..068e139 100644 --- a/fractal_dimension/circle_counting_new/output1e8/pyramids/decagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e8/pyramids/decagonal_pyramid.txt @@ -1,2 +1,28 @@ -20m 23.6343834029999s -1.3275061548030873 +Counting circles +9% 111m 46.204234388999794s remaining +18% 56m 24.10292169100012s remaining +27% 37m 8.2719398979998s remaining +36% 26m 49.80630480200011s remaining +45% 20m 3.8719563610000023s remaining +55% 15m 3.44172003999995s remaining +64% 11m 4.024809641000047s remaining +73% 7m 44.08659766400001s remaining +82% 4m 51.620677392000005s remaining +91% 2m 18.81392199199999s remaining + +Took 24m 26.557976057999895s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[490536980, 496990767, 503473137, 509971031, 516492270, 523031855, 529594557, 536173288, 542776391, 549395826, 556035774, 562698791, 569376866, 576081232, 582802705, 589537009, 596290361, 603064340, 609858099, 616672476, 623505424, 630354746, 637224950, 644112036, 651010981, 657931361, 664870546, 671825874, 678803349, 685796801, 692807293, 699835345, 706883001, 713946230, 721025553, 728129093, 735246212, 742379295, 749527403, 756694677, 763876508, 771073670, 778291462, 785526300, 792778450, 800046177, 807327523, 814628738, 821941295, 829269073, 836617163, 843978919, 851360904, 858755873, 866167526, 873594130, 881034855, 888492073, 895963448, 903453644, 910958856, 918475128, 926015981, 933560208, 941121391, 948703264, 956297537, 963904647, 971531157, 979166201, 986817111, 994481879, 1002163202, 1009859502, 1017573498, 1025302449, 1033041373, 1040802454, 1048572968, 1056362326, 1064160871, 1071974204, 1079798914, 1087642632, 1095501890, 1103363936, 1111246722, 1119139248, 1127048804, 1134976345, 1142912911, 1150863778, 1158828274, 1166802080, 1174795360, 1182802851, 1190816161, 1198851263, 1206896226, 1214952686] + +Built regression model! +Model info: + r^2: 0.9999999992405626 + p-value: 0 + intercept: -3.5356048290391016 + slope: 1.3275061548030873 +Fractal dimension: 1.3275061548030873 diff --git a/fractal_dimension/circle_counting_new/output1e8/pyramids/heptagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e8/pyramids/heptagonal_pyramid.txt index 72b2e45..bcd3f28 100644 --- a/fractal_dimension/circle_counting_new/output1e8/pyramids/heptagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e8/pyramids/heptagonal_pyramid.txt @@ -1,2 +1,25 @@ -19m 15.643748352000102s -1.3354264765044448 +Counting circles +13% 69m 24.113548364000053s remaining +25% 35m 26.58628018399986s remaining +38% 22m 51.3756355380001s remaining +50% 15m 36.81468227200003s remaining +63% 10m 30.509320726000055s remaining +75% 6m 28.277366019s remaining +88% 3m 2.686625657999997s remaining + +Took 23m 12.840576284000008s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[648186486, 656768672, 665382841, 674021436, 682689488, 691387365, 700109250, 708862774, 717643335, 726454109, 735285794, 744147533, 753026640, 761941687, 770878987, 779844318, 788835347, 797849169, 806895092, 815963895, 825052431, 834168399, 843313254, 852481347, 861680421, 870895279, 880138849, 889409760, 898697888, 908013369, 917352232, 926720969, 936104684, 945516231, 954950328, 964403904, 973880270, 983387046, 992919348, 1002470373, 1012043759, 1021640480, 1031265429, 1040912886, 1050575126, 1060264400, 1069969887, 1079704363, 1089455835, 1099230039, 1109028126, 1118845745, 1128678057, 1138534963, 1148421296, 1158321912, 1168248430, 1178196699, 1188163190, 1198155121, 1208165746, 1218198625, 1228252162, 1238332804, 1248425624, 1258541641, 1268678253, 1278829650, 1289005395, 1299201064, 1309420521, 1319659928, 1329915726, 1340184456, 1350476667, 1360796761, 1371130627, 1381489064, 1391865451, 1402257044, 1412668716, 1423101239, 1433551834, 1444020735, 1454514614, 1465023142, 1475554068, 1486097576, 1496664699, 1507240087, 1517843422, 1528469036, 1539104840, 1549763306, 1560440652, 1571136027, 1581851971, 1592584184, 1603332090, 1614100559] + +Built regression model! +Model info: + r^2: 0.9999999997407353 + p-value: 0 + intercept: -3.397417309296287 + slope: 1.3354264765044448 +Fractal dimension: 1.3354264765044448 diff --git a/fractal_dimension/circle_counting_new/output1e8/pyramids/hexagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e8/pyramids/hexagonal_pyramid.txt index 5299356..23d5bab 100644 --- a/fractal_dimension/circle_counting_new/output1e8/pyramids/hexagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e8/pyramids/hexagonal_pyramid.txt @@ -1,2 +1,24 @@ -19m 39.29746457700003s -1.3382178434739516 +Counting circles +14% 57m 59.378579142000035s remaining +29% 29m 59.92077057200004s remaining +43% 19m 6.496269679000079s remaining +57% 12m 29.789649974999975s remaining +71% 7m 35.93394935499998s remaining +86% 3m 33.32010761199999s remaining + +Took 23m 40.13580468700002s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[757392438, 767443199, 777529086, 787647548, 797806030, 807994084, 818208661, 828458932, 838736103, 849047298, 859386175, 869764781, 880169927, 890605794, 901075555, 911577100, 922105257, 932669118, 943260757, 953884589, 964536923, 975220263, 985934887, 996677104, 1007449390, 1018247123, 1029072917, 1039931974, 1050819018, 1061740159, 1072683900, 1083655669, 1094656457, 1105684058, 1116741084, 1127831506, 1138941124, 1150081482, 1161244723, 1172439530, 1183658077, 1194906050, 1206182484, 1217484546, 1228813332, 1240164524, 1251545938, 1262950809, 1274384507, 1285841125, 1297327674, 1308837145, 1320370877, 1331930163, 1343518562, 1355130919, 1366773927, 1378437360, 1390124564, 1401835541, 1413565669, 1425327436, 1437114853, 1448928535, 1460763421, 1472624601, 1484506922, 1496413071, 1508348343, 1520303738, 1532286671, 1544287734, 1556313988, 1568361985, 1580435204, 1592532015, 1604648381, 1616790644, 1628962512, 1641151931, 1653366358, 1665595732, 1677853357, 1690131916, 1702437276, 1714760307, 1727108007, 1739482730, 1751872953, 1764282772, 1776717601, 1789176475, 1801659968, 1814166770, 1826688095, 1839240808, 1851810324, 1864401285, 1877013581, 1889646651] + +Built regression model! +Model info: + r^2: 0.9999999996475282 + p-value: 0 + intercept: -3.2912259698446142 + slope: 1.3382178434739516 +Fractal dimension: 1.3382178434739516 diff --git a/fractal_dimension/circle_counting_new/output1e8/pyramids/nonagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e8/pyramids/nonagonal_pyramid.txt index 0139c91..22556e2 100644 --- a/fractal_dimension/circle_counting_new/output1e8/pyramids/nonagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e8/pyramids/nonagonal_pyramid.txt @@ -1,2 +1,27 @@ -19m 44.121946797999954s -1.3298690074645068 +Counting circles +10% 96m 37.4748931969998s remaining +20% 48m 49.004986616000224s remaining +30% 31m 57.37160480300008s remaining +40% 22m 47.51594162099991s remaining +50% 16m 41.029800886999965s remaining +60% 12m 6.052835028000004s remaining +70% 8m 23.71418582299998s remaining +80% 5m 15.117683874000022s remaining +90% 2m 29.527310476999986s remaining + +Took 23m 52.23441856199997s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[526776718, 533729991, 540699821, 547688707, 554703259, 561735451, 568794958, 575874250, 582979145, 590095857, 597238606, 604403104, 611585421, 618795261, 626023560, 633274317, 640544116, 647835970, 655148984, 662478348, 669832463, 677208546, 684599740, 692010092, 699445921, 706897359, 714367312, 721857024, 729361015, 736892476, 744440505, 752005170, 759588056, 767192958, 774818828, 782461433, 790125199, 797804914, 805501559, 813222265, 820948887, 828702298, 836474554, 844262417, 852068692, 859893460, 867734376, 875594792, 883476884, 891372085, 899274825, 907209322, 915153032, 923112139, 931091759, 939083282, 947095985, 955124646, 963174972, 971237917, 979317912, 987420347, 995531639, 1003664950, 1011817273, 1019977342, 1028157264, 1036354025, 1044567913, 1052794041, 1061041838, 1069301275, 1077576286, 1085867469, 1094176184, 1102498348, 1110840270, 1119186839, 1127560434, 1135945118, 1144343926, 1152765774, 1161198789, 1169636653, 1178097865, 1186571229, 1195057428, 1203561117, 1212082052, 1220620531, 1229174945, 1237735819, 1246315294, 1254908235, 1263517703, 1272143518, 1280786843, 1289438935, 1298107773, 1306791992] + +Built regression model! +Model info: + r^2: 0.9999999993401857 + p-value: 0 + intercept: -3.506251649932274 + slope: 1.3298690074645068 +Fractal dimension: 1.3298690074645068 diff --git a/fractal_dimension/circle_counting_new/output1e8/pyramids/octagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e8/pyramids/octagonal_pyramid.txt index 35d48a0..863dca2 100644 --- a/fractal_dimension/circle_counting_new/output1e8/pyramids/octagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e8/pyramids/octagonal_pyramid.txt @@ -1,2 +1,26 @@ -19m 22.429840412999965s -1.3324966899964696 +Counting circles +11% 82m 14.274642768000376s remaining +22% 41m 42.014948730000015s remaining +33% 27m 6.955253189999894s remaining +44% 19m 0.2940483170000334s remaining +56% 13m 28.577505074999976s remaining +67% 9m 14.316565052999977s remaining +78% 5m 44.57293641299998s remaining +89% 2m 42.88855857600001s remaining + +Took 23m 20.510345571000016s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[576573697, 584191141, 591833923, 599507670, 607202209, 614916343, 622660582, 630429228, 638221241, 646035754, 653872993, 661728919, 669611590, 677520298, 685451208, 693401500, 701378325, 709377008, 717400946, 725438012, 733504648, 741593744, 749708687, 757843112, 765994260, 774175578, 782374190, 790590146, 798831536, 807093828, 815375926, 823684593, 832010676, 840355058, 848722261, 857107995, 865514390, 873938427, 882388994, 890856927, 899346821, 907856016, 916384391, 924939697, 933511733, 942095308, 950702344, 959336425, 967982242, 976646259, 985333511, 994039931, 1002765159, 1011506470, 1020270208, 1029054385, 1037849482, 1046666298, 1055498959, 1064353920, 1073233811, 1082125326, 1091031791, 1099957336, 1108900837, 1117865487, 1126836447, 1135835547, 1144856680, 1153902678, 1162956635, 1172020462, 1181110495, 1190217723, 1199337658, 1208481051, 1217640209, 1226813388, 1236009227, 1245217907, 1254444817, 1263684474, 1272943437, 1282220817, 1291517527, 1300827049, 1310150734, 1319501583, 1328863404, 1338241496, 1347636550, 1357044816, 1366473151, 1375919134, 1385374825, 1394854774, 1404345910, 1413851187, 1423372689, 1432911950] + +Built regression model! +Model info: + r^2: 0.9999999996534165 + p-value: 0 + intercept: -3.4625262453372194 + slope: 1.3324966899964696 +Fractal dimension: 1.3324966899964696 diff --git a/fractal_dimension/circle_counting_new/output1e8/pyramids/pentagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output1e8/pyramids/pentagonal_pyramid.txt index 79ccd50..74769f7 100644 --- a/fractal_dimension/circle_counting_new/output1e8/pyramids/pentagonal_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e8/pyramids/pentagonal_pyramid.txt @@ -1,2 +1,23 @@ -20m 41.136618434999946s -1.339656404847211 +Counting circles +17% 47m 4.130238334999831s remaining +33% 24m 58.877357489999895s remaining +50% 15m 33.911983658000054s remaining +67% 9m 19.18752483000003s remaining +83% 4m 20.572502746999987s remaining + +Took 24m 47.523998484s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[936684164, 949133073, 961620709, 974149760, 986715351, 999323385, 1011970252, 1024665099, 1037398406, 1050170482, 1062982868, 1075835713, 1088719142, 1101649402, 1114608997, 1127604241, 1140647287, 1153729243, 1166837518, 1179994974, 1193190888, 1206413767, 1219678949, 1232981989, 1246326819, 1259700164, 1273115440, 1286564633, 1300047831, 1313561831, 1327113920, 1340704009, 1354331346, 1367992872, 1381687425, 1395415056, 1409181166, 1422978789, 1436805296, 1450662629, 1464560046, 1478489182, 1492460562, 1506458451, 1520493972, 1534548869, 1548645918, 1562777773, 1576945453, 1591146609, 1605375357, 1619629009, 1633920271, 1648243946, 1662587189, 1676971202, 1691396447, 1705839696, 1720319708, 1734830735, 1749372748, 1763949686, 1778553128, 1793182093, 1807845662, 1822536940, 1837262042, 1852011646, 1866799510, 1881610787, 1896451526, 1911318278, 1926219632, 1941150597, 1956115618, 1971110515, 1986123703, 2001171463, 2016248187, 2031353250, 2046489137, 2061648045, 2076836194, 2092049748, 2107299185, 2122567776, 2137865715, 2153195976, 2168551804, 2183935348, 2199349027, 2214788686, 2230251569, 2245740856, 2261265565, 2276815685, 2292390502, 2307983580, 2323611207, 2339264522] + +Built regression model! +Model info: + r^2: 0.9999999998040224 + p-value: 0 + intercept: -3.104271749333588 + slope: 1.339656404847211 +Fractal dimension: 1.339656404847211 diff --git a/fractal_dimension/circle_counting_new/output1e8/pyramids/square_pyramid.txt b/fractal_dimension/circle_counting_new/output1e8/pyramids/square_pyramid.txt index 4a878dc..8e8487a 100644 --- a/fractal_dimension/circle_counting_new/output1e8/pyramids/square_pyramid.txt +++ b/fractal_dimension/circle_counting_new/output1e8/pyramids/square_pyramid.txt @@ -1,2 +1,22 @@ -22m 24.19529008199993s -1.335323975419279 +Counting circles +20% 35m 50.74912836800013s remaining +40% 20m 9.847594274999892s remaining +60% 11m 56.968209339000055s remaining +80% 5m 36.06936355300002s remaining + +Took 26m 53.107327552000015s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[1257266930, 1273917800, 1290632167, 1307396670, 1324215701, 1341075077, 1357986695, 1374966119, 1391980350, 1409052972, 1426179756, 1443364466, 1460598407, 1477886273, 1495218757, 1512604679, 1530055456, 1547544507, 1565085833, 1582676022, 1600307409, 1617996609, 1635726452, 1653503966, 1671321572, 1689207283, 1707137627, 1725102619, 1743114057, 1761187828, 1779305745, 1797465433, 1815660314, 1833912241, 1852215042, 1870563980, 1888956009, 1907395508, 1925871008, 1944393736, 1962971680, 1981600399, 2000249741, 2018949289, 2037705942, 2056481370, 2075305954, 2094177714, 2113083790, 2132028237, 2151018773, 2170057017, 2189131608, 2208245854, 2227417310, 2246632683, 2265889594, 2285180355, 2304514244, 2323894044, 2343304387, 2362759044, 2382253776, 2401797490, 2421373072, 2440997648, 2460656945, 2480339030, 2500071038, 2519835092, 2539642487, 2559499907, 2579376936, 2599309367, 2619284713, 2639300843, 2659359379, 2679448124, 2699569640, 2719727661, 2739933671, 2760175004, 2780451624, 2800777625, 2821127179, 2841514084, 2861938760, 2882387516, 2902876317, 2923404086, 2943958679, 2964563831, 2985203655, 3005880423, 3026589905, 3047328527, 3068106350, 3088925397, 3109780933, 3130654308] + +Built regression model! +Model info: + r^2: 0.9999999980366562 + p-value: 0 + intercept: -2.7330843680656614 + slope: 1.335323975419279 +Fractal dimension: 1.335323975419279 diff --git a/fractal_dimension/circle_counting_new/output1e8/rhombic/rhombic_dodecahedron.txt b/fractal_dimension/circle_counting_new/output1e8/rhombic/rhombic_dodecahedron.txt index 0efd817..5031aa6 100644 --- a/fractal_dimension/circle_counting_new/output1e8/rhombic/rhombic_dodecahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e8/rhombic/rhombic_dodecahedron.txt @@ -1,2 +1,31 @@ -134m 59.744132675999936s -1.489474826286628 +Counting circles +7% 97m 11.191845465999904s remaining +14% 89m 42.98814723600026s remaining +21% 82m 13.751174813999569s remaining +29% 74m 44.84416811000028s remaining +36% 84m 34.30875196600027s remaining +43% 85m 25.69111194099969s remaining +50% 81m 9.737510181999824s remaining +57% 73m 41.386816274999546s remaining +64% 58m 44.23003601600021s remaining +71% 45m 16.808738188999996s remaining +79% 32m 54.71331615600002s remaining +86% 22m 57.68007762000002s remaining +93% 11m 10.346648189000007s remaining + +Took 162m 19.70286506500088s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[2664458950, 2703851308, 2743416563, 2783173572, 2823126733, 2863255560, 2903572048, 2944096103, 2984788385, 3025676511, 3066751430, 3108003362, 3149416679, 3191016844, 3232782162, 3274743730, 3316890375, 3359216666, 3401710673, 3444363915, 3487201561, 3530213579, 3573385921, 3616757089, 3660293652, 3704011253, 3747890247, 3791935853, 3836142069, 3880495750, 3925040755, 3969742367, 4014617822, 4059652180, 4104856861, 4150221656, 4195762733, 4241455518, 4287314073, 4333334246, 4379500824, 4425842809, 4472351982, 4519031434, 4565854749, 4612839200, 4659977925, 4707275642, 4754736364, 4802331103, 4850103250, 4898025699, 4946125132, 4994367513, 5042748448, 5091277408, 5139952012, 5188790881, 5237781065, 5286917439, 5336201602, 5385653745, 5435237632, 5484994666, 5534886965, 5584919718, 5635118418, 5685438913, 5735919758, 5786550197, 5837326960, 5888237829, 5939280563, 5990482741, 6041828124, 6093322012, 6144945719, 6196739159, 6248666342, 6300730869, 6352939966, 6405293296, 6457777953, 6510423055, 6563176917, 6616114109, 6669176163, 6722352102, 6775668140, 6829126510, 6882736312, 6936494277, 6990374407, 7044398147, 7098551135, 7152848130, 7207275216, 7261829929, 7316525762, 7371354880] + +Built regression model! +Model info: + r^2: 0.9999999998288966 + p-value: 0 + intercept: -4.716274115395105 + slope: 1.489474826286628 +Fractal dimension: 1.489474826286628 diff --git a/fractal_dimension/circle_counting_new/output1e8/rhombic/rhombic_triacontahedron.txt b/fractal_dimension/circle_counting_new/output1e8/rhombic/rhombic_triacontahedron.txt index 2531031..b856adc 100644 --- a/fractal_dimension/circle_counting_new/output1e8/rhombic/rhombic_triacontahedron.txt +++ b/fractal_dimension/circle_counting_new/output1e8/rhombic/rhombic_triacontahedron.txt @@ -1,2 +1,49 @@ -193m 36.45822434299953s -1.500059265948014 +Counting circles +3% 432m 26.037728783001512s remaining +6% 410m 46.19545877999917s remaining +9% 391m 44.976169762998325s remaining +13% 371m 58.986366249999264s remaining +16% 362m 18.913104923998617s remaining +19% 351m 13.149969624999358s remaining +22% 334m 32.92966052799966s remaining +25% 318m 53.87248119599826s remaining +28% 306m 5.749243144000502s remaining +31% 292m 23.512135280998336s remaining +34% 279m 24.46852231700177s remaining +38% 265m 47.874574065999695s remaining +41% 238m 32.73029761900034s remaining +44% 214m 22.37825437200081s remaining +47% 193m 11.879617987000529s remaining +50% 173m 59.292376527999295s remaining +53% 156m 59.382121736000045s remaining +56% 141m 22.923704786999224s remaining +59% 126m 41.70228943700022s remaining +63% 113m 5.331367122999836s remaining +66% 100m 40.89090306599974s remaining +69% 89m 3.7551209889998063s remaining +72% 78m 2.932306654999593s remaining +75% 67m 39.56198384199979s remaining +78% 57m 54.839154317000066s remaining +81% 48m 35.46939694499997s remaining +84% 39m 42.42630174299984s remaining +88% 31m 9.814469920999954s remaining +91% 22m 55.86119744200005s remaining +94% 15m 0.2234178050000537s remaining +97% 7m 22.407933017999994s remaining + +Took 231m 57.971076263000214s to count circles + +Done counting circles! +sample points: +[50500000.0, 51000000.0, 51500000.0, 52000000.0, 52500000.0, 53000000.0, 53500000.0, 54000000.0, 54500000.0, 55000000.0, 55500000.0, 56000000.0, 56500000.0, 57000000.0, 57500000.0, 58000000.0, 58500000.0, 59000000.0, 59500000.0, 60000000.0, 60500000.0, 61000000.0, 61500000.0, 62000000.0, 62500000.0, 63000000.0, 63500000.0, 64000000.0, 64500000.0, 65000000.0, 65500000.0, 66000000.0, 66500000.0, 67000000.0, 67500000.0, 68000000.0, 68500000.0, 69000000.0, 69500000.0, 70000000.0, 70500000.0, 71000000.0, 71500000.0, 72000000.0, 72500000.0, 73000000.0, 73500000.0, 74000000.0, 74500000.0, 75000000.0, 75500000.0, 76000000.0, 76500000.0, 77000000.0, 77500000.0, 78000000.0, 78500000.0, 79000000.0, 79500000.0, 80000000.0, 80500000.0, 81000000.0, 81500000.0, 82000000.0, 82500000.0, 83000000.0, 83500000.0, 84000000.0, 84500000.0, 85000000.0, 85500000.0, 86000000.0, 86500000.0, 87000000.0, 87500000.0, 88000000.0, 88500000.0, 89000000.0, 89500000.0, 90000000.0, 90500000.0, 91000000.0, 91500000.0, 92000000.0, 92500000.0, 93000000.0, 93500000.0, 94000000.0, 94500000.0, 95000000.0, 95500000.0, 96000000.0, 96500000.0, 97000000.0, 97500000.0, 98000000.0, 98500000.0, 99000000.0, 99500000.0, 100000000.0] + +number of circles fewer than each of those sample points: +[1473083877, 1495009136, 1517051183, 1539200068, 1561452784, 1583814842, 1606284385, 1628860137, 1651530255, 1674308940, 1697193925, 1720189711, 1743282572, 1766474563, 1789773009, 1813167318, 1836661541, 1860265495, 1883962332, 1907762738, 1931660699, 1955657222, 1979750801, 2003947406, 2028240965, 2052621928, 2077106223, 2101694512, 2126371423, 2151151187, 2176021949, 2200982762, 2226040264, 2251197097, 2276439479, 2301785092, 2327219672, 2352742420, 2378363431, 2404070003, 2429879857, 2455782325, 2481784232, 2507870677, 2534038740, 2560303811, 2586653254, 2613088917, 2639610340, 2666227923, 2692934360, 2719727232, 2746608954, 2773579551, 2800642864, 2827792317, 2855022372, 2882349508, 2909758471, 2937250151, 2964835248, 2992497651, 3020253198, 3048086896, 3076009930, 3104012857, 3132113405, 3160288952, 3188542774, 3216880018, 3245301666, 3273811904, 3302417123, 3331102875, 3359860122, 3388697948, 3417622780, 3446618024, 3475705194, 3504870476, 3534115719, 3563447238, 3592846982, 3622340818, 3651913381, 3681563452, 3711294219, 3741096065, 3770976162, 3800942946, 3830989708, 3861113457, 3891309905, 3921597537, 3951954002, 3982395209, 4012916397, 4043507104, 4074175250, 4104918500] + +Built regression model! +Model info: + r^2: 0.9999999996619173 + p-value: 0 + intercept: -5.4966479976759395 + slope: 1.500059265948014 +Fractal dimension: 1.500059265948014 diff --git a/fractal_dimension/circle_counting_new/output2e8/antiprisms/decagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output2e8/antiprisms/decagonal_antiprism.txt new file mode 100644 index 0000000..6b4513b --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/antiprisms/decagonal_antiprism.txt @@ -0,0 +1,37 @@ +Counting circles +5% 1252m 38.12596087399288s remaining +10% 1150m 50.11007525399327s remaining +15% 1036m 15.31638822700188s remaining +20% 923m 31.55067417200189s remaining +25% 823m 19.66335514799721s remaining +30% 740m 34.96644521899725s remaining +35% 675m 28.29254096400109s remaining +40% 624m 39.02902509999694s remaining +45% 582m 17.79912355000124s remaining +50% 541m 33.68007272199975s remaining +55% 495m 47.99694275699949s remaining +60% 443m 1.5165833579994796s remaining +65% 385m 28.90525624899965s remaining +70% 326m 14.715221467999072s remaining +75% 268m 1.3237287310003012s remaining +80% 212m 3.7195192800008954s remaining +85% 158m 22.69683808800073s remaining +90% 105m 59.26889871300045s remaining +95% 53m 31.22387619700021s remaining + +Took 1083m 1.6371927590007544s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[9879344547, 10020045714, 10161357739, 10303263468, 10445752881, 10588866970, 10732550582, 10876825923, 11021690666, 11167130314, 11313153697, 11459716652, 11606897156, 11754611857, 11902925018, 12051748618, 12201168572, 12351128675, 12501646290, 12652716175, 12804351873, 12956514289, 13109235590, 13262485692, 13416270859, 13570605310, 13725444095, 13880833506, 14036741480, 14193196284, 14350186630, 14507719217, 14665739875, 14824273781, 14983338121, 15142923300, 15303003507, 15463599427, 15624716004, 15786343464, 15948488708, 16111109627, 16274205692, 16437818785, 16601912008, 16766528646, 16931628119, 17097193547, 17263237802, 17429780239, 17596827379, 17764349810, 17932366995, 18100843042, 18269815663, 18439253787, 18609150953, 18779510000, 18950325083, 19121628244, 19293409242, 19465649952, 19638347868, 19811506798, 19985161493, 20159236359, 20333793693, 20508762248, 20684201313, 20860091497, 21036418305, 21213208560, 21390449248, 21568133620, 21746290271, 21924866392, 22103905859, 22283363875, 22463271669, 22643618566, 22824416864, 23005632195, 23187299606, 23369399908, 23551908723, 23734854664, 23918223994, 24102017426, 24286263060, 24470928615, 24656033885, 24841556454, 25027488574, 25213840996, 25400601650, 25587765814, 25775382789, 25963422849, 26151846996, 26340687846] + +Built regression model! +Model info: + r^2: 0.9999999998106803 + p-value: 0 + intercept: -3.441808459800619 + slope: 1.435410636126871 +Fractal dimension: 1.435410636126871 diff --git a/fractal_dimension/circle_counting_new/output2e8/antiprisms/heptagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output2e8/antiprisms/heptagonal_antiprism.txt new file mode 100644 index 0000000..dad1d68 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/antiprisms/heptagonal_antiprism.txt @@ -0,0 +1,31 @@ +Counting circles +7% 604m 9.175223573001858s remaining +14% 551m 33.88041364200035s remaining +21% 497m 6.60230411700104s remaining +29% 444m 59.16494823500034s remaining +36% 397m 48.45700698699875s remaining +43% 354m 13.709684965000633s remaining +50% 311m 58.83535666199896s remaining +57% 268m 29.76989912300087s remaining +64% 223m 28.626044013000865s remaining +71% 177m 58.59222564099946s remaining +79% 132m 55.40090808599962s remaining +86% 88m 31.122837920000165s remaining +93% 44m 21.395853606999935s remaining + +Took 623m 8.0861158550033s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[8368238871, 8486243122, 8604727714, 8723693112, 8843133234, 8963077856, 9083483969, 9204377995, 9325724318, 9447544635, 9569827160, 9692578661, 9815785373, 9939481333, 10063607308, 10188189706, 10313233830, 10438741151, 10564674353, 10691077797, 10817905655, 10945203741, 11072944306, 11201116979, 11329714849, 11458739707, 11588200590, 11718088139, 11848410243, 11979155736, 12110342357, 12241936695, 12373970348, 12506396466, 12639245006, 12772507306, 12906185496, 13040286139, 13174781752, 13309687368, 13445008209, 13580702737, 13716823416, 13853326325, 13990215745, 14127555056, 14265284739, 14403410644, 14541911799, 14680809948, 14820085383, 14959754003, 15099812014, 15240264440, 15381089306, 15522302251, 15663898591, 15805896800, 15948249429, 16090992814, 16234120297, 16377616595, 16521469773, 16665701154, 16810307068, 16955276114, 17100637097, 17246336405, 17392407242, 17538859236, 17685682572, 17832867547, 17980391471, 18128275083, 18276524732, 18425140288, 18574122012, 18723431959, 18873117881, 19023137516, 19173484033, 19324202549, 19475296904, 19626720253, 19778491969, 19930596573, 20083049613, 20235853001, 20389017583, 20542504370, 20696330459, 20850487070, 21004992125, 21159829107, 21315000132, 21470515396, 21626367755, 21782552493, 21939065623, 22095903486] + +Built regression model! +Model info: + r^2: 0.9999999999441769 + p-value: 0 + intercept: -3.3456507752986013 + slope: 1.4211861593858608 +Fractal dimension: 1.4211861593858608 diff --git a/fractal_dimension/circle_counting_new/output2e8/antiprisms/hexagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output2e8/antiprisms/hexagonal_antiprism.txt new file mode 100644 index 0000000..78d2d7f --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/antiprisms/hexagonal_antiprism.txt @@ -0,0 +1,29 @@ +Counting circles +8% 479m 0.387609691999387s remaining +17% 430m 25.712692944998707s remaining +25% 378m 50.819240262000676s remaining +33% 332m 45.87474061800094s remaining +42% 289m 54.128411203000724s remaining +50% 247m 5.562230809999164s remaining +58% 204m 7.877331961000891s remaining +67% 161m 55.54234249299952s remaining +75% 120m 30.386952279999605s remaining +83% 79m 52.14468192999993s remaining +92% 39m 47.86750474400014s remaining + +Took 476m 36.67379922499822s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[7585807320, 7692125957, 7798884664, 7906057647, 8013643722, 8121663947, 8230119916, 8338982925, 8448262354, 8557959869, 8668061934, 8778577193, 8889509421, 9000868165, 9112619241, 9224762504, 9337300012, 9450241885, 9563585451, 9677313512, 9791432891, 9905946961, 10020868665, 10136163148, 10251834786, 10367895960, 10484341129, 10601138413, 10718356495, 10835922880, 10953850541, 11072147024, 11190822408, 11309883476, 11429289612, 11549067792, 11669195789, 11789698601, 11910571110, 12031793768, 12153377915, 12275334328, 12397648347, 12520292010, 12643275825, 12766640624, 12890346455, 13014394338, 13138778544, 13263517204, 13388609177, 13514026991, 13639811737, 13765910918, 13892351685, 14019130188, 14146257207, 14273689967, 14401486031, 14529602798, 14658064191, 14786825211, 14915954828, 15045376049, 15175131327, 15305221198, 15435599974, 15566298104, 15697355529, 15828724906, 15960422226, 16092427911, 16224738285, 16357392697, 16490353455, 16623629705, 16757226304, 16891110591, 17025335796, 17159854810, 17294661117, 17429782521, 17565237259, 17700982489, 17837040229, 17973378232, 18110036277, 18246988792, 18384246259, 18521792812, 18659652020, 18797815377, 18936275614, 19075016195, 19214068289, 19353412533, 19493066536, 19633004293, 19773213587, 19913750436] + +Built regression model! +Model info: + r^2: 0.9999999998104939 + p-value: 0 + intercept: -3.286809376868625 + slope: 1.412667738751613 +Fractal dimension: 1.412667738751613 diff --git a/fractal_dimension/circle_counting_new/output2e8/antiprisms/nonagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output2e8/antiprisms/nonagonal_antiprism.txt new file mode 100644 index 0000000..febaabc --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/antiprisms/nonagonal_antiprism.txt @@ -0,0 +1,35 @@ +Counting circles +6% 67m 3.128574867000225s remaining +11% 63m 5.265576616000089s remaining +17% 61m 1.7202256499999748s remaining +22% 59m 58.369607563000045s remaining +28% 58m 48.93648976900022s remaining +33% 56m 39.81107519599982s remaining +39% 53m 8.683981614999993s remaining +44% 48m 26.472358030000123s remaining +50% 43m 5.533158169000217s remaining +56% 35m 53.41786405599987s remaining +61% 29m 44.04054923600006s remaining +67% 24m 24.39446349800005s remaining +72% 19m 40.36605304799991s remaining +78% 15m 19.488433986000018s remaining +83% 11m 13.499059983000052s remaining +89% 7m 18.477158370999973s remaining +94% 3m 33.72494496600001s remaining + +Took 62m 25.186700664s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[628152316, 637073850, 646021847, 655014918, 664048988, 673118402, 682248670, 691401371, 700588150, 709824156, 719078693, 728363779, 737677791, 747037734, 756439945, 765874973, 775351874, 784859488, 794397232, 803978338, 813586282, 823223161, 832895006, 842594778, 852334283, 862114231, 871925983, 881766333, 891648568, 901566308, 911521653, 921500774, 931517140, 941560334, 951628387, 961735963, 971870299, 982049611, 992254894, 1002509121, 1012790454, 1023080287, 1033416761, 1043777797, 1054170503, 1064586410, 1075048054, 1085532589, 1096048642, 1106578220, 1117148459, 1127750221, 1138391644, 1149067734, 1159763980, 1170492755, 1181256000, 1192051717, 1202874396, 1213722496, 1224601315, 1235503134, 1246430550, 1257398357, 1268376915, 1279396385, 1290450859, 1301530793, 1312627432, 1323768516, 1334935060, 1346132152, 1357346659, 1368586105, 1379857087, 1391180668, 1402518976, 1413887444, 1425269997, 1436680882, 1448120116, 1459589475, 1471096444, 1482609082, 1494150447, 1505734625, 1517331635, 1528962477, 1540611645, 1552308400, 1564011267, 1575740181, 1587502414, 1599287147, 1611106845, 1622952188, 1634835897, 1646737499, 1658648333, 1670594843] + +Built regression model! +Model info: + r^2: 0.9999999976842024 + p-value: 0 + intercept: -6.129772952081929 + slope: 1.4317494353336662 +Fractal dimension: 1.4317494353336662 diff --git a/fractal_dimension/circle_counting_new/output2e8/antiprisms/octagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output2e8/antiprisms/octagonal_antiprism.txt new file mode 100644 index 0000000..1042167 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/antiprisms/octagonal_antiprism.txt @@ -0,0 +1,33 @@ +Counting circles +6% 725m 15.960744345000421s remaining +13% 662m 49.46227201500005s remaining +19% 597m 19.6912686450014s remaining +25% 535m 30.60650144000101s remaining +31% 481m 22.20558608599822s remaining +38% 435m 10.831210576001467s remaining +44% 394m 11.619898788001592s remaining +50% 354m 36.444852330001595s remaining +56% 312m 49.02412254099909s remaining +63% 268m 10.727313351999328s remaining +69% 222m 7.59344162600064s remaining +75% 176m 51.74547915199946s remaining +81% 133m 11.156329313999777s remaining +88% 89m 29.690696548000233s remaining +94% 45m 16.82066764299998s remaining + +Took 733m 42.2508163800012s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[8981414761, 9108613750, 9236343694, 9364583517, 9493355206, 9622669450, 9752514107, 9882879918, 10013724893, 10145113781, 10277002286, 10409429500, 10542355551, 10675782817, 10809663641, 10944063385, 11078984133, 11214382278, 11350267402, 11486631405, 11623486448, 11760842347, 11898666725, 12036971772, 12175763695, 12315007721, 12454742545, 12594941302, 12735612430, 12876739126, 13018366359, 13160460897, 13302996274, 13445974406, 13589388855, 13733286972, 13877648032, 14022460379, 14167687291, 14313389361, 14459532795, 14606122421, 14753177593, 14900640844, 15048556317, 15196901935, 15345683460, 15494882121, 15644535913, 15794601869, 15945092880, 16096018710, 16247401170, 16399182484, 16551385307, 16704001805, 16857026545, 17010491849, 17164361418, 17318657698, 17473338194, 17628448383, 17783948271, 17939879486, 18096202302, 18252948540, 18410090176, 18567628283, 18725576750, 18883919378, 19042669318, 19201811165, 19361353326, 19521277150, 19681597864, 19842313873, 20003430672, 20164926275, 20326805752, 20489055375, 20651708781, 20814769902, 20978176324, 21142013704, 21306215306, 21470766781, 21635713173, 21801056594, 21966769460, 22132864187, 22299304348, 22466129973, 22633315308, 22800865076, 22968802988, 23137082365, 23305754908, 23474794745, 23644225855, 23813984936] + +Built regression model! +Model info: + r^2: 0.9999999999670025 + p-value: 0 + intercept: -3.3871774278237012 + slope: 1.427276339103884 +Fractal dimension: 1.427276339103884 diff --git a/fractal_dimension/circle_counting_new/output2e8/antiprisms/pentagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output2e8/antiprisms/pentagonal_antiprism.txt new file mode 100644 index 0000000..3b50cd6 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/antiprisms/pentagonal_antiprism.txt @@ -0,0 +1,27 @@ +Counting circles +10% 343m 6.0811345010006335s remaining +20% 304m 47.27084446400113s remaining +30% 265m 33.093548779999765s remaining +40% 227m 16.616166457000872s remaining +50% 189m 41.50497566500053s remaining +60% 151m 37.32995973300058s remaining +70% 113m 36.750938694999604s remaining +80% 76m 15.53605476499979s remaining +90% 38m 20.664037620999807s remaining + +Took 383m 46.710013599000376s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[6555071424, 6646118497, 6737501936, 6829248455, 6921343773, 7013763784, 7106550733, 7199691428, 7293190822, 7387017082, 7481195313, 7575707157, 7670563934, 7765753974, 7861275929, 7957131330, 8053326346, 8149838652, 8246689801, 8343848620, 8441344914, 8539150897, 8637292611, 8735746220, 8834509370, 8933625255, 9033044754, 9132773684, 9232790819, 9333133713, 9433797344, 9534763072, 9636028978, 9737593034, 9839468741, 9941647694, 10044119537, 10146901490, 10249978619, 10353328194, 10457008174, 10560956667, 10665198379, 10769762899, 10874609111, 10979737364, 11085178051, 11190884284, 11296877114, 11403150057, 11509718341, 11616549116, 11723669742, 11831050558, 11938730105, 12046681475, 12154912328, 12263433320, 12372226783, 12481293692, 12590631268, 12700256845, 12810144164, 12920302611, 13030700598, 13141373673, 13252320329, 13363534452, 13475036027, 13586776296, 13698785100, 13811053940, 13923596920, 14036407174, 14149423076, 14262741150, 14376296174, 14490128828, 14604222865, 14718557567, 14833139379, 14947958158, 15063056747, 15178403619, 15294002494, 15409852546, 15525962812, 15642293061, 15758885526, 15875712506, 15992799864, 16110134586, 16227707416, 16345535625, 16463604315, 16581925384, 16700488441, 16819288735, 16938304050, 17057558264] + +Built regression model! +Model info: + r^2: 0.9999999999590559 + p-value: 0 + intercept: -3.196203117536875 + slope: 1.3998275441096575 +Fractal dimension: 1.3998275441096575 diff --git a/fractal_dimension/circle_counting_new/output2e8/antiprisms/square_antiprism.txt b/fractal_dimension/circle_counting_new/output2e8/antiprisms/square_antiprism.txt new file mode 100644 index 0000000..c959937 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/antiprisms/square_antiprism.txt @@ -0,0 +1,25 @@ +Counting circles +13% 211m 14.858630028000334s remaining +25% 180m 36.040324497000256s remaining +38% 148m 6.206527476000701s remaining +50% 117m 31.57882735899966s remaining +63% 87m 43.01816014399992s remaining +75% 58m 17.161327384999822s remaining +88% 29m 4.311041596999985s remaining + +Took 232m 9.06253105200085s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[5145457972, 5215812340, 5286423372, 5357296708, 5428419330, 5499789430, 5571422597, 5643310421, 5715471850, 5787860007, 5860528102, 5933422522, 6006569635, 6079943430, 6153572429, 6227455686, 6301558096, 6375897555, 6450497343, 6525334053, 6600403594, 6675705554, 6751254746, 6827005836, 6903001795, 6979250474, 7055710878, 7132405731, 7209328976, 7286475645, 7363816916, 7441400237, 7519213900, 7597263618, 7675528922, 7753990807, 7832669584, 7911576538, 7990694494, 8070041667, 8149601683, 8229362376, 8309345329, 8389541881, 8469952182, 8550575211, 8631386249, 8712418530, 8793660336, 8875112817, 8956768522, 9038631813, 9120705387, 9202974464, 9285430828, 9368099830, 9450957653, 9534020961, 9617300005, 9700763702, 9784405655, 9868265003, 9952341794, 10036593482, 10121044722, 10205682775, 10290534064, 10375557383, 10460763464, 10546182108, 10631787891, 10717587284, 10803577339, 10889746202, 10976103188, 11062649448, 11149390206, 11236300124, 11323420523, 11410721625, 11498198989, 11585849869, 11673687781, 11761716725, 11849909031, 11938283772, 12026851567, 12115607010, 12204531894, 12293624233, 12382916766, 12472364211, 12562008870, 12651811973, 12741784310, 12831952258, 12922279535, 13012766349, 13103428540, 13194274559] + +Built regression model! +Model info: + r^2: 0.9999999996935666 + p-value: 0 + intercept: -3.0419526518629283 + slope: 1.378321090406904 +Fractal dimension: 1.378321090406904 diff --git a/fractal_dimension/circle_counting_new/output2e8/misc/6v7f1.txt b/fractal_dimension/circle_counting_new/output2e8/misc/6v7f1.txt new file mode 100644 index 0000000..1d12dd6 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/misc/6v7f1.txt @@ -0,0 +1,23 @@ +Counting circles +17% 131m 47.64014319499984s remaining +33% 87m 5.406665853999584s remaining +50% 52m 40.561460348999844s remaining +67% 30m 54.099491813999975s remaining +83% 15m 47.93597130399996s remaining + +Took 87m 10.306629835000422s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[2727313088, 2763126275, 2799052300, 2835098697, 2871249814, 2907519254, 2943908630, 2980399714, 3017004387, 3053707321, 3090540077, 3127457835, 3164481141, 3201627095, 3238866700, 3276227518, 3313682289, 3351252779, 3388919555, 3426681492, 3464559353, 3502527791, 3540589156, 3578753845, 3617025324, 3655395956, 3693864138, 3732433578, 3771092291, 3809853537, 3848705570, 3887651250, 3926691521, 3965823072, 4005054569, 4044390025, 4083817331, 4123343426, 4162954329, 4202662440, 4242469741, 4282360440, 4322333234, 4362394207, 4402549666, 4442813613, 4483151055, 4523583776, 4564095844, 4604706257, 4645394364, 4686174275, 4727044254, 4768001102, 4809046596, 4850184296, 4891393752, 4932704578, 4974106233, 5015581673, 5057120461, 5098755410, 5140463702, 5182269468, 5224157175, 5266123828, 5308170820, 5350308807, 5392529489, 5434823444, 5477208163, 5519667932, 5562205676, 5604805569, 5647494907, 5690271585, 5733120431, 5776058631, 5819067373, 5862143444, 5905307033, 5948549710, 5991864069, 6035264350, 6078740557, 6122299689, 6165927803, 6209630007, 6253417369, 6297264728, 6341198441, 6385209916, 6429282974, 6473432404, 6517667723, 6561964269, 6606337359, 6650781238, 6695286468, 6739870551] + +Built regression model! +Model info: + r^2: 0.999999999686464 + p-value: 0 + intercept: -2.6799928166886104 + slope: 1.3242402249737837 +Fractal dimension: 1.3242402249737837 diff --git a/fractal_dimension/circle_counting_new/output2e8/misc/6v7f2.txt b/fractal_dimension/circle_counting_new/output2e8/misc/6v7f2.txt new file mode 100644 index 0000000..a964d03 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/misc/6v7f2.txt @@ -0,0 +1,23 @@ +Counting circles +17% 55m 35.96602894999978s remaining +33% 44m 29.973998276000202s remaining +50% 27m 49.8933869330001s remaining +67% 19m 40.56219278599997s remaining +83% 8m 59.126774430999944s remaining + +Took 56m 36.55391499999996s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[1911609331, 1936987131, 1962433592, 1987970163, 2013589469, 2039291848, 2065073784, 2090933680, 2116890886, 2142930559, 2169046068, 2195223682, 2221493317, 2247837685, 2274262871, 2300772122, 2327361840, 2354017207, 2380755884, 2407565937, 2434450386, 2461417673, 2488452024, 2515554683, 2542738532, 2569995772, 2597319377, 2624734444, 2652204516, 2679758850, 2707380602, 2735073787, 2762830689, 2790670410, 2818572880, 2846545488, 2874589406, 2902698530, 2930886822, 2959129219, 2987456906, 3015849750, 3044307161, 3072837554, 3101419044, 3130075320, 3158799960, 3187585181, 3216455302, 3245370196, 3274357013, 3303403646, 3332514331, 3361700482, 3390945767, 3420250206, 3449617873, 3479063014, 3508568300, 3538129608, 3567748992, 3597439186, 3627182178, 3656995210, 3686876489, 3716810213, 3746802842, 3776856744, 3806979144, 3837143556, 3867372844, 3897666596, 3928012756, 3958417695, 3988896797, 4019428298, 4050016141, 4080680100, 4111366120, 4142128350, 4172951998, 4203834722, 4234769556, 4265759547, 4296814181, 4327922775, 4359072135, 4390296266, 4421581913, 4452916164, 4484308583, 4515754260, 4547258148, 4578808291, 4610420635, 4642098390, 4673834523, 4705598651, 4737431282, 4769329245] + +Built regression model! +Model info: + r^2: 0.9999999997941315 + p-value: 0 + intercept: -3.2928517901459244 + slope: 1.3382104117913456 +Fractal dimension: 1.3382104117913456 diff --git a/fractal_dimension/circle_counting_new/output2e8/misc/cuboctohedron.txt b/fractal_dimension/circle_counting_new/output2e8/misc/cuboctohedron.txt new file mode 100644 index 0000000..740a11f --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/misc/cuboctohedron.txt @@ -0,0 +1,29 @@ +Counting circles +8% 899m 17.352501954002946s remaining +17% 817m 33.2146559449975s remaining +25% 735m 42.51635951700155s remaining +33% 654m 20.27467701600108s remaining +42% 572m 26.42329993900057s remaining +50% 490m 39.85391503899882s remaining +58% 409m 42.81276050499946s remaining +67% 328m 5.405271768999228s remaining +75% 246m 1.0673885380001593s remaining +83% 163m 58.90497661900008s remaining +92% 81m 59.03734502600037s remaining + +Took 983m 46.72437732000253s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[13663341091, 13860439276, 14058425252, 14257274197, 14456988656, 14657577848, 14859031872, 15061339474, 15264496692, 15468476495, 15673306412, 15878963220, 16085464020, 16292765852, 16500915587, 16709843692, 16919619632, 17130214699, 17341644551, 17553882138, 17766923323, 17980759117, 18195397137, 18410827610, 18627050771, 18844043422, 19061825234, 19280373962, 19499694664, 19719782019, 19940681909, 20162352832, 20384769553, 20607923978, 20831815539, 21056491893, 21281921072, 21508097679, 21735020702, 21962698331, 22191080718, 22420206750, 22650062432, 22880673338, 23112014922, 23344069585, 23576858283, 23810376250, 24044576821, 24279517996, 24515177432, 24751570881, 24988597160, 25226380729, 25464852916, 25704061816, 25943887865, 26184433196, 26425691232, 26667639215, 26910258560, 27153570991, 27397560218, 27642176658, 27887517375, 28133551385, 28380234612, 28627570574, 28875599959, 29124292593, 29373636310, 29623629965, 29874322722, 30125677470, 30377687870, 30630331923, 30883636305, 31137621280, 31392209987, 31647438265, 31903319710, 32159835953, 32416982622, 32674772545, 32933202656, 33192306139, 33452032982, 33712370310, 33973307762, 34234889161, 34497090823, 34759939171, 35023390855, 35287468025, 35552175994, 35817512968, 36083454312, 36350009004, 36617209368, 36885008293] + +Built regression model! +Model info: + r^2: 0.9999999999135338 + p-value: 0 + intercept: -3.452509385101635 + slope: 1.4535853797283425 +Fractal dimension: 1.4535853797283425 diff --git a/fractal_dimension/circle_counting_new/output2e8/misc/truncated_icosahedron.txt b/fractal_dimension/circle_counting_new/output2e8/misc/truncated_icosahedron.txt new file mode 100644 index 0000000..f0997f0 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/misc/truncated_icosahedron.txt @@ -0,0 +1,77 @@ +Counting circles +2% 9391m 1.7225747130578384s remaining +3% 8722m 19.944784559018444s remaining +5% 8846m 16.004910808056593s remaining +7% 8466m 42.459984570974484s remaining +8% 8491m 1.6919218639959581s remaining +10% 8469m 10.319914737017825s remaining +12% 8193m 26.47918446501717s remaining +13% 7961m 8.191974914981984s remaining +15% 7817m 27.641542832017876s remaining +17% 7639m 37.103595244989265s remaining +18% 7525m 8.756020918022841s remaining +20% 7376m 49.335028988018166s remaining +22% 7287m 24.007065549027175s remaining +23% 7108m 51.167416615993716s remaining +25% 7011m 4.057271368976217s remaining +27% 6839m 36.5553540919791s remaining +28% 6695m 0.30585455597611144s remaining +30% 6496m 10.819478042016272s remaining +32% 6356m 43.20103473198833s remaining +33% 6169m 49.23707288800506s remaining +35% 6043m 1.4994570220005699s remaining +37% 5898m 57.257707123004366s remaining +38% 5770m 48.14207743300358s remaining +40% 5626m 44.0222377749742s remaining +42% 5455m 58.90146470797481s remaining +43% 5277m 10.658529890002683s remaining +45% 5113m 50.78988756501349s remaining +47% 4942m 59.63914076599758s remaining +48% 4796m 18.48818184901029s remaining +50% 4637m 8.909684513986576s remaining +52% 4495m 51.32604914502008s remaining +53% 4341m 35.82183190100477s remaining +55% 4185m 13.273010392993456s remaining +57% 4020m 46.689565165987005s remaining +58% 3869m 29.72606160500436s remaining +60% 3710m 15.97393548200489s remaining +62% 3561m 56.738502574007725s remaining +63% 3401m 37.3254614220059s remaining +65% 3254m 56.87410031701438s remaining +67% 3097m 37.735627677990124s remaining +68% 2944m 59.82380382801057s remaining +70% 2783m 58.76756363798631s remaining +72% 2633m 6.916509102011332s remaining +73% 2474m 48.22306962899165s remaining +75% 2326m 21.42766520899022s remaining +77% 2171m 7.457375576996128s remaining +78% 2021m 27.465317227994092s remaining +80% 1866m 1.9472870879981201s remaining +82% 1710m 22.39738636900438s remaining +83% 1551m 55.87180166300095s remaining +85% 1397m 15.52784394500486s remaining +87% 1239m 14.135801962998812s remaining +88% 1085m 32.139192531001754s remaining +90% 930m 53.97522356200352s remaining +92% 777m 25.64852691499982s remaining +93% 622m 45.061296204003156s remaining +95% 466m 29.931918026999483s remaining +97% 310m 31.84756485300022s remaining +98% 155m 12.892885530000058s remaining + +Took 9303m 41.393897961010225s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[48386279420, 49182552198, 49983962056, 50790523253, 51602224105, 52418998619, 53240895116, 54067787778, 54899749312, 55736773741, 56578791733, 57425742701, 58277742744, 59134671128, 59996582630, 60863452927, 61735210164, 62611883807, 63493469761, 64379898989, 65271240162, 66167421162, 67068480682, 67974343124, 68884956394, 69800396047, 70720665332, 71645634400, 72575367857, 73509812113, 74449079394, 75393025584, 76341687390, 77295053439, 78253103474, 79215832936, 80183236919, 81155284636, 82131935082, 83113227448, 84099133478, 85089606799, 86084706227, 87084406670, 88088652361, 89097437797, 90110754373, 91128632628, 92151017662, 93177948919, 94209369605, 95245302450, 96285776861, 97330705045, 98380089956, 99433911753, 100492201285, 101554948993, 102622113837, 103693614621, 104769567400, 105849895748, 106934623293, 108023739443, 109117238238, 110215148065, 111317340328, 112423898818, 113534800964, 114649982385, 115769487114, 116893322644, 118021430726, 119153896082, 120290634898, 121431630671, 122576993650, 123726532553, 124880292442, 126038315768, 127200488382, 128366943748, 129537692559, 130712566397, 131891725414, 133075069909, 134262525144, 135454163093, 136649948420, 137849936697, 139054082462, 140262437808, 141474914695, 142691502169, 143912183156, 145136923524, 146365793000, 147598849228, 148835913254, 150077094488] + +Built regression model! +Model info: + r^2: 0.9999999999953676 + p-value: 0 + intercept: -5.933785004653217 + slope: 1.6568214589659378 +Fractal dimension: 1.6568214589659378 diff --git a/fractal_dimension/circle_counting_new/output2e8/platonic_solids/cube.txt b/fractal_dimension/circle_counting_new/output2e8/platonic_solids/cube.txt new file mode 100644 index 0000000..caa6d17 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/platonic_solids/cube.txt @@ -0,0 +1,25 @@ +Counting circles +13% 310m 2.0124281179996615s remaining +25% 265m 44.661317829000836s remaining +38% 221m 26.616707593000683s remaining +50% 177m 8.435375531000318s remaining +63% 132m 50.994844216000274s remaining +75% 88m 33.760555224999734s remaining +88% 44m 16.779915229999915s remaining + +Took 354m 23.875467448000563s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[12869838318, 13058931994, 13248858052, 13439712716, 13631445165, 13824045105, 14017535941, 14211888710, 14407083233, 14603136172, 14800077586, 14997842586, 15196500279, 15396012106, 15596321173, 15797531371, 15999544914, 16202392774, 16406052659, 16610542145, 16815854969, 17022033512, 17228939029, 17436693079, 17645263806, 17854642083, 18064828379, 18275768437, 18487526340, 18700060017, 18913379754, 19127455373, 19342321245, 19557965055, 19774419129, 19991627567, 20209600357, 20428343984, 20647840477, 20868074095, 21089104291, 21310882405, 21533422867, 21756710800, 21980736851, 22205461746, 22430977534, 22657237294, 22884201805, 23111886065, 23340342991, 23569495735, 23799397823, 24030029693, 24261363738, 24493418341, 24726194312, 24959698140, 25193879655, 25428778986, 25664332199, 25900643802, 26137607696, 26375349024, 26613804037, 26852911703, 27092713328, 27333225978, 27574377035, 27816223540, 28058736089, 28301962817, 28545851430, 28790445175, 29035739712, 29281701475, 29528278156, 29775560060, 30023501274, 30272109054, 30521410200, 30771344297, 31021917379, 31273185389, 31525134495, 31777707627, 32030967535, 32284858012, 32539410672, 32794563877, 33050390031, 33306885468, 33564010006, 33821773522, 34080130260, 34339132323, 34598812120, 34859117490, 35120039648, 35381592591] + +Built regression model! +Model info: + r^2: 0.9999999999483241 + p-value: 0 + intercept: -4.003827800750813 + slope: 1.4802520560666377 +Fractal dimension: 1.4802520560666377 diff --git a/fractal_dimension/circle_counting_new/output2e8/platonic_solids/dodecahedron.txt b/fractal_dimension/circle_counting_new/output2e8/platonic_solids/dodecahedron.txt new file mode 100644 index 0000000..9cdf977 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/platonic_solids/dodecahedron.txt @@ -0,0 +1,37 @@ +Counting circles +5% 1696m 35.284047712993925s remaining +10% 1606m 23.371838453997043s remaining +15% 1531m 13.310914811998373s remaining +20% 1444m 21.941244907997316s remaining +25% 1353m 29.73214318099781s remaining +30% 1264m 9.633822040996165s remaining +35% 1172m 26.02837308400194s remaining +40% 1081m 38.32970908899733s remaining +45% 990m 50.5447601709966s remaining +50% 900m 43.12765967100131s remaining +55% 810m 25.51727578900318s remaining +60% 720m 7.8617989600024885s remaining +65% 629m 59.3770674069965s remaining +70% 539m 51.429604381999525s remaining +75% 449m 42.73229448699931s remaining +80% 359m 40.18559585899857s remaining +85% 269m 37.38694432900047s remaining +90% 179m 41.10746237700005s remaining +95% 89m 48.57587490700007s remaining + +Took 1795m 58.92093910199765s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[28717793739, 29172983544, 29630832100, 30091359741, 30554532718, 31020318436, 31488735656, 31959778941, 32433486839, 32909763695, 33388605480, 33870023457, 34354016051, 34840591867, 35329704952, 35821363242, 36315566122, 36812290352, 37311509451, 37813262782, 38317495925, 38824235893, 39333465760, 39845148124, 40359275965, 40875887480, 41394975986, 41916488412, 42440449064, 42966815071, 43495596583, 44026743409, 44560373339, 45096380220, 45634817060, 46175611470, 46718781651, 47264306059, 47812185449, 48362432288, 48914992448, 49469902870, 50027189646, 50586772740, 51148680197, 51712927953, 52279431969, 52848251042, 53419386247, 53992801188, 54568528623, 55146517239, 55726775772, 56309295950, 56894084873, 57481106913, 58070377938, 58661925516, 59255710388, 59851655305, 60449891672, 61050309366, 61653012022, 62257897936, 62864976370, 63474255993, 64085710535, 64699309457, 65315127026, 65933168984, 66553340162, 67175682076, 67800212598, 68426827497, 69055625923, 69686587667, 70319702699, 70954889768, 71592277597, 72231755143, 72873362254, 73517108072, 74162896070, 74810855042, 75460846112, 76112997905, 76767267969, 77423603033, 78082044673, 78742499457, 79405052084, 80069752213, 80736481345, 81405265781, 82076179048, 82749065233, 83424005943, 84100987502, 84780003668, 85461101417] + +Built regression model! +Model info: + r^2: 0.9999999999944527 + p-value: 0 + intercept: -5.3389191120212445 + slope: 1.596239407142062 +Fractal dimension: 1.596239407142062 diff --git a/fractal_dimension/circle_counting_new/output2e8/platonic_solids/icosahedron.txt b/fractal_dimension/circle_counting_new/output2e8/platonic_solids/icosahedron.txt new file mode 100644 index 0000000..18b32d8 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/platonic_solids/icosahedron.txt @@ -0,0 +1,29 @@ +Counting circles +8% 350m 16.033064850998926s remaining +17% 318m 28.260117879999598s remaining +25% 286m 40.51705357500032s remaining +33% 254m 48.75673814599941s remaining +42% 222m 58.20238002000042s remaining +50% 191m 7.190027332999307s remaining +58% 159m 15.729893079000249s remaining +67% 127m 24.859996250999757s remaining +75% 95m 33.71528727700024s remaining +83% 63m 42.43360715200015s remaining +92% 31m 51.23421735200009s remaining + +Took 382m 14.7540163090016s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[4211400527, 4268755005, 4326332674, 4384102553, 4442101277, 4500276280, 4558666942, 4617266528, 4676077726, 4735081483, 4794301250, 4853712162, 4913318523, 4973135392, 5033132115, 5093328487, 5153718599, 5214288788, 5275058608, 5336021615, 5397177720, 5458521127, 5520066576, 5581774968, 5643679907, 5705766982, 5768041653, 5830490113, 5893122216, 5955936592, 6018936507, 6082089224, 6145427849, 6208959817, 6272653523, 6336534274, 6400618305, 6464869441, 6529285554, 6593873941, 6658620319, 6723526586, 6788601421, 6853860280, 6919292458, 6984894923, 7050678322, 7116627202, 7182747673, 7249009374, 7315443947, 7382036934, 7448800627, 7515714404, 7582817958, 7650075610, 7717467224, 7785034129, 7852758309, 7920628064, 7988681669, 8056882206, 8125238192, 8193748820, 8262403915, 8331233733, 8400224733, 8469369446, 8538656481, 8608075651, 8677671198, 8747422708, 8817310227, 8887356151, 8957554422, 9027895497, 9098410672, 9169055286, 9239847778, 9310785534, 9381879699, 9453108770, 9524474155, 9595992165, 9667667203, 9739482216, 9811446425, 9883556047, 9955805611, 10028199020, 10100733474, 10173408271, 10246228100, 10319195310, 10392302661, 10465552620, 10538923706, 10612435234, 10686087386, 10759867745] + +Built regression model! +Model info: + r^2: 0.9999999986390502 + p-value: 0 + intercept: -3.1439573258455766 + slope: 1.3729881903819372 +Fractal dimension: 1.3729881903819372 diff --git a/fractal_dimension/circle_counting_new/output2e8/platonic_solids/octahedron.txt b/fractal_dimension/circle_counting_new/output2e8/platonic_solids/octahedron.txt new file mode 100644 index 0000000..52a0d86 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/platonic_solids/octahedron.txt @@ -0,0 +1,23 @@ +Counting circles +17% 89m 57.84703740999976s remaining +33% 71m 57.6228593980004s remaining +50% 53m 59.214897271000154s remaining +67% 35m 59.60607492700001s remaining +83% 17m 59.955399727999975s remaining + +Took 107m 59.6545267219999s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[3172526374, 3214534415, 3256678232, 3298951127, 3341376827, 3383915978, 3426591216, 3469438339, 3512398891, 3555478104, 3598689559, 3642055091, 3685532540, 3729137319, 3772871051, 3816760695, 3860770776, 3904903649, 3949151129, 3993541178, 4038052363, 4082682902, 4127439173, 4172309432, 4217318787, 4262437674, 4307672163, 4353032713, 4398519091, 4444097839, 4489806475, 4535625802, 4581565966, 4627631844, 4673794804, 4720066602, 4766479582, 4812996656, 4859606726, 4906338469, 4953194489, 5000149319, 5047224270, 5094403221, 5141671043, 5189077706, 5236588401, 5284195763, 5331923304, 5379740666, 5427690131, 5475731607, 5523897763, 5572159644, 5620523305, 5668999691, 5717584464, 5766264920, 5815075590, 5863948291, 5912932233, 5962022172, 6011232552, 6060517962, 6109918555, 6159403790, 6209001404, 6258707288, 6308488256, 6358394026, 6408387014, 6458487855, 6508692844, 6558983227, 6609375203, 6659880862, 6710446517, 6761126161, 6811910178, 6862762693, 6913728955, 6964800532, 7015961154, 7067209667, 7118527934, 7169946714, 7221473760, 7273084955, 7324789604, 7376588346, 7428473237, 7480456404, 7532514692, 7584679472, 7636938808, 7689281659, 7741707595, 7794234597, 7846838326, 7899540540] + +Built regression model! +Model info: + r^2: 0.9999999991368259 + p-value: 0 + intercept: -2.7330143081044227 + slope: 1.3353201069773506 +Fractal dimension: 1.3353201069773506 diff --git a/fractal_dimension/circle_counting_new/output1e6/misc/6v6f1.txt b/fractal_dimension/circle_counting_new/output2e8/platonic_solids/tetrahedron.txt similarity index 100% rename from fractal_dimension/circle_counting_new/output1e6/misc/6v6f1.txt rename to fractal_dimension/circle_counting_new/output2e8/platonic_solids/tetrahedron.txt diff --git a/fractal_dimension/circle_counting_new/output2e8/prisms/decagonal_prism.txt b/fractal_dimension/circle_counting_new/output2e8/prisms/decagonal_prism.txt new file mode 100644 index 0000000..731dff5 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/prisms/decagonal_prism.txt @@ -0,0 +1,37 @@ +Counting circles +5% 1489m 34.744147898993106s remaining +10% 1383m 40.83678124200378s remaining +15% 1276m 4.4563503340032184s remaining +20% 1173m 21.891807295993203s remaining +25% 1080m 23.071723485001712s remaining +30% 998m 26.92653888100176s remaining +35% 926m 14.060834805997729s remaining +40% 860m 24.696214629999304s remaining +45% 796m 25.642604936998396s remaining +50% 731m 3.1757547960005468s remaining +55% 662m 16.4988566739994s remaining +60% 589m 51.46657534100086s remaining +65% 514m 54.08573349699873s remaining +70% 439m 2.374718999999459s remaining +75% 363m 45.257373489999736s remaining +80% 289m 46.57882587499989s remaining +85% 217m 3.5548112010001205s remaining +90% 144m 58.181588023000586s remaining +95% 72m 46.64330317900021s remaining + +Took 1462m 11.365853911003796s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[24059743933, 24432602818, 24807507643, 25184495557, 25563502333, 25944500647, 26327550261, 26712609520, 27099697390, 27488793444, 27879852729, 28272917227, 28667949476, 29064897572, 29463834307, 29864721186, 30267607191, 30672416805, 31079130322, 31487799107, 31898324055, 32310782973, 32725119734, 33141384662, 33559537460, 33979564653, 34401475259, 34825261143, 35250868864, 35678331720, 36107666668, 36538875067, 36971869221, 37406663000, 37843327741, 38281815306, 38722108622, 39164207362, 39608114808, 40053829899, 40501303634, 40950573810, 41401622158, 41854449970, 42309033805, 42765381534, 43223519978, 43683352627, 44144988110, 44608331886, 45073395132, 45540187377, 46008715043, 46478933137, 46950900256, 47424590010, 47899960382, 48377036794, 48855852462, 49336341121, 49818515202, 50302398367, 50787929678, 51275159819, 51764031467, 52254580444, 52746781181, 53240686412, 53736187230, 54233313394, 54732107261, 55232555358, 55734611253, 56238347074, 56743673032, 57250604142, 57759154107, 58269373900, 58781167682, 59294555490, 59809545893, 60326106752, 60844309245, 61364105982, 61885463524, 62408400942, 62932961473, 63459061586, 63986741772, 64515990813, 65046832369, 65579203450, 66113111851, 66648617525, 67185641074, 67724207438, 68264332771, 68806009863, 69349223881, 69894007448] + +Built regression model! +Model info: + r^2: 0.9999999999835403 + p-value: 0 + intercept: -4.865734210180868 + slope: 1.5609631207207801 +Fractal dimension: 1.5609631207207801 diff --git a/fractal_dimension/circle_counting_new/output2e8/prisms/heptagonal_prism.txt b/fractal_dimension/circle_counting_new/output2e8/prisms/heptagonal_prism.txt new file mode 100644 index 0000000..43e5a3f --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/prisms/heptagonal_prism.txt @@ -0,0 +1,31 @@ +Counting circles +7% 920m 28.695519542998227s remaining +14% 848m 42.092943677998846s remaining +21% 775m 29.050840114003222s remaining +29% 703m 48.967028812003264s remaining +36% 633m 22.854096502000175s remaining +43% 563m 30.413175173001946s remaining +50% 490m 11.320405564001703s remaining +57% 418m 0.6112995139992563s remaining +64% 346m 44.8756742029982s remaining +71% 276m 15.512069972999598s remaining +79% 206m 28.983736330999818s remaining +86% 137m 18.491269600999658s remaining +93% 68m 32.20457431399973s remaining + +Took 958m 17.47975021199818s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[21117592741, 21441129208, 21766371737, 22093333574, 22422002270, 22752351320, 23084439676, 23418215205, 23753674634, 24090802511, 24429599290, 24770021121, 25112143718, 25455902960, 25801274946, 26148281637, 26496958956, 26847232469, 27199133392, 27552652567, 27907744973, 28264456488, 28622742000, 28982629687, 29344106892, 29707152646, 30071763697, 30437957738, 30805689531, 31174956935, 31545765427, 31918128697, 32292037123, 32667443207, 33044389491, 33422848064, 33802839176, 34184367053, 34567330638, 34951823091, 35337827090, 35725312692, 36114271012, 36504704242, 36896629200, 37290033305, 37684841583, 38081098297, 38478861465, 38878074765, 39278730627, 39680838170, 40084405112, 40489396414, 40895821365, 41303719450, 41712995995, 42123711015, 42535820189, 42949378685, 43364311363, 43780649980, 44198351080, 44617484245, 45038026541, 45459937288, 45883235536, 46307896570, 46733928452, 47161311341, 47590062247, 48020162126, 48451665050, 48884502136, 49318686616, 49754248646, 50191179670, 50629395975, 51068953483, 51509882558, 51952117573, 52395704625, 52840600278, 53286792071, 53734364559, 54183198600, 54633393164, 55084862794, 55537660551, 55991771214, 56447194584, 56903920289, 57361857089, 57821128217, 58281686733, 58743542020, 59206691757, 59671100045, 60136790188, 60603794476] + +Built regression model! +Model info: + r^2: 0.9999999999749315 + p-value: 0 + intercept: -4.667062860863233 + slope: 1.5431071944964327 +Fractal dimension: 1.5431071944964327 diff --git a/fractal_dimension/circle_counting_new/output2e8/prisms/hexagonal_prism.txt b/fractal_dimension/circle_counting_new/output2e8/prisms/hexagonal_prism.txt new file mode 100644 index 0000000..bbd7d15 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/prisms/hexagonal_prism.txt @@ -0,0 +1,29 @@ +Counting circles +8% 733m 28.25387457299803s remaining +17% 667m 20.42983659500169s remaining +25% 599m 6.644943252002122s remaining +33% 531m 49.96191462600109s remaining +42% 465m 4.138429710001219s remaining +50% 398m 28.941688446000626s remaining +58% 331m 57.457339079999656s remaining +67% 265m 28.048338443999455s remaining +75% 199m 2.150750581999091s remaining +83% 132m 39.58649699200032s remaining +92% 66m 19.356889499999852s remaining + +Took 795m 49.791426253999816s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[19402473148, 19697465688, 19993976949, 20292053415, 20591649088, 20892775005, 21195388833, 21499515554, 21805132839, 22112281061, 22420889069, 22730994718, 23042603192, 23355636313, 23670159247, 23986102214, 24303503430, 24622344584, 24942675523, 25264429743, 25587587012, 25912195639, 26238199499, 26565637080, 26894453206, 27224689091, 27556306856, 27889343177, 28223724927, 28559490450, 28896658726, 29235191726, 29575093808, 29916332987, 30258923818, 30602882892, 30948177437, 31294821856, 31642833756, 31992162448, 32342826866, 32694845032, 33048106349, 33402708018, 33758613317, 34115859321, 34474428928, 34834242326, 35195375868, 35557787737, 35921474536, 36286470875, 36652723041, 37020269441, 37389085878, 37759173094, 38130524699, 38503126982, 38877001915, 39252111319, 39628454642, 40006044253, 40384891562, 40764962052, 41146279563, 41528804791, 41912554266, 42297544746, 42683777637, 43071177053, 43459787988, 43849601814, 44240648808, 44632903968, 45026381053, 45421030519, 45816868198, 46213947001, 46612144586, 47011581156, 47412167644, 47813952209, 48216900770, 48621027080, 49026343291, 49432820156, 49840461808, 50249271108, 50659170644, 51070276269, 51482506090, 51895936373, 52310504092, 52726179647, 53142998321, 53560954604, 53980051796, 54400283273, 54821629016, 55244118726] + +Built regression model! +Model info: + r^2: 0.9999999999841502 + p-value: 0 + intercept: -4.5390981641770125 + slope: 1.531567958633147 +Fractal dimension: 1.531567958633147 diff --git a/fractal_dimension/circle_counting_new/output2e8/prisms/nonagonal_prism.txt b/fractal_dimension/circle_counting_new/output2e8/prisms/nonagonal_prism.txt new file mode 100644 index 0000000..294c842 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/prisms/nonagonal_prism.txt @@ -0,0 +1,35 @@ +Counting circles +6% 1334m 15.678955148992827s remaining +11% 1238m 53.79574471199885s remaining +17% 1143m 47.164359870002954s remaining +22% 1053m 16.133526848003385s remaining +28% 969m 44.41283413399651s remaining +33% 893m 35.94059200600168s remaining +39% 821m 31.25519569699827s remaining +44% 751m 15.82120720599778s remaining +50% 680m 13.800927468997543s remaining +56% 606m 59.47137954200298s remaining +61% 531m 37.62915984400024s remaining +67% 454m 39.41186695600118s remaining +72% 377m 29.72575495699857s remaining +78% 301m 0.6060720889981894s remaining +83% 225m 25.04278160799913s remaining +89% 150m 23.284293841999897s remaining +94% 75m 22.53740305500014s remaining + +Took 1360m 38.75066545899608s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[23312822478, 23673137682, 24035431645, 24399686492, 24765885074, 25134037638, 25504126732, 25876145953, 26250110388, 26625966562, 27003689433, 27383348294, 27764877453, 28148308677, 28533598995, 28920787439, 29309852896, 29700725329, 30093433114, 30488035335, 30884510588, 31282749772, 31682816703, 32084653459, 32488365228, 32893863660, 33301114811, 33710125072, 34120989893, 34533586286, 34947952589, 35364120578, 35782022374, 36201701424, 36623130567, 37046258170, 37471203502, 37897849745, 38326199154, 38756288156, 39188085536, 39621564048, 40056785892, 40493661148, 40932234519, 41372542833, 41814499994, 42258118408, 42703416622, 43150404172, 43599024645, 44049317084, 44501233096, 44954802461, 45410014286, 45866892940, 46325404891, 46785565168, 47247334084, 47710731259, 48175719401, 48642325243, 49110590680, 49580431336, 50051837297, 50524847546, 50999424279, 51475622343, 51953408026, 52432697324, 52913608511, 53396083706, 53880129206, 54365750723, 54852922202, 55341628804, 55831856988, 56323676343, 56817030370, 57311882014, 57808354553, 58306330739, 58805790232, 59306764927, 59809235016, 60313248869, 60818756666, 61325796018, 61834317104, 62344344606, 62855873597, 63368905087, 63883397566, 64399408295, 64916882648, 65435873977, 65956314831, 66478230313, 67001617677, 67526480697] + +Built regression model! +Model info: + r^2: 0.9999999999676688 + p-value: 0 + intercept: -4.818121630640782 + slope: 1.5566691567046091 +Fractal dimension: 1.5566691567046091 diff --git a/fractal_dimension/circle_counting_new/output2e8/prisms/octagonal_prism.txt b/fractal_dimension/circle_counting_new/output2e8/prisms/octagonal_prism.txt new file mode 100644 index 0000000..607d96b --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/prisms/octagonal_prism.txt @@ -0,0 +1,33 @@ +Counting circles +6% 1062m 28.976830738996796s remaining +13% 984m 14.910134471996571s remaining +19% 906m 54.84550455599674s remaining +25% 832m 21.261962919001235s remaining +31% 761m 7.0039825860003475s remaining +38% 692m 46.50247995599784s remaining +44% 625m 17.93284501999733s remaining +50% 557m 30.74450677900313s remaining +56% 488m 40.67178071500166s remaining +63% 418m 50.002869351999834s remaining +69% 348m 32.76164631700158s remaining +75% 278m 44.212611014001595s remaining +81% 208m 48.29668658099945s remaining +88% 139m 12.44301521700072s remaining +94% 69m 40.63637453699994s remaining + +Took 1116m 21.19391812699905s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[22364073443, 22708433887, 23054632400, 23402677609, 23752609707, 24104359084, 24457943151, 24813382458, 25170641819, 25529705346, 25890588750, 26253283513, 26617740718, 26983994977, 27351996231, 27721768862, 28093304241, 28466605773, 28841671784, 29218458319, 29596986160, 29977235947, 30359176161, 30742844452, 31128205568, 31515267717, 31904080328, 32294539557, 32686679519, 33080503170, 33476001743, 33873171919, 34272013253, 34672482767, 35074632982, 35478448466, 35883864597, 36290915657, 36699651581, 37109973728, 37521877506, 37935438236, 38350586846, 38767328136, 39185645089, 39605577805, 40027140362, 40450237473, 40874941244, 41301189021, 41729047611, 42158440533, 42589382795, 43021915604, 43455987684, 43891606835, 44328767843, 44767465581, 45207682619, 45649419678, 46092667555, 46537445783, 46983758965, 47431597121, 47880964269, 48331789156, 48784102889, 49237924741, 49693249798, 50150043663, 50608315457, 51068071727, 51529342042, 51992036175, 52456223456, 52921854503, 53388942453, 53857451317, 54327404242, 54798825903, 55271729390, 55746072211, 56221852615, 56699085195, 57177735756, 57657799076, 58139288876, 58622180871, 59106541115, 59592317267, 60079541709, 60568114918, 61058116169, 61549485100, 62042267279, 62536437139, 63032035621, 63528960404, 64027331486, 64527059051] + +Built regression model! +Model info: + r^2: 0.9999999999849248 + p-value: 0 + intercept: -4.75496679758168 + slope: 1.550987905712697 +Fractal dimension: 1.550987905712697 diff --git a/fractal_dimension/circle_counting_new/output2e8/prisms/pentagonal_prism.txt b/fractal_dimension/circle_counting_new/output2e8/prisms/pentagonal_prism.txt new file mode 100644 index 0000000..53f61ac --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/prisms/pentagonal_prism.txt @@ -0,0 +1,27 @@ +Counting circles +10% 533m 30.39761826600079s remaining +20% 474m 13.911281076001615s remaining +30% 414m 28.605753916999674s remaining +40% 355m 24.67265037299876s remaining +50% 296m 16.192275604000315s remaining +60% 237m 3.8642561180004122s remaining +70% 177m 49.6155117899998s remaining +80% 118m 33.89007564300027s remaining +90% 59m 17.021589612999833s remaining + +Took 592m 50.10217448000185s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[16885197120, 17138824235, 17393723821, 17649901260, 17907367009, 18166046969, 18426021053, 18687211241, 18949679717, 19213390699, 19478303186, 19744471614, 20011832671, 20280389150, 20550230112, 20821256552, 21093478163, 21366883082, 21641458934, 21917240335, 22194220542, 22472352615, 22751712405, 23032167650, 23313821813, 23596658848, 23880620518, 24165722163, 24451996466, 24739415552, 25027957177, 25317607574, 25608438752, 25900342454, 26193373243, 26487526413, 26782825658, 27079220258, 27376711399, 27675304723, 27974999622, 28275786897, 28577645023, 28880598582, 29184609832, 29489715611, 29795889397, 30103167766, 30411490747, 30720870678, 31031291460, 31342789423, 31655307278, 31968944016, 32283599146, 32599282051, 32916031076, 33233848340, 33552650641, 33872461934, 34193341349, 34515228148, 34838171655, 35162141338, 35487073410, 35813029779, 36140007253, 36467970902, 36796945363, 37126908326, 37457869400, 37789796701, 38122752080, 38456708072, 38791667517, 39127610863, 39464562256, 39802435684, 40141318509, 40481140424, 40821958508, 41163704511, 41506434463, 41850141400, 42194811059, 42540417150, 42886967813, 43234491450, 43582963743, 43932386115, 44282782647, 44634142290, 44986401400, 45339578149, 45693671879, 46048749556, 46404733372, 46761636769, 47119547458, 47478300578] + +Built regression model! +Model info: + r^2: 0.9999999999907452 + p-value: 0 + intercept: -4.3400694388108505 + slope: 1.5132293845346172 +Fractal dimension: 1.5132293845346172 diff --git a/fractal_dimension/circle_counting_new/output2e8/prisms/triangular_prism.txt b/fractal_dimension/circle_counting_new/output2e8/prisms/triangular_prism.txt new file mode 100644 index 0000000..3059b78 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/prisms/triangular_prism.txt @@ -0,0 +1,23 @@ +Counting circles +17% 111m 17.512935939999807s remaining +33% 89m 8.958423232000314s remaining +50% 66m 50.75204445700001s remaining +67% 44m 33.500940696999805s remaining +83% 22m 16.591265308999937s remaining + +Took 133m 39.38064417100031s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[6192229641, 6278664113, 6365422295, 6452502844, 6539923507, 6627697478, 6715813163, 6804250898, 6893042425, 6982170174, 7071621838, 7161390162, 7251457561, 7341862564, 7432626967, 7523694906, 7615111240, 7706837508, 7798857660, 7891201252, 7983859176, 8076830084, 8170133505, 8263718614, 8357612683, 8451819556, 8546312567, 8641115782, 8736230839, 8831646093, 8927332799, 9023330122, 9119609132, 9216187738, 9313073315, 9410279942, 9507746258, 9605506681, 9703562529, 9801918432, 9900532503, 9999426832, 10098624654, 10198111750, 10297878988, 10397916470, 10498267788, 10598874680, 10699766816, 10800919813, 10902368482, 11004072040, 11106051246, 11208285647, 11310776042, 11413572688, 11516631369, 11619941467, 11723548651, 11827396296, 11931508502, 12035913110, 12140557232, 12245450899, 12350612081, 12456026772, 12561698675, 12667641128, 12773802852, 12880239070, 12986941600, 13093917644, 13201126406, 13308598796, 13416292335, 13524249656, 13632449420, 13740917357, 13849646094, 13958630854, 14067823101, 14177298097, 14286987210, 14396937126, 14507112023, 14617525028, 14728188285, 14839077438, 14950203987, 15061606231, 15173211455, 15285088759, 15397206119, 15509557271, 15622149323, 15734935240, 15847974599, 15961251112, 16074743739, 16188512821] + +Built regression model! +Model info: + r^2: 0.9999999997120032 + p-value: 0 + intercept: -3.378790435158038 + slope: 1.4066442521888336 +Fractal dimension: 1.4066442521888336 diff --git a/fractal_dimension/circle_counting_new/output2e8/pyramids/decagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output2e8/pyramids/decagonal_pyramid.txt new file mode 100644 index 0000000..56bab36 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/pyramids/decagonal_pyramid.txt @@ -0,0 +1,28 @@ +Counting circles +9% 283m 40.466474248998566s remaining +18% 142m 58.152757624000515s remaining +27% 94m 1.1302918660003343s remaining +36% 67m 50.68942785499985s remaining +45% 50m 41.4865982299998s remaining +55% 38m 1.4298817529997905s remaining +64% 27m 56.783170673000086s remaining +73% 19m 32.164966508999896s remaining +82% 12m 16.76071785099998s remaining +91% 5m 50.76222895799998s remaining + +Took 61m 45.530500948999816s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[1231101778, 1247309924, 1263570177, 1279882575, 1296242436, 1312656086, 1329119952, 1345633618, 1362199275, 1378818140, 1395482442, 1412190603, 1428946953, 1445755217, 1462617411, 1479521424, 1496478977, 1513486479, 1530534456, 1547627594, 1564771831, 1581961029, 1599192931, 1616479589, 1633799116, 1651177087, 1668595379, 1686059281, 1703569799, 1721123612, 1738721007, 1756362787, 1774043856, 1791779597, 1809549568, 1827368155, 1845223278, 1863128259, 1881065962, 1899051650, 1917079229, 1935156781, 1953275402, 1971425382, 1989625661, 2007856005, 2026134620, 2044455289, 2062812421, 2081206461, 2099642822, 2118126076, 2136644122, 2155206254, 2173802308, 2192441669, 2211118412, 2229833205, 2248590609, 2267382124, 2286214273, 2305084826, 2323991238, 2342947086, 2361935801, 2380953211, 2400011664, 2419112096, 2438246243, 2457415603, 2476626546, 2495868791, 2515146004, 2534467712, 2553823527, 2573216114, 2592637719, 2612097151, 2631601073, 2651124128, 2670695716, 2690295605, 2709928885, 2729610341, 2749315050, 2769067124, 2788841495, 2808654927, 2828500743, 2848384196, 2868297060, 2888256058, 2908248678, 2928271713, 2948326756, 2968414968, 2988531873, 3008690208, 3028874199, 3049097774] + +Built regression model! +Model info: + r^2: 0.999999999683157 + p-value: 0 + intercept: -3.535507887045778 + slope: 1.3275007876289726 +Fractal dimension: 1.3275007876289726 diff --git a/fractal_dimension/circle_counting_new/output2e8/pyramids/heptagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output2e8/pyramids/heptagonal_pyramid.txt new file mode 100644 index 0000000..4efaf02 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/pyramids/heptagonal_pyramid.txt @@ -0,0 +1,25 @@ +Counting circles +13% 175m 8.481105184999251s remaining +25% 89m 26.798432634000164s remaining +38% 57m 41.08471639800018s remaining +50% 39m 24.446287761999884s remaining +63% 26m 31.244314568999926s remaining +75% 16m 19.900654213000053s remaining +88% 7m 41.042992648999984s remaining + +Took 58m 34.96788144899983s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[1635695724, 1657358590, 1679096690, 1700903091, 1722779956, 1744722425, 1766734776, 1788817321, 1810975437, 1833189838, 1855487701, 1877839843, 1900272490, 1922760205, 1945319925, 1967935349, 1990626432, 2013382841, 2036205944, 2059084118, 2082026237, 2105035743, 2128104745, 2151245253, 2174445361, 2197701421, 2221029312, 2244406701, 2267854905, 2291362169, 2314926945, 2338553827, 2362244734, 2385992673, 2409794326, 2433664169, 2457592492, 2481575884, 2505616247, 2529724944, 2553879644, 2578098489, 2602376981, 2626707759, 2651098368, 2675545582, 2700040561, 2724594419, 2749204620, 2773873552, 2798598545, 2823381768, 2848210446, 2873101939, 2898043037, 2923038224, 2948085110, 2973180196, 2998331614, 3023543582, 3048812089, 3074131036, 3099500312, 3124914135, 3150379542, 3175902744, 3201469915, 3227092734, 3252768542, 3278499033, 3304275910, 3330108898, 3355986023, 3381916836, 3407901491, 3433929954, 3460011481, 3486147416, 3512328465, 3538552827, 3564831652, 3591154103, 3617527339, 3643955433, 3670432304, 3696949399, 3723517098, 3750128568, 3776785721, 3803498232, 3830261743, 3857060742, 3883908945, 3910800908, 3937750286, 3964746620, 3991783577, 4018868477, 4045997170, 4073171371] + +Built regression model! +Model info: + r^2: 0.9999999999239123 + p-value: 0 + intercept: -3.397100733555348 + slope: 1.335409372527209 +Fractal dimension: 1.335409372527209 diff --git a/fractal_dimension/circle_counting_new/output2e8/pyramids/hexagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output2e8/pyramids/hexagonal_pyramid.txt new file mode 100644 index 0000000..0c7cceb --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/pyramids/hexagonal_pyramid.txt @@ -0,0 +1,24 @@ +Counting circles +14% 146m 12.220246188000601s remaining +29% 75m 38.222876361999624s remaining +43% 48m 11.092095406000226s remaining +57% 31m 30.908537614999887s remaining +71% 19m 9.71654753200005s remaining +86% 8m 57.93895759199995s remaining + +Took 59m 41.11326937400008s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[1914975558, 1940393763, 1965891850, 1991479657, 2017146093, 2042903218, 2068732772, 2094643942, 2120642494, 2146721397, 2172877422, 2199117218, 2225432237, 2251817376, 2278295675, 2304843641, 2331463887, 2358172740, 2384956389, 2411816292, 2438749858, 2465767544, 2492853595, 2520015575, 2547238085, 2574533825, 2601914074, 2629375804, 2656899015, 2684494934, 2712159455, 2739895484, 2767706622, 2795589026, 2823533989, 2851567190, 2879662480, 2907825991, 2936052982, 2964363992, 2992744831, 3021179472, 3049679619, 3078254889, 3106900694, 3135605424, 3164386762, 3193228044, 3222133687, 3251097117, 3280131047, 3309235306, 3338402088, 3367635100, 3396931185, 3426299254, 3455720399, 3485205861, 3514754263, 3544357015, 3574032559, 3603771796, 3633574696, 3663439176, 3693359917, 3723345049, 3753395835, 3783506944, 3813673496, 3843900379, 3874191540, 3904535225, 3934942404, 3965402272, 3995937989, 4026525266, 4057157706, 4087861246, 4118614718, 4149450392, 4180314336, 4211250126, 4242253608, 4273309610, 4304415595, 4335585677, 4366809237, 4398082432, 4429418280, 4460807454, 4492257869, 4523759291, 4555316305, 4586931967, 4618604719, 4650326469, 4682106470, 4713935183, 4745825221, 4777765984] + +Built regression model! +Model info: + r^2: 0.9999999999087985 + p-value: 0 + intercept: -3.2911039317216826 + slope: 1.338211328260098 +Fractal dimension: 1.338211328260098 diff --git a/fractal_dimension/circle_counting_new/output2e8/pyramids/nonagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output2e8/pyramids/nonagonal_pyramid.txt new file mode 100644 index 0000000..9d2aae4 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/pyramids/nonagonal_pyramid.txt @@ -0,0 +1,27 @@ +Counting circles +10% 244m 10.743517938000878s remaining +20% 123m 22.086866724000174s remaining +30% 80m 44.39892984299968s remaining +40% 57m 34.35148305599978s remaining +50% 42m 8.202395719999913s remaining +60% 30m 33.59577650699998s remaining +70% 21m 12.481040854999947s remaining +80% 13m 16.385720609000032s remaining +90% 6m 18.02384973300002s remaining + +Took 60m 21.348938735000047s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[1324204916, 1341663806, 1359179752, 1376755063, 1394384287, 1412065419, 1429808514, 1447608743, 1465459503, 1483370374, 1501339351, 1519353014, 1537421745, 1555539805, 1573709516, 1591934915, 1610213357, 1628545411, 1646921213, 1665353364, 1683838708, 1702372541, 1720952032, 1739579338, 1758257793, 1776986940, 1795772362, 1814599335, 1833484717, 1852410171, 1871381868, 1890410010, 1909473452, 1928587852, 1947743519, 1966943575, 1986204686, 2005510242, 2024856840, 2044254607, 2063693452, 2083181706, 2102718224, 2122291401, 2141907962, 2161577015, 2181293824, 2201050214, 2220843970, 2240693153, 2260584451, 2280513787, 2300496817, 2320507506, 2340563352, 2360664415, 2380815249, 2400998346, 2421228192, 2441500718, 2461814878, 2482168363, 2502565113, 2523001803, 2543473087, 2563987832, 2584549228, 2605150987, 2625796743, 2646486438, 2667206659, 2687966255, 2708764068, 2729615007, 2750497204, 2771415076, 2792375583, 2813371199, 2834413044, 2855487402, 2876601152, 2897753774, 2918946056, 2940175689, 2961439949, 2982747284, 3004096727, 3025483291, 3046898773, 3068365468, 3089862897, 3111388757, 3132962574, 3154567732, 3176217729, 3197899454, 3219619210, 3241374929, 3263162828, 3284982526] + +Built regression model! +Model info: + r^2: 0.9999999998006288 + p-value: 0 + intercept: -3.5059656209415166 + slope: 1.32985346035568 +Fractal dimension: 1.32985346035568 diff --git a/fractal_dimension/circle_counting_new/output2e8/pyramids/octagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output2e8/pyramids/octagonal_pyramid.txt new file mode 100644 index 0000000..34bd7f4 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/pyramids/octagonal_pyramid.txt @@ -0,0 +1,26 @@ +Counting circles +11% 207m 8.061245287999554s remaining +22% 105m 1.7669009749997713s remaining +33% 68m 17.374792075000187s remaining +44% 47m 51.553518866000104s remaining +56% 33m 56.283127079999986s remaining +67% 23m 16.104079963999993s remaining +78% 14m 27.943627545000027s remaining +89% 6m 50.36824996399997s remaining + +Took 58m 48.70310563300018s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[1452032221, 1471221373, 1490476755, 1509789642, 1529165382, 1548600475, 1568095684, 1587654425, 1607266607, 1626944312, 1646686991, 1666484616, 1686346228, 1706257625, 1726235194, 1746276104, 1766357159, 1786505925, 1806715229, 1826977611, 1847291055, 1867663897, 1888086819, 1908572045, 1929109921, 1949694999, 1970340028, 1991038190, 2011791515, 2032591151, 2053456112, 2074367948, 2095333988, 2116351726, 2137420249, 2158540245, 2179714425, 2200947697, 2222221883, 2243550127, 2264930441, 2286359768, 2307845857, 2329372447, 2350952756, 2372579354, 2394259724, 2415987631, 2437763654, 2459592151, 2481472095, 2503390175, 2525358050, 2547368531, 2569433797, 2591539966, 2613701864, 2635902380, 2658156207, 2680465296, 2702815608, 2725219060, 2747657722, 2770151189, 2792685407, 2815258934, 2837879329, 2860549121, 2883256869, 2906013754, 2928813619, 2951662070, 2974552358, 2997482858, 3020464266, 3043481520, 3066538869, 3089649190, 3112808044, 3135999449, 3159239324, 3182530555, 3205842138, 3229209385, 3252619432, 3276063452, 3299556458, 3323089883, 3346663235, 3370289317, 3393948928, 3417647141, 3441387427, 3465174497, 3488996576, 3512853468, 3536755294, 3560699852, 3584675752, 3608700482] + +Built regression model! +Model info: + r^2: 0.9999999997072353 + p-value: 0 + intercept: -3.4631332147900338 + slope: 1.3325296814480614 +Fractal dimension: 1.3325296814480614 diff --git a/fractal_dimension/circle_counting_new/output2e8/pyramids/pentagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output2e8/pyramids/pentagonal_pyramid.txt new file mode 100644 index 0000000..873b287 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/pyramids/pentagonal_pyramid.txt @@ -0,0 +1,23 @@ +Counting circles +17% 119m 10.824477529999967s remaining +33% 63m 15.431720271999893s remaining +50% 39m 25.145483643999796s remaining +67% 23m 36.255277694999904s remaining +83% 10m 59.96229739299997s remaining + +Took 62m 47.270604162999916s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[2370651805, 2402148015, 2433755887, 2465470597, 2497285090, 2529210925, 2561225585, 2593342762, 2625561531, 2657872013, 2690292181, 2722802203, 2755422443, 2788138765, 2820953448, 2853866726, 2886868323, 2919971782, 2953162917, 2986466991, 3019859495, 3053343851, 3086923305, 3120590643, 3154350777, 3188208210, 3222155568, 3256199902, 3290317062, 3324519039, 3358824010, 3393213018, 3427691705, 3462265460, 3496928746, 3531656985, 3566484466, 3601394718, 3636395724, 3671500138, 3706674412, 3741930062, 3777270936, 3812704767, 3848216808, 3883814071, 3919497554, 3955257905, 3991101199, 4027028235, 4063033549, 4099125663, 4135288186, 4171541968, 4207869270, 4244268234, 4280751879, 4317314007, 4353965640, 4390694949, 4427482231, 4464358321, 4501314018, 4538342665, 4575452773, 4612652193, 4649919143, 4687259063, 4724674206, 4762167543, 4799732727, 4837367626, 4875084998, 4912872768, 4950732748, 4988674353, 5026686305, 5064774000, 5102930064, 5141160391, 5179471803, 5217839721, 5256283388, 5294800643, 5333369049, 5372026724, 5410761385, 5449558730, 5488435644, 5527361806, 5566359175, 5605438050, 5644586275, 5683799336, 5723077025, 5762432669, 5801846673, 5841336924, 5880895288, 5920515537] + +Built regression model! +Model info: + r^2: 0.9999999998687636 + p-value: 0 + intercept: -3.1043535868215173 + slope: 1.3396606873051315 +Fractal dimension: 1.3396606873051315 diff --git a/fractal_dimension/circle_counting_new/output2e8/pyramids/square_pyramid.txt b/fractal_dimension/circle_counting_new/output2e8/pyramids/square_pyramid.txt new file mode 100644 index 0000000..2580096 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/pyramids/square_pyramid.txt @@ -0,0 +1,22 @@ +Counting circles +20% 90m 43.358338459999686s remaining +40% 51m 1.8442311959997824s remaining +60% 30m 14.467398157999924s remaining +80% 14m 11.106545524000012s remaining + +Took 68m 4.8515196809999s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[3172526324, 3214534378, 3256678194, 3298951068, 3341376765, 3383915954, 3426591172, 3469438294, 3512398865, 3555478052, 3598689513, 3642055038, 3685532460, 3729137289, 3772870977, 3816760654, 3860770709, 3904903603, 3949151087, 3993541143, 4038052280, 4082682853, 4127439119, 4172309390, 4217318726, 4262437643, 4307672116, 4353032612, 4398519041, 4444097806, 4489806402, 4535625713, 4581565873, 4627631772, 4673794738, 4720066525, 4766479485, 4812996608, 4859606624, 4906338417, 4953194403, 5000149284, 5047224189, 5094403121, 5141670963, 5189077622, 5236588306, 5284195711, 5331923224, 5379740586, 5427690008, 5475731552, 5523897643, 5572159567, 5620523161, 5668999585, 5717584360, 5766264815, 5815075516, 5863948209, 5912932142, 5962022065, 6011232446, 6060517883, 6109918431, 6159403645, 6209001306, 6258707211, 6308488119, 6358393961, 6408386924, 6458487739, 6508692743, 6558983105, 6609375089, 6659880704, 6710446389, 6761126028, 6811910050, 6862762582, 6913728828, 6964800433, 7015961011, 7067209563, 7118527828, 7169946559, 7221473659, 7273084832, 7324789446, 7376588177, 7428473090, 7480456244, 7532514480, 7584679325, 7636938651, 7689281450, 7741707409, 7794234425, 7846838168, 7899540365] + +Built regression model! +Model info: + r^2: 0.9999999991368778 + p-value: 0 + intercept: -2.733014095533605 + slope: 1.3353200948052961 +Fractal dimension: 1.3353200948052961 diff --git a/fractal_dimension/circle_counting_new/output2e8/rhombic/rhombic_dodecahedron.txt b/fractal_dimension/circle_counting_new/output2e8/rhombic/rhombic_dodecahedron.txt new file mode 100644 index 0000000..473d01f --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/rhombic/rhombic_dodecahedron.txt @@ -0,0 +1,31 @@ +Counting circles +7% 259m 24.7653426199995s remaining +14% 239m 22.688101192999966s remaining +21% 219m 22.148156380000728s remaining +29% 199m 23.756393581999873s remaining +36% 225m 36.10912588899919s remaining +43% 228m 14.536918433999745s remaining +50% 219m 12.504473606000829s remaining +57% 200m 25.41744723299962s remaining +64% 160m 7.6472895170009s remaining +71% 123m 41.135026205999566s remaining +79% 90m 3.2469241720000355s remaining +86% 63m 1.8048721390000537s remaining +93% 30m 42.310187700999904s remaining + +Took 447m 8.789613637000002s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[7481420997, 7592047309, 7703145971, 7814815216, 7927004414, 8039697079, 8152914170, 8266648102, 8380923316, 8495702786, 8611001959, 8726799836, 8843085314, 8959907604, 9077220616, 9195033444, 9313351684, 9432164709, 9551494236, 9671296453, 9791587252, 9912363929, 10033596366, 10155337806, 10277555868, 10400262299, 10523458726, 10647156980, 10771273886, 10895883498, 11020967175, 11146503440, 11272503436, 11398972850, 11525909029, 11653310190, 11781168441, 11909480403, 12038233058, 12167457689, 12297146591, 12427248725, 12557815964, 12688809826, 12820283762, 12952201226, 13084574118, 13217373794, 13350638887, 13484314830, 13618439686, 13752974035, 13887966972, 14023365382, 14159211469, 14295473629, 14432195327, 14569304439, 14706893043, 14844874206, 14983270334, 15122105770, 15261343423, 15400988789, 15541105479, 15681618665, 15822530978, 15963882060, 16105650259, 16247805880, 16390350816, 16533329257, 16676697567, 16820480476, 16964647953, 17109239973, 17254224885, 17399644638, 17545435143, 17691623374, 17838212987, 17985221020, 18132613669, 18280384061, 18428529061, 18577098952, 18726065952, 18875410265, 19025148102, 19175270924, 19325771890, 19476676948, 19627966670, 19779655588, 19931708611, 20084119928, 20236940429, 20390138678, 20543718465, 20697644070] + +Built regression model! +Model info: + r^2: 0.9999999999553891 + p-value: 0 + intercept: -4.716184211008077 + slope: 1.4894699061375234 +Fractal dimension: 1.4894699061375234 diff --git a/fractal_dimension/circle_counting_new/output2e8/rhombic/rhombic_triacontahedron.txt b/fractal_dimension/circle_counting_new/output2e8/rhombic/rhombic_triacontahedron.txt new file mode 100644 index 0000000..d08ccb5 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output2e8/rhombic/rhombic_triacontahedron.txt @@ -0,0 +1,49 @@ +Counting circles +3% 1158m 8.425571200001286s remaining +6% 1100m 49.20436071000586s remaining +9% 1051m 12.191806652997911s remaining +13% 1000m 17.506885909999255s remaining +16% 972m 32.587813047000964s remaining +19% 941m 40.07538685900363s remaining +22% 898m 18.554969857003016s remaining +25% 857m 14.71029393599747s remaining +28% 822m 33.07590449199779s remaining +31% 785m 57.64543150499958s remaining +34% 751m 28.404509065003367s remaining +38% 715m 25.616734734998317s remaining +41% 641m 58.06848836899735s remaining +44% 577m 5.343797686000471s remaining +47% 520m 10.096985702999518s remaining +50% 468m 29.798805698999786s remaining +53% 422m 41.67146906799826s remaining +56% 380m 36.82620850699823s remaining +59% 341m 8.506206912999914s remaining +63% 304m 34.984953794999456s remaining +66% 271m 8.662679226999899s remaining +69% 239m 50.15202791900083s remaining +72% 210m 11.889943195999876s remaining +75% 182m 13.927877778000038s remaining +78% 155m 57.52994231299999s remaining +81% 130m 52.59565546799968s remaining +84% 106m 58.23208808599975s remaining +88% 83m 57.22145360200011s remaining +91% 61m 47.36156503099983s remaining +94% 40m 26.30575526199982s remaining +97% 19m 52.22969454899999s remaining + +Took 625m 10.24910330500279s to count circles + +Done counting circles! +sample points: +[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0] + +number of circles fewer than each of those sample points: +[4166631675, 4228650991, 4290991359, 4353639578, 4416588064, 4479837411, 4543368427, 4607195465, 4671331057, 4735762226, 4800482198, 4865498817, 4930803805, 4996397052, 5062283425, 5128454252, 5194920201, 5261653023, 5328679499, 5395995882, 5463580551, 5531446904, 5599590172, 5668025857, 5736711072, 5805691541, 5874941320, 5944458567, 6014252172, 6084339215, 6154675642, 6225285117, 6296156217, 6367300132, 6438703040, 6510366969, 6582302380, 6654510316, 6726972880, 6799702092, 6872683386, 6945925965, 7019417638, 7093169233, 7167186628, 7241449030, 7315990553, 7390775662, 7465807335, 7541096844, 7616631170, 7692429690, 7768482128, 7844772489, 7921297107, 7998072964, 8075104573, 8152392445, 8229926061, 8307693652, 8385707074, 8463963816, 8542463881, 8621193295, 8700166347, 8779384376, 8858833394, 8938525079, 9018452064, 9098608173, 9179005354, 9259644402, 9340522817, 9421634399, 9502979967, 9584547470, 9666358765, 9748388899, 9830645974, 9913149589, 9995882511, 10078831385, 10162011332, 10245420377, 10329052849, 10412917305, 10497011179, 10581334492, 10665869038, 10750637858, 10835626878, 10920821360, 11006257421, 11091917698, 11177787046, 11263895026, 11350213594, 11436750838, 11523506720, 11610484976] + +Built regression model! +Model info: + r^2: 0.9999999997268594 + p-value: 0 + intercept: -5.495846075569496 + slope: 1.5000142229928692 +Fractal dimension: 1.5000142229928692 diff --git a/fractal_dimension/circle_counting_new/output3e8/antiprisms/decagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output3e8/antiprisms/decagonal_antiprism.txt new file mode 100644 index 0000000..6db3c0d --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/antiprisms/decagonal_antiprism.txt @@ -0,0 +1,37 @@ +Counting circles +5% 2240m 11.639150163013255s remaining +10% 2056m 2.711242208999465s remaining +15% 1866m 10.680007479997585s remaining +20% 1671m 37.597241544004646s remaining +25% 1484m 44.789018964002025s remaining +30% 1327m 53.47922635200666s remaining +35% 1204m 48.44583769699966s remaining +40% 1108m 40.828545711003244s remaining +45% 1028m 11.365222982996784s remaining +50% 951m 28.146293844001775s remaining +55% 867m 36.33034708500054s remaining +60% 773m 14.71913029999996s remaining +65% 671m 41.53614524099976s remaining +70% 568m 5.226213788999303s remaining +75% 466m 25.052736781999556s remaining +80% 368m 49.526271393999195s remaining +85% 275m 14.582176239000546s remaining +90% 184m 1.0652339499993104s remaining +95% 92m 48.64590186799978s remaining + +Took 1875m 44.83697245499934s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[17680509297, 17932366995, 18185269538, 18439253787, 18694268635, 18950325083, 19207469488, 19465649952, 19724859289, 19985161493, 20246452339, 20508762248, 20772099928, 21036418305, 21301773832, 21568133620, 21835520739, 22103905859, 22373274597, 22643618566, 22914970107, 23187299606, 23460601162, 23734854664, 24010056747, 24286263060, 24563423548, 24841556454, 25120605931, 25400601650, 25681532528, 25963422849, 26246218646, 26529971357, 26814637293, 27100194063, 27386644505, 27674063138, 27962346287, 28251555140, 28541654980, 28832683436, 29124629580, 29417407208, 29711082984, 30005608528, 30301068241, 30597391925, 30894602778, 31192681533, 31491587261, 31791374370, 32092016570, 32393503151, 32695871194, 32999057203, 33303128929, 33608019957, 33913763610, 34220341549, 34527771375, 34836013972, 35145085308, 35454977867, 35765711599, 36077244536, 36389599087, 36702805184, 37016804279, 37331613826, 37647224155, 37963636909, 38280882367, 38598914167, 38917733202, 39237337552, 39557740432, 39878952240, 40200925127, 40523644618, 40847167664, 41171464377, 41496566633, 41822468290, 42149142596, 42476603154, 42804793522, 43133725220, 43463425888, 43793882637, 44125096193, 44457096608, 44789842633, 45123332239, 45457598166, 45792593405, 46128325239, 46464801020, 46802034561, 47139976083] + +Built regression model! +Model info: + r^2: 0.9999999999444844 + p-value: 0 + intercept: -3.4415554277016724 + slope: 1.4353973351004388 +Fractal dimension: 1.4353973351004388 diff --git a/fractal_dimension/circle_counting_new/output3e8/antiprisms/heptagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output3e8/antiprisms/heptagonal_antiprism.txt new file mode 100644 index 0000000..854a204 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/antiprisms/heptagonal_antiprism.txt @@ -0,0 +1,31 @@ +Counting circles +7% 1135m 9.926182441005949s remaining +14% 1034m 25.28348978899885s remaining +21% 932m 39.253290662003565s remaining +29% 836m 29.055682573998638s remaining +36% 748m 31.470741826997255s remaining +43% 666m 46.81866768900363s remaining +50% 587m 0.7718115210009273s remaining +57% 505m 6.733309021001332s remaining +64% 420m 33.23428715800037s remaining +71% 335m 13.976302833001682s remaining +79% 250m 29.873847216000286s remaining +86% 166m 51.93625493199943s remaining +93% 83m 37.0716591700002s remaining + +Took 1174m 35.64677003599354s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[14889876039, 15099812014, 15310634715, 15522302251, 15734850515, 15948249429, 16162503908, 16377616595, 16593532392, 16810307068, 17027904440, 17246336405, 17465579338, 17685682572, 17906567151, 18128275083, 18350785491, 18574122012, 18798230053, 19023137516, 19248809954, 19475296904, 19702566267, 19930596573, 20159409458, 20389017583, 20619365698, 20850487070, 21082365749, 21315000132, 21548399845, 21782552493, 22017447523, 22253096560, 22489487092, 22726603498, 22964458143, 23203049315, 23442368768, 23682425687, 23923221108, 24164736190, 24406962694, 24649893032, 24893538398, 25137900634, 25382973623, 25628726835, 25875181943, 26122326405, 26370156311, 26618700897, 26867945078, 27117835723, 27368448287, 27619714392, 27871669514, 28124310484, 28377591342, 28631580958, 28886244053, 29141548773, 29397526852, 29654181810, 29911475660, 30169437991, 30428055912, 30687330025, 30947251068, 31207827482, 31469063164, 31730909525, 31993404352, 32256538966, 32520359488, 32784802261, 33049881472, 33315588879, 33581894230, 33848810009, 34116371935, 34384582980, 34653388122, 34922858545, 35192917626, 35463589914, 35734877081, 36006799086, 36279323623, 36552443330, 36826155408, 37100462163, 37375390673, 37650907107, 37927045543, 38203723722, 38481035821, 38758950068, 39037438467, 39316517489] + +Built regression model! +Model info: + r^2: 0.9999999999755962 + p-value: 0 + intercept: -3.346087144488223 + slope: 1.4212091278292471 +Fractal dimension: 1.4212091278292471 diff --git a/fractal_dimension/circle_counting_new/output3e8/antiprisms/hexagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output3e8/antiprisms/hexagonal_antiprism.txt new file mode 100644 index 0000000..5b7fa50 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/antiprisms/hexagonal_antiprism.txt @@ -0,0 +1,29 @@ +Counting circles +8% 845m 49.31717456699698s remaining +17% 745m 5.969318549003219s remaining +25% 660m 37.87789952100138s remaining +33% 574m 51.12267765800061s remaining +42% 496m 59.10667502299839s remaining +50% 423m 20.013562385000114s remaining +58% 351m 3.918930987998465s remaining +67% 279m 18.63194525400104s remaining +75% 208m 23.06563526299942s remaining +83% 138m 24.75885692600059s remaining +92% 69m 5.33361112700004s remaining + +Took 828m 30.039202441003s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[13451271838, 13639811737, 13829087314, 14019130188, 14209931934, 14401486031, 14593792558, 14786825211, 14980611109, 15175131327, 15370362749, 15566298104, 15762985675, 15960422226, 16158544783, 16357392697, 16556961122, 16757226304, 16958186038, 17159854810, 17362182099, 17565237259, 17768967565, 17973378232, 18178468988, 18384246259, 18590685504, 18797815377, 19005613063, 19214068289, 19423198276, 19633004293, 19843445119, 20054548925, 20266286415, 20478713145, 20691750394, 20905446380, 21119760102, 21334701511, 21550270481, 21766516781, 21983351231, 22200832607, 22418937269, 22637633001, 22856986194, 23076953502, 23297531439, 23518717198, 23740512052, 23962929369, 24185955338, 24409559540, 24633775859, 24858586192, 25084008452, 25310002444, 25536571603, 25763722776, 25991488113, 26219844810, 26448758701, 26678260881, 26908328048, 27138996672, 27370225936, 27602027510, 27834423389, 28067382388, 28300880075, 28534943137, 28769601622, 29004820732, 29240575685, 29476883007, 29713761906, 29951195604, 30189190701, 30427680920, 30666763336, 30906377904, 31146516333, 31387216787, 31628477852, 31870261080, 32112592848, 32355456065, 32598851730, 32842766556, 33087222870, 33332228839, 33577718342, 33823742509, 34070296930, 34317390627, 34565013312, 34813147300, 35061789655, 35310966170] + +Built regression model! +Model info: + r^2: 0.999999999978966 + p-value: 0 + intercept: -3.2864924460949467 + slope: 1.4126510265196899 +Fractal dimension: 1.4126510265196899 diff --git a/fractal_dimension/circle_counting_new/output3e8/antiprisms/nonagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output3e8/antiprisms/nonagonal_antiprism.txt new file mode 100644 index 0000000..4a884ea --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/antiprisms/nonagonal_antiprism.txt @@ -0,0 +1,35 @@ +Counting circles +6% 120m 58.5313285809998s remaining +11% 113m 54.55615708799996s remaining +17% 109m 56.728226449999966s remaining +22% 107m 41.580155505999755s remaining +28% 105m 15.89257896700019s remaining +33% 101m 10.161445124000238s remaining +39% 94m 47.29975631999969s remaining +44% 86m 24.409037162999994s remaining +50% 76m 54.25746052199975s remaining +56% 64m 5.058415071000127s remaining +61% 53m 6.641809299000215s remaining +67% 43m 35.74847281099983s remaining +72% 35m 7.895465711999805s remaining +78% 27m 21.427361626999982s remaining +83% 20m 1.9367510479999055s remaining +89% 13m 2.362531143999945s remaining +94% 6m 21.361455594999995s remaining + +Took 111m 24.52447550099987s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[1122442588, 1138391644, 1154413355, 1170492755, 1186651825, 1202874396, 1219164373, 1235503134, 1251911560, 1268376915, 1284922193, 1301530793, 1318189667, 1334935060, 1351736603, 1368586105, 1385513259, 1402518976, 1419567517, 1436680882, 1453855709, 1471096444, 1488368515, 1505734625, 1523143249, 1540611645, 1558144946, 1575740181, 1593393827, 1611106845, 1628891220, 1646737499, 1664615380, 1682566152, 1700576573, 1718632457, 1736754096, 1754950029, 1773180317, 1791469665, 1809800386, 1828213784, 1846667434, 1865174887, 1883755547, 1902388706, 1921068544, 1939814974, 1958614558, 1977459505, 1996367814, 2015325650, 2034323182, 2053368718, 2072473972, 2091637604, 2110880772, 2130160518, 2149488343, 2168865887, 2188305152, 2207789644, 2227329845, 2246940177, 2266582768, 2286269824, 2306006618, 2325803761, 2345646804, 2365521936, 2385462260, 2405483009, 2425531089, 2445634748, 2465791228, 2485976142, 2506226110, 2526521622, 2546872598, 2567271068, 2587723876, 2608210151, 2628735443, 2649329539, 2669965000, 2690653352, 2711365307, 2732148308, 2752984153, 2773863530, 2794776977, 2815754775, 2836774149, 2857830378, 2878930760, 2900093179, 2921319053, 2942577746, 2963887625, 2985223666] + +Built regression model! +Model info: + r^2: 0.9999999989893736 + p-value: 0 + intercept: -6.129266204260862 + slope: 1.4317228215863411 +Fractal dimension: 1.4317228215863411 diff --git a/fractal_dimension/circle_counting_new/output3e8/antiprisms/octagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output3e8/antiprisms/octagonal_antiprism.txt new file mode 100644 index 0000000..16dc420 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/antiprisms/octagonal_antiprism.txt @@ -0,0 +1,33 @@ +Counting circles +6% 1287m 25.176227354997536s remaining +13% 1182m 52.8738826589979s remaining +19% 1109m 23.860956089993124s remaining +25% 1014m 6.694708351998997s remaining +31% 922m 27.569158375998086s remaining +38% 840m 40.4311498629977s remaining +44% 765m 40.38823160299944s remaining +50% 691m 17.190074990998255s remaining +56% 611m 34.01075336000213s remaining +63% 525m 36.78515617299854s remaining +69% 436m 21.95969880100165s remaining +75% 347m 0.5663770819992351s remaining +81% 259m 19.495936397999685s remaining +88% 173m 6.5233196490007685s remaining +94% 87m 2.560251701999732s remaining + +Took 1402m 17.30585405099555s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[16020504050, 16247401170, 16475225579, 16704001805, 16933706753, 17164361418, 17395952752, 17628448383, 17861862164, 18096202302, 18331463196, 18567628283, 18804681585, 19042669318, 19281546646, 19521277150, 19761905946, 20003430672, 20245809164, 20489055375, 20733205665, 20978176324, 21224071562, 21470766781, 21718340739, 21966769460, 22216046653, 22466129973, 22717045892, 22968802988, 23221377835, 23474794745, 23729062136, 23984124109, 24240021547, 24496711758, 24754221898, 25012529027, 25271638628, 25531557629, 25792250998, 26053727200, 26315978425, 26579012741, 26842837894, 27107467607, 27372877119, 27639052979, 27905970074, 28173682247, 28442142054, 28711358926, 28981355827, 29252063758, 29523558502, 29795776441, 30068764831, 30342458374, 30616939750, 30892128139, 31168089504, 31444749924, 31722172255, 32000294391, 32279140641, 32558704184, 32839014866, 33120043561, 33401786707, 33684236507, 33967365907, 34251244380, 34535829988, 34821118608, 35107079750, 35393746428, 35681104516, 35969179070, 36257941893, 36547389317, 36837532838, 37128393229, 37419926405, 37712120551, 38004968547, 38298514637, 38592752419, 38887621924, 39183184116, 39479427993, 39776295173, 40073850582, 40372070037, 40670933359, 40970474350, 41270691723, 41571573385, 41873105581, 42175256539, 42478069252] + +Built regression model! +Model info: + r^2: 0.9999999999546465 + p-value: 0 + intercept: -3.3874560345730558 + slope: 1.4272910790608093 +Fractal dimension: 1.4272910790608093 diff --git a/fractal_dimension/circle_counting_new/output3e8/antiprisms/pentagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output3e8/antiprisms/pentagonal_antiprism.txt new file mode 100644 index 0000000..c335beb --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/antiprisms/pentagonal_antiprism.txt @@ -0,0 +1,27 @@ +Counting circles +10% 568m 58.94499396000174s remaining +20% 505m 12.149161435998394s remaining +30% 444m 20.37794821499847s remaining +40% 385m 16.34682308400079s remaining +50% 323m 23.588683368998318s remaining +60% 259m 56.583371446000456s remaining +70% 195m 33.09966236299988s remaining +80% 130m 39.75261090999993s remaining +90% 65m 27.572873358999914s remaining + +Took 655m 43.855912598999566s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[11563104682, 11723669742, 11884851138, 12046681475, 12209138884, 12372226783, 12535932700, 12700256845, 12865201121, 13030700598, 13196818047, 13363534452, 13530880611, 13698785100, 13867287844, 14036407174, 14206049629, 14376296174, 14547147689, 14718557567, 14890512716, 15063056747, 15236177904, 15409852546, 15584112926, 15758885526, 15934236354, 16110134586, 16286590033, 16463604315, 16641170386, 16819288735, 16997903871, 17177071739, 17356751105, 17536976978, 17717717428, 17899005294, 18080822032, 18263174225, 18446040303, 18629430989, 18813296698, 18997701303, 19182632261, 19368088932, 19554018363, 19740489502, 19927454042, 20114894771, 20302834352, 20491316742, 20680295724, 20869768279, 21059706101, 21250151415, 21441071875, 21632483618, 21824395544, 22016780932, 22209646124, 22402989777, 22596807808, 22791105995, 22985858662, 23181117206, 23376805127, 23572986633, 23769635140, 23966780378, 24164366765, 24362433213, 24560925326, 24759896020, 24959313143, 25159184719, 25359514540, 25560294459, 25761501850, 25963188553, 26165292675, 26367855660, 26570884703, 26774384810, 26978304802, 27182650276, 27387417243, 27592654143, 27798342108, 28004440920, 28210990709, 28417954283, 28625346717, 28833161491, 29041414579, 29250101309, 29459238720, 29668780164, 29878755379, 30089141403] + +Built regression model! +Model info: + r^2: 0.9999999999564847 + p-value: 0 + intercept: -3.1957991904306837 + slope: 1.3998062454957 +Fractal dimension: 1.3998062454957 diff --git a/fractal_dimension/circle_counting_new/output3e8/antiprisms/square_antiprism.txt b/fractal_dimension/circle_counting_new/output3e8/antiprisms/square_antiprism.txt new file mode 100644 index 0000000..016a19e --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/antiprisms/square_antiprism.txt @@ -0,0 +1,25 @@ +Counting circles +13% 367m 52.05845736500123s remaining +25% 315m 11.214518918000977s remaining +38% 262m 36.44184730300003s remaining +50% 210m 16.133744732000196s remaining +63% 157m 40.05806934300017s remaining +75% 105m 5.930314741999609s remaining +88% 52m 32.926675952000096s remaining + +Took 420m 5.526635438000085s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[8997680112, 9120705387, 9244176758, 9368099830, 9492458629, 9617300005, 9742549362, 9868265003, 9994443173, 10121044722, 10248085628, 10375557383, 10503443814, 10631787891, 10760556974, 10889746202, 11019354367, 11149390206, 11279845402, 11410721625, 11542008779, 11673687781, 11805796641, 11938283772, 12071207732, 12204531894, 12338251889, 12472364211, 12606897315, 12741784310, 12877093738, 13012766349, 13148835154, 13285289308, 13422117981, 13559329133, 13696940885, 13834944822, 13973328081, 14112068302, 14251195815, 14390688475, 14530565983, 14670810120, 14811410729, 14952393513, 15093716943, 15235421969, 15377483214, 15519922254, 15662704461, 15805855957, 15949366728, 16093232100, 16237458033, 16382023354, 16526937617, 16672210726, 16817836948, 16963800500, 17110122305, 17256747595, 17403738957, 17551068066, 17698735350, 17846749767, 17995111278, 18143797208, 18292798576, 18442165408, 18591848215, 18741869208, 18892224818, 19042900342, 19193862555, 19345189007, 19496857464, 19648840512, 19801167402, 19953787136, 20106736888, 20260030265, 20413617804, 20567529298, 20721772351, 20876284838, 21031125609, 21186284479, 21341768433, 21497559453, 21653659211, 21810036242, 21966739526, 22123789589, 22281123572, 22438743892, 22596686814, 22754934110, 22913489928, 23072349589] + +Built regression model! +Model info: + r^2: 0.9999999996956968 + p-value: 0 + intercept: -3.042191317043269 + slope: 1.378333729285644 +Fractal dimension: 1.378333729285644 diff --git a/fractal_dimension/circle_counting_new/output3e8/platonic_solids/cube.txt b/fractal_dimension/circle_counting_new/output3e8/platonic_solids/cube.txt new file mode 100644 index 0000000..af8c59d --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/platonic_solids/cube.txt @@ -0,0 +1,25 @@ +Counting circles +13% 610m 18.7967936549976s remaining +25% 523m 45.42561713100076s remaining +38% 436m 11.794508540999232s remaining +50% 348m 51.86696782799845s remaining +63% 261m 43.497030817999985s remaining +75% 174m 34.317206678999355s remaining +88% 87m 53.89812636500028s remaining + +Took 704m 27.404592858998512s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[23454816871, 23799397823, 24145595433, 24493418341, 24842865947, 25193879655, 25546477961, 25900643802, 26256384433, 26613804037, 26972731491, 27333225978, 27695234857, 28058736089, 28423822045, 28790445175, 29158635585, 29528278156, 29899453279, 30272109054, 30646272678, 31021917379, 31399063566, 31777707627, 32157844166, 32539410672, 32922416691, 33306885468, 33692807243, 34080130260, 34468884287, 34859117490, 35250753184, 35643805787, 36038240780, 36434109480, 36831342327, 37229952261, 37629922753, 38031395022, 38434216423, 38838364807, 39243960989, 39650883090, 40059210132, 40468806731, 40879788027, 41292115006, 41705770269, 42120757534, 42537080013, 42954738636, 43373674142, 43793967469, 44215569266, 44638466848, 45062673033, 45488159484, 45914956972, 46343020201, 46772423191, 47203082849, 47634989112, 48068251351, 48502788453, 48938535680, 49375568651, 49813795668, 50253317129, 50694037074, 51136136488, 51579414070, 52023915754, 52469673498, 52916707286, 53364915494, 53814336290, 54264953784, 54716819468, 55169938172, 55624286404, 56079819336, 56536530390, 56994459739, 57453567116, 57913840356, 58375352443, 58838056865, 59301933079, 59766965879, 60233227579, 60700592344, 61169119586, 61638834105, 62109697654, 62581805481, 63055022982, 63529445600, 64004970828, 64481649058] + +Built regression model! +Model info: + r^2: 0.9999999999681978 + p-value: 0 + intercept: -4.003825163262803 + slope: 1.4802519239370366 +Fractal dimension: 1.4802519239370366 diff --git a/fractal_dimension/circle_counting_new/output3e8/platonic_solids/dodecahedron.txt b/fractal_dimension/circle_counting_new/output3e8/platonic_solids/dodecahedron.txt new file mode 100644 index 0000000..954dcbc --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/platonic_solids/dodecahedron.txt @@ -0,0 +1,10 @@ +Counting circles +5% 3510m 40.061187606013846s remaining +10% 3335m 0.14648953199503012s remaining +15% 3154m 1.956271740986267s remaining +20% 2966m 35.65821754801436s remaining +25% 2779m 26.57122367399279s remaining +30% 2592m 55.812808254995616s remaining +35% 2410m 9.380713902995922s remaining +40% 2224m 5.741851380007574s remaining +45% 2038m 17.55029959100648s remaining diff --git a/fractal_dimension/circle_counting_new/output3e8/platonic_solids/icosahedron.txt b/fractal_dimension/circle_counting_new/output3e8/platonic_solids/icosahedron.txt new file mode 100644 index 0000000..ff9ee30 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/platonic_solids/icosahedron.txt @@ -0,0 +1,29 @@ +Counting circles +8% 661m 41.21864900399669s remaining +17% 601m 41.42313799000112s remaining +25% 541m 36.392249888998776s remaining +33% 481m 20.184047880000435s remaining +42% 421m 3.7216775699998834s remaining +50% 361m 33.444445297998755s remaining +58% 303m 15.809643456999765s remaining +67% 244m 15.192352644999119s remaining +75% 184m 6.226724722999279s remaining +83% 122m 50.35661901700041s remaining +92% 61m 18.129886523000096s remaining + +Took 734m 29.617572278002626s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[7348715966, 7448800627, 7549247382, 7650075610, 7751226682, 7852758309, 7954631517, 8056882206, 8159470492, 8262403915, 8365706560, 8469369446, 8573349684, 8677671198, 8782348342, 8887356151, 8992702439, 9098410672, 9204436515, 9310785534, 9417473888, 9524474155, 9631805362, 9739482216, 9847486605, 9955805611, 10064447616, 10173408271, 10282693809, 10392302661, 10502218622, 10612435234, 10722957496, 10833802049, 10944973152, 11056432995, 11168213825, 11280289182, 11392672400, 11505359973, 11618345858, 11731620760, 11845197089, 11959058402, 12073243607, 12187737241, 12302492508, 12417543919, 12532901510, 12648548979, 12764467687, 12880698662, 12997192183, 13113977283, 13231029633, 13348392567, 13465997020, 13583919502, 13702099001, 13820565650, 13939300067, 14058311043, 14177589162, 14297149828, 14416993973, 14537089009, 14657469928, 14778110547, 14899020029, 15020196778, 15141622237, 15263329517, 15385293884, 15507524545, 15630032750, 15752812066, 15875829535, 15999111630, 16122653053, 16246435459, 16370498109, 16494808450, 16619367320, 16744197004, 16869273666, 16994596931, 17120169069, 17245967316, 17372048479, 17498338348, 17624904035, 17751709904, 17878783699, 18006055513, 18133605162, 18261401414, 18389431765, 18517729511, 18646247127, 18775002780] + +Built regression model! +Model info: + r^2: 0.9999999995366909 + p-value: 0 + intercept: -3.1437529522888568 + slope: 1.3729772958011588 +Fractal dimension: 1.3729772958011588 diff --git a/fractal_dimension/circle_counting_new/output3e8/prisms/decagonal_prism.txt b/fractal_dimension/circle_counting_new/output3e8/prisms/decagonal_prism.txt new file mode 100644 index 0000000..23d2d28 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/prisms/decagonal_prism.txt @@ -0,0 +1,37 @@ +Counting circles +5% 3027m 1.952483889006544s remaining +10% 2815m 29.87746484699892s remaining +15% 2600m 50.280013393989066s remaining +20% 2395m 59.29871228800039s remaining +25% 2210m 2.8317186619970016s remaining +30% 2043m 53.544413793002605s remaining +35% 1896m 3.0286069879948627s remaining +40% 1759m 55.95927945099538s remaining +45% 1627m 51.756638837992796s remaining +50% 1493m 5.92831033100083s remaining +55% 1352m 4.8441145830001915s remaining +60% 1204m 11.75325722299749s remaining +65% 1051m 17.187280765996547s remaining +70% 896m 47.911193683998135s remaining +75% 743m 16.899297543001012s remaining +80% 592m 15.927262502002122s remaining +85% 443m 38.61203098899932s remaining +90% 296m 15.748589021000953s remaining +95% 148m 41.852764560999276s remaining + +Took 2986m 56.616210014006356s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[45306549611, 46008715043, 46714700064, 47424590010, 48138294190, 48855852462, 49577213106, 50302398367, 51031333939, 51764031467, 52500477661, 53240686412, 53984555416, 54732107261, 55483381508, 56238347074, 56996927811, 57759154107, 58525054819, 59294555490, 60067639124, 60844309245, 61624591242, 62408400942, 63195807215, 63986741772, 64781223230, 65579203450, 66380679807, 67185641074, 67994073763, 68806009863, 69621430910, 70440256078, 71262525365, 72088184639, 72917237373, 73749681052, 74585545138, 75424757478, 76267457377, 77113477752, 77962827332, 78815513017, 79671498973, 80530765336, 81393378997, 82259371701, 83128573671, 84001128841, 84876892127, 85755906036, 86638243159, 87523767088, 88412513355, 89304502452, 90199693489, 91098074420, 91999646176, 92904365031, 93812348081, 94723505086, 95637849944, 96555324925, 97475911284, 98399689997, 99326516052, 100256495624, 101189536465, 102125697004, 103065024358, 104007447748, 104952897511, 105901405939, 106852951452, 107807572684, 108765204864, 109725883834, 110689651456, 111656485919, 112626243483, 113599092905, 114574889694, 115553656507, 116535365302, 117520093711, 118507848759, 119498544394, 120492242627, 121488920921, 122488458078, 123490945926, 124496416671, 125504832161, 126516167950, 127530411924, 128547540248, 129567458108, 130590393892, 131616224791] + +Built regression model! +Model info: + r^2: 0.999999999985548 + p-value: 0 + intercept: -4.865481453404406 + slope: 1.560949779197067 +Fractal dimension: 1.560949779197067 diff --git a/fractal_dimension/circle_counting_new/output3e8/prisms/heptagonal_prism.txt b/fractal_dimension/circle_counting_new/output3e8/prisms/heptagonal_prism.txt new file mode 100644 index 0000000..52408ce --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/prisms/heptagonal_prism.txt @@ -0,0 +1,31 @@ +Counting circles +7% 1629m 58.03560181199282s remaining +14% 1507m 14.477517905994318s remaining +21% 1384m 44.73131617999752s remaining +29% 1280m 35.182307530005346s remaining +36% 1165m 9.187918095005443s remaining +43% 1044m 1.4897587110026507s remaining +50% 918m 56.80333056199743s remaining +57% 790m 56.66294001699862s remaining +64% 660m 59.13016259200231s remaining +71% 529m 41.82815185900108s remaining +79% 397m 50.508750796998356s remaining +86% 265m 37.58884445699914s remaining +93% 133m 2.281605225999556s remaining + +Took 1865m 30.841582844994264s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[39479605624, 40084405112, 40692418903, 41303719450, 41918168741, 42535820189, 43156679073, 43780649980, 44407727692, 45038026541, 45671419170, 46307896570, 46947446623, 47590062247, 48235739312, 48884502136, 49536307645, 50191179670, 50849014920, 51509882558, 52173739109, 52840600278, 53510408995, 54183198600, 54858979256, 55537660551, 56219323251, 56903920289, 57591330359, 58281686733, 58974966376, 59671100045, 60370122381, 61072023995, 61776733467, 62484244153, 63194602879, 63907799403, 64623765447, 65342553051, 66064139561, 66788586706, 67515763002, 68245679585, 68978422241, 69713925258, 70452130323, 71193085216, 71936729521, 72683146571, 73432237272, 74184014427, 74938492821, 75695658471, 76455498009, 77218045094, 77983115087, 78750917996, 79521284997, 80294360049, 81070051453, 81848419442, 82629378260, 83412970824, 84199112035, 84987858547, 85779151426, 86573102583, 87369538344, 88168574772, 88970144353, 89774284677, 90580900965, 91390160948, 92201932462, 93016253863, 93833132874, 94652464872, 95474284136, 96298497250, 97125264311, 97954537963, 98786316773, 99620522813, 100457192274, 101296341753, 102137931814, 102981990048, 103828447955, 104677364742, 105528735282, 106382510755, 107238694022, 108097341496, 108958378578, 109821754567, 110687611555, 111555783426, 112426369141, 113299381826] + +Built regression model! +Model info: + r^2: 0.9999999999882758 + p-value: 0 + intercept: -4.667150093776186 + slope: 1.5431117664603877 +Fractal dimension: 1.5431117664603877 diff --git a/fractal_dimension/circle_counting_new/output3e8/prisms/hexagonal_prism.txt b/fractal_dimension/circle_counting_new/output3e8/prisms/hexagonal_prism.txt new file mode 100644 index 0000000..64ab493 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/prisms/hexagonal_prism.txt @@ -0,0 +1,29 @@ +Counting circles +8% 1314m 21.46992038699682s remaining +17% 1184m 31.34207156499906s remaining +25% 1063m 11.34606534899649s remaining +33% 943m 36.50982274400303s remaining +42% 826m 3.022855299001094s remaining +50% 707m 34.1957667270035s remaining +58% 589m 41.63384217199928s remaining +67% 471m 17.168999828001688s remaining +75% 353m 12.949207500001648s remaining +83% 235m 18.90822403600032s remaining +92% 117m 36.43799118399966s remaining + +Took 1410m 58.98028001700004s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[36103804464, 36652723041, 37204517468, 37759173094, 38316682262, 38877001915, 39440124406, 40006044253, 40574767272, 41146279563, 41720543326, 42297544746, 42877318380, 43459787988, 44044973527, 44632903968, 45223553275, 45816868198, 46412919827, 47011581156, 47612935768, 48216900770, 48823542639, 49432820156, 50044711810, 50659170644, 51276228189, 51895936373, 52518204463, 53142998321, 53770368822, 54400283273, 55032739087, 55667735481, 56305340597, 56945346376, 57587876420, 58232890505, 58880415388, 59530401745, 60182894328, 60837853428, 61495292240, 62155169089, 62817442195, 63482223223, 64149373772, 64818926027, 65490919438, 66165359949, 66842161651, 67521331169, 68202876709, 68886792319, 69573048886, 70261674762, 70952652562, 71646017271, 72341666349, 73039624613, 73739935727, 74442524747, 75147468909, 75854719743, 76564224965, 77276004472, 77990084515, 78706474699, 79425154330, 80146104096, 80869315291, 81594734987, 82322357079, 83052265954, 83784468813, 84518852028, 85255437719, 85994251071, 86735262385, 87478485784, 88223942641, 88971595316, 89721434708, 90473412400, 91227582283, 91983941846, 92742420366, 93503029489, 94265802396, 95030700840, 95797795876, 96567067114, 97338428818, 98111992113, 98887623676, 99665340630, 100445221653, 101227174511, 102011326472, 102797448619] + +Built regression model! +Model info: + r^2: 0.9999999999867077 + p-value: 0 + intercept: -4.5391046166851154 + slope: 1.5315683164741583 +Fractal dimension: 1.5315683164741583 diff --git a/fractal_dimension/circle_counting_new/output3e8/prisms/nonagonal_prism.txt b/fractal_dimension/circle_counting_new/output3e8/prisms/nonagonal_prism.txt new file mode 100644 index 0000000..34dae99 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/prisms/nonagonal_prism.txt @@ -0,0 +1,35 @@ +Counting circles +6% 2365m 21.792540831986116s remaining +11% 2198m 35.47486101600225s remaining +17% 2032m 5.206711630002246s remaining +22% 1873m 4.769731471998966s remaining +28% 1726m 9.75433081900701s remaining +33% 1589m 51.01841621600033s remaining +39% 1461m 23.423155665004742s remaining +44% 1337m 34.41264324099757s remaining +50% 1210m 25.031826553997234s remaining +56% 1079m 38.006494891997136s remaining +61% 945m 8.567216226998426s remaining +67% 808m 25.622106654001982s remaining +72% 671m 25.250570386997424s remaining +78% 535m 30.298292833998858s remaining +83% 401m 3.3461595039989334s remaining +89% 267m 32.96928466099962s remaining +94% 134m 9.866228087000309s remaining + +Took 2423m 22.34572852900601s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[43823962631, 44501233096, 45182191596, 45866892940, 46555281984, 47247334084, 47943031151, 48642325243, 49345296831, 50051837297, 50761927419, 51475622343, 52192846715, 52913608511, 53637881836, 54365750723, 55097075229, 55831856988, 56570151094, 57311882014, 58057137696, 58805790232, 59557810786, 60313248869, 61072098375, 61834317104, 62599923908, 63368905087, 64141220162, 64916882648, 65695893329, 66478230313, 67263867313, 68052793848, 68845011481, 69640526297, 70439318596, 71241318494, 72046599010, 72855057953, 73666755435, 74481632020, 75299759560, 76121087642, 76945541806, 77773189590, 78603965106, 79437909158, 80275004051, 81115231041, 81958600348, 82805078307, 83654670545, 84507321786, 85363106634, 86221906266, 87083822716, 87948760183, 88816829851, 89687888958, 90561957209, 91439099214, 92319273490, 93202426289, 94088563039, 94977728324, 95869912875, 96765028546, 97663136845, 98564176339, 99468230042, 100375225153, 101285152796, 102198028475, 103113856920, 104032511689, 104954120951, 105878622058, 106806000767, 107736275761, 108669414452, 109605423232, 110544322026, 111486102607, 112430694351, 113378153109, 114328480281, 115281589882, 116237548687, 117196327004, 118157947332, 119122405295, 120089592774, 121059634746, 122032425459, 123007928015, 123986252727, 124967306530, 125951219947, 126937796005] + +Built regression model! +Model info: + r^2: 0.9999999999925452 + p-value: 0 + intercept: -4.818275798003754 + slope: 1.5566772796188262 +Fractal dimension: 1.5566772796188262 diff --git a/fractal_dimension/circle_counting_new/output3e8/prisms/octagonal_prism.txt b/fractal_dimension/circle_counting_new/output3e8/prisms/octagonal_prism.txt new file mode 100644 index 0000000..192901e --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/prisms/octagonal_prism.txt @@ -0,0 +1,33 @@ +Counting circles +6% 2152m 37.387045889001456s remaining +13% 1996m 48.33080740200239s remaining +19% 1840m 54.75116439399426s remaining +25% 1690m 17.215589900995838s remaining +31% 1546m 14.951560732995858s remaining +38% 1407m 27.30874202599807s remaining +44% 1270m 10.416562789992895s remaining +50% 1132m 7.122630547004519s remaining +56% 992m 27.55083913300041s remaining +63% 850m 42.28763667999738s remaining +69% 707m 58.97156668700336s remaining +75% 565m 24.316780979002942s remaining +81% 423m 38.31856646899905s remaining +88% 282m 26.11064764600087s remaining +94% 141m 21.57727333100047s remaining + +Took 2264m 45.31353978000698s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[41943562012, 42589382795, 43238746179, 43891606835, 44547937135, 45207682619, 45870856576, 46537445783, 47207494725, 47880964269, 48557756340, 49237924741, 49921461176, 50608315457, 51298522953, 51992036175, 52688851245, 53388942453, 54092247941, 54798825903, 55508726568, 56221852615, 56938229111, 57657799076, 58380558464, 59106541115, 59835769023, 60568114918, 61303613797, 62042267279, 62784057917, 63528960404, 64277032197, 65028151038, 65782375351, 66539642142, 67300015492, 68063419695, 68829942092, 69599471264, 70372109229, 71147692720, 71926294683, 72708000121, 73492690402, 74280225984, 75070836675, 75864359392, 76660872287, 77460311638, 78262673788, 79068029025, 79876191756, 80687347746, 81501435762, 82318432108, 83138342500, 83961107805, 84786790705, 85615319240, 86446749545, 87280868691, 88117853838, 88957716648, 89800418269, 90645965837, 91494288108, 92345430361, 93199359235, 94056072268, 94915543957, 95777838661, 96642936405, 97510729130, 98381304678, 99254649034, 100130679080, 101009482992, 101890985686, 102775169080, 103662031547, 104551689061, 105444031765, 106339021487, 107236692080, 108137045810, 109040060968, 109945709357, 110854120725, 111765182182, 112678821310, 113595127392, 114514036986, 115435650425, 116359828693, 117286632251, 118216010894, 119148009240, 120082607662, 121019780852] + +Built regression model! +Model info: + r^2: 0.9999999999878746 + p-value: 0 + intercept: -4.754993765877103 + slope: 1.550989353715095 +Fractal dimension: 1.550989353715095 diff --git a/fractal_dimension/circle_counting_new/output3e8/prisms/pentagonal_prism.txt b/fractal_dimension/circle_counting_new/output3e8/prisms/pentagonal_prism.txt new file mode 100644 index 0000000..95c4db8 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/prisms/pentagonal_prism.txt @@ -0,0 +1,27 @@ +Counting circles +10% 930m 50.022671453996736s remaining +20% 828m 2.515990492000128s remaining +30% 724m 17.775794973997108s remaining +40% 620m 44.353643691996695s remaining +50% 517m 12.319711658001324s remaining +60% 413m 45.92070352600058s remaining +70% 310m 19.870935068000108s remaining +80% 206m 54.41054280500066s remaining +90% 103m 27.17088503099967s remaining + +Took 1034m 30.17495130399766s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[31186905098, 31655307278, 32126134137, 32599282051, 33074811852, 33552650641, 34032772914, 34515228148, 35000023003, 35487073410, 35976399673, 36467970902, 36961807711, 37457869400, 37956169627, 38456708072, 38959512215, 39464562256, 39971758992, 40481140424, 40992714087, 41506434463, 42022367168, 42540417150, 43060608634, 43582963743, 44107469729, 44634142290, 45162874994, 45693671879, 46226626329, 46761636769, 47298813330, 47837996068, 48379294737, 48922638757, 49468011225, 50015486062, 50564980558, 51116453736, 51669961147, 52225533144, 52783119926, 53342726230, 53904320151, 54467816062, 55033317005, 55600846286, 56170325686, 56741721349, 57315124140, 57890514976, 58467819525, 59047028559, 59628182141, 60211290254, 60796306039, 61383259558, 61972118717, 62562860294, 63155500155, 63750050917, 64346462662, 64944752109, 65544907963, 66147027113, 66750934686, 67356715427, 67964307746, 68573811556, 69185089178, 69798253904, 70413184713, 71029935758, 71648593086, 72269003200, 72891295515, 73515360583, 74141238172, 74768919191, 75398363718, 76029644781, 76662719502, 77297512769, 77934108743, 78572414633, 79212508104, 79854444491, 80498119801, 81143514915, 81790636704, 82439461991, 83090078789, 83742403443, 84396439605, 85052219444, 85709748381, 86368995864, 87029911381, 87692554586] + +Built regression model! +Model info: + r^2: 0.9999999999606423 + p-value: 0 + intercept: -4.340277928500406 + slope: 1.5132404210529178 +Fractal dimension: 1.5132404210529178 diff --git a/fractal_dimension/circle_counting_new/output3e8/prisms/triangular_prism.txt b/fractal_dimension/circle_counting_new/output3e8/prisms/triangular_prism.txt new file mode 100644 index 0000000..99e4314 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/prisms/triangular_prism.txt @@ -0,0 +1,23 @@ +Counting circles +17% 215m 18.588750135000737s remaining +33% 172m 48.241325491999305s remaining +50% 129m 19.723242789000324s remaining +67% 86m 0.9856651410000268s remaining +83% 42m 56.444910547999825s remaining + +Took 257m 23.895401658999617s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[10953177646, 11106051246, 11259503677, 11413572688, 11568257895, 11723548651, 11879413363, 12035913110, 12192968104, 12350612081, 12508839143, 12667641128, 12827002067, 12986941600, 13147486954, 13308598796, 13470244153, 13632449420, 13795262259, 13958630854, 14122537674, 14286987210, 14451996383, 14617525028, 14783590143, 14950203987, 15117389333, 15285088759, 15453364613, 15622149323, 15791416663, 15961251112, 16131599381, 16302470230, 16473872629, 16645815924, 16818251105, 16991234061, 17164698669, 17338652832, 17513114693, 17688067830, 17863525631, 18039523082, 18215968223, 18392915937, 18570344121, 18748261006, 18926664799, 19105619016, 19285036358, 19464910536, 19645274078, 19826126920, 20007448399, 20189197192, 20371476905, 20554215911, 20737428418, 20921129476, 21105315002, 21289944873, 21475060626, 21660586088, 21846575539, 22033023135, 22219952592, 22407337501, 22595176292, 22783491219, 22972243933, 23161394969, 23351053057, 23541127225, 23731645774, 23922628985, 24114057747, 24305909785, 24498216309, 24690970692, 24884132822, 25077745705, 25271754025, 25466220140, 25661155447, 25856483325, 26052240066, 26248421560, 26445035480, 26642049057, 26839477783, 27037353367, 27235611272, 27434324918, 27633479984, 27832959173, 28032886443, 28233241892, 28434018283, 28635217250] + +Built regression model! +Model info: + r^2: 0.9999999998892396 + p-value: 0 + intercept: -3.3785428802017776 + slope: 1.4066313793978622 +Fractal dimension: 1.4066313793978622 diff --git a/fractal_dimension/circle_counting_new/output3e8/pyramids/decagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output3e8/pyramids/decagonal_pyramid.txt new file mode 100644 index 0000000..7cd2578 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/pyramids/decagonal_pyramid.txt @@ -0,0 +1,28 @@ +Counting circles +9% 455m 59.07630815000084s remaining +18% 229m 59.345628838000266s remaining +27% 151m 19.22355832500034s remaining +36% 109m 13.872082431999843s remaining +45% 81m 38.356636196999716s remaining +55% 61m 15.753620860999945s remaining +64% 45m 2.9327361169998767s remaining +73% 31m 30.522844979999945s remaining +82% 19m 48.92392179700005s remaining +91% 9m 26.261835453000003s remaining + +Took 99m 43.519666633999805s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[2108877914, 2136644122, 2164500995, 2192441669, 2220470316, 2248590609, 2276787767, 2305084826, 2333463271, 2361935801, 2390476254, 2419112096, 2447827159, 2476626546, 2505505499, 2534467712, 2563513566, 2592637719, 2621847785, 2651124128, 2680491822, 2709928885, 2739458565, 2769067124, 2798743536, 2828500743, 2858336635, 2888256058, 2918255296, 2948326756, 2978473398, 3008690208, 3038983289, 3069350609, 3099795371, 3130319939, 3160914489, 3191577857, 3222316217, 3253123266, 3283999891, 3314954491, 3345985462, 3377086786, 3408263317, 3439500104, 3470798444, 3502171148, 3533619028, 3565144591, 3596727276, 3628380917, 3660109769, 3691903054, 3723764338, 3755686739, 3787675160, 3819735867, 3851855559, 3884065090, 3916323460, 3948653439, 3981048147, 4013496826, 4046014483, 4078594931, 4111239640, 4143952534, 4176729507, 4209567865, 4242469318, 4275441013, 4308467373, 4341561562, 4374712423, 4407928017, 4441210035, 4474546459, 4507950101, 4541411380, 4574930812, 4608517799, 4642163844, 4675856425, 4709618446, 4743443159, 4777324637, 4811274002, 4845272299, 4879329448, 4913458371, 4947640420, 4981873443, 5016160964, 5050510091, 5084929678, 5119397228, 5153929081, 5188511762, 5223147906] + +Built regression model! +Model info: + r^2: 0.9999999998955073 + p-value: 0 + intercept: -3.5354061357009527 + slope: 1.3274955042092016 +Fractal dimension: 1.3274955042092016 diff --git a/fractal_dimension/circle_counting_new/output3e8/pyramids/heptagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output3e8/pyramids/heptagonal_pyramid.txt new file mode 100644 index 0000000..3736d5c --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/pyramids/heptagonal_pyramid.txt @@ -0,0 +1,25 @@ +Counting circles +13% 286m 40.68577357200047s remaining +25% 146m 24.02596902500045s remaining +38% 94m 24.447399947999656s remaining +50% 64m 29.46664979099978s remaining +63% 43m 23.995503629999803s remaining +75% 26m 43.44318767599998s remaining +88% 12m 34.38746118400002s remaining + +Took 95m 51.33053926699995s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[2810979248, 2848210446, 2885565307, 2923038224, 2960630499, 2998331614, 3036170795, 3074131036, 3112199633, 3150379542, 3188682592, 3227092734, 3265625091, 3304275910, 3343039207, 3381916836, 3420904764, 3460011481, 3499234133, 3538552827, 3577985139, 3617527339, 3657186173, 3696949399, 3736814283, 3776785721, 3816874754, 3857060742, 3897349000, 3937750286, 3978255994, 4018868477, 4059574743, 4100388637, 4141296961, 4182317693, 4223446428, 4264660368, 4305978578, 4347393461, 4388912842, 4430530596, 4472247470, 4514063788, 4555968755, 4597977058, 4640086331, 4682279220, 4724574016, 4766959856, 4809455663, 4852025178, 4894703526, 4937477724, 4980337636, 5023293984, 5066344270, 5109483988, 5152713296, 5196030978, 5239442881, 5282952060, 5326537898, 5370217481, 5413998771, 5457862999, 5501819366, 5545858712, 5589988103, 5634203891, 5678503190, 5722878900, 5767353638, 5811922461, 5856577296, 5901309637, 5946135418, 5991037826, 6036034579, 6081116273, 6126272136, 6171512947, 6216845868, 6262250654, 6307734761, 6353298400, 6398957405, 6444697524, 6490525570, 6536427364, 6582414616, 6628484676, 6674624439, 6720843071, 6767139009, 6813530167, 6859999495, 6906527644, 6953152164, 6999849423] + +Built regression model! +Model info: + r^2: 0.9999999999457252 + p-value: 0 + intercept: -3.3973645837318074 + slope: 1.3354232703484121 +Fractal dimension: 1.3354232703484121 diff --git a/fractal_dimension/circle_counting_new/output3e8/pyramids/hexagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output3e8/pyramids/hexagonal_pyramid.txt new file mode 100644 index 0000000..5b25234 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/pyramids/hexagonal_pyramid.txt @@ -0,0 +1,24 @@ +Counting circles +14% 238m 50.59563938300016s remaining +29% 123m 33.985830677000195s remaining +43% 78m 43.32010519800042s remaining +57% 51m 29.482806928000173s remaining +71% 31m 18.510425780000105s remaining +86% 14m 38.91144442699999s remaining + +Took 97m 30.829160483000123s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[3294680455, 3338402088, 3382273607, 3426299254, 3470452048, 3514754263, 3559192052, 3603771796, 3648501096, 3693359917, 3738367883, 3783506944, 3828778383, 3874191540, 3919733858, 3965402272, 4011225802, 4057157706, 4103235602, 4149450392, 4195772401, 4242253608, 4288854173, 4335585677, 4382435318, 4429418280, 4476525942, 4523759291, 4571114770, 4618604719, 4666210224, 4713935183, 4761794720, 4809753983, 4857845275, 4906061436, 4954401701, 5002857753, 5051434192, 5100115325, 5148928998, 5197859641, 5246894002, 5296054301, 5345321565, 5394710596, 5444216301, 5493839951, 5543563876, 5593412028, 5643365208, 5693430638, 5743609955, 5793914532, 5844307681, 5894814226, 5945437659, 5996175342, 6047012669, 6097958403, 6149005243, 6200177530, 6251438712, 6302821746, 6354295867, 6405894886, 6457590497, 6509388848, 6561305550, 6613309671, 6665424077, 6717632265, 6769939046, 6822360881, 6874887017, 6927523464, 6980253557, 7033085984, 7086011123, 7139029399, 7192154880, 7245383800, 7298700507, 7352113450, 7405632666, 7459253059, 7512966740, 7566786745, 7620692915, 7674702486, 7728799624, 7782989642, 7837284989, 7891668989, 7946154534, 8000733275, 8055411414, 8110173750, 8165041511, 8220008834] + +Built regression model! +Model info: + r^2: 0.9999999999603452 + p-value: 0 + intercept: -3.291095296587997 + slope: 1.3382108784841351 +Fractal dimension: 1.3382108784841351 diff --git a/fractal_dimension/circle_counting_new/output3e8/pyramids/nonagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output3e8/pyramids/nonagonal_pyramid.txt new file mode 100644 index 0000000..fdcfbbf --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/pyramids/nonagonal_pyramid.txt @@ -0,0 +1,27 @@ +Counting circles +10% 395m 50.15662259099918s remaining +20% 199m 55.27905842799919s remaining +30% 130m 47.02203935499983s remaining +40% 93m 13.15826867099986s remaining +50% 68m 12.512377278999793s remaining +60% 49m 27.871046479000142s remaining +70% 34m 19.646669677999853s remaining +80% 21m 29.062874817999955s remaining +90% 10m 11.920007442000042s remaining + +Took 97m 41.75916927199978s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[2270543380, 2300496817, 2330534293, 2360664415, 2390904877, 2421228192, 2451646528, 2482168363, 2512782298, 2543473087, 2574259491, 2605150987, 2636138396, 2667206659, 2698361575, 2729615007, 2760951878, 2792375583, 2823884737, 2855487402, 2887175285, 2918946056, 2950803759, 2982747284, 3014786509, 3046898773, 3079105772, 3111388757, 3143759222, 3176217729, 3208752610, 3241374929, 3274071243, 3306850733, 3339707520, 3372646719, 3405665717, 3438761521, 3471938810, 3505193463, 3538523644, 3571942463, 3605432958, 3639003023, 3672653826, 3706376341, 3740173812, 3774052199, 3808007765, 3842032457, 3876123465, 3910289475, 3944531674, 3978850207, 4013238798, 4047701928, 4082241330, 4116859763, 4151553229, 4186308634, 4221137175, 4256049218, 4291008290, 4326058441, 4361176252, 4396367267, 4431626327, 4466939499, 4502322770, 4537792086, 4573318702, 4608921745, 4644584456, 4680326356, 4716134736, 4752007605, 4787941641, 4823939012, 4860019476, 4896162813, 4932371709, 4968640572, 5004969602, 5041373334, 5077842970, 5114369453, 5150975898, 5187645230, 5224376242, 5261164184, 5298025972, 5334941965, 5371925821, 5408969028, 5446073867, 5483253652, 5520492115, 5557780475, 5595148587, 5632567888] + +Built regression model! +Model info: + r^2: 0.999999999851275 + p-value: 0 + intercept: -3.5058530901817235 + slope: 1.3298476055286683 +Fractal dimension: 1.3298476055286683 diff --git a/fractal_dimension/circle_counting_new/output3e8/pyramids/octagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output3e8/pyramids/octagonal_pyramid.txt new file mode 100644 index 0000000..05be337 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/pyramids/octagonal_pyramid.txt @@ -0,0 +1,26 @@ +Counting circles +11% 337m 5.574016015998495s remaining +22% 170m 55.66202902800069s remaining +33% 111m 7.736667760000273s remaining +44% 77m 52.46227817700037s remaining +56% 55m 13.159956628000145s remaining +67% 37m 51.54757616400002s remaining +78% 23m 32.29012504399998s remaining +89% 11m 7.777654647999952s remaining + +Took 95m 42.29151550400002s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[2492424162, 2525358050, 2558396234, 2591539966, 2624799387, 2658156207, 2691637895, 2725219060, 2758900608, 2792685407, 2826563466, 2860549121, 2894628133, 2928813619, 2963098115, 2997482858, 3031967943, 3066538869, 3101224834, 3135999449, 3170880986, 3205842138, 3240904337, 3276063452, 3311319528, 3346663235, 3382116068, 3417647141, 3453275681, 3488996576, 3524800966, 3560699852, 3596681202, 3632756496, 3668919989, 3705188248, 3741535141, 3777961701, 3814484236, 3851093728, 3887784498, 3924564881, 3961439328, 3998391355, 4035435393, 4072567469, 4109778778, 4147071979, 4184452038, 4221914795, 4259458694, 4297097984, 4334807564, 4372608263, 4410486888, 4448434716, 4486472767, 4524589875, 4562789546, 4601071108, 4639429577, 4677857180, 4716375407, 4754973312, 4793648931, 4832401901, 4871230029, 4910135530, 4949110304, 4988168690, 5027306773, 5066524277, 5105811060, 5145177149, 5184610271, 5224143461, 5263734428, 5303392517, 5343128630, 5382936072, 5422827080, 5462777766, 5502807900, 5542913457, 5583098319, 5623340762, 5663664383, 5704060089, 5744524816, 5785058988, 5825673080, 5866354169, 5907097500, 5947921051, 5988819011, 6029773658, 6070809185, 6111892740, 6153060248, 6194294543] + +Built regression model! +Model info: + r^2: 0.9999999998265192 + p-value: 0 + intercept: -3.46286984660253 + slope: 1.332515772628906 +Fractal dimension: 1.332515772628906 diff --git a/fractal_dimension/circle_counting_new/output3e8/pyramids/pentagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output3e8/pyramids/pentagonal_pyramid.txt new file mode 100644 index 0000000..e43d129 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/pyramids/pentagonal_pyramid.txt @@ -0,0 +1,23 @@ +Counting circles +17% 194m 15.00095458999931s remaining +33% 103m 5.697846641999604s remaining +50% 64m 14.467985038999814s remaining +67% 38m 27.72691026800021s remaining +83% 17m 55.276932920000036s remaining + +Took 102m 17.52741891400001s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[4081073423, 4135288186, 4189699140, 4244268234, 4299019227, 4353965640, 4409077449, 4464358321, 4519813705, 4575452773, 4631277264, 4687259063, 4743412290, 4799732727, 4856212731, 4912872768, 4969695060, 5026686305, 5083844813, 5141160391, 5198648758, 5256283388, 5314079574, 5372026724, 5430150782, 5488435644, 5546854790, 5605438050, 5664183249, 5723077025, 5782134174, 5841336924, 5900700629, 5960206566, 6019860956, 6079679459, 6139631057, 6199741583, 6260003791, 6320413771, 6380963796, 6441677792, 6502503921, 6563501765, 6624639951, 6685916400, 6747329716, 6808892070, 6870594769, 6932427964, 6994413146, 7056525934, 7118793315, 7181192857, 7243740584, 7306430753, 7369236412, 7432192521, 7495276939, 7558495576, 7621844953, 7685328682, 7748940652, 7812692250, 7876565324, 7940582891, 8004736386, 8069033023, 8133425527, 8197974249, 8262654925, 8327447734, 8392370510, 8457420409, 8522607946, 8587908637, 8653337301, 8718885393, 8784564004, 8850365673, 8916284775, 8982333033, 9048505859, 9114816010, 9181262260, 9247805772, 9314476267, 9381260936, 9448181213, 9515221224, 9582371224, 9649642881, 9717036694, 9784544767, 9852163833, 9919906984, 9987772199, 10055757104, 10123840706, 10192041556] + +Built regression model! +Model info: + r^2: 0.9999999999440904 + p-value: 0 + intercept: -3.104275769471151 + slope: 1.339656539517361 +Fractal dimension: 1.339656539517361 diff --git a/fractal_dimension/circle_counting_new/output3e8/pyramids/square_pyramid.txt b/fractal_dimension/circle_counting_new/output3e8/pyramids/square_pyramid.txt new file mode 100644 index 0000000..01e18f9 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/pyramids/square_pyramid.txt @@ -0,0 +1,22 @@ +Counting circles +20% 148m 41.54860963600004s remaining +40% 83m 38.85915682399991s remaining +60% 49m 34.20747987699997s remaining +80% 23m 14.109406339000088s remaining + +Took 111m 31.876416029999746s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[5451693817, 5523897643, 5596329319, 5668999585, 5741911809, 5815075516, 5888433227, 5962022065, 6035863160, 6109918431, 6184189871, 6258707211, 6333435698, 6408386924, 6483578296, 6558983105, 6634616622, 6710446389, 6786504977, 6862762582, 6939258597, 7015961011, 7092868715, 7169946559, 7247264578, 7324789446, 7402525943, 7480456244, 7558591020, 7636938651, 7715488586, 7794234425, 7873183474, 7952331182, 8031698311, 8111244048, 8190982411, 8270916175, 8351059238, 8431378460, 8511902116, 8592604648, 8673491624, 8754587759, 8835854465, 8917297182, 8998946116, 9080775523, 9162783870, 9244966503, 9327356051, 9409946510, 9492706827, 9575634672, 9658735969, 9742021664, 9825478421, 9909132582, 9992971533, 10076991780, 10161167834, 10245527487, 10330077967, 10414766998, 10499667688, 10584708854, 10669930260, 10755327571, 10840890279, 10926646232, 11012580798, 11098647710, 11184911434, 11271339747, 11357922519, 11444690442, 11531611010, 11618697758, 11705934579, 11793351818, 11880927371, 11968689332, 12056582578, 12144645419, 12232850936, 12321248260, 12409803078, 12498502367, 12587345469, 12676338417, 12765499537, 12854815453, 12944290121, 13033911186, 13123708620, 13213624936, 13303701417, 13393920578, 13484323718, 13574888787] + +Built regression model! +Model info: + r^2: 0.9999999995043359 + p-value: 0 + intercept: -2.733166951075063 + slope: 1.3353281193939301 +Fractal dimension: 1.3353281193939301 diff --git a/fractal_dimension/circle_counting_new/output3e8/rhombic/rhombic_dodecahedron.txt b/fractal_dimension/circle_counting_new/output3e8/rhombic/rhombic_dodecahedron.txt new file mode 100644 index 0000000..1607776 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/rhombic/rhombic_dodecahedron.txt @@ -0,0 +1,31 @@ +Counting circles +7% 499m 54.349295572999836s remaining +14% 461m 29.816158793000795s remaining +21% 423m 2.868253595999704s remaining +29% 384m 34.519457566999336s remaining +36% 435m 11.440428936999524s remaining +43% 439m 59.577402940001775s remaining +50% 417m 51.887230726999405s remaining +57% 379m 17.328261455000757s remaining +64% 302m 17.845013867998205s remaining +71% 233m 1.8097729370001616s remaining +79% 169m 5.48351916700085s remaining +86% 117m 14.271209671000179s remaining +93% 56m 54.997427847999916s remaining + +Took 823m 22.218565326002135s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[13685652649, 13887966972, 14091237585, 14295473629, 14500709605, 14706893043, 14914019980, 15122105770, 15331118220, 15541105479, 15752024982, 15963882060, 16176678259, 16390350816, 16604956742, 16820480476, 17036893652, 17254224885, 17472488171, 17691623374, 17911664046, 18132613669, 18354394450, 18577098952, 18800686696, 19025148102, 19250470153, 19476676948, 19703757432, 19931708611, 20160479210, 20390138678, 20620631138, 20851968367, 21084167865, 21317201407, 21551094628, 21785818408, 22021357616, 22257770437, 22494985365, 22733020261, 22971889484, 23211611563, 23452131073, 23693474771, 23935593166, 24178544111, 24422274671, 24666794957, 24912155193, 25158264694, 25405183028, 25652911639, 25901440203, 26150699222, 26400792278, 26651648038, 26903270029, 27155653105, 27408850951, 27662746206, 27917448848, 28172955373, 28429217273, 28686251329, 28944020713, 29202555953, 29461862025, 29721877812, 29982652349, 30244208252, 30506472339, 30769482238, 31033238304, 31297779459, 31562996527, 31828975943, 32095684261, 32363149423, 32631297845, 32900188595, 33169801688, 33440155749, 33711221058, 33983031098, 34255521406, 34528714226, 34802646848, 35077280537, 35352588494, 35628615169, 35905374002, 36182784431, 36460886209, 36739762435, 37019292967, 37299515678, 37580462326, 37862121025] + +Built regression model! +Model info: + r^2: 0.9999999999737107 + p-value: 0 + intercept: -4.716263926391946 + slope: 1.4894740984690233 +Fractal dimension: 1.4894740984690233 diff --git a/fractal_dimension/circle_counting_new/output3e8/rhombic/rhombic_triacontahedron.txt b/fractal_dimension/circle_counting_new/output3e8/rhombic/rhombic_triacontahedron.txt new file mode 100644 index 0000000..3109081 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/rhombic/rhombic_triacontahedron.txt @@ -0,0 +1,49 @@ +Counting circles +3% 2227m 7.898940145998495s remaining +6% 2120m 24.73323163499299s remaining +9% 2026m 42.94270999499713s remaining +13% 1931m 13.070231492005405s remaining +16% 1876m 15.730617492998135s remaining +19% 1815m 40.64864203700563s remaining +22% 1732m 58.72234599200601s remaining +25% 1654m 27.85145504999673s remaining +28% 1587m 43.100985145007144s remaining +31% 1518m 23.799124185999972s remaining +34% 1450m 38.135531198000535s remaining +38% 1380m 14.037276638002368s remaining +41% 1238m 29.158773265997297s remaining +44% 1113m 8.420072698994773s remaining +47% 1003m 2.0832033089973265s remaining +50% 903m 25.050299848000577s remaining +53% 814m 49.375030877003155s remaining +56% 733m 35.68735934700089s remaining +59% 657m 34.79094193399942s remaining +63% 587m 11.037903128002654s remaining +66% 522m 41.580168391999905s remaining +69% 462m 19.065455258001748s remaining +72% 405m 11.5721516099984s remaining +75% 351m 17.762657204999414s remaining +78% 300m 37.020213887000864s remaining +81% 252m 11.80552252400048s remaining +84% 206m 2.160048973000812s remaining +88% 161m 41.29050585500045s remaining +91% 118m 59.26705202500034s remaining +94% 77m 52.336004560999754s remaining +97% 38m 16.417004430999896s remaining + +Took 1204m 21.472524954006076s to count circles + +Done counting circles! +sample points: +[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0] + +number of circles fewer than each of those sample points: +[7654500830, 7768482128, 7883000515, 7998072964, 8113717824, 8229926061, 8346673807, 8463963816, 8581802842, 8700166347, 8819076661, 8938525079, 9058505348, 9179005354, 9300053936, 9421634399, 9543739189, 9666358765, 9789498401, 9913149589, 10037327453, 10162011332, 10287198159, 10412917305, 10539143295, 10665869038, 10793101588, 10920821360, 11049060682, 11177787046, 11307022292, 11436750838, 11566971059, 11697674322, 11828857949, 11960559055, 12092708411, 12225354631, 12358503862, 12492108317, 12626202049, 12760746161, 12895781301, 13031305367, 13167259094, 13303705021, 13440622080, 13578023337, 13715866612, 13854185665, 13992970650, 14132203482, 14271896126, 14412063961, 14552667441, 14693718356, 14835237006, 14977195157, 15119604485, 15262462928, 15405776416, 15549535632, 15693761664, 15838394436, 15983460147, 16128992701, 16274960332, 16421372912, 16568207228, 16715489091, 16863184918, 17011337164, 17159890106, 17308882251, 17458310680, 17608152334, 17758427350, 17909114482, 18060243960, 18211808628, 18363786205, 18516192454, 18669003107, 18822243571, 18975899249, 19129947447, 19284438752, 19439335599, 19594646662, 19750364986, 19906500683, 20063032226, 20219967515, 20377309090, 20535074728, 20693248518, 20851809175, 21010773347, 21170126589, 21329897948] + +Built regression model! +Model info: + r^2: 0.9999999999037138 + p-value: 0 + intercept: -5.496132512598429 + slope: 1.5000294512617012 +Fractal dimension: 1.5000294512617012 diff --git a/fractal_dimension/circle_counting_new/output4e8/antiprisms/decagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output4e8/antiprisms/decagonal_antiprism.txt new file mode 100644 index 0000000..1737e0f --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/antiprisms/decagonal_antiprism.txt @@ -0,0 +1,37 @@ +Counting circles +5% 3338m 27.830808772007003s remaining +10% 3074m 22.44417042299756s remaining +15% 2779m 23.48552510299487s remaining +20% 2487m 21.201949631999014s remaining +25% 2225m 24.776128889992833s remaining +30% 2007m 43.940558419999434s remaining +35% 1834m 3.467712105004466s remaining +40% 1696m 0.03970877200481482s remaining +45% 1578m 49.11361991199374s remaining +50% 1465m 35.73010760800389s remaining +55% 1340m 6.769932005001465s remaining +60% 1197m 1.427958813001169s remaining +65% 1042m 5.825757566002721s remaining +70% 882m 52.24343920099636s remaining +75% 726m 2.7975313179995283s remaining +80% 574m 57.493895510000584s remaining +85% 429m 34.720826602999296s remaining +90% 287m 29.987880046999635s remaining +95% 145m 3.7240405030006514s remaining + +Took 2932m 36.11387794101029s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[26719645685, 27100194063, 27482341842, 27866156596, 28251555140, 28638569968, 29027227648, 29417407208, 29809154000, 30202485574, 30597391925, 30993878239, 31391838945, 31791374370, 32192414919, 32594983762, 32999057203, 33404658623, 33811759118, 34220341549, 34630426847, 35041970216, 35454977867, 35869476066, 36285389103, 36702805184, 37121646986, 37541937216, 37963636909, 38386808693, 38811380902, 39237337552, 39664724311, 40093505637, 40523644618, 40955182427, 41388122795, 41822468290, 42258211172, 42695302664, 43133725220, 43573504225, 44014599077, 44457096608, 44900939628, 45346095684, 45792593405, 46240384137, 46689550923, 47139976083, 47591716831, 48044798227, 48499178035, 48954831896, 49411771327, 49870043939, 50329529169, 50790343181, 51252426217, 51715752988, 52180291969, 52646148486, 53113292080, 53581617619, 54051206265, 54522032745, 54994111401, 55467403090, 55941923058, 56417672117, 56894673469, 57372852742, 57852282903, 58332877446, 58814715803, 59297732370, 59781923152, 60267348989, 60753972613, 61241762748, 61730751151, 62220886466, 62712166992, 63204635365, 63698314709, 64193151144, 64689099528, 65186191895, 65684468192, 66183912071, 66684506017, 67186216212, 67689070802, 68193036896, 68698142436, 69204363727, 69711747475, 70220225147, 70729823800, 71240518513] + +Built regression model! +Model info: + r^2: 0.9999999999880291 + p-value: 0 + intercept: -3.4417602164713017 + slope: 1.4354079542372604 +Fractal dimension: 1.4354079542372604 diff --git a/fractal_dimension/circle_counting_new/output4e8/antiprisms/heptagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output4e8/antiprisms/heptagonal_antiprism.txt new file mode 100644 index 0000000..366fb84 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/antiprisms/heptagonal_antiprism.txt @@ -0,0 +1,31 @@ +Counting circles +7% 1606m 52.936371660995064s remaining +14% 1466m 17.72230066799966s remaining +21% 1323m 35.26621653100301s remaining +29% 1187m 33.144799317000434s remaining +36% 1062m 51.680132526002126s remaining +43% 946m 45.50069818100019s remaining +50% 833m 18.482948076998582s remaining +57% 717m 1.671748770000704s remaining +64% 597m 0.8455764780010213s remaining +71% 475m 46.29640529600147s remaining +79% 355m 35.919448271000874s remaining +86% 236m 52.726040813999134s remaining +93% 118m 41.37926024300032s remaining + +Took 1666m 52.651518201004365s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[22410614451, 22726603498, 23043903759, 23362521617, 23682425687, 24003645695, 24326136436, 24649893032, 24974918632, 25301218783, 25628726835, 25957490866, 26287470449, 26618700897, 26951173605, 27284829759, 27619714392, 27955803793, 28293091692, 28631580958, 28971271841, 29312122697, 29654181810, 29997387390, 30341774532, 30687330025, 31034032265, 31381917069, 31730909525, 32081050389, 32432349680, 32784802261, 33138381823, 33493050188, 33848810009, 34205703593, 34563727723, 34922858545, 35283082335, 35644381674, 36006799086, 36370287197, 36734848752, 37100462163, 37467164985, 37834936112, 38203723722, 38573619548, 38944542363, 39316517489, 39689556217, 40063618463, 40438716356, 40814876608, 41192097007, 41570262992, 41949482487, 42329765382, 42711030057, 43093330358, 43476602426, 43860894131, 44246150799, 44632398930, 45019648899, 45407933941, 45797220346, 46187453391, 46578652930, 46970844016, 47363993675, 47758111464, 48153211258, 48549269060, 48946244280, 49344204695, 49743171303, 50143035757, 50543837304, 50945608763, 51348368933, 51752016293, 52156580825, 52562083135, 52968572113, 53375953224, 53784233629, 54193439802, 54603609324, 55014650652, 55426612701, 55839471031, 56253276862, 56667970845, 57083527630, 57499996358, 57917398474, 58335631128, 58754767495, 59174832744] + +Built regression model! +Model info: + r^2: 0.9999999999734709 + p-value: 0 + intercept: -3.3459909221432014 + slope: 1.4212041539937372 +Fractal dimension: 1.4212041539937372 diff --git a/fractal_dimension/circle_counting_new/output4e8/antiprisms/hexagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output4e8/antiprisms/hexagonal_antiprism.txt new file mode 100644 index 0000000..bce7e16 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/antiprisms/hexagonal_antiprism.txt @@ -0,0 +1,29 @@ +Counting circles +8% 1274m 49.97460779400717s remaining +17% 1151m 8.236378814006457s remaining +25% 1029m 36.26458462399751s remaining +33% 912m 0.2187295140029164s remaining +42% 797m 52.7592176199978s remaining +50% 685m 15.533832793000329s remaining +58% 571m 38.80052330000035s remaining +67% 456m 56.960720849998324s remaining +75% 342m 11.000971927998762s remaining +83% 227m 58.92354046999935s remaining +92% 114m 3.9062446130001263s remaining + +Took 1370m 23.05516139899555s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[20195628189, 20478713145, 20762911094, 21048241225, 21334701511, 21622263387, 21910999059, 22200832607, 22491782175, 22783811072, 23076953502, 23371191556, 23666519639, 23962929369, 24260419023, 24558968677, 24858586192, 25159277358, 25460973189, 25763722776, 26067530927, 26372400233, 26678260881, 26985161005, 27293091209, 27602027510, 27912011943, 28222984574, 28534943137, 28847946191, 29161937504, 29476883007, 29792848170, 30109799368, 30427680920, 30746573923, 31066407497, 31387216787, 31709011694, 32031756436, 32355456065, 32680091153, 33005669607, 33332228839, 33659659788, 33988048575, 34317390627, 34647673048, 34978850118, 35310966170, 35643982674, 35977874124, 36312670547, 36648377398, 36984984670, 37322555646, 37660956584, 38000267509, 38340429294, 38681521690, 39023501322, 39366352645, 39710083818, 40054664320, 40400125278, 40746458218, 41093640664, 41441692275, 41790586218, 42140348071, 42490952909, 42842383707, 43194665286, 43547781238, 43901780839, 44256629445, 44612255944, 44968705646, 45326018087, 45684149165, 46043100373, 46402872522, 46763439915, 47124837796, 47487063436, 47850082208, 48213896032, 48578508689, 48943924988, 49310175107, 49677205234, 50045015847, 50413646873, 50783066562, 51153270061, 51524240453, 51895992874, 52268512844, 52641794591, 53015847584] + +Built regression model! +Model info: + r^2: 0.9999999999789662 + p-value: 0 + intercept: -3.2866471120070173 + slope: 1.4126590436591084 +Fractal dimension: 1.4126590436591084 diff --git a/fractal_dimension/circle_counting_new/output4e8/antiprisms/nonagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output4e8/antiprisms/nonagonal_antiprism.txt new file mode 100644 index 0000000..38c9830 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/antiprisms/nonagonal_antiprism.txt @@ -0,0 +1,35 @@ +Counting circles +6% 184m 23.039540106999993s remaining +11% 173m 31.406793207999726s remaining +17% 167m 18.86836992499957s remaining +22% 163m 33.57748213500054s remaining +28% 159m 31.683141450999756s remaining +33% 153m 4.1112985239997215s remaining +39% 143m 16.09626790599941s remaining +44% 130m 34.13267216599979s remaining +50% 116m 15.929980044999866s remaining +56% 96m 55.006185449999975s remaining +61% 80m 20.352335399000367s remaining +67% 65m 57.01719816900004s remaining +72% 53m 8.351736147999873s remaining +78% 41m 22.21740709100004s remaining +83% 30m 17.17230521600004s remaining +89% 19m 42.717834091999975s remaining +94% 9m 36.54788441400001s remaining + +Took 168m 27.55071645300086s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[1694566946, 1718632457, 1742812229, 1767093776, 1791469665, 1815926703, 1840510780, 1865174887, 1889960275, 1914838032, 1939814974, 1964887759, 1990060213, 2015325650, 2040671295, 2066111139, 2091637604, 2117303912, 2143032722, 2168865887, 2194790812, 2220811426, 2246940177, 2273136876, 2299425940, 2325803761, 2352268217, 2378811793, 2405483009, 2432229411, 2459061131, 2485976142, 2512982572, 2540085181, 2567271068, 2594544895, 2621892789, 2649329539, 2676865310, 2704457558, 2732148308, 2759941813, 2787802928, 2815754775, 2843786709, 2871880454, 2900093179, 2928400438, 2956776807, 2985223666, 3013746359, 3042361054, 3071059334, 3099848646, 3128697941, 3157639308, 3186673418, 3215791906, 3245000631, 3274260436, 3303592637, 3333002653, 3362493440, 3392074194, 3421723557, 3451455160, 3481271768, 3511157993, 3541115366, 3571146166, 3601255104, 3631447354, 3661699443, 3692036484, 3722429396, 3752911882, 3783471472, 3814100126, 3844805370, 3875579186, 3906446013, 3937401629, 3968396038, 3999454446, 4030618090, 4061854788, 4093156501, 4124531119, 4155974851, 4187484815, 4219079199, 4250735202, 4282463500, 4314267404, 4346118744, 4378088834, 4410094606, 4442174078, 4474319985, 4506541359] + +Built regression model! +Model info: + r^2: 0.9999999990467879 + p-value: 0 + intercept: -6.128270269789198 + slope: 1.431671404485539 +Fractal dimension: 1.431671404485539 diff --git a/fractal_dimension/circle_counting_new/output4e8/antiprisms/octagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output4e8/antiprisms/octagonal_antiprism.txt new file mode 100644 index 0000000..d1f9fe0 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/antiprisms/octagonal_antiprism.txt @@ -0,0 +1,33 @@ +Counting circles +6% 2184m 21.15995410400501s remaining +13% 2004m 4.161820271998295s remaining +19% 1823m 29.229898431003676s remaining +25% 1619m 0.7296535259956727s remaining +31% 1445m 6.9899985889933305s remaining +38% 1299m 28.341626680994523s remaining +44% 1170m 21.618855824999628s remaining +50% 1047m 11.578763350997178s remaining +56% 920m 6.0302420829975745s remaining +63% 787m 1.461260702002619s remaining +69% 651m 4.187442809998174s remaining +75% 516m 22.87425305400029s remaining +81% 385m 6.019425665999734s remaining +88% 256m 30.51212421300079s remaining +94% 128m 40.07628666999972s remaining + +Took 2070m 18.56589212399558s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[24154642980, 24496711758, 24840236084, 25185180260, 25531557629, 25879321319, 26228485996, 26579012741, 26930956002, 27284323392, 27639052979, 27995117918, 28352576544, 28711358926, 29071504271, 29432961780, 29795776441, 30159917461, 30525367722, 30892128139, 31260237683, 31629603086, 32000294391, 32372267258, 32745494651, 33120043561, 33495849012, 33872918301, 34251244380, 34630853365, 35011682997, 35393746428, 35777058660, 36161610312, 36547389317, 36934394338, 37322671391, 37712120551, 38102718404, 38494600901, 38887621924, 39281847512, 39677258280, 40073850582, 40471623609, 40870539568, 41270691723, 41672012550, 42074488508, 42478069252, 42882805021, 43288665603, 43695712273, 44103907282, 44513218264, 44923687264, 45335257847, 45747955548, 46161773055, 46576717316, 46992733729, 47409848653, 47828074176, 48247408723, 48667870046, 49089404671, 49512010155, 49935738404, 50360534054, 50786403687, 51213347369, 51641314672, 52070361261, 52500457573, 52931609542, 53363847558, 53797149142, 54231481066, 54666843154, 55103275141, 55540707120, 55979252596, 56418784598, 56859345876, 57300906484, 57743485152, 58187075929, 58631718945, 59077388578, 59524031619, 59971643062, 60420272280, 60869924371, 61320575495, 61772226531, 62224888107, 62678516088, 63133101032, 63588712855, 64045249531] + +Built regression model! +Model info: + r^2: 0.9999999999789907 + p-value: 0 + intercept: -3.387088135507959 + slope: 1.4272720582595357 +Fractal dimension: 1.4272720582595357 diff --git a/fractal_dimension/circle_counting_new/output4e8/antiprisms/pentagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output4e8/antiprisms/pentagonal_antiprism.txt new file mode 100644 index 0000000..d058ba9 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/antiprisms/pentagonal_antiprism.txt @@ -0,0 +1,27 @@ +Counting circles +10% 896m 6.703576366999187s remaining +20% 795m 32.507834304000426s remaining +30% 695m 25.32082074000209s remaining +40% 595m 56.89263856800244s remaining +50% 496m 59.781439791000594s remaining +60% 397m 35.12425864800025s remaining +70% 298m 6.346579683999153s remaining +80% 198m 0.42873929499910446s remaining +90% 98m 28.865339154999674s remaining + +Took 980m 48.85474559300201s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[17296793094, 17536976978, 17778095524, 18020156269, 18263174225, 18507116202, 18751954075, 18997701303, 19244387462, 19491979085, 19740489502, 19989879427, 20240140427, 20491316742, 20743402831, 20996325950, 21250151415, 21504821768, 21760373520, 22016780932, 22274042688, 22532140262, 22791105995, 23050898837, 23311522136, 23572986633, 23835301915, 24098454118, 24362433213, 24627199245, 24892797192, 25159184719, 25426387288, 25694380798, 25963188553, 26232764080, 26503158117, 26774384810, 27046376973, 27319115652, 27592654143, 27866991583, 28142098596, 28417954283, 28694568920, 28971944891, 29250101309, 29529042615, 29808711697, 30089141403, 30370326559, 30652212712, 30934868460, 31218302618, 31502451936, 31787322562, 32072911712, 32359227200, 32646275515, 32934058404, 33222562955, 33511783092, 33801709611, 34092350991, 34383682995, 34675733438, 34968486968, 35261960392, 35556165571, 35851023544, 36146580457, 36442831618, 36739758012, 37037378642, 37335662497, 37634649163, 37934312235, 38234682898, 38535701155, 38837399939, 39139764033, 39442813266, 39746529243, 40050922791, 40355964594, 40661641854, 40967992143, 41275003844, 41582671114, 41890937073, 42199887667, 42509485384, 42819713783, 43130604383, 43442144671, 43754309199, 44067094481, 44380534911, 44694597072, 45009260131] + +Built regression model! +Model info: + r^2: 0.9999999999742025 + p-value: 0 + intercept: -3.196094010101632 + slope: 1.399821480264362 +Fractal dimension: 1.399821480264362 diff --git a/fractal_dimension/circle_counting_new/output4e8/antiprisms/square_antiprism.txt b/fractal_dimension/circle_counting_new/output4e8/antiprisms/square_antiprism.txt new file mode 100644 index 0000000..29632aa --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/antiprisms/square_antiprism.txt @@ -0,0 +1,25 @@ +Counting circles +13% 520m 31.13772885399885s remaining +25% 446m 9.32351225399907s remaining +38% 371m 48.89976489000037s remaining +50% 297m 25.1348261359999s remaining +63% 223m 2.098390183000447s remaining +75% 148m 40.320642533000864s remaining +88% 74m 20.024375207999583s remaining + +Took 594m 35.93793052399997s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[13376476299, 13559329133, 13742902908, 13927150743, 14112068302, 14297659698, 14483906687, 14670810120, 14858364537, 15046570114, 15235421969, 15424927543, 15615062023, 15805855957, 15997288796, 16189340225, 16382023354, 16575321439, 16769239256, 16963800500, 17158958045, 17354701462, 17551068066, 17748044152, 17945605694, 18143797208, 18342550167, 18541923842, 18741869208, 18942401405, 19143503039, 19345189007, 19547488186, 19750357143, 19953787136, 20157803110, 20362391697, 20567529298, 20773240718, 20979482196, 21186284479, 21393661496, 21601598519, 21810036242, 22019064240, 22228642286, 22438743892, 22649402624, 22860603556, 23072349589, 23284624126, 23497446874, 23710804275, 23924661722, 24139040681, 24353949115, 24569396879, 24785344856, 25001848525, 25218857448, 25436366215, 25654400569, 25872921803, 26091941540, 26311452800, 26531502071, 26752062081, 26973130196, 27194701541, 27416742124, 27639279178, 27862325280, 28085845123, 28309866722, 28534371998, 28759389116, 28984876824, 29210850747, 29437298373, 29664234498, 29891628797, 30119493658, 30347862257, 30576705081, 30806014429, 31035771769, 31266013090, 31496693486, 31727845125, 31959463105, 32191538101, 32424078915, 32657094409, 32890575319, 33124469945, 33358826490, 33593635723, 33828895064, 34064629098, 34300798468] + +Built regression model! +Model info: + r^2: 0.999999999740386 + p-value: 0 + intercept: -3.0420352358587834 + slope: 1.378325683803753 +Fractal dimension: 1.378325683803753 diff --git a/fractal_dimension/circle_counting_new/output4e8/prisms/heptagonal_prism.txt b/fractal_dimension/circle_counting_new/output4e8/prisms/heptagonal_prism.txt new file mode 100644 index 0000000..e4b9fb5 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/prisms/heptagonal_prism.txt @@ -0,0 +1,8 @@ +Counting circles +7% 2788m 29.709241064003436s remaining +14% 2562m 28.869483629998285s remaining +21% 2338m 47.5984213759948s remaining +29% 2121m 53.86400717499782s remaining +36% 1910m 44.1253346940066s remaining +43% 1699m 24.801336663993425s remaining +50% 1487m 42.459915223997086s remaining diff --git a/fractal_dimension/circle_counting_new/output4e8/prisms/hexagonal_prism.txt b/fractal_dimension/circle_counting_new/output4e8/prisms/hexagonal_prism.txt new file mode 100644 index 0000000..730055c --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/prisms/hexagonal_prism.txt @@ -0,0 +1,29 @@ +Counting circles +8% 2167m 2.3119098960014526s remaining +17% 1970m 31.5233117799944s remaining +25% 1772m 49.560997776003205s remaining +33% 1575m 50.083755005995044s remaining +42% 1379m 0.2533687999966787s remaining +50% 1184m 33.876214486997924s remaining +58% 991m 26.26916502200038s remaining +67% 792m 26.646185876001255s remaining +75% 594m 0.8100747779972153s remaining +83% 395m 52.64910312799839s remaining +92% 198m 26.432792285999312s remaining + +Took 2379m 56.023241524992045s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[56092514313, 56945346376, 57802604462, 58664278122, 59530401745, 60400939054, 61275876769, 62155169089, 63038782440, 63926711179, 64818926027, 65715471561, 66616282210, 67521331169, 68430593171, 69344059374, 70261674762, 71183506675, 72109525067, 73039624613, 73973872239, 74912234158, 75854719743, 76801216353, 77751776866, 78706474699, 79665207302, 80627990012, 81594734987, 82565402106, 83540150486, 84518852028, 85501464953, 86487999033, 87478485784, 88472907482, 89471219493, 90473412400, 91479452823, 92489334019, 93503029489, 94520523621, 95541841162, 96567067114, 97596057633, 98628863569, 99665340630, 100705647160, 101749685225, 102797448619, 103848854754, 104904067107, 105963011175, 107025610206, 108091864350, 109161767882, 110235281251, 111312462368, 112393348423, 113477816695, 114565837026, 115657479720, 116752706811, 117851517974, 118953888761, 120059846092, 121169297925, 122282362762, 123398826846, 124518849952, 125642402011, 126769499527, 127900091139, 129034094849, 130171638296, 131312610648, 132457016168, 133604913089, 134756254844, 135910982555, 137069112782, 138230646105, 139395568141, 140563878311, 141735520871, 142910612103, 144089019753, 145270749498, 146455942670, 147644443236, 148836302291, 150031463173, 151229893364, 152431664742, 153636707986, 154845064254, 156056678039, 157271547407, 158489752726, 159711237288] + +Built regression model! +Model info: + r^2: 0.9999999999925988 + p-value: 0 + intercept: -4.539153574640139 + slope: 1.5315708653032365 +Fractal dimension: 1.5315708653032365 diff --git a/fractal_dimension/circle_counting_new/output4e8/prisms/nonagonal_prism.txt b/fractal_dimension/circle_counting_new/output4e8/prisms/nonagonal_prism.txt new file mode 100644 index 0000000..4b59428 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/prisms/nonagonal_prism.txt @@ -0,0 +1,35 @@ +Counting circles +6% 4022m 25.856102858000668s remaining +11% 3739m 9.958128688012948s remaining +17% 3459m 3.849322369991569s remaining +22% 3191m 10.085447860998102s remaining +28% 2941m 47.01341870200122s remaining +33% 2709m 37.70186778801144s remaining +39% 2490m 20.219616048008902s remaining +44% 2275m 15.72836014800123s remaining +50% 2058m 55.24036540600355s remaining +56% 1836m 19.943705594007042s remaining +61% 1608m 24.55419436500233s remaining +67% 1375m 47.18613349100633s remaining +72% 1142m 53.18969326799561s remaining +78% 911m 40.04005496299942s remaining +83% 682m 54.05548730299779s remaining +89% 455m 32.13517171800049s remaining +94% 228m 14.606693080999321s remaining + +Took 4118m 28.176272271986818s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[68580577190, 69640526297, 70706302573, 71777821465, 72855057953, 73938020560, 75026706908, 76121087642, 77221076154, 78326674418, 79437909158, 80554728413, 81677148132, 82805078307, 83938531650, 85077507580, 86221906266, 87371823048, 88527128027, 89687888958, 90854000207, 92025540586, 93202426289, 94384621820, 95572171563, 96765028546, 97963127720, 99166553622, 100375225153, 101589135759, 102808256005, 104032511689, 105261979492, 106496545492, 107736275761, 108981079594, 110231049893, 111486102607, 112746205705, 114011365018, 115281589882, 116556802612, 117837105066, 119122405295, 120412619857, 121707846866, 123007928015, 124312962770, 125622929821, 126937796005, 128257598081, 129582271603, 130911822951, 132246207990, 133585359545, 134929351405, 136278272931, 137631981366, 138990352368, 140353466997, 141721395064, 143093995233, 144471278044, 145853371823, 147240171147, 148631609629, 150027827521, 151428604922, 152834036359, 154244148718, 155658877457, 157078282211, 158502207929, 159930669518, 161363736129, 162801386141, 164243583735, 165690384489, 167141657817, 168597489526, 170057883083, 171522673365, 172992023353, 174465790037, 175944070539, 177426750234, 178913888160, 180405410661, 181901269808, 183401614525, 184906470467, 186415681186, 187929304723, 189447282561, 190969572215, 192496316200, 194027322388, 195562730940, 197102387460, 198646415545] + +Built regression model! +Model info: + r^2: 0.9999999999963383 + p-value: 0 + intercept: -4.818248233126006 + slope: 1.5566758630957582 +Fractal dimension: 1.5566758630957582 diff --git a/fractal_dimension/circle_counting_new/output4e8/prisms/pentagonal_prism.txt b/fractal_dimension/circle_counting_new/output4e8/prisms/pentagonal_prism.txt new file mode 100644 index 0000000..af49f67 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/prisms/pentagonal_prism.txt @@ -0,0 +1,27 @@ +Counting circles +10% 1566m 48.5264230640023s remaining +20% 1393m 21.46069321599498s remaining +30% 1218m 49.82982565599377s remaining +40% 1044m 33.75704631199915s remaining +50% 870m 25.760271778999595s remaining +60% 696m 20.90672802500194s remaining +70% 522m 14.87726842399934s remaining +80% 348m 34.879047501999594s remaining +90% 174m 15.962595203000092s remaining + +Took 1742m 25.60911838299944s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[48198621366, 48922638757, 49650270135, 50381612281, 51116453736, 51854931369, 52597047942, 53342726230, 54091946828, 54844596998, 55600846286, 56360562374, 57123757506, 57890514976, 58660668290, 59434250728, 60211290254, 60991751173, 61775607973, 62562860294, 63353455558, 64147444630, 64944752109, 65745396978, 66549420921, 67356715427, 68167261397, 68981097188, 69798253904, 70618573415, 71442187897, 72269003200, 73099118517, 73932420628, 74768919191, 75608605953, 76451493743, 77297512769, 78146656519, 78998945874, 79854444491, 80713049524, 81574723203, 82439461991, 83307334658, 84178229284, 85052219444, 85929318283, 86809425253, 87692554586, 88578721462, 89467894224, 90360132398, 91255336348, 92153442296, 93054662125, 93958776208, 94865871303, 95775943821, 96688958661, 97604927081, 98523864635, 99445634275, 100370356652, 101297968865, 102228357793, 103161686156, 104097904782, 105036948192, 105978835382, 106923581966, 107871168277, 108821620488, 109774903180, 110730991318, 111689949600, 112651641609, 113616122826, 114583431429, 115553464519, 116526334247, 117501917090, 118480204508, 119461307653, 120445141652, 121431600577, 122420846190, 123412877598, 124407639339, 125405001868, 126405089435, 127407900184, 128413335560, 129421570071, 130432422106, 131445994579, 132462194588, 133481070868, 134502500981, 135526630432] + +Built regression model! +Model info: + r^2: 0.9999999999880871 + p-value: 0 + intercept: -4.340078480314787 + slope: 1.5132301394388208 +Fractal dimension: 1.5132301394388208 diff --git a/fractal_dimension/circle_counting_new/output4e8/pyramids/decagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output4e8/pyramids/decagonal_pyramid.txt new file mode 100644 index 0000000..2db62b4 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/pyramids/decagonal_pyramid.txt @@ -0,0 +1,28 @@ +Counting circles +9% 723m 45.68070936000004s remaining +18% 365m 0.04352789399854373s remaining +27% 240m 5.671014583000215s remaining +36% 173m 17.122352652999325s remaining +45% 129m 30.21779379599957s remaining +55% 97m 10.942312365000362s remaining +64% 71m 28.24804413699985s remaining +73% 50m 0.6604711979998683s remaining +82% 31m 27.408829732999948s remaining +91% 14m 59.087253249000014s remaining + +Took 158m 20.538600133999353s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[3089637812, 3130319939, 3171130674, 3212063954, 3253123266, 3294311168, 3335627342, 3377086786, 3418668224, 3460356391, 3502171148, 3544123357, 3586194240, 3628380917, 3670695437, 3713136625, 3755686739, 3798354245, 3841143189, 3884065090, 3927095408, 3970242888, 4013496826, 4056865007, 4100347591, 4143952534, 4187670690, 4231494576, 4275441013, 4319491877, 4363656521, 4407928017, 4452319209, 4496811604, 4541411380, 4586123560, 4630942017, 4675856425, 4720883714, 4766024806, 4811274002, 4856617292, 4902076050, 4947640420, 4993299157, 5039054750, 5084929678, 5130897287, 5176976457, 5223147906, 5269429707, 5315808219, 5362282124, 5408847382, 5455510389, 5502282585, 5549150937, 5596118220, 5643188378, 5690355186, 5737623716, 5784991382, 5832449255, 5879993202, 5927635433, 5975367994, 6023212438, 6071136858, 6119150372, 6167248389, 6215457187, 6263756659, 6312149243, 6360633680, 6409206754, 6457875493, 6506629137, 6555465401, 6604406023, 6653437017, 6702555473, 6751752766, 6801039241, 6850416442, 6899876447, 6949437220, 6999083183, 7048809323, 7098618500, 7148525504, 7198523603, 7248586417, 7298744898, 7348996744, 7399315691, 7449726871, 7500210610, 7550783741, 7601458950, 7652210945] + +Built regression model! +Model info: + r^2: 0.9999999999435781 + p-value: 0 + intercept: -3.5353596422431934 + slope: 1.3274930895614196 +Fractal dimension: 1.3274930895614196 diff --git a/fractal_dimension/circle_counting_new/output4e8/pyramids/heptagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output4e8/pyramids/heptagonal_pyramid.txt new file mode 100644 index 0000000..8e849d5 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/pyramids/heptagonal_pyramid.txt @@ -0,0 +1,25 @@ +Counting circles +13% 455m 9.96205127400026s remaining +25% 232m 32.555135804999736s remaining +38% 150m 0.3087856660004036s remaining +50% 102m 30.15867707599955s remaining +63% 68m 59.27217888399991s remaining +75% 42m 29.041662997999993s remaining +88% 19m 59.36648687000002s remaining + +Took 152m 25.836982531000103s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[4127648931, 4182317693, 4237174228, 4292198624, 4347393461, 4402772534, 4458327337, 4514063788, 4569964257, 4626032829, 4682279220, 4738692263, 4795278267, 4852025178, 4908951501, 4966040676, 5023293984, 5080719818, 5138294410, 5196030978, 5253935348, 5311996538, 5370217481, 5428605140, 5487159638, 5545858712, 5604715460, 5663730074, 5722878900, 5782202594, 5841687571, 5901309637, 5961086319, 6021019729, 6081116273, 6141347383, 6201727985, 6262250654, 6322913945, 6383730659, 6444697524, 6505815019, 6567077652, 6628484676, 6690023198, 6751696268, 6813530167, 6875505071, 6937605557, 6999849423, 7062238952, 7124760623, 7187420692, 7250227549, 7313170668, 7376244282, 7439451246, 7502800737, 7566285654, 7629911708, 7693667609, 7757550450, 7821553499, 7885698933, 7949962074, 8014376864, 8078922614, 8143594833, 8208371288, 8273294204, 8338366845, 8403535417, 8468857696, 8534286964, 8599842140, 8665536418, 8731357526, 8797304204, 8863354060, 8929535269, 8995831904, 9062259629, 9128811895, 9195500947, 9262301888, 9329216391, 9396271190, 9463420581, 9530694269, 9598095712, 9665613469, 9733254430, 9801017116, 9868887071, 9936875116, 10004985797, 10073207923, 10141551993, 10210010286, 10278595007] + +Built regression model! +Model info: + r^2: 0.999999999961245 + p-value: 0 + intercept: -3.3973374886303276 + slope: 1.335421879001465 +Fractal dimension: 1.335421879001465 diff --git a/fractal_dimension/circle_counting_new/output4e8/pyramids/hexagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output4e8/pyramids/hexagonal_pyramid.txt new file mode 100644 index 0000000..74f6ec3 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/pyramids/hexagonal_pyramid.txt @@ -0,0 +1,24 @@ +Counting circles +14% 352m 40.68038179799987s remaining +29% 182m 25.943912906999685s remaining +43% 116m 12.712664652999592s remaining +57% 76m 0.7070613369996863s remaining +71% 46m 16.92905679400019s remaining +86% 21m 38.98731477599995s remaining + +Took 144m 5.935073796999859s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[4841801436, 4906061436, 4970545454, 5035228582, 5100115325, 5165228384, 5230537015, 5296054301, 5361769474, 5427708710, 5493839951, 5560165932, 5626699484, 5693430638, 5760367476, 5827502944, 5894814226, 5962339117, 6030053403, 6097958403, 6166044142, 6234343247, 6302821746, 6371486255, 6440344886, 6509388848, 6578624187, 6648044835, 6717632265, 6787400527, 6857361572, 6927523464, 6997844203, 7068360010, 7139029399, 7209886647, 7280920060, 7352113450, 7423496623, 7495048712, 7566786745, 7638679487, 7710755120, 7782989642, 7855402575, 7927982500, 8000733275, 8073659367, 8146737245, 8220008834, 8293424414, 8367006570, 8440756424, 8514659754, 8588736975, 8662969418, 8737343616, 8811888880, 8886607701, 8961492832, 9036523643, 9111720665, 9187056826, 9262551971, 9338203358, 9414022498, 9489995400, 9566106470, 9642384648, 9718795831, 9795392858, 9872134349, 9949016398, 10026039501, 10103216578, 10180562214, 10258055390, 10335675823, 10413471885, 10491399377, 10569473239, 10647682123, 10726029601, 10804538889, 10883200220, 10961985393, 11040934641, 11120023720, 11199239569, 11278606540, 11358113034, 11437782679, 11517564669, 11597508938, 11677581185, 11757795134, 11838130518, 11918601543, 11999235479, 12079992361] + +Built regression model! +Model info: + r^2: 0.9999999999690651 + p-value: 0 + intercept: -3.291153151242476 + slope: 1.3382138683414655 +Fractal dimension: 1.3382138683414655 diff --git a/fractal_dimension/circle_counting_new/output4e8/pyramids/nonagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output4e8/pyramids/nonagonal_pyramid.txt new file mode 100644 index 0000000..23bdd61 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/pyramids/nonagonal_pyramid.txt @@ -0,0 +1,27 @@ +Counting circles +10% 590m 57.63653627099848s remaining +20% 300m 48.07413599600113s remaining +30% 197m 58.59714711599918s remaining +40% 141m 47.44528932300091s remaining +50% 104m 9.51603926200005s remaining +60% 75m 46.903603695999664s remaining +70% 52m 44.28980861299988s remaining +80% 33m 5.3435772559998895s remaining +90% 15m 44.428644212999984s remaining + +Took 151m 3.8123421100008272s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[3328744640, 3372646719, 3416684959, 3460874610, 3505193463, 3549652723, 3594262518, 3639003023, 3683888279, 3728900571, 3774052199, 3819343331, 3864758848, 3910289475, 3955961118, 4001770354, 4047701928, 4093775447, 4139977111, 4186308634, 4232771835, 4279346583, 4326058441, 4372899752, 4419866795, 4466939499, 4514136006, 4561463888, 4608921745, 4656488929, 4704189095, 4752007605, 4799939143, 4847986217, 4896162813, 4944453453, 4992858960, 5041373334, 5090008684, 5138769525, 5187645230, 5236632549, 5285734263, 5334941965, 5384266119, 5433697825, 5483253652, 5532917825, 5582679447, 5632567888, 5682565333, 5732670415, 5782876381, 5833205809, 5883630601, 5934170389, 5984809314, 6035559995, 6086420372, 6137368890, 6188428817, 6239605402, 6290882434, 6342250976, 6393735773, 6445321540, 6497011186, 6548794566, 6600697035, 6652692489, 6704787807, 6756973403, 6809269542, 6861648778, 6914138256, 6966720189, 7019418028, 7072200139, 7125078197, 7178057707, 7231133503, 7284309693, 7337593221, 7390955376, 7444420450, 7497968713, 7551628750, 7605367442, 7659218697, 7713155421, 7767198227, 7821331570, 7875557983, 7929872873, 7984281088, 8038774439, 8093370110, 8148037606, 8202815113, 8257680622] + +Built regression model! +Model info: + r^2: 0.9999999998814441 + p-value: 0 + intercept: -3.505894990395227 + slope: 1.3298498679086022 +Fractal dimension: 1.3298498679086022 diff --git a/fractal_dimension/circle_counting_new/output4e8/pyramids/octagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output4e8/pyramids/octagonal_pyramid.txt new file mode 100644 index 0000000..dc0489a --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/pyramids/octagonal_pyramid.txt @@ -0,0 +1,26 @@ +Counting circles +11% 496m 38.071249224001804s remaining +22% 251m 49.17167551300008s remaining +33% 163m 42.976647217999925s remaining +44% 114m 43.1427851870003s remaining +56% 81m 20.41632743900027s remaining +67% 55m 46.0256035970001s remaining +78% 34m 40.35306104600022s remaining +89% 16m 23.82040010000003s remaining + +Took 141m 0.4332196199993632s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[3656850386, 3705188248, 3753669968, 3802301774, 3851093728, 3900035310, 3949138969, 3998391355, 4047799309, 4097370143, 4147071979, 4196930245, 4246934871, 4297097984, 4347401323, 4397846689, 4448434716, 4499171137, 4550048866, 4601071108, 4652230363, 4703521413, 4754973312, 4806554496, 4858277426, 4910135530, 4962120591, 5014256657, 5066524277, 5118929012, 5171457988, 5224143461, 5276940552, 5329880633, 5382936072, 5436136676, 5489454625, 5542913457, 5596504737, 5650211801, 5704060089, 5758035113, 5812127472, 5866354169, 5920694798, 5975182253, 6029773658, 6084506073, 6139330545, 6194294543, 6249393820, 6304616044, 6359942704, 6415388839, 6470958249, 6526657386, 6582461409, 6638388595, 6694434680, 6750591984, 6806880201, 6863265262, 6919772210, 6976389018, 7033134875, 7089982615, 7146950399, 7204027336, 7261225371, 7318543027, 7375948842, 7433487684, 7491130044, 7548880100, 7606739518, 7664714745, 7722799932, 7780997988, 7839294425, 7897702337, 7956230756, 8014855887, 8073588387, 8132430918, 8191390766, 8250448390, 8309604474, 8368857542, 8428231741, 8487699887, 8547281775, 8606962994, 8666742493, 8726647310, 8786641445, 8846747714, 8906944140, 8967248224, 9027640890, 9088147026] + +Built regression model! +Model info: + r^2: 0.9999999999559941 + p-value: 0 + intercept: -3.4627567449709247 + slope: 1.3325099342975393 +Fractal dimension: 1.3325099342975393 diff --git a/fractal_dimension/circle_counting_new/output4e8/pyramids/pentagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output4e8/pyramids/pentagonal_pyramid.txt new file mode 100644 index 0000000..37934e3 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/pyramids/pentagonal_pyramid.txt @@ -0,0 +1,23 @@ +Counting circles +17% 287m 17.366796894999425s remaining +33% 152m 31.109384577999663s remaining +50% 95m 3.367532074000337s remaining +67% 56m 55.5129417889998s remaining +83% 26m 31.787352199999987s remaining + +Took 151m 27.42324774699955s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[5999960191, 6079679459, 6159650814, 6239902216, 6320413771, 6401188999, 6482216178, 6563501765, 6645059808, 6726844213, 6808892070, 6891189783, 6973741066, 7056525934, 7139579292, 7222881981, 7306430753, 7390210450, 7474241569, 7558495576, 7642996216, 7727728424, 7812692250, 7897888197, 7983338858, 8069033023, 8154929683, 8241078165, 8327447734, 8414036877, 8500870269, 8587908637, 8675175141, 8762659019, 8850365673, 8938284811, 9026434055, 9114816010, 9203423941, 9292234314, 9381260936, 9470510197, 9559980815, 9649642881, 9739520635, 9829613243, 9919906984, 10010420561, 10101133294, 10192041556, 10283174338, 10374507758, 10466035691, 10557762387, 10649684723, 10741824683, 10834174086, 10926731317, 11019468009, 11112416927, 11205565114, 11298917599, 11392453047, 11486174682, 11580095480, 11674218894, 11768535869, 11863042594, 11957737256, 12052616352, 12147703449, 12242967477, 12338426273, 12434055646, 12529878995, 12625886853, 12722062323, 12818451550, 12915009644, 13011754669, 13108698077, 13205813535, 13303102745, 13400565337, 13498227936, 13596075998, 13694083011, 13792270796, 13890639699, 13989195691, 14087921944, 14186807780, 14285877187, 14385121934, 14484554604, 14584164126, 14683938690, 14783873658, 14883999224, 14984305096] + +Built regression model! +Model info: + r^2: 0.9999999999696332 + p-value: 0 + intercept: -3.1042313798031245 + slope: 1.339654224344592 +Fractal dimension: 1.339654224344592 diff --git a/fractal_dimension/circle_counting_new/output4e8/pyramids/square_pyramid.txt b/fractal_dimension/circle_counting_new/output4e8/pyramids/square_pyramid.txt new file mode 100644 index 0000000..beadf1f --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/pyramids/square_pyramid.txt @@ -0,0 +1,22 @@ +Counting circles +20% 222m 5.054042699999627s remaining +40% 124m 14.528055636999852s remaining +60% 73m 28.720111923999866s remaining +80% 34m 23.643828274000043s remaining + +Took 164m 55.50680696100062s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[8005227129, 8111244048, 8217597436, 8324327630, 8431378460, 8538773716, 8646509069, 8754587759, 8862985187, 8971710355, 9080775523, 9190161315, 9299872439, 9409946510, 9520325993, 9631005735, 9742021664, 9853335358, 9964999291, 10076991780, 10189259708, 10301879078, 10414766998, 10527992878, 10641508656, 10755327571, 10869475141, 10983921323, 11098647710, 11213708354, 11329039633, 11444690442, 11560638770, 11676834479, 11793351818, 11910170349, 12027271568, 12144645419, 12262308164, 12380281545, 12498502367, 12616998708, 12735758061, 12854815453, 12974149661, 13093765792, 13213624936, 13333761233, 13454177336, 13574888787, 13695893059, 13817165142, 13938704165, 14060480694, 14182515287, 14304831205, 14427420180, 14550259870, 14673382635, 14796702843, 14920306966, 15044183680, 15168306529, 15292725669, 15417373554, 15542244339, 15667401743, 15792784597, 15918449283, 16044351240, 16170477274, 16296861146, 16423504603, 16550418361, 16677547317, 16804940481, 16932547673, 17060437282, 17188565609, 17316931798, 17445514280, 17574342866, 17703413979, 17832730763, 17962271404, 18092031284, 18222011747, 18352246941, 18482723715, 18613459389, 18744379201, 18875560828, 19006927421, 19138554051, 19270404249, 19402507605, 19534794990, 19667337876, 19800100645, 19933102882] + +Built regression model! +Model info: + r^2: 0.9999999997364311 + p-value: 0 + intercept: -2.7329726118206707 + slope: 1.335318097681861 +Fractal dimension: 1.335318097681861 diff --git a/fractal_dimension/circle_counting_new/output4e8/rhombic/rhombic_dodecahedron.txt b/fractal_dimension/circle_counting_new/output4e8/rhombic/rhombic_dodecahedron.txt new file mode 100644 index 0000000..162ecab --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/rhombic/rhombic_dodecahedron.txt @@ -0,0 +1,31 @@ +Counting circles +7% 736m 1.7626446750000468s remaining +14% 675m 27.5099165099964s remaining +21% 621m 30.288642888997856s remaining +29% 566m 45.90520970200305s remaining +36% 639m 31.529098776001774s remaining +43% 645m 5.026144459996431s remaining +50% 612m 42.1763987230006s remaining +57% 556m 7.719133589002013s remaining +64% 443m 3.3775783679993765s remaining +71% 341m 30.69254063599874s remaining +79% 248m 15.1101199299992s remaining +86% 173m 3.8893315990007977s remaining +93% 84m 10.880704676999812s remaining + +Took 1222m 27.964419833995635s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[21006678668, 21317201407, 21629237694, 21942752780, 22257770437, 22574234627, 22892177293, 23211611563, 23532487957, 23854806137, 24178544111, 24503691823, 24830281532, 25158264694, 25487673899, 25818530925, 26150699222, 26484324056, 26819304233, 27155653105, 27493409753, 27832463933, 28172955373, 28514815583, 28857999560, 29202555953, 29548456082, 29895637280, 30244208252, 30594043976, 30945248806, 31297779459, 31651570470, 32006679912, 32363149423, 32720854241, 33079852920, 33440155749, 33801737355, 34164599936, 34528714226, 34894108513, 35260735838, 35628615169, 35997762901, 36368101579, 36739762435, 37112604728, 37486728447, 37862121025, 38238699279, 38616465920, 38995475848, 39375698802, 39757116908, 40139713307, 40523558846, 40908608336, 41294870903, 41682349582, 42071004530, 42460841593, 42851803559, 43243994651, 43637320030, 44031819222, 44427452795, 44824273061, 45222245422, 45621368852, 46021677510, 46423149094, 46825719446, 47229418439, 47634297352, 48040272312, 48447412369, 48855724617, 49265115039, 49675617275, 50087195020, 50499905681, 50913748245, 51328695318, 51744730956, 52161922490, 52580163048, 52999514550, 53419939923, 53841515281, 54264122865, 54687850726, 55112654124, 55538522418, 55965482528, 56393459154, 56822594268, 57252739364, 57683941397, 58116267062] + +Built regression model! +Model info: + r^2: 0.9999999999788808 + p-value: 0 + intercept: -4.716206158906793 + slope: 1.489471085955889 +Fractal dimension: 1.489471085955889 diff --git a/fractal_dimension/circle_counting_new/output4e8/rhombic/rhombic_triacontahedron.txt b/fractal_dimension/circle_counting_new/output4e8/rhombic/rhombic_triacontahedron.txt new file mode 100644 index 0000000..e387d57 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/rhombic/rhombic_triacontahedron.txt @@ -0,0 +1,49 @@ +Counting circles +3% 3242m 47.131103814987s remaining +6% 3093m 28.378329870000016s remaining +9% 2959m 46.50187477900181s remaining +13% 2824m 35.19609771101386s remaining +16% 2749m 37.850513039011275s remaining +19% 2659m 22.27768673800165s remaining +22% 2539m 7.53828685299959s remaining +25% 2424m 33.86171032799757s remaining +28% 2325m 22.812798567989375s remaining +31% 2221m 50.61596640700009s remaining +34% 2122m 18.774308489999385s remaining +38% 2019m 20.865515730998595s remaining +41% 1811m 52.79776055799448s remaining +44% 1628m 32.8645736729959s remaining +47% 1467m 23.817627529002493s remaining +50% 1321m 42.21601508099411s remaining +53% 1191m 58.83174043800682s remaining +56% 1073m 5.034918830002425s remaining +59% 961m 57.56624185999681s remaining +63% 859m 2.8331899600016186s remaining +66% 764m 40.98464496000088s remaining +69% 676m 24.292786370002432s remaining +72% 592m 50.47886280200328s remaining +75% 514m 0.04073772899937467s remaining +78% 439m 49.427522605001286s remaining +81% 368m 58.255567197000346s remaining +84% 301m 25.13399669499995s remaining +88% 236m 31.99569552899993s remaining +91% 174m 5.0959146240002156s remaining +94% 114m 0.21760690300015995s remaining +97% 56m 3.4073777439998594s remaining + +Took 1765m 25.18157614300435s to count circles + +Done counting circles! +sample points: +[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0] + +number of circles fewer than each of those sample points: +[11785072752, 11960559055, 12136871389, 12314076781, 12492108317, 12671002168, 12850713977, 13031305367, 13212690062, 13394926621, 13578023337, 13761924361, 13946656324, 14132203482, 14318573142, 14505743689, 14693718356, 14882501931, 15072087318, 15262462928, 15453646616, 15645633499, 15838394436, 16031927180, 16226259980, 16421372912, 16617251749, 16813920088, 17011337164, 17209486471, 17408445194, 17608152334, 17808611347, 18009814137, 18211808628, 18414545325, 18618019056, 18822243571, 19027197060, 19232901820, 19439335599, 19646502540, 19854410355, 20063032226, 20272370755, 20482449992, 20693248518, 20904752870, 21116969566, 21329897948, 21543537495, 21757899213, 21972971796, 22188727636, 22405192611, 22622395594, 22840257439, 23058823886, 23278101954, 23498047338, 23718653726, 23939966562, 24161944863, 24384628383, 24608001420, 24832027515, 25056743845, 25282144567, 25508209414, 25734960380, 25962354856, 26190391083, 26419109057, 26648507017, 26878549691, 27109260677, 27340641939, 27572639640, 27805300529, 28038633616, 28272604117, 28507223507, 28742470367, 28978399330, 29214947630, 29452148084, 29689962760, 29928409790, 30167530736, 30407270533, 30647602203, 30888621668, 31130271247, 31372526465, 31615402102, 31858926172, 32103064979, 32347817428, 32593200151, 32839152038] + +Built regression model! +Model info: + r^2: 0.9999999998901761 + p-value: 0 + intercept: -5.4951591998834814 + slope: 1.4999791169336874 +Fractal dimension: 1.4999791169336874 diff --git a/fractal_dimension/circle_counting_new/output5e6/antiprisms/decagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output5e6/antiprisms/decagonal_antiprism.txt new file mode 100644 index 0000000..b3d4050 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/antiprisms/decagonal_antiprism.txt @@ -0,0 +1,37 @@ +Counting circles +5% 6m 6.426775819999989s remaining +10% 5m 31.906395969000016s remaining +15% 4m 52.443535997000026s remaining +20% 4m 13.741290428000013s remaining +25% 3m 42.56814496199999s remaining +30% 3m 19.012584964000013s remaining +35% 3m 1.9889426949999915s remaining +40% 2m 50.376470055s remaining +45% 2m 42.132150112000005s remaining +50% 2m 34.27755450999999s remaining +55% 2m 23.606342119000004s remaining +60% 2m 9.222775737999996s remaining +65% 1m 52.341494661s remaining +70% 1m 34.611310272s remaining +75% 1m 17.256534102000003s remaining +80% 1m 0.8469635310000001s remaining +85% 45.406141835s remaining +90% 30.506158647s remaining +95% 15.531051075s remaining + +Took 5m 17.214737000000014s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[49560036, 50266372, 50975305, 51686730, 52401467, 53120855, 53840999, 54565372, 55292575, 56022483, 56755192, 57491880, 58230401, 58971216, 59714695, 60461901, 61211618, 61962984, 62718130, 63476144, 64238081, 65001764, 65768127, 66536074, 67307448, 68081263, 68859079, 69638806, 70421015, 71206639, 71993620, 72783616, 73576828, 74372608, 75169845, 75970297, 76773789, 77579186, 78385968, 79196893, 80008724, 80824715, 81641661, 82460715, 83283067, 84108083, 84936690, 85768643, 86601197, 87437345, 88275983, 89116127, 89959164, 90804455, 91653666, 92503914, 93356145, 94211200, 95069377, 95930314, 96792351, 97656974, 98522968, 99393158, 100265055, 101138616, 102015708, 102893229, 103772986, 104654769, 105539179, 106427472, 107317085, 108208479, 109101792, 109996338, 110893741, 111793727, 112696354, 113600754, 114507891, 115418200, 116329288, 117244193, 118159719, 119078542, 119998603, 120920595, 121846494, 122774293, 123702580, 124634310, 125566835, 126499338, 127434569, 128372295, 129314477, 130256873, 131202966, 132149492] + +Built regression model! +Model info: + r^2: 0.9999999906065126 + p-value: 0 + intercept: -3.4432043076525005 + slope: 1.4355096933688505 +Fractal dimension: 1.4355096933688505 diff --git a/fractal_dimension/circle_counting_new/output5e6/antiprisms/heptagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output5e6/antiprisms/heptagonal_antiprism.txt new file mode 100644 index 0000000..0c04f73 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/antiprisms/heptagonal_antiprism.txt @@ -0,0 +1,31 @@ +Counting circles +7% 3m 31.317393858999992s remaining +14% 3m 9.783014304000005s remaining +21% 2m 47.70354337699999s remaining +29% 2m 27.848608111999994s remaining +36% 2m 11.329453435000005s remaining +43% 1m 57.326138623999995s remaining +50% 1m 44.093518519s remaining +57% 1m 30.007135911000006s remaining +64% 1m 14.855159744000005s remaining +71% 59.348253883s remaining +79% 44.138685088s remaining +86% 29.370288129s remaining +93% 14.759085712s remaining + +Took 3m 28.177650449999987s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[44237196, 44860230, 45484821, 46114854, 46745978, 47380433, 48017554, 48657290, 49298538, 49943384, 50589445, 51237796, 51889320, 52543535, 53199216, 53856003, 54515789, 55178058, 55845083, 56512678, 57182481, 57855774, 58531050, 59209459, 59888457, 60570919, 61256283, 61942128, 62630707, 63322817, 64016658, 64710803, 65407674, 66107487, 66808001, 67511263, 68218700, 68928289, 69639977, 70353463, 71068865, 71785917, 72505044, 73227225, 73951602, 74677463, 75406612, 76135992, 76868856, 77604244, 78340437, 79079457, 79819261, 80562056, 81306720, 82055113, 82803130, 83553506, 84306277, 85060677, 85818166, 86575824, 87337040, 88098995, 88863337, 89628504, 90395269, 91165776, 91939541, 92712610, 93490398, 94267226, 95047005, 95829061, 96613398, 97400331, 98186940, 98975854, 99765580, 100558943, 101353365, 102148242, 102946750, 103746529, 104549365, 105354902, 106160959, 106970180, 107779309, 108589001, 109402048, 110218074, 111033960, 111851886, 112673109, 113495568, 114318543, 115144617, 115971326, 116799468] + +Built regression model! +Model info: + r^2: 0.9999999906732653 + p-value: 0 + intercept: -3.345708579895547 + slope: 1.4211839159078241 +Fractal dimension: 1.4211839159078241 diff --git a/fractal_dimension/circle_counting_new/output5e6/antiprisms/hexagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output5e6/antiprisms/hexagonal_antiprism.txt new file mode 100644 index 0000000..b456460 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/antiprisms/hexagonal_antiprism.txt @@ -0,0 +1,29 @@ +Counting circles +8% 2m 20.865377158s remaining +17% 2m 5.9946800449999955s remaining +25% 1m 51.302006597s remaining +33% 1m 37.878757754000006s remaining +42% 1m 25.671507324000004s remaining +50% 1m 13.912874731000002s remaining +58% 1m 1.8005748409999995s remaining +67% 49.326207453s remaining +75% 36.819779081s remaining +83% 24.491475752s remaining +92% 12.269530106s remaining + +Took 2m 27.772294786000003s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[41384241, 41964746, 42547693, 43133335, 43719750, 44308385, 44900831, 45493783, 46090514, 46688250, 47288241, 47891125, 48495523, 49102270, 49711729, 50323144, 50937662, 51553591, 52171645, 52791719, 53415040, 54039199, 54666143, 55296700, 55929116, 56562645, 57197055, 57833681, 58472820, 59115406, 59759041, 60403882, 61051207, 61700507, 62352920, 63006664, 63662346, 64319973, 64979532, 65639875, 66302668, 66967337, 67635230, 68303518, 68975644, 69649726, 70324294, 71000240, 71678989, 72359912, 73041098, 73725751, 74412195, 75099253, 75788682, 76481504, 77173997, 77868751, 78566875, 79266493, 79966818, 80670107, 81376319, 82083345, 82792028, 83502049, 84212399, 84926078, 85639621, 86355736, 87075312, 87794551, 88515112, 89238451, 89964004, 90690942, 91419482, 92149936, 92881611, 93615357, 94352097, 95088430, 95825989, 96565694, 97308093, 98050947, 98796342, 99543487, 100291363, 101041859, 101794525, 102548106, 103302768, 104060890, 104820087, 105580563, 106343747, 107108492, 107872399, 108639755] + +Built regression model! +Model info: + r^2: 0.9999999917061846 + p-value: 0 + intercept: -3.286820335108306 + slope: 1.4126702715887578 +Fractal dimension: 1.4126702715887578 diff --git a/fractal_dimension/circle_counting_new/output5e6/antiprisms/nonagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output5e6/antiprisms/nonagonal_antiprism.txt new file mode 100644 index 0000000..d9ac70b --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/antiprisms/nonagonal_antiprism.txt @@ -0,0 +1,35 @@ +Counting circles +6% 15.504961825s remaining +11% 14.586835288s remaining +17% 14.452077385s remaining +22% 14.871100429s remaining +28% 15.205495432s remaining +33% 15.100145578s remaining +39% 14.378733818s remaining +44% 13.117846138s remaining +50% 11.56226492s remaining +56% 9.571692876s remaining +61% 7.896488057s remaining +67% 6.479997123s remaining +72% 5.240233444s remaining +78% 4.100016984s remaining +83% 3.015233296s remaining +89% 1.967648748s remaining +94% 0.958498623s remaining + +Took 16.739721411s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[3191056, 3236866, 3282426, 3328332, 3374487, 3420610, 3467007, 3513615, 3560286, 3607741, 3655145, 3702752, 3750112, 3797853, 3845612, 3894068, 3941606, 3989508, 4037480, 4086015, 4134487, 4183610, 4232509, 4282344, 4332347, 4382200, 4431643, 4482179, 4531634, 4581294, 4631974, 4682714, 4732978, 4783504, 4834862, 4885579, 4937926, 4989751, 5041333, 5092717, 5145275, 5197224, 5249465, 5302081, 5355105, 5407824, 5461880, 5515362, 5568961, 5623628, 5677627, 5731837, 5785773, 5840773, 5895104, 5950064, 6003873, 6058992, 6114228, 6169405, 6224434, 6280412, 6335996, 6392200, 6448060, 6504795, 6561664, 6618104, 6675532, 6731871, 6788707, 6845659, 6903132, 6960439, 7017421, 7075083, 7132054, 7189872, 7248142, 7307007, 7365466, 7423651, 7481974, 7540439, 7599631, 7658790, 7718140, 7777379, 7837314, 7897667, 7957839, 8017165, 8076652, 8137613, 8197387, 8257773, 8318090, 8377954, 8438522, 8499238] + +Built regression model! +Model info: + r^2: 0.999998641475668 + p-value: 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000026639316812135837 + intercept: -6.157046900241987 + slope: 1.4335399260390551 +Fractal dimension: 1.4335399260390551 diff --git a/fractal_dimension/circle_counting_new/output5e6/antiprisms/octagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output5e6/antiprisms/octagonal_antiprism.txt new file mode 100644 index 0000000..4918945 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/antiprisms/octagonal_antiprism.txt @@ -0,0 +1,33 @@ +Counting circles +6% 4m 1.5345833549999952s remaining +13% 3m 37.24974907999999s remaining +19% 3m 11.276425461000002s remaining +25% 2m 47.398930089000004s remaining +31% 2m 28.050156044999994s remaining +38% 2m 13.204287192999999s remaining +44% 2m 1.3325882649999983s remaining +50% 1m 50.262948984000005s remaining +56% 1m 37.942192508000005s remaining +63% 1m 23.981031474999995s remaining +69% 1m 9.203282712000004s remaining +75% 54.552296948s remaining +81% 40.517501574s remaining +88% 27.01369957s remaining +94% 13.610125192s remaining + +Took 3m 40.075362178999995s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[46423915, 47082817, 47741829, 48405444, 49070399, 49738230, 50409644, 51084246, 51762053, 52442090, 53125240, 53807757, 54494798, 55184589, 55877401, 56573124, 57270811, 57971042, 58672470, 59375250, 60083253, 60794512, 61505884, 62220504, 62938129, 63657399, 64379998, 65105651, 65832545, 66562794, 67294826, 68029613, 68766539, 69506627, 70247982, 70991995, 71737917, 72485385, 73232898, 73985692, 74742894, 75500011, 76259830, 77023709, 77788269, 78555595, 79326201, 80096341, 80869764, 81644684, 82421687, 83201516, 83983568, 84769171, 85555106, 86345594, 87136488, 87928077, 88723883, 89524306, 90326300, 91126664, 91931667, 92737461, 93545262, 94356515, 95169148, 95981103, 96798522, 97616400, 98437031, 99258669, 100084938, 100911312, 101738696, 102568041, 103400334, 104236522, 105072494, 105910671, 106752597, 107592838, 108436895, 109282556, 110131182, 110982113, 111833191, 112686597, 113543627, 114402232, 115263467, 116123873, 116986209, 117852535, 118719554, 119590314, 120462755, 121336136, 122212130, 123090596] + +Built regression model! +Model info: + r^2: 0.9999999872048254 + p-value: 0 + intercept: -3.386614700114823 + slope: 1.4272389270276586 +Fractal dimension: 1.4272389270276586 diff --git a/fractal_dimension/circle_counting_new/output5e6/antiprisms/pentagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output5e6/antiprisms/pentagonal_antiprism.txt new file mode 100644 index 0000000..876d3d6 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/antiprisms/pentagonal_antiprism.txt @@ -0,0 +1,27 @@ +Counting circles +10% 1m 56.706730787s remaining +20% 1m 43.274625168s remaining +30% 1m 30.055672342999998s remaining +40% 1m 17.138166807999994s remaining +50% 1m 4.3644619009999985s remaining +60% 51.51419892s remaining +70% 38.603425885s remaining +80% 25.715213838s remaining +90% 12.860720898s remaining + +Took 2m 8.709570227s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[37495592, 38016450, 38539137, 39063880, 39591843, 40120808, 40652422, 41185371, 41719949, 42256741, 42797303, 43337340, 43879287, 44423437, 44969079, 45519979, 46069764, 46622383, 47176754, 47731729, 48289712, 48849678, 49411654, 49974599, 50539960, 51105001, 51673323, 52244026, 52816786, 53390336, 53965240, 54541881, 55119751, 55700961, 56282469, 56867576, 57454116, 58042350, 58631639, 59221714, 59815116, 60410368, 61005985, 61604446, 62204505, 62805250, 63409427, 64013990, 64619458, 65226426, 65836516, 66447217, 67062217, 67676335, 68292611, 68911140, 69530009, 70151051, 70772349, 71395992, 72020308, 72646516, 73276387, 73906724, 74538179, 75171823, 75807153, 76443226, 77081290, 77720495, 78362814, 79004882, 79647476, 80291134, 80938423, 81585579, 82234167, 82884445, 83536057, 84191684, 84847410, 85503930, 86161620, 86821156, 87483053, 88145449, 88809551, 89475964, 90142997, 90812242, 91482791, 92153339, 92826116, 93500363, 94175509, 94852281, 95529960, 96209076, 96889980, 97572210] + +Built regression model! +Model info: + r^2: 0.9999999899311123 + p-value: 0 + intercept: -3.1948880029924602 + slope: 1.3997442943953209 +Fractal dimension: 1.3997442943953209 diff --git a/fractal_dimension/circle_counting_new/output5e6/antiprisms/square_antiprism.txt b/fractal_dimension/circle_counting_new/output5e6/antiprisms/square_antiprism.txt new file mode 100644 index 0000000..43b1975 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/antiprisms/square_antiprism.txt @@ -0,0 +1,25 @@ +Counting circles +13% 1m 17.911394582s remaining +25% 1m 6.829101782999999s remaining +38% 55.70217336s remaining +50% 44.546314516s remaining +63% 33.407896798s remaining +75% 22.281335511s remaining +88% 11.141024086s remaining + +Took 1m 29.111251581999994s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[31857402, 32293448, 32730680, 33168261, 33608746, 34049268, 34494296, 34940479, 35386105, 35833931, 36283482, 36735351, 37189301, 37644749, 38100049, 38557912, 39016881, 39476335, 39938988, 40403060, 40867683, 41335072, 41803672, 42272769, 42744673, 43217801, 43691593, 44166372, 44642535, 45120220, 45598157, 46079094, 46560435, 47044395, 47528630, 48013470, 48501185, 48989869, 49481139, 49972604, 50465456, 50960510, 51455586, 51951551, 52448942, 52947605, 53447978, 53949668, 54453724, 54957615, 55462678, 55969646, 56477237, 56987283, 57498297, 58010564, 58523910, 59038193, 59553968, 60069922, 60588568, 61108452, 61629274, 62152879, 62675639, 63199734, 63723355, 64250089, 64777272, 65304032, 65834219, 66366231, 66899768, 67433610, 67966896, 68501829, 69038172, 69576481, 70114726, 70654033, 71196351, 71737911, 72282195, 72827999, 73371737, 73918441, 74465634, 75014990, 75564177, 76115982, 76667985, 77221067, 77775784, 78331115, 78888378, 79446763, 80004878, 80565219, 81124505, 81686667] + +Built regression model! +Model info: + r^2: 0.9999999371708452 + p-value: 0 + intercept: -3.04288077898606 + slope: 1.3783795076765932 +Fractal dimension: 1.3783795076765932 diff --git a/fractal_dimension/circle_counting_new/output5e6/misc/6v7f1.txt b/fractal_dimension/circle_counting_new/output5e6/misc/6v7f1.txt new file mode 100644 index 0000000..9e05232 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/misc/6v7f1.txt @@ -0,0 +1,23 @@ +Counting circles +17% 58.04141762s remaining +33% 38.399393178s remaining +50% 23.226033815s remaining +67% 13.62564978s remaining +83% 6.968823202s remaining + +Took 38.465143253s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[20618929, 20888741, 21160599, 21433324, 21707173, 21980209, 22255601, 22531738, 22808632, 23085462, 23364232, 23643560, 23923632, 24203671, 24485227, 24768203, 25051681, 25335620, 25619902, 25905100, 26191787, 26478644, 26766244, 27054187, 27343185, 27633012, 27923288, 28214296, 28507489, 28801604, 29094988, 29389508, 29684650, 29980726, 30277312, 30573918, 30872483, 31171117, 31470265, 31770778, 32071892, 32374390, 32677038, 32979817, 33283874, 33587914, 33893360, 34197624, 34503344, 34810569, 35116653, 35425555, 35733174, 36043161, 36354365, 36664843, 36976556, 37288632, 37602081, 37916019, 38229759, 38544144, 38860356, 39175412, 39492984, 39809407, 40127520, 40445957, 40764966, 41084264, 41403868, 41724260, 42046117, 42367185, 42689895, 43013882, 43337823, 43661993, 43987441, 44313799, 44639883, 44965449, 45294238, 45621543, 45950542, 46279548, 46609136, 46940272, 47270228, 47602674, 47934799, 48267926, 48602157, 48935537, 49270157, 49605131, 49941688, 50277770, 50614319, 50951844] + +Built regression model! +Model info: + r^2: 0.9999999890394669 + p-value: 0 + intercept: -2.677839189247944 + slope: 1.3240996138103203 +Fractal dimension: 1.3240996138103203 diff --git a/fractal_dimension/circle_counting_new/output5e6/misc/6v7f2.txt b/fractal_dimension/circle_counting_new/output5e6/misc/6v7f2.txt new file mode 100644 index 0000000..6b36f39 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/misc/6v7f2.txt @@ -0,0 +1,23 @@ +Counting circles +17% 25.20634698s remaining +33% 20.206906184s remaining +50% 12.639524828s remaining +67% 8.933948695s remaining +83% 4.077009064s remaining + +Took 25.612746673s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[13724921, 13906675, 14090305, 14273576, 14457455, 14641515, 14825677, 15011913, 15196836, 15384216, 15571490, 15760178, 15948149, 16135997, 16325980, 16516527, 16707120, 16898730, 17091545, 17284132, 17477194, 17671345, 17865924, 18060170, 18255739, 18452345, 18648398, 18845033, 19042014, 19240018, 19438322, 19637438, 19836864, 20036240, 20236651, 20438035, 20639394, 20840717, 21042833, 21245917, 21450491, 21654989, 21859438, 22064750, 22269297, 22475347, 22680898, 22887038, 23093450, 23301017, 23509598, 23718407, 23927771, 24138510, 24347504, 24557289, 24767221, 24978441, 25189920, 25402105, 25614743, 25827544, 26041423, 26255652, 26471510, 26684821, 26900128, 27115947, 27332025, 27548895, 27766024, 27983613, 28201878, 28419674, 28638464, 28857380, 29076635, 29297667, 29518513, 29738868, 29960381, 30181819, 30403857, 30625549, 30848179, 31071842, 31296528, 31520999, 31746371, 31971192, 32196445, 32422505, 32648194, 32874572, 33101312, 33327816, 33556240, 33785501, 34013652, 34242027] + +Built regression model! +Model info: + r^2: 0.9999999577142555 + p-value: 0 + intercept: -3.293932380549613 + slope: 1.3382812247452276 +Fractal dimension: 1.3382812247452276 diff --git a/fractal_dimension/circle_counting_new/output5e6/misc/cuboctohedron.txt b/fractal_dimension/circle_counting_new/output5e6/misc/cuboctohedron.txt new file mode 100644 index 0000000..bf91db3 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/misc/cuboctohedron.txt @@ -0,0 +1,29 @@ +Counting circles +8% 4m 5.927785365999995s remaining +17% 3m 43.57450785399999s remaining +25% 3m 21.230585022000014s remaining +33% 2m 58.912295553999996s remaining +42% 2m 36.50520428799999s remaining +50% 2m 14.139094556000003s remaining +58% 1m 51.782611513000006s remaining +67% 1m 29.418925767999994s remaining +75% 1m 7.0590609220000005s remaining +83% 44.703373431s remaining +92% 22.351817596s remaining + +Took 4m 28.22020998900001s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[64099829, 65024284, 65954424, 66886889, 67824599, 68764280, 69709757, 70660481, 71613929, 72571180, 73532165, 74494952, 75463129, 76435153, 77410246, 78389171, 79375332, 80363725, 81355055, 82351490, 83350134, 84354380, 85363094, 86375540, 87390511, 88408396, 89428647, 90455471, 91482820, 92516094, 93550638, 94592824, 95637396, 96685609, 97734745, 98788097, 99845391, 100905460, 101970582, 103040119, 104112623, 105184690, 106263055, 107344377, 108430665, 109519335, 110610643, 111706476, 112805105, 113908065, 115013391, 116121048, 117231449, 118346322, 119464701, 120586811, 121709431, 122839311, 123970736, 125103924, 126242754, 127383152, 128527741, 129674265, 130824074, 131977673, 133134786, 134296212, 135460521, 136628717, 137800129, 138972926, 140149276, 141329837, 142511464, 143696128, 144883911, 146076043, 147269939, 148465855, 149665758, 150868694, 152075582, 153285845, 154499235, 155715496, 156933169, 158153097, 159375491, 160601575, 161831806, 163062788, 164296558, 165535731, 166778243, 168023570, 169270870, 170518619, 171771798, 173027906] + +Built regression model! +Model info: + r^2: 0.9999999918212475 + p-value: 0 + intercept: -3.4506867402818244 + slope: 1.453469278662681 +Fractal dimension: 1.453469278662681 diff --git a/fractal_dimension/circle_counting_new/output5e6/misc/truncated_icosahedron.txt b/fractal_dimension/circle_counting_new/output5e6/misc/truncated_icosahedron.txt new file mode 100644 index 0000000..b291477 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/misc/truncated_icosahedron.txt @@ -0,0 +1,77 @@ +Counting circles +2% 24m 26.480965574000038s remaining +3% 20m 22.4994273719999s remaining +5% 20m 34.12542716899998s remaining +7% 18m 48.84645810999996s remaining +8% 19m 5.2462323279999055s remaining +10% 19m 12.98152552800002s remaining +12% 18m 12.931889282999919s remaining +13% 17m 26.53145115999996s remaining +15% 17m 4.9660102780001125s remaining +17% 16m 34.90436453500001s remaining +18% 16m 23.406833948999974s remaining +20% 16m 2.755230107999978s remaining +22% 15m 59.82801344999996s remaining +23% 15m 31.481240226999944s remaining +25% 15m 26.737134588000004s remaining +27% 15m 0.5264550480000025s remaining +28% 14m 42.165369767000016s remaining +30% 14m 9.329666968999959s remaining +32% 13m 52.67871406300003s remaining +33% 13m 23.183553028000006s remaining +35% 13m 10.45570184099995s remaining +37% 12m 52.619184779999955s remaining +38% 12m 39.72559658800003s remaining +40% 12m 22.218187467999996s remaining +42% 11m 57.190387620000024s remaining +43% 11m 30.178353044000005s remaining +45% 11m 7.345036286999971s remaining +47% 10m 42.529940581000005s remaining +48% 10m 24.27237793400002s remaining +50% 10m 2.610435534999965s remaining +52% 9m 45.78274105599996s remaining +53% 9m 25.83547281999995s remaining +55% 9m 5.409545621999996s remaining +57% 8m 42.780402760000015s remaining +58% 8m 23.805885574s remaining +60% 8m 2.2807997379999847s remaining +62% 7m 43.81517053800002s remaining +63% 7m 22.009846110000012s remaining +65% 7m 4.095571729000028s remaining +67% 6m 43.092668328s remaining +68% 6m 23.452637901999992s remaining +70% 6m 1.5369684639999832s remaining +72% 5m 42.463710628s remaining +73% 5m 21.28806210900001s remaining +75% 5m 2.968063289999975s remaining +77% 4m 42.659561027999985s remaining +78% 4m 24.01312253399999s remaining +80% 4m 3.675743694999994s remaining +82% 3m 43.21464753500001s remaining +83% 3m 21.854460415999995s remaining +85% 3m 1.6283826529999885s remaining +87% 2m 40.688354057s remaining +88% 2m 20.92504857200001s remaining +90% 2m 0.9029776059999932s remaining +92% 1m 41.106260176000006s remaining +93% 1m 21.052635941999995s remaining +95% 1m 0.6409266659999986s remaining +97% 40.289228879s remaining +98% 20.120628495s remaining + +Took 20m 4.567134616999965s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[107247619, 109013095, 110789651, 112577709, 114377698, 116185654, 118009740, 119843889, 121687361, 123542521, 125409081, 127287909, 129177404, 131076462, 132989733, 134910153, 136844957, 138786855, 140741435, 142708134, 144684717, 146669340, 148667300, 150673612, 152693351, 154721179, 156762287, 158813409, 160874760, 162948546, 165031691, 167123758, 169228897, 171343616, 173463714, 175595514, 177739680, 179894565, 182060316, 184235232, 186420627, 188613551, 190816983, 193031409, 195254942, 197492872, 199739658, 201995307, 204261199, 206538775, 208823168, 211118663, 213425470, 215742341, 218070092, 220403611, 222749246, 225102403, 227467868, 229842902, 232226262, 234619254, 237023813, 239437634, 241858605, 244291112, 246734123, 249189387, 251653229, 254124351, 256605802, 259097077, 261600373, 264111545, 266629980, 269160315, 271698466, 274246428, 276801685, 279367843, 281944316, 284528331, 287123531, 289728668, 292346071, 294969713, 297603218, 300241509, 302892579, 305550946, 308219071, 310897141, 313585057, 316284974, 318988612, 321704392, 324429096, 327163874, 329909309, 332658935] + +Built regression model! +Model info: + r^2: 0.9999999936837967 + p-value: 0 + intercept: -5.9332210118698185 + slope: 1.6567858782696363 +Fractal dimension: 1.6567858782696363 diff --git a/fractal_dimension/circle_counting_new/output5e6/platonic_solids/cube.txt b/fractal_dimension/circle_counting_new/output5e6/platonic_solids/cube.txt new file mode 100644 index 0000000..2ad5d3d --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/platonic_solids/cube.txt @@ -0,0 +1,25 @@ +Counting circles +13% 1m 23.543865916s remaining +25% 1m 11.606049705000004s remaining +38% 59.659300823s remaining +50% 47.722955502s remaining +63% 35.78743337s remaining +75% 23.857478891s remaining +88% 11.928390182s remaining + +Took 1m 35.421574705s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[54715954, 55519683, 56327632, 57139495, 57955675, 58775255, 59595691, 60424166, 61254536, 62086666, 62923588, 63764252, 64609841, 65456971, 66309181, 67162506, 68022363, 68886293, 69752075, 70620990, 71491397, 72368080, 73249819, 74134313, 75021465, 75910291, 76804257, 77700402, 78600141, 79504795, 80412950, 81323042, 82237335, 83153003, 84073425, 84995790, 85925326, 86854016, 87787179, 88725561, 89663409, 90604337, 91549938, 92497762, 93448068, 94402193, 95361352, 96323101, 97290073, 98256934, 99228877, 100203578, 101179844, 102161121, 103146076, 104132478, 105123685, 106113095, 107109647, 108108298, 109110552, 110116026, 111123450, 112134572, 113147274, 114163237, 115183565, 116206100, 117231635, 118261410, 119295941, 120327484, 121366203, 122406495, 123448644, 124491155, 125541830, 126594683, 127648355, 128706466, 129767968, 130829795, 131896136, 132961016, 134031509, 135107982, 136186324, 137267484, 138350020, 139435061, 140523423, 141612291, 142704041, 143801703, 144902274, 145999583, 147103727, 148211588, 149318673, 150428680] + +Built regression model! +Model info: + r^2: 0.9999999914002383 + p-value: 0 + intercept: -4.004326157975811 + slope: 1.4802852687982206 +Fractal dimension: 1.4802852687982206 diff --git a/fractal_dimension/circle_counting_new/output5e6/platonic_solids/dodecahedron.txt b/fractal_dimension/circle_counting_new/output5e6/platonic_solids/dodecahedron.txt new file mode 100644 index 0000000..00bf433 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/platonic_solids/dodecahedron.txt @@ -0,0 +1,37 @@ +Counting circles +5% 4m 58.245842950999986s remaining +10% 4m 41.878609401000006s remaining +15% 4m 25.739009837000026s remaining +20% 4m 10.630901311999992s remaining +25% 3m 54.69055716599999s remaining +30% 3m 39.166557651999995s remaining +35% 3m 23.457559191s remaining +40% 3m 7.936659786999996s remaining +45% 2m 52.24464822600001s remaining +50% 2m 36.62684419199999s remaining +55% 2m 20.937241852s remaining +60% 2m 5.302562637999998s remaining +65% 1m 49.616666218000006s remaining +70% 1m 33.944339654000004s remaining +75% 1m 18.314810292999994s remaining +80% 1m 2.660172979000002s remaining +85% 46.978668421s remaining +90% 31.322866869s remaining +95% 15.655198336s remaining + +Took 5m 13.181051993999972s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[79590835, 80852458, 82120444, 83395819, 84681163, 85973481, 87273098, 88578698, 89892220, 91213312, 92541126, 93875681, 95217875, 96566793, 97920869, 99283618, 100653122, 102030692, 103416345, 104805316, 106200382, 107603825, 109014091, 110432079, 111857258, 113290232, 114727706, 116173402, 117626001, 119085605, 120550800, 122022673, 123502107, 124989806, 126480075, 127978541, 129481354, 130993983, 132514428, 134039015, 135570607, 137108629, 138651798, 140202863, 141760144, 143324875, 144896564, 146472355, 148057551, 149644836, 151244323, 152843724, 154449479, 156063126, 157682493, 159308498, 160945024, 162584530, 164233354, 165885997, 167542730, 169207001, 170876944, 172552417, 174236823, 175924478, 177618257, 179319227, 181026161, 182737769, 184456982, 186182255, 187913438, 189650689, 191394601, 193141900, 194895613, 196655205, 198421397, 200192251, 201970321, 203753934, 205544024, 207338730, 209141140, 210947777, 212761081, 214581372, 216405689, 218237424, 220073642, 221917007, 223764538, 225620873, 227481627, 229346607, 231218832, 233093643, 234975515, 236863001] + +Built regression model! +Model info: + r^2: 0.9999999972002772 + p-value: 0 + intercept: -5.338839979045563 + slope: 1.5962336117834885 +Fractal dimension: 1.5962336117834885 diff --git a/fractal_dimension/circle_counting_new/output5e6/platonic_solids/icosahedron.txt b/fractal_dimension/circle_counting_new/output5e6/platonic_solids/icosahedron.txt new file mode 100644 index 0000000..3872b9c --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/platonic_solids/icosahedron.txt @@ -0,0 +1,29 @@ +Counting circles +8% 2m 19.789940642000005s remaining +17% 2m 6.825529524999993s remaining +25% 1m 54.061698132000004s remaining +33% 1m 41.317404544s remaining +42% 1m 28.643071414000005s remaining +50% 1m 15.966760743999998s remaining +58% 1m 3.297880884999998s remaining +67% 50.634331662s remaining +75% 37.969665878s remaining +83% 25.311471287s remaining +92% 12.65514402s remaining + +Took 2m 31.85619235499999s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[26598861, 26961671, 27325335, 27690163, 28056066, 28424621, 28793563, 29164343, 29535103, 29907560, 30281689, 30656520, 31032415, 31410946, 31790036, 32170913, 32552738, 32935591, 33319342, 33704322, 34090698, 34478119, 34866517, 35255861, 35647229, 36039836, 36433413, 36827355, 37222265, 37618215, 38015970, 38415048, 38816087, 39217509, 39619748, 40022668, 40427650, 40833099, 41239984, 41647670, 42056082, 42465903, 42876331, 43287930, 43699936, 44114235, 44528969, 44945125, 45362100, 45781378, 46201711, 46622515, 47043488, 47465840, 47889879, 48314684, 48739169, 49166937, 49594258, 50022122, 50451608, 50882232, 51313169, 51745720, 52178834, 52613790, 53049216, 53486461, 53924163, 54361739, 54799602, 55239959, 55680897, 56123332, 56566729, 57010375, 57454396, 57900750, 58346358, 58794097, 59242789, 59692178, 60142982, 60594616, 61047384, 61501590, 61955638, 62410687, 62868086, 63324635, 63783244, 64241593, 64701471, 65162078, 65624502, 66088388, 66552141, 67017184, 67482846, 67948690] + +Built regression model! +Model info: + r^2: 0.9999999654515446 + p-value: 0 + intercept: -3.137063280158088 + slope: 1.3725356174024972 +Fractal dimension: 1.3725356174024972 diff --git a/fractal_dimension/circle_counting_new/output5e6/platonic_solids/octahedron.txt b/fractal_dimension/circle_counting_new/output5e6/platonic_solids/octahedron.txt new file mode 100644 index 0000000..5d1f602 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/platonic_solids/octahedron.txt @@ -0,0 +1,23 @@ +Counting circles +17% 41.31047941s remaining +33% 33.047328825s remaining +50% 24.784346286s remaining +67% 16.523202312s remaining +83% 8.261142823s remaining + +Took 49.569817152s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[23017739, 23322172, 23628083, 23935876, 24244300, 24552714, 24864839, 25176604, 25488840, 25802224, 26115270, 26431333, 26747265, 27063810, 27381747, 27701116, 28020946, 28340716, 28662491, 28983100, 29306005, 29628946, 29953651, 30278798, 30604869, 30932532, 31259618, 31588398, 31916901, 32248884, 32580231, 32914210, 33246705, 33580472, 33915107, 34251218, 34588059, 34924608, 35262524, 35600558, 35939783, 36280892, 36621609, 36966032, 37307920, 37652098, 37997479, 38344072, 38690865, 39039962, 39387936, 39736914, 40087241, 40437106, 40789001, 41139770, 41493312, 41845002, 42200005, 42556110, 42910723, 43266120, 43622876, 43980112, 44339592, 44698218, 45060703, 45421778, 45783245, 46143307, 46506957, 46869180, 47232901, 47596744, 47962124, 48328120, 48694209, 49060850, 49428461, 49797888, 50165308, 50534880, 50904444, 51275190, 51649373, 52022350, 52396734, 52772246, 53146700, 53522168, 53899077, 54277868, 54657186, 55036302, 55414618, 55794174, 56175520, 56557974, 56939109, 57321940] + +Built regression model! +Model info: + r^2: 0.9999999102772524 + p-value: 0 + intercept: -2.7314868971336246 + slope: 1.3352181431530956 +Fractal dimension: 1.3352181431530956 diff --git a/fractal_dimension/circle_counting_new/output5e6/platonic_solids/tetrahedron.txt b/fractal_dimension/circle_counting_new/output5e6/platonic_solids/tetrahedron.txt new file mode 100644 index 0000000..e69de29 diff --git a/fractal_dimension/circle_counting_new/output5e6/prisms/decagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e6/prisms/decagonal_prism.txt new file mode 100644 index 0000000..bdbb077 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/prisms/decagonal_prism.txt @@ -0,0 +1,37 @@ +Counting circles +5% 5m 17.03139544200002s remaining +10% 4m 49.050330257999974s remaining +15% 4m 20.41510667900002s remaining +20% 3m 54.007972335999995s remaining +25% 3m 31.510387796999993s remaining +30% 3m 13.428902999999991s remaining +35% 2m 59.212496578000014s remaining +40% 2m 47.501225790999996s remaining +45% 2m 36.67734359299999s remaining +50% 2m 25.29588347500001s remaining +55% 2m 12.524313970000009s remaining +60% 1m 58.26603204600001s remaining +65% 1m 42.977335342s remaining +70% 1m 27.337849562000002s remaining +75% 1m 11.929343251000006s remaining +80% 57.045181123s remaining +85% 42.666213086s remaining +90% 28.550049058s remaining +95% 14.393401261s remaining + +Took 4m 50.59211685399998s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[75956946, 77132304, 78315813, 79505739, 80702168, 81904265, 83112502, 84327777, 85549173, 86776755, 88010684, 89252343, 90498731, 91751268, 93011653, 94276914, 95548056, 96827680, 98112542, 99401906, 100698011, 102001485, 103310051, 104625445, 105943451, 107268694, 108599089, 109935635, 111280227, 112628443, 113983277, 115346221, 116712292, 118083224, 119461700, 120845166, 122235884, 123630063, 125028365, 126437501, 127852529, 129270200, 130695052, 132125324, 133559756, 135000493, 136446320, 137898444, 139355853, 140815920, 142283706, 143757736, 145237920, 146721667, 148213099, 149708264, 151209837, 152715576, 154227783, 155743901, 157267440, 158794909, 160326785, 161866070, 163410067, 164960055, 166513547, 168070153, 169634057, 171205867, 172780047, 174361704, 175945656, 177538069, 179129773, 180731567, 182339053, 183951112, 185568417, 187192230, 188817321, 190446275, 192082260, 193720650, 195365138, 197018214, 198672973, 200336295, 202001105, 203673578, 205349202, 207027772, 208712807, 210402363, 212097408, 213797896, 215503777, 217214387, 218928978, 220649153] + +Built regression model! +Model info: + r^2: 0.9999999940671056 + p-value: 0 + intercept: -4.866124744148305 + slope: 1.5609902215830394 +Fractal dimension: 1.5609902215830394 diff --git a/fractal_dimension/circle_counting_new/output5e6/prisms/heptagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e6/prisms/heptagonal_prism.txt new file mode 100644 index 0000000..0f5fc61 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/prisms/heptagonal_prism.txt @@ -0,0 +1,31 @@ +Counting circles +7% 3m 8.179037357999988s remaining +14% 2m 51.96274283400001s remaining +21% 2m 36.314313209999995s remaining +29% 2m 21.43181132699999s remaining +36% 2m 7.284840080999999s remaining +43% 1m 53.503842409s remaining +50% 1m 39.676436882999994s remaining +57% 1m 25.589484731s remaining +64% 1m 11.278571162999995s remaining +71% 56.905342371s remaining +79% 42.599842453s remaining +86% 28.390282984s remaining +93% 14.212040205s remaining + +Took 3m 19.303750288000003s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[71202263, 72290917, 73386786, 74490555, 75600202, 76715033, 77834075, 78960560, 80092546, 81229185, 82371479, 83517733, 84671466, 85831846, 86999396, 88168376, 89343921, 90524497, 91708865, 92898482, 94096513, 95298281, 96505093, 97718635, 98937573, 100161504, 101390025, 102626812, 103866823, 105112675, 106362348, 107617254, 108877251, 110143113, 111414665, 112692672, 113974282, 115261223, 116553969, 117849178, 119151687, 120459074, 121768656, 123083256, 124404712, 125730607, 127063071, 128398633, 129739388, 131087115, 132436664, 133792812, 135153765, 136520498, 137890141, 139263391, 140643120, 142027380, 143415749, 144810639, 146208644, 147611024, 149020607, 150430811, 151847765, 153269579, 154695405, 156127391, 157565123, 159005027, 160450901, 161903020, 163357607, 164818296, 166280294, 167750721, 169224904, 170701641, 172183834, 173667687, 175157474, 176653352, 178153613, 179661094, 181169886, 182682710, 184200767, 185724931, 187250962, 188781730, 190318542, 191860894, 193405069, 194953742, 196507679, 198065708, 199629983, 201195486, 202764342, 204339802] + +Built regression model! +Model info: + r^2: 0.9999999942497466 + p-value: 0 + intercept: -4.666108540679971 + slope: 1.5430433498849396 +Fractal dimension: 1.5430433498849396 diff --git a/fractal_dimension/circle_counting_new/output5e6/prisms/hexagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e6/prisms/hexagonal_prism.txt new file mode 100644 index 0000000..9a12716 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/prisms/hexagonal_prism.txt @@ -0,0 +1,29 @@ +Counting circles +8% 2m 34.03225537700001s remaining +17% 2m 19.680801435000006s remaining +25% 2m 5.496418202000001s remaining +33% 1m 51.511321728s remaining +42% 1m 37.642871951000004s remaining +50% 1m 23.761130699000006s remaining +58% 1m 9.818558953999997s remaining +67% 55.834893678s remaining +75% 41.857564783s remaining +83% 27.899259294s remaining +92% 13.952698186s remaining + +Took 2m 47.49221862600001s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[68261631, 69300713, 70343898, 71392682, 72446475, 73506149, 74572104, 75641054, 76715679, 77797657, 78883820, 79975657, 81073030, 82174262, 83280881, 84391028, 85507365, 86627016, 87753476, 88885215, 90022597, 91164197, 92310390, 93461989, 94617816, 95780612, 96948981, 98121341, 99298755, 100480015, 101667100, 102858630, 104053840, 105255696, 106462578, 107671190, 108886188, 110106780, 111331984, 112561234, 113792911, 115031626, 116274554, 117523105, 118775590, 120033332, 121293379, 122560045, 123830433, 125105831, 126384719, 127668576, 128956646, 130249232, 131548280, 132849957, 134155421, 135465633, 136780885, 138101320, 139425438, 140755556, 142088166, 143421640, 144762625, 146108673, 147459513, 148815061, 150172941, 151535326, 152902921, 154275238, 155652203, 157030481, 158415645, 159802695, 161196703, 162595519, 164000498, 165406143, 166813069, 168223542, 169641868, 171062993, 172488761, 173920742, 175354960, 176792820, 178234880, 179682133, 181133778, 182588229, 184047296, 185509614, 186977513, 188448885, 189923468, 191402324, 192883372, 194370110] + +Built regression model! +Model info: + r^2: 0.9999999968161158 + p-value: 0 + intercept: -4.539655877478079 + slope: 1.5316045193585355 +Fractal dimension: 1.5316045193585355 diff --git a/fractal_dimension/circle_counting_new/output5e6/prisms/nonagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e6/prisms/nonagonal_prism.txt new file mode 100644 index 0000000..8e989c6 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/prisms/nonagonal_prism.txt @@ -0,0 +1,35 @@ +Counting circles +6% 4m 27.943460425000012s remaining +11% 4m 4.818836927999996s remaining +17% 3m 41.739847s remaining +22% 3m 20.692683124000013s remaining +28% 3m 2.7083231500000124s remaining +33% 2m 47.745421488000005s remaining +39% 2m 34.849749237s remaining +44% 2m 22.735131260999992s remaining +50% 2m 10.266124950000005s remaining +56% 1m 56.819987534999996s remaining +61% 1m 42.365590870999995s remaining +67% 1m 27.301764191000004s remaining +72% 1m 12.151678317999995s remaining +78% 57.292715917s remaining +83% 42.82480834s remaining +89% 28.599184164s remaining +94% 14.379081596s remaining + +Took 4m 20.521499038s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[74765304, 75922464, 77085106, 78252981, 79427402, 80608197, 81796424, 82990245, 84189207, 85394695, 86606310, 87823635, 89046947, 90277054, 91513499, 92756806, 94007107, 95261652, 96521759, 97786821, 99056587, 100333419, 101617040, 102904819, 104198933, 105497813, 106803914, 108117209, 109433499, 110753470, 112082006, 113417337, 114757068, 116102644, 117453559, 118811000, 120174081, 121542977, 122914837, 124294949, 125676951, 127068276, 128463365, 129863736, 131269917, 132681385, 134099683, 135520977, 136948991, 138380891, 139818734, 141262007, 142710319, 144165028, 145628369, 147094406, 148564259, 150042169, 151524058, 153010450, 154503213, 155999845, 157501414, 159010591, 160523072, 162039550, 163561562, 165088438, 166619335, 168159967, 169705150, 171253962, 172806829, 174364886, 175926279, 177494709, 179066606, 180643710, 182226391, 183813866, 185406059, 187002085, 188602777, 190208836, 191822037, 193437738, 195058103, 196684085, 198315415, 199951479, 201591055, 203234389, 204884529, 206541629, 208203284, 209869254, 211537150, 213208508, 214885575, 216568133] + +Built regression model! +Model info: + r^2: 0.9999999862074147 + p-value: 0 + intercept: -4.8180161446015966 + slope: 1.556661709691871 +Fractal dimension: 1.556661709691871 diff --git a/fractal_dimension/circle_counting_new/output5e6/prisms/octagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e6/prisms/octagonal_prism.txt new file mode 100644 index 0000000..bb718e0 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/prisms/octagonal_prism.txt @@ -0,0 +1,33 @@ +Counting circles +6% 3m 47.307890085s remaining +13% 3m 27.872211322999988s remaining +19% 3m 9.012222758000007s remaining +25% 2m 51.74728476600001s remaining +31% 2m 36.412012559000004s remaining +38% 2m 22.56451722s remaining +44% 2m 9.332054155999998s remaining +50% 1m 55.923302344999996s remaining +56% 1m 41.923336684999995s remaining +63% 1m 27.349579191000004s remaining +69% 1m 12.500016729999999s remaining +75% 57.710874658s remaining +81% 43.151337523s remaining +88% 28.776049761s remaining +94% 14.432349133s remaining + +Took 3m 51.816559833000014s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[73254821, 74381448, 75517214, 76656355, 77801639, 78953445, 80109593, 81273890, 82442531, 83618076, 84797498, 85985335, 87180047, 88378892, 89585501, 90795689, 92012873, 93233997, 94460527, 95697313, 96935984, 98180683, 99431006, 100687168, 101948167, 103214875, 104489168, 105769895, 107053927, 108343558, 109638902, 110939987, 112245837, 113555359, 114873944, 116195815, 117522663, 118854595, 120193445, 121538178, 122885876, 124239606, 125600247, 126964947, 128334498, 129708715, 131091606, 132477254, 133868791, 135264729, 136665310, 138071270, 139480993, 140898419, 142320526, 143744557, 145175719, 146609814, 148051671, 149499208, 150951276, 152409218, 153872218, 155338383, 156810863, 158287585, 159768087, 161255439, 162748977, 164245501, 165746619, 167253111, 168764295, 170279425, 171798723, 173323383, 174855107, 176389775, 177931643, 179476173, 181025909, 182578853, 184136104, 185699422, 187265677, 188839075, 190416126, 191996202, 193582612, 195172958, 196768405, 198367719, 199972413, 201581723, 203195458, 204813717, 206434921, 208062191, 209693739, 211330124] + +Built regression model! +Model info: + r^2: 0.9999999892361491 + p-value: 0 + intercept: -4.75302682341696 + slope: 1.5508604342170393 +Fractal dimension: 1.5508604342170393 diff --git a/fractal_dimension/circle_counting_new/output5e6/prisms/pentagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e6/prisms/pentagonal_prism.txt new file mode 100644 index 0000000..6b12947 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/prisms/pentagonal_prism.txt @@ -0,0 +1,27 @@ +Counting circles +10% 2m 0.6913617090000059s remaining +20% 1m 47.194127092s remaining +30% 1m 33.767926273s remaining +40% 1m 20.354604117999997s remaining +50% 1m 6.957104510999997s remaining +60% 53.567861107s remaining +70% 40.17699983s remaining +80% 26.785057335s remaining +90% 13.392928341s remaining + +Took 2m 13.924261220000005s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[63565629, 64520900, 65481289, 66445210, 67415536, 68390382, 69368760, 70352801, 71338163, 72331635, 73330918, 74332277, 75339174, 76351049, 77365780, 78387369, 79411594, 80439549, 81472100, 82509033, 83553255, 84601104, 85650607, 86705163, 87765370, 88831054, 89896245, 90969986, 92047721, 93131214, 94217361, 95308882, 96404382, 97501011, 98605909, 99712712, 100824493, 101937752, 103059360, 104182995, 105310055, 106442327, 107578336, 108717705, 109862785, 111010349, 112162777, 113318948, 114479497, 115644417, 116811718, 117986114, 119163209, 120344957, 121529045, 122717670, 123910398, 125107395, 126307511, 127511901, 128718888, 129929857, 131145037, 132366655, 133587428, 134812494, 136044110, 137278883, 138517774, 139760547, 141007315, 142255709, 143510458, 144766962, 146027247, 147291943, 148560440, 149833093, 151106995, 152387214, 153670643, 154956928, 156245142, 157539652, 158835811, 160136581, 161442718, 162752658, 164063942, 165379041, 166698244, 168021467, 169346504, 170677018, 172008965, 173347492, 174686436, 176030731, 177377317, 178727709] + +Built regression model! +Model info: + r^2: 0.9999999959837317 + p-value: 0 + intercept: -4.338090759603414 + slope: 1.5130969001675096 +Fractal dimension: 1.5130969001675096 diff --git a/fractal_dimension/circle_counting_new/output5e6/prisms/triangular_prism.txt b/fractal_dimension/circle_counting_new/output5e6/prisms/triangular_prism.txt new file mode 100644 index 0000000..814c8a0 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/prisms/triangular_prism.txt @@ -0,0 +1,23 @@ +Counting circles +17% 39.36060484s remaining +33% 31.472659978s remaining +50% 23.60021703s remaining +67% 15.729708776s remaining +83% 7.864401861s remaining + +Took 47.18622327s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[34539806, 35022010, 35506991, 35991852, 36479920, 36969244, 37461430, 37954991, 38451608, 38947978, 39447917, 39950356, 40451437, 40956289, 41460852, 41968972, 42477990, 42987094, 43500286, 44014523, 44531280, 45050480, 45572856, 46094001, 46619194, 47146159, 47673571, 48203849, 48734033, 49267858, 49802944, 50336992, 50874490, 51411760, 51952235, 52495072, 53038123, 53582546, 54128890, 54676689, 55227333, 55779072, 56332557, 56885808, 57440991, 57998700, 58558887, 59119874, 59681066, 60244992, 60812052, 61378988, 61946901, 62517044, 63088906, 63663556, 64237809, 64813940, 65391327, 65973186, 66553669, 67136988, 67719541, 68302888, 68888267, 69475957, 70064380, 70656069, 71248473, 71842905, 72438824, 73034597, 73631399, 74230303, 74831611, 75435325, 76039132, 76644107, 77252594, 77862200, 78472684, 79084122, 79696473, 80310626, 80926610, 81544567, 82162654, 82780878, 83398593, 84019608, 84643776, 85267208, 85892459, 86518200, 87146339, 87775908, 88406489, 89038501, 89671619, 90305222] + +Built regression model! +Model info: + r^2: 0.9999999651283338 + p-value: 0 + intercept: -3.3788743702360904 + slope: 1.4066520667559925 +Fractal dimension: 1.4066520667559925 diff --git a/fractal_dimension/circle_counting_new/output5e6/pyramids/decagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output5e6/pyramids/decagonal_pyramid.txt new file mode 100644 index 0000000..a480d83 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/pyramids/decagonal_pyramid.txt @@ -0,0 +1,28 @@ +Counting circles +9% 2m 5.416054340000002s remaining +18% 1m 3.4144383670000025s remaining +27% 41.895000333s remaining +36% 30.367291318s remaining +45% 22.756384719s remaining +55% 17.082992884s remaining +64% 12.534727218s remaining +73% 8.73320342s remaining +82% 5.469155994s remaining +91% 2.5974847199999997s remaining + +Took 27.428416899s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[9195000, 9315882, 9437271, 9558402, 9680219, 9803589, 9925910, 10049709, 10173511, 10297607, 10421990, 10546822, 10671531, 10797628, 10923510, 11049013, 11175626, 11302651, 11430495, 11558325, 11685755, 11814735, 11943433, 12072432, 12202052, 12331904, 12461854, 12591477, 12722420, 12853511, 12984586, 13115626, 13248063, 13380817, 13512748, 13647019, 13780510, 13914499, 14048664, 14183202, 14318198, 14452964, 14588197, 14724141, 14859311, 14995679, 15132736, 15269651, 15406469, 15544382, 15682355, 15820155, 15958684, 16096677, 16234803, 16374025, 16514363, 16653856, 16793920, 16934531, 17075123, 17215532, 17356864, 17498009, 17639034, 17781523, 17923917, 18066328, 18209802, 18353419, 18496938, 18639882, 18784447, 18928741, 19073235, 19217966, 19362939, 19508658, 19654378, 19800459, 19947022, 20093308, 20239638, 20386641, 20533545, 20680993, 20828499, 20975475, 21123734, 21272714, 21421129, 21569793, 21719344, 21868326, 22018442, 22169527, 22320773, 22471161, 22621817, 22772486] + +Built regression model! +Model info: + r^2: 0.9999999739519637 + p-value: 0 + intercept: -3.5363242520541043 + slope: 1.3275494451026275 +Fractal dimension: 1.3275494451026275 diff --git a/fractal_dimension/circle_counting_new/output5e6/pyramids/heptagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output5e6/pyramids/heptagonal_pyramid.txt new file mode 100644 index 0000000..e6dbff2 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/pyramids/heptagonal_pyramid.txt @@ -0,0 +1,25 @@ +Counting circles +13% 1m 16.186047426000002s remaining +25% 38.906098839s remaining +38% 25.08903944s remaining +50% 17.137231221s remaining +63% 11.533868097s remaining +75% 7.102731625s remaining +88% 3.341923763s remaining + +Took 25.476456487s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[11864515, 12021356, 12180026, 12338037, 12496962, 12656305, 12816071, 12976059, 13136505, 13297482, 13459022, 13620774, 13783214, 13946465, 14110313, 14274803, 14438898, 14604232, 14769987, 14935493, 15102149, 15269191, 15436546, 15604102, 15772829, 15941432, 16110010, 16279666, 16449973, 16620368, 16791254, 16962584, 17134378, 17306811, 17480172, 17653035, 17826734, 18000931, 18175315, 18350108, 18525441, 18700745, 18876964, 19053254, 19230535, 19407948, 19586039, 19764321, 19942348, 20121243, 20301026, 20481140, 20661421, 20841488, 21022340, 21203610, 21385131, 21567634, 21749737, 21933421, 22116156, 22299421, 22483530, 22668948, 22853024, 23038035, 23223189, 23408589, 23595914, 23782078, 23968481, 24155807, 24343720, 24531828, 24720557, 24909336, 25098390, 25288813, 25477974, 25668434, 25858383, 26049539, 26241146, 26432678, 26625026, 26817245, 27009865, 27202345, 27395979, 27589079, 27783745, 27978515, 28173399, 28368046, 28564180, 28760066, 28956110, 29152545, 29349466, 29547681] + +Built regression model! +Model info: + r^2: 0.9999999904836941 + p-value: 0 + intercept: -3.3982603709588197 + slope: 1.3354817119076765 +Fractal dimension: 1.3354817119076765 diff --git a/fractal_dimension/circle_counting_new/output5e6/pyramids/hexagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output5e6/pyramids/hexagonal_pyramid.txt new file mode 100644 index 0000000..309a331 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/pyramids/hexagonal_pyramid.txt @@ -0,0 +1,24 @@ +Counting circles +14% 1m 2.7639718849999966s remaining +29% 32.48117585s remaining +43% 20.687304989s remaining +57% 13.5238968s remaining +71% 8.221831296s remaining +86% 3.847872812s remaining + +Took 25.624883328s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[13748880, 13931394, 14114184, 14298712, 14482659, 14667562, 14852615, 15037918, 15224273, 15412024, 15600702, 15788856, 15978199, 16167121, 16357427, 16547787, 16739476, 16931471, 17123696, 17315709, 17509309, 17703262, 17897600, 18092881, 18289031, 18484872, 18681664, 18878801, 19077133, 19274687, 19472873, 19671757, 19871187, 20072608, 20273773, 20474419, 20675607, 20877204, 21080306, 21282976, 21486611, 21690346, 21895062, 22100261, 22305807, 22511439, 22718829, 22925488, 23132968, 23341747, 23549966, 23758703, 23967392, 24177359, 24387477, 24598662, 24810198, 25021787, 25234323, 25447064, 25659264, 25872967, 26086949, 26301273, 26516599, 26731887, 26947315, 27163843, 27379584, 27597138, 27814465, 28031794, 28249884, 28468211, 28688063, 28908346, 29128537, 29349446, 29570040, 29790608, 30013059, 30235258, 30458189, 30680952, 30904764, 31128494, 31352264, 31576599, 31801312, 32026427, 32252723, 32478956, 32704676, 32931976, 33160026, 33386588, 33614385, 33843434, 34073402, 34302141] + +Built regression model! +Model info: + r^2: 0.9999999882290961 + p-value: 0 + intercept: -3.2903540036561303 + slope: 1.3381609177726845 +Fractal dimension: 1.3381609177726845 diff --git a/fractal_dimension/circle_counting_new/output5e6/pyramids/nonagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output5e6/pyramids/nonagonal_pyramid.txt new file mode 100644 index 0000000..f8f633a --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/pyramids/nonagonal_pyramid.txt @@ -0,0 +1,27 @@ +Counting circles +10% 1m 48.039186791999995s remaining +20% 54.638138344s remaining +30% 35.847936639s remaining +40% 25.618307884s remaining +50% 18.775575644s remaining +60% 13.614248891999999s remaining +70% 9.430221586s remaining +80% 5.886437153s remaining +90% 2.788028187s remaining + +Took 26.683700214s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[9802924, 9932730, 10062300, 10192673, 10323433, 10454563, 10586130, 10718013, 10850797, 10983555, 11116174, 11249330, 11382950, 11516762, 11651725, 11786292, 11922013, 12057971, 12194104, 12329825, 12466664, 12603627, 12741829, 12879853, 13017599, 13155981, 13294827, 13434121, 13573676, 13714198, 13854221, 13995332, 14137023, 14279171, 14421551, 14563959, 14706782, 14849495, 14992530, 15136240, 15279764, 15423914, 15568861, 15713929, 15859052, 16004463, 16150513, 16296423, 16442899, 16590386, 16737507, 16885411, 17033147, 17182186, 17330738, 17479576, 17628623, 17777687, 17927499, 18077700, 18227791, 18377691, 18528467, 18680208, 18832178, 18984062, 19136340, 19289075, 19442065, 19595686, 19748696, 19903013, 20056623, 20210890, 20365370, 20519940, 20675374, 20830371, 20985459, 21141591, 21297706, 21454665, 21612084, 21769050, 21926889, 22084469, 22242561, 22401129, 22559723, 22717908, 22877340, 23036965, 23197389, 23356918, 23517647, 23678127, 23838663, 23999806, 24161219, 24322913] + +Built regression model! +Model info: + r^2: 0.9999999786348255 + p-value: 0 + intercept: -3.5077310175564023 + slope: 1.3299659812531195 +Fractal dimension: 1.3299659812531195 diff --git a/fractal_dimension/circle_counting_new/output5e6/pyramids/octagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output5e6/pyramids/octagonal_pyramid.txt new file mode 100644 index 0000000..9a159e0 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/pyramids/octagonal_pyramid.txt @@ -0,0 +1,26 @@ +Counting circles +11% 1m 31.249310335999994s remaining +22% 46.276234662s remaining +33% 30.119275506s remaining +44% 21.128760502s remaining +56% 14.990239000999999s remaining +67% 10.275216356s remaining +78% 6.381906758s remaining +89% 3.014195655s remaining + +Took 25.9026565s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[10645851, 10786928, 10928079, 11070033, 11211588, 11353875, 11496427, 11639855, 11783770, 11928398, 12072493, 12217763, 12363588, 12509808, 12656077, 12803003, 12950929, 13099009, 13246756, 13395320, 13544256, 13693252, 13842777, 13993420, 14143657, 14295464, 14446692, 14599234, 14751461, 14903895, 15056755, 15209836, 15363825, 15518082, 15672418, 15826902, 15982018, 16138045, 16293328, 16450013, 16606699, 16763921, 16921444, 17079485, 17237457, 17396274, 17555465, 17714451, 17873924, 18033626, 18193819, 18354217, 18516087, 18676618, 18838216, 18999880, 19162552, 19325177, 19488905, 19651939, 19815994, 19980157, 20144381, 20309811, 20474763, 20640203, 20805719, 20971818, 21138292, 21305618, 21472580, 21639863, 21807993, 21976313, 22145127, 22314151, 22483194, 22652682, 22822611, 22992608, 23162541, 23333591, 23503892, 23675505, 23847530, 24019679, 24191546, 24363638, 24536892, 24710573, 24883593, 25057051, 25230817, 25404462, 25578948, 25754583, 25930100, 26105632, 26281691, 26457722] + +Built regression model! +Model info: + r^2: 0.9999999785753259 + p-value: 0 + intercept: -3.4621103143390606 + slope: 1.3324626833476887 +Fractal dimension: 1.3324626833476887 diff --git a/fractal_dimension/circle_counting_new/output5e6/pyramids/pentagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output5e6/pyramids/pentagonal_pyramid.txt new file mode 100644 index 0000000..e784388 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/pyramids/pentagonal_pyramid.txt @@ -0,0 +1,23 @@ +Counting circles +17% 50.92522047s remaining +33% 27.030599016s remaining +50% 16.838620659s remaining +67% 10.078273153s remaining +83% 4.696293924s remaining + +Took 26.809323001s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[16930231, 17154941, 17380154, 17606228, 17833543, 18061457, 18289670, 18519813, 18750178, 18981037, 19212718, 19445200, 19677256, 19911333, 20144883, 20380515, 20616550, 20852750, 21090600, 21329042, 21566607, 21805526, 22045323, 22286055, 22527231, 22769249, 23012214, 23255442, 23499193, 23742982, 23987338, 24232883, 24478183, 24725656, 24973109, 25221550, 25470094, 25719260, 25969329, 26220186, 26470587, 26722697, 26975382, 27228278, 27481943, 27736101, 27990808, 28245673, 28501214, 28758689, 29015804, 29273421, 29531637, 29790593, 30050787, 30310437, 30570757, 30831475, 31093856, 31356152, 31618782, 31881810, 32146196, 32410962, 32675872, 32941721, 33208522, 33474725, 33741841, 34010071, 34278532, 34547499, 34816766, 35085825, 35356306, 35627212, 35898521, 36169194, 36441576, 36714355, 36987401, 37261550, 37536416, 37811642, 38086475, 38363027, 38640018, 38917856, 39195713, 39473708, 39752896, 40032358, 40312035, 40592430, 40872781, 41153224, 41435136, 41716565, 41999159, 42282789] + +Built regression model! +Model info: + r^2: 0.9999999900617704 + p-value: 0 + intercept: -3.1047413941126507 + slope: 1.3396872642963957 +Fractal dimension: 1.3396872642963957 diff --git a/fractal_dimension/circle_counting_new/output5e6/pyramids/square_pyramid.txt b/fractal_dimension/circle_counting_new/output5e6/pyramids/square_pyramid.txt new file mode 100644 index 0000000..24d0d06 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/pyramids/square_pyramid.txt @@ -0,0 +1,22 @@ +Counting circles +20% 39.504400156s remaining +40% 22.20019444s remaining +60% 13.1744719s remaining +80% 6.174328594s remaining + +Took 29.622312605s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[23017721, 23322172, 23628068, 23935876, 24244275, 24552714, 24864814, 25176604, 25488815, 25802224, 26115262, 26431332, 26747242, 27063810, 27381728, 27701116, 28020943, 28340716, 28662463, 28983100, 29305974, 29628948, 29953633, 30278798, 30604856, 30932532, 31259604, 31588398, 31916881, 32248884, 32580220, 32914210, 33246694, 33580472, 33915090, 34251218, 34588045, 34924608, 35262508, 35600558, 35939773, 36280892, 36621586, 36966032, 37307892, 37652098, 37997461, 38344072, 38690839, 39039962, 39387904, 39736914, 40087229, 40437106, 40788989, 41139770, 41493280, 41845002, 42199992, 42556110, 42910702, 43266120, 43622867, 43980112, 44339578, 44698218, 45060682, 45421778, 45783220, 46143307, 46506945, 46869180, 47232880, 47596744, 47962101, 48328120, 48694199, 49060850, 49428432, 49797888, 50165287, 50534880, 50904431, 51275190, 51649342, 52022350, 52396705, 52772246, 53146689, 53522168, 53899041, 54277870, 54657151, 55036302, 55414588, 55794174, 56175501, 56557974, 56939087, 57321940] + +Built regression model! +Model info: + r^2: 0.9999999102347007 + p-value: 0 + intercept: -2.731491645187667 + slope: 1.3352184396919573 +Fractal dimension: 1.3352184396919573 diff --git a/fractal_dimension/circle_counting_new/output5e6/rhombic/rhombic_dodecahedron.txt b/fractal_dimension/circle_counting_new/output5e6/rhombic/rhombic_dodecahedron.txt new file mode 100644 index 0000000..3b530a9 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/rhombic/rhombic_dodecahedron.txt @@ -0,0 +1,31 @@ +Counting circles +7% 1m 7.202397196999996s remaining +14% 1m 2.0158902900000015s remaining +21% 56.85398796s remaining +29% 51.676766287s remaining +36% 58.465734031s remaining +43% 59.067109872s remaining +50% 56.122089485s remaining +57% 50.953304973s remaining +64% 40.61081515s remaining +71% 31.30812419s remaining +79% 22.757082896s remaining +86% 15.876837292s remaining +93% 7.725224161s remaining + +Took 1m 52.242771860000005s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[30741695, 31196080, 31653774, 32114942, 32577116, 33040528, 33504681, 33971352, 34441379, 34914282, 35387354, 35862583, 36340742, 36819886, 37302365, 37785239, 38271410, 38760581, 39252169, 39743744, 40238463, 40734598, 41231217, 41731168, 42233428, 42737530, 43243550, 43752549, 44261735, 44773859, 45288425, 45803497, 46321718, 46842810, 47363922, 47887915, 48413912, 48941263, 49470950, 50002217, 50535340, 51070007, 51607763, 52146494, 52687037, 53230008, 53773927, 54319608, 54867666, 55418412, 55967920, 56519628, 57073658, 57628931, 58185556, 58743847, 59306812, 59870069, 60434449, 60999890, 61568214, 62138604, 62712249, 63285790, 63861839, 64440013, 65017881, 65600147, 66181971, 66765337, 67352636, 67939079, 68529150, 69119643, 69711324, 70303806, 70898492, 71496668, 72098136, 72698442, 73303631, 73907970, 74515145, 75123101, 75730969, 76340581, 76952772, 77565749, 78180039, 78796054, 79416994, 80037126, 80661040, 81284323, 81910422, 82534048, 83162109, 83791917, 84422863, 85054203] + +Built regression model! +Model info: + r^2: 0.9999999811956621 + p-value: 0 + intercept: -4.715665530874627 + slope: 1.4894351636159058 +Fractal dimension: 1.4894351636159058 diff --git a/fractal_dimension/circle_counting_new/output5e6/rhombic/rhombic_triacontahedron.txt b/fractal_dimension/circle_counting_new/output5e6/rhombic/rhombic_triacontahedron.txt new file mode 100644 index 0000000..79a3839 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e6/rhombic/rhombic_triacontahedron.txt @@ -0,0 +1,49 @@ +Counting circles +3% 5m 4.258670140999982s remaining +6% 4m 43.678935645000024s remaining +9% 4m 26.811082426999974s remaining +13% 4m 8.951296684999988s remaining +16% 4m 4.980120983000006s remaining +19% 3m 59.078534330999986s remaining +22% 3m 45.507826967s remaining +25% 3m 33.35513019199999s remaining +28% 3m 25.09665614900001s remaining +31% 3m 15.641448953999998s remaining +34% 3m 7.195137068999998s remaining +38% 2m 57.88196395s remaining +41% 2m 39.75862391199999s remaining +44% 2m 23.466636187999995s remaining +47% 2m 9.387592928999993s remaining +50% 1m 56.442032501s remaining +53% 1m 45.252310703000006s remaining +56% 1m 34.91325359699999s remaining +59% 1m 24.937111434000002s remaining +63% 1m 15.678608839999995s remaining +66% 1m 7.4171797500000025s remaining +69% 59.671512565s remaining +72% 52.262889932s remaining +75% 45.281777441s remaining +78% 38.807834422s remaining +81% 32.577622551s remaining +84% 26.652438834s remaining +88% 20.927482424s remaining +91% 15.3910587s remaining +94% 10.058809028s remaining +97% 4.940819234s remaining + +Took 2m 35.267951735s to count circles + +Done counting circles! +sample points: +[2525000.0, 2550000.0, 2575000.0, 2600000.0, 2625000.0, 2650000.0, 2675000.0, 2700000.0, 2725000.0, 2750000.0, 2775000.0, 2800000.0, 2825000.0, 2850000.0, 2875000.0, 2900000.0, 2925000.0, 2950000.0, 2975000.0, 3000000.0, 3025000.0, 3050000.0, 3075000.0, 3100000.0, 3125000.0, 3150000.0, 3175000.0, 3200000.0, 3225000.0, 3250000.0, 3275000.0, 3300000.0, 3325000.0, 3350000.0, 3375000.0, 3400000.0, 3425000.0, 3450000.0, 3475000.0, 3500000.0, 3525000.0, 3550000.0, 3575000.0, 3600000.0, 3625000.0, 3650000.0, 3675000.0, 3700000.0, 3725000.0, 3750000.0, 3775000.0, 3800000.0, 3825000.0, 3850000.0, 3875000.0, 3900000.0, 3925000.0, 3950000.0, 3975000.0, 4000000.0, 4025000.0, 4050000.0, 4075000.0, 4100000.0, 4125000.0, 4150000.0, 4175000.0, 4200000.0, 4225000.0, 4250000.0, 4275000.0, 4300000.0, 4325000.0, 4350000.0, 4375000.0, 4400000.0, 4425000.0, 4450000.0, 4475000.0, 4500000.0, 4525000.0, 4550000.0, 4575000.0, 4600000.0, 4625000.0, 4650000.0, 4675000.0, 4700000.0, 4725000.0, 4750000.0, 4775000.0, 4800000.0, 4825000.0, 4850000.0, 4875000.0, 4900000.0, 4925000.0, 4950000.0, 4975000.0, 5000000.0] + +number of circles fewer than each of those sample points: +[16468973, 16714027, 16960165, 17208458, 17456486, 17706825, 17957173, 18209741, 18463386, 18718155, 18974599, 19231381, 19488137, 19747078, 20007730, 20269033, 20531582, 20794749, 21058823, 21324714, 21592116, 21860290, 22128643, 22400535, 22672370, 22944073, 23217406, 23491556, 23766908, 24043822, 24322225, 24601472, 24881892, 25162478, 25444754, 25727256, 26010527, 26295691, 26582182, 26868629, 27157291, 27446471, 27737213, 28029085, 28321403, 28615327, 28909676, 29205522, 29501607, 29799351, 30098022, 30397758, 30698294, 30998148, 31300847, 31604478, 31909270, 32215009, 32522034, 32829067, 33136843, 33447015, 33757074, 34068484, 34380533, 34693371, 35008586, 35323679, 35639185, 35955331, 36273971, 36592892, 36912358, 37232889, 37553590, 37875753, 38199665, 38523386, 38848367, 39173554, 39499964, 39828513, 40157424, 40487177, 40817727, 41149016, 41482092, 41817461, 42152709, 42488070, 42825027, 43162240, 43498626, 43836892, 44176507, 44516874, 44858604, 45200530, 45543216, 45886624] + +Built regression model! +Model info: + r^2: 0.9999999297248038 + p-value: 0 + intercept: -5.493284822317101 + slope: 1.4998326976811691 +Fractal dimension: 1.4998326976811691 diff --git a/fractal_dimension/circle_counting_new/output5e7/antiprisms/decagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output5e7/antiprisms/decagonal_antiprism.txt new file mode 100644 index 0000000..276a2ed --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/antiprisms/decagonal_antiprism.txt @@ -0,0 +1,37 @@ +Counting circles +5% 168m 9.534349425999608s remaining +10% 153m 35.70898040999964s remaining +15% 137m 7.0453310560005775s remaining +20% 121m 4.156869811999968s remaining +25% 107m 1.2572445899995728s remaining +30% 95m 38.22187828799997s remaining +35% 86m 34.47361599400028s remaining +40% 79m 30.054503223999745s remaining +45% 73m 52.911739225999554s remaining +50% 68m 39.722119017000296s remaining +55% 62m 48.31489945000021s remaining +60% 56m 0.2380139719998624s remaining +65% 48m 33.68294401899993s remaining +70% 40m 56.3179161070002s remaining +75% 33m 29.805393613999968s remaining +80% 26m 24.844040799999902s remaining +85% 19m 41.073994044000074s remaining +90% 13m 9.826645937999956s remaining +95% 6m 39.05987366800002s remaining + +Took 134m 43.78999638799996s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[1350631918, 1369866436, 1389183467, 1408574023, 1428053687, 1447621837, 1467256270, 1486982241, 1506786148, 1526668313, 1546631738, 1566662489, 1586786892, 1606977859, 1627258564, 1647611377, 1668029744, 1688524681, 1709101784, 1729761203, 1750493611, 1771299638, 1792175125, 1813126040, 1834140841, 1855239799, 1876410181, 1897646272, 1918958033, 1940346265, 1961806811, 1983340263, 2004945124, 2026620303, 2048365672, 2070176427, 2092070311, 2114029490, 2136048968, 2158154576, 2180310843, 2202534402, 2224839509, 2247206896, 2269644619, 2292142849, 2314716002, 2337349708, 2360054114, 2382828145, 2405662257, 2428561930, 2451535354, 2474562617, 2497655742, 2520824613, 2544034487, 2567323816, 2590680906, 2614099632, 2637589663, 2661132619, 2684748108, 2708422393, 2732155491, 2755958918, 2779822079, 2803740426, 2827727409, 2851773316, 2875886366, 2900056935, 2924292137, 2948585438, 2972936929, 2997354720, 3021823700, 3046358739, 3070959962, 3095614952, 3120330429, 3145113572, 3169944316, 3194839389, 3219792862, 3244807289, 3269875027, 3295003748, 3320194770, 3345436349, 3370743688, 3396107112, 3421522480, 3446993637, 3472528924, 3498117830, 3523763287, 3549464716, 3575235184, 3601057596] + +Built regression model! +Model info: + r^2: 0.9999999998145042 + p-value: 0 + intercept: -3.441623312014684 + slope: 1.4354005649485597 +Fractal dimension: 1.4354005649485597 diff --git a/fractal_dimension/circle_counting_new/output5e7/antiprisms/heptagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output5e7/antiprisms/heptagonal_antiprism.txt new file mode 100644 index 0000000..87c065e --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/antiprisms/heptagonal_antiprism.txt @@ -0,0 +1,31 @@ +Counting circles +7% 80m 7.971217776999765s remaining +14% 72m 36.07526845200027s remaining +21% 64m 58.71158447400012s remaining +29% 57m 55.31839318499988s remaining +36% 51m 41.6922359629998s remaining +43% 46m 5.518925000999843s remaining +50% 40m 41.00897448200021s remaining +57% 35m 3.732310220999807s remaining +64% 29m 10.771282026000108s remaining +71% 23m 12.673814164000078s remaining +79% 17m 19.077422111000033s remaining +86% 11m 31.921252281999955s remaining +93% 5m 47.09823293199997s remaining + +Took 81m 22.848624905999714s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[1166780744, 1183230421, 1199745404, 1216335955, 1232987726, 1249707054, 1266498337, 1283354716, 1300284021, 1317273764, 1334330173, 1351449080, 1368631894, 1385880206, 1403187396, 1420566199, 1438001268, 1455506805, 1473062830, 1490679152, 1508364357, 1526106941, 1543900943, 1561776197, 1579708272, 1597699315, 1615752198, 1633864287, 1652031802, 1670266376, 1688554783, 1706901561, 1725303173, 1743762487, 1762280390, 1780861204, 1799499837, 1818196974, 1836946229, 1855755341, 1874623483, 1893556210, 1912532395, 1931567856, 1950660895, 1969810912, 1989012950, 2008271926, 2027577527, 2046935097, 2066358025, 2085827832, 2105359647, 2124945727, 2144584718, 2164268314, 2184006999, 2203801785, 2223652280, 2243558541, 2263514607, 2283524306, 2303583208, 2323696944, 2343861597, 2364070633, 2384329826, 2404644497, 2425010481, 2445432445, 2465898477, 2486423231, 2506985760, 2527603774, 2548266786, 2568981926, 2589753637, 2610567961, 2631432880, 2652355335, 2673321124, 2694338199, 2715401990, 2736516598, 2757679390, 2778888556, 2800142732, 2821451787, 2842802353, 2864203095, 2885656121, 2907150929, 2928691260, 2950282251, 2971924373, 2993604704, 3015337010, 3037114383, 3058937756, 3080816281] + +Built regression model! +Model info: + r^2: 0.9999999995932044 + p-value: 0 + intercept: -3.3451849855879097 + slope: 1.4211586698663696 +Fractal dimension: 1.4211586698663696 diff --git a/fractal_dimension/circle_counting_new/output5e7/antiprisms/hexagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output5e7/antiprisms/hexagonal_antiprism.txt new file mode 100644 index 0000000..d63dedb --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/antiprisms/hexagonal_antiprism.txt @@ -0,0 +1,29 @@ +Counting circles +8% 65m 47.738361478000115s remaining +17% 60m 13.41640542999994s remaining +25% 53m 55.929158154000106s remaining +33% 47m 46.942354285999954s remaining +42% 41m 53.00738053399982s remaining +50% 36m 4.1842671469999s remaining +58% 30m 8.437613775000045s remaining +67% 24m 5.618419007000057s remaining +75% 18m 1.8327812929999254s remaining +83% 12m 0.580077660000029s remaining +92% 6m 0.9297971409999946s remaining + +Took 72m 21.037412542999846s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[1070253148, 1085252098, 1100315100, 1115432963, 1130615268, 1145855024, 1161165925, 1176531871, 1191948465, 1207427879, 1222963125, 1238560760, 1254213294, 1269912996, 1285675095, 1301506573, 1317383734, 1333318552, 1349311813, 1365350527, 1381452534, 1397609672, 1413818452, 1430090306, 1446414505, 1462790824, 1479217476, 1495701245, 1512235236, 1528827968, 1545466647, 1562154065, 1578894393, 1595687318, 1612539103, 1629431088, 1646387177, 1663390877, 1680441392, 1697545056, 1714693594, 1731898648, 1749159064, 1766469071, 1783823165, 1801232045, 1818681694, 1836188354, 1853741158, 1871342191, 1888994302, 1906689267, 1924434138, 1942225191, 1960064654, 1977956896, 1995895474, 2013873634, 2031896203, 2049970049, 2068088352, 2086252849, 2104466198, 2122729786, 2141040275, 2159393134, 2177791742, 2196232933, 2214718962, 2233264728, 2251840551, 2270465299, 2289133888, 2307843124, 2326606343, 2345400488, 2364242097, 2383137083, 2402077921, 2421062306, 2440089648, 2459160529, 2478280235, 2497427731, 2516624000, 2535862752, 2555140627, 2574461947, 2593831619, 2613239995, 2632694776, 2652181331, 2671720394, 2691300827, 2710911916, 2730574305, 2750276878, 2770019907, 2789804843, 2809626384] + +Built regression model! +Model info: + r^2: 0.9999999995659874 + p-value: 0 + intercept: -3.287286400940477 + slope: 1.4126955114572546 +Fractal dimension: 1.4126955114572546 diff --git a/fractal_dimension/circle_counting_new/output5e7/antiprisms/nonagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output5e7/antiprisms/nonagonal_antiprism.txt new file mode 100644 index 0000000..9f751d3 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/antiprisms/nonagonal_antiprism.txt @@ -0,0 +1,35 @@ +Counting circles +6% 8m 21.877377712999987s remaining +11% 7m 52.185048424s remaining +17% 7m 40.290513540000006s remaining +22% 7m 38.236617351999996s remaining +28% 7m 35.25638665700001s remaining +33% 7m 22.857353063999994s remaining +39% 6m 57.39793903100002s remaining +44% 6m 20.646520394999982s remaining +50% 5m 37.601941023999984s remaining +56% 4m 40.662439361999986s remaining +61% 3m 52.22852417199999s remaining +67% 3m 10.608693214999988s remaining +72% 2m 33.792388133s remaining +78% 1m 59.969879094999996s remaining +83% 1m 27.992430982000002s remaining +89% 57.325765108s remaining +94% 27.935998367s remaining + +Took 8m 9.027565831999993s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[86326687, 87551576, 88784571, 90021049, 91265180, 92507152, 93755769, 95010469, 96272091, 97542626, 98813420, 100085087, 101368695, 102657915, 103948555, 105244819, 106543643, 107846737, 109157857, 110471826, 111793780, 113119215, 114450517, 115787601, 117129403, 118471552, 119816805, 121167038, 122525532, 123889012, 125256499, 126631272, 128003671, 129382453, 130762946, 132153808, 133547586, 134946430, 136350627, 137752528, 139162830, 140575163, 141993461, 143414876, 144842895, 146275025, 147714825, 149161028, 150605612, 152056022, 153510917, 154963664, 156428302, 157895034, 159364591, 160836880, 162312338, 163798675, 165287625, 166777135, 168272344, 169768004, 171272033, 172779451, 174289491, 175805789, 177322271, 178847613, 180373607, 181908109, 183440891, 184977973, 186515135, 188062937, 189612367, 191163175, 192720768, 194275061, 195841226, 197409054, 198980019, 200558598, 202140773, 203725448, 205310800, 206902424, 208495276, 210093628, 211695667, 213299626, 214911680, 216529188, 218146939, 219765250, 221389909, 223018112, 224651309, 226283241, 227918650, 229562918] + +Built regression model! +Model info: + r^2: 0.9999999799396656 + p-value: 0 + intercept: -6.127590970981995 + slope: 1.431627682547377 +Fractal dimension: 1.431627682547377 diff --git a/fractal_dimension/circle_counting_new/output5e7/antiprisms/octagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output5e7/antiprisms/octagonal_antiprism.txt new file mode 100644 index 0000000..113864c --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/antiprisms/octagonal_antiprism.txt @@ -0,0 +1,33 @@ +Counting circles +6% 113m 57.00592498500009s remaining +13% 101m 37.882203062999906s remaining +19% 90m 20.42084769899975s remaining +25% 80m 8.133002327999748s remaining +31% 71m 31.0946123800004s remaining +38% 64m 27.500748267999825s remaining +44% 58m 24.892560417999903s remaining +50% 52m 39.400150920000215s remaining +56% 46m 31.096873848000087s remaining +63% 39m 51.6959829299999s remaining +69% 32m 57.03739076900001s remaining +75% 26m 5.199305867000021s remaining +81% 19m 25.77289397300001s remaining +88% 12m 57.00401910000005s remaining +94% 6m 30.725090724999973s remaining + +Took 105m 4.10620945699975s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[1241702725, 1259284677, 1276945455, 1294676117, 1312484321, 1330364281, 1348314545, 1366337778, 1384426039, 1402594874, 1420829301, 1439130836, 1457510357, 1475957338, 1494475930, 1513059670, 1531710975, 1550436244, 1569225400, 1588076848, 1607005054, 1625995432, 1645053091, 1664178915, 1683364253, 1702620683, 1721949728, 1741339173, 1760786174, 1780302438, 1799872296, 1819517018, 1839227642, 1858995486, 1878829386, 1898723890, 1918679158, 1938703796, 1958787770, 1978933897, 1999138666, 2019402907, 2039731746, 2060118776, 2080566170, 2101079822, 2121641626, 2142269979, 2162953254, 2183701240, 2204505779, 2225370268, 2246301130, 2267278551, 2288314269, 2309405917, 2330567593, 2351783501, 2373057973, 2394381661, 2415765720, 2437216494, 2458716121, 2480275543, 2501891335, 2523566634, 2545298481, 2567084984, 2588927376, 2610816192, 2632758741, 2654769268, 2676830990, 2698942093, 2721096889, 2743323377, 2765597456, 2787931695, 2810308342, 2832745180, 2855235081, 2877780269, 2900381137, 2923021837, 2945727478, 2968490101, 2991298880, 3014146655, 3037058421, 3060030411, 3083040444, 3106104054, 3129224922, 3152403756, 3175630002, 3198894918, 3222209189, 3245576049, 3268993862, 3292465419] + +Built regression model! +Model info: + r^2: 0.9999999992452288 + p-value: 0 + intercept: -3.387947184376177 + slope: 1.4273190909974456 +Fractal dimension: 1.4273190909974456 diff --git a/fractal_dimension/circle_counting_new/output5e7/antiprisms/pentagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output5e7/antiprisms/pentagonal_antiprism.txt new file mode 100644 index 0000000..4d276ff --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/antiprisms/pentagonal_antiprism.txt @@ -0,0 +1,27 @@ +Counting circles +10% 43m 28.25910951600008s remaining +20% 38m 34.58681809200016s remaining +30% 33m 42.41125561700005s remaining +40% 28m 52.69475709099993s remaining +50% 24m 4.670738745000108s remaining +60% 19m 15.986087371999929s remaining +70% 14m 26.61763809599995s remaining +80% 9m 37.48386747899997s remaining +90% 4m 48.767488404000005s remaining + +Took 48m 8.684980082000038s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[941464670, 954544171, 967665329, 980842026, 994067383, 1007340029, 1020667313, 1034048167, 1047472574, 1060944991, 1074473176, 1088053736, 1101676509, 1115349403, 1129072287, 1142846825, 1156661372, 1170520881, 1184426536, 1198388735, 1212388951, 1226439993, 1240538574, 1254682861, 1268872976, 1283093989, 1297368326, 1311689796, 1326063663, 1340477139, 1354928939, 1369425747, 1383964404, 1398546503, 1413171222, 1427849259, 1442566367, 1457333880, 1472137257, 1486979846, 1501869388, 1516799971, 1531772708, 1546789366, 1561841810, 1576943880, 1592082569, 1607266663, 1622491316, 1637764524, 1653063510, 1668409225, 1683784807, 1699215583, 1714679339, 1730186012, 1745741422, 1761328502, 1776953058, 1792610523, 1808311288, 1824056371, 1839835294, 1855650071, 1871505238, 1887396979, 1903330721, 1919310249, 1935319611, 1951370688, 1967457828, 1983584955, 1999744961, 2015940532, 2032174609, 2048450063, 2064763344, 2081114261, 2097500679, 2113927092, 2130388811, 2146883383, 2163417006, 2179981184, 2196577935, 2213218146, 2229900327, 2246610564, 2263348105, 2280125556, 2296949354, 2313797413, 2330681761, 2347605746, 2364567224, 2381561012, 2398589566, 2415656191, 2432749494, 2449880318] + +Built regression model! +Model info: + r^2: 0.9999999996320139 + p-value: 0 + intercept: -3.1959904047483327 + slope: 1.3998161826590638 +Fractal dimension: 1.3998161826590638 diff --git a/fractal_dimension/circle_counting_new/output5e7/antiprisms/square_antiprism.txt b/fractal_dimension/circle_counting_new/output5e7/antiprisms/square_antiprism.txt new file mode 100644 index 0000000..143ca87 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/antiprisms/square_antiprism.txt @@ -0,0 +1,25 @@ +Counting circles +13% 27m 41.670020941000075s remaining +25% 23m 44.29693568099992s remaining +38% 19m 47.026580519999925s remaining +50% 15m 49.50988281499997s remaining +63% 11m 52.198623019000024s remaining +75% 7m 54.862774715s remaining +88% 3m 57.43779758599999s remaining + +Took 31m 39.36677603399994s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[761340359, 771747339, 782199795, 792685165, 803208793, 813774922, 824375019, 835017684, 845688530, 856403466, 867153484, 877942353, 888762499, 899620831, 910520158, 921455221, 932428061, 943433169, 954466868, 965542779, 976651654, 987793031, 998972134, 1010193771, 1021437487, 1032718325, 1044035423, 1055378504, 1066755054, 1078172642, 1089619213, 1101100522, 1112613970, 1124160863, 1135731846, 1147341780, 1158984425, 1170659464, 1182356908, 1194092224, 1205862818, 1217666479, 1229498783, 1241358592, 1253247415, 1265181446, 1277146708, 1289129439, 1301145856, 1313196688, 1325274772, 1337388586, 1349527938, 1361695931, 1373895646, 1386120407, 1398388566, 1410685150, 1423005167, 1435354403, 1447739278, 1460156084, 1472594938, 1485063956, 1497561408, 1510092613, 1522643399, 1535221885, 1547831914, 1560469048, 1573130982, 1585825214, 1598547034, 1611292224, 1624072823, 1636882333, 1649718719, 1662578197, 1675465891, 1688381954, 1701329508, 1714303723, 1727293890, 1740322866, 1753377014, 1766457377, 1779560968, 1792690934, 1805846915, 1819031691, 1832235911, 1845475808, 1858734127, 1872022158, 1885334107, 1898677799, 1912040959, 1925438075, 1938854345, 1952299040] + +Built regression model! +Model info: + r^2: 0.9999999973735831 + p-value: 0 + intercept: -3.0415989270934425 + slope: 1.3782998445055625 +Fractal dimension: 1.3782998445055625 diff --git a/fractal_dimension/circle_counting_new/output5e7/misc/6v7f1.txt b/fractal_dimension/circle_counting_new/output5e7/misc/6v7f1.txt new file mode 100644 index 0000000..6248aa2 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/misc/6v7f1.txt @@ -0,0 +1,23 @@ +Counting circles +17% 20m 26.31589490500005s remaining +33% 13m 31.014805042000035s remaining +50% 8m 10.608819391999987s remaining +67% 4m 47.918039991s remaining +83% 2m 27.209791061999994s remaining + +Took 13m 32.31307620899997s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[434984088, 440694482, 446422216, 452174128, 457939661, 463720096, 469521556, 475342571, 481178699, 487033991, 492906372, 498795923, 504699248, 510621673, 516564165, 522521170, 528497957, 534486016, 540493826, 546519455, 552559316, 558611135, 564684160, 570772513, 576874906, 582990319, 589123491, 595273863, 601437407, 607618243, 613816425, 620025100, 626249732, 632491438, 638751177, 645025687, 651312349, 657617567, 663931600, 670263206, 676609212, 682969424, 689344740, 695727951, 702135461, 708552557, 714991653, 721439679, 727901222, 734383352, 740872658, 747384110, 753902003, 760437941, 766985810, 773545377, 780121760, 786709954, 793315410, 799925959, 806552941, 813194943, 819846677, 826516403, 833198245, 839888663, 846599261, 853323522, 860059185, 866804387, 873563790, 880335138, 887120382, 893915885, 900727340, 907548984, 914384610, 921233212, 928094064, 934965782, 941852303, 948752025, 955657874, 962579252, 969513822, 976455420, 983410302, 990380494, 997361049, 1004353573, 1011360480, 1018378102, 1025404369, 1032445177, 1039502603, 1046565300, 1053640040, 1060722341, 1067821696, 1074932938] + +Built regression model! +Model info: + r^2: 0.9999999972077409 + p-value: 0 + intercept: -2.6803403125738257 + slope: 1.3242604276465189 +Fractal dimension: 1.3242604276465189 diff --git a/fractal_dimension/circle_counting_new/output5e7/misc/6v7f2.txt b/fractal_dimension/circle_counting_new/output5e7/misc/6v7f2.txt new file mode 100644 index 0000000..758eaeb --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/misc/6v7f2.txt @@ -0,0 +1,23 @@ +Counting circles +17% 9m 14.808559614000046s remaining +33% 7m 24.058336899999972s remaining +50% 4m 37.597077239999976s remaining +67% 3m 16.231004858000006s remaining +83% 1m 29.583985486000003s remaining + +Took 9m 22.77969512200002s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[299027316, 302998323, 306978797, 310975790, 314982332, 319002499, 323036305, 327087182, 331147971, 335217603, 339302423, 343397451, 347508621, 351628474, 355763674, 359903603, 364063339, 368231355, 372409920, 376603954, 380808819, 385026935, 389257721, 393500434, 397753426, 402018789, 406292263, 410577304, 414879243, 419191967, 423514399, 427850202, 432195622, 436544319, 440905758, 445283160, 449672542, 454062916, 458475643, 462894328, 467324743, 471765367, 476213946, 480681293, 485152953, 489633539, 494130993, 498634644, 503146766, 507667788, 512199801, 516747048, 521303086, 525867746, 530441747, 535028989, 539621205, 544223472, 548839321, 553464885, 558102496, 562751869, 567403996, 572066832, 576738798, 581416761, 586101895, 590804890, 595513668, 600236716, 604966693, 609699246, 614443162, 619199875, 623965773, 628737950, 633522999, 638320854, 643127736, 647937954, 652762717, 657600048, 662442079, 667288750, 672144909, 677012200, 681883946, 686765177, 691666096, 696569724, 701477552, 706394523, 711322245, 716259039, 721205277, 726154548, 731117941, 736091578, 741074955, 746058882] + +Built regression model! +Model info: + r^2: 0.9999999986259898 + p-value: 0 + intercept: -3.2928529155538016 + slope: 1.3382102859249845 +Fractal dimension: 1.3382102859249845 diff --git a/fractal_dimension/circle_counting_new/output5e7/misc/cuboctohedron.txt b/fractal_dimension/circle_counting_new/output5e7/misc/cuboctohedron.txt new file mode 100644 index 0000000..5658f79 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/misc/cuboctohedron.txt @@ -0,0 +1,29 @@ +Counting circles +8% 125m 28.19899674699991s remaining +17% 113m 58.661077230000046s remaining +25% 102m 3.5299163489999046s remaining +33% 89m 43.41570470199986s remaining +42% 78m 13.160413436000454s remaining +50% 66m 38.656227714000124s remaining +58% 55m 21.873477820000062s remaining +67% 44m 6.746534065000105s remaining +75% 32m 57.70008661499992s remaining +83% 21m 54.53670490800005s remaining +92% 10m 55.67883468100001s remaining + +Took 130m 52.42503682200004s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[1821440428, 1847710724, 1874097932, 1900611099, 1927234324, 1953954700, 1980804736, 2007765450, 2034849902, 2062039078, 2089332722, 2116756225, 2144281712, 2171916847, 2199663247, 2227513784, 2255473933, 2283552052, 2311734882, 2340019243, 2368417049, 2396923646, 2425533025, 2454248762, 2483077319, 2512002814, 2541039565, 2570168422, 2599400975, 2628733904, 2658183171, 2687726029, 2717373312, 2747119291, 2776965166, 2806915949, 2836963769, 2867124326, 2897379984, 2927733492, 2958203504, 2988745574, 3019399637, 3050142965, 3080987034, 3111906823, 3142932208, 3174060114, 3205289207, 3236612646, 3268032088, 3299539911, 3331136071, 3362836246, 3394627859, 3426515523, 3458478628, 3490549375, 3522712357, 3554963285, 3587300326, 3619728760, 3652261423, 3684885548, 3717596941, 3750386593, 3783281653, 3816246856, 3849309909, 3882460878, 3915700242, 3949023967, 3982439631, 4015935039, 4049519759, 4083196835, 4116963918, 4150824382, 4184766662, 4218794046, 4252902161, 4287106712, 4321391950, 4355754525, 4390211620, 4424752298, 4459378089, 4494073004, 4528868764, 4563742257, 4598709766, 4633739564, 4668865303, 4704072641, 4739368910, 4774744896, 4810204792, 4845736819, 4881360828, 4917050908] + +Built regression model! +Model info: + r^2: 0.9999999992350878 + p-value: 0 + intercept: -3.452734171688725 + slope: 1.4535976839982392 +Fractal dimension: 1.4535976839982392 diff --git a/fractal_dimension/circle_counting_new/output5e7/misc/truncated_icosahedron.txt b/fractal_dimension/circle_counting_new/output5e7/misc/truncated_icosahedron.txt new file mode 100644 index 0000000..c1ae041 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/misc/truncated_icosahedron.txt @@ -0,0 +1,77 @@ +Counting circles +2% 1021m 2.1125115920003736s remaining +3% 903m 41.32321191899973s remaining +5% 903m 49.03261555499921s remaining +7% 848m 53.649075344001176s remaining +8% 850m 56.71585022799991s remaining +10% 848m 51.046586556003604s remaining +12% 815m 13.902810193001642s remaining +13% 787m 56.74528094699781s remaining +15% 772m 26.803686056002334s remaining +17% 752m 50.0982832899972s remaining +18% 741m 47.63607399399916s remaining +20% 726m 30.710652287998528s remaining +22% 719m 9.870535303998622s remaining +23% 700m 16.909159618000558s remaining +25% 692m 7.814059450996865s remaining +27% 674m 18.321311908002826s remaining +28% 660m 2.818277908998425s remaining +30% 638m 50.47787247400265s remaining +32% 625m 27.37494410000363s remaining +33% 605m 52.78899500799889s remaining +35% 594m 15.2370072670019s remaining +37% 580m 17.906286429999454s remaining +38% 568m 24.888664929996594s remaining +40% 554m 34.703390130001935s remaining +42% 537m 7.416356509998877s remaining +43% 518m 41.40764915600084s remaining +45% 502m 16.036990510001488s remaining +47% 484m 53.644106456999s remaining +48% 470m 36.38563210199936s remaining +50% 454m 44.37558283399994s remaining +52% 441m 5.077971720998903s remaining +53% 425m 54.841965186999005s remaining +55% 410m 28.80532366799889s remaining +57% 393m 59.59334399300133s remaining +58% 379m 14.67412210600014s remaining +60% 363m 27.660141820000717s remaining +62% 349m 5.287164173001656s remaining +63% 333m 10.311618159001227s remaining +65% 319m 2.7084864329990523s remaining +67% 303m 30.131392463001248s remaining +68% 288m 35.392754556s remaining +70% 272m 42.77169529999992s remaining +72% 258m 4.968168531999254s remaining +73% 242m 28.503180117999364s remaining +75% 228m 10.827638594999371s remaining +77% 212m 58.112824239000474s remaining +78% 198m 26.28364010900077s remaining +80% 183m 10.376579506999406s remaining +82% 167m 51.088057240000126s remaining +83% 152m 5.227874480000537s remaining +85% 136m 54.65609578300064s remaining +87% 121m 20.202526777999992s remaining +88% 106m 19.24160716299957s remaining +90% 91m 11.089280432000123s remaining +92% 76m 9.007923764000225s remaining +93% 60m 59.914695134999874s remaining +95% 45m 40.83085440900004s remaining +97% 30m 23.338807258000088s remaining +98% 15m 11.369049174999986s remaining + +Took 910m 54.75098859999707s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[4866511285, 4946598680, 5027210078, 5108340949, 5189976603, 5272122119, 5354796369, 5437959417, 5521650668, 5605807501, 5690484612, 5775671017, 5861369388, 5947553472, 6034246327, 6121417668, 6209087129, 6297253575, 6385923733, 6475066065, 6564727678, 6654859723, 6745489663, 6836582820, 6928175504, 7020233039, 7112799950, 7205819223, 7299337750, 7393320815, 7487785869, 7582740821, 7678162129, 7774042049, 7870416310, 7967256277, 8064560699, 8162329633, 8260569382, 8359261493, 8458401944, 8558023441, 8658135435, 8758671634, 8859678370, 8961129306, 9063043793, 9165418904, 9268256555, 9371539797, 9475268843, 9579458932, 9684091225, 9789191651, 9894743501, 10000752272, 10107182288, 10214059428, 10321394536, 10429182249, 10537412797, 10646082071, 10755166512, 10864705186, 10974702028, 11085134881, 11195976857, 11307280003, 11419013587, 11531177118, 11643773291, 11756822451, 11870281612, 11984171940, 12098505826, 12213250331, 12328446276, 12444044840, 12560088077, 12676562339, 12793440769, 12910752599, 13028480686, 13146654787, 13265239428, 13384271920, 13503701059, 13623557706, 13743804433, 13864497778, 13985612184, 14107135958, 14229084349, 14351447117, 14474208964, 14597405044, 14721003617, 14845011939, 14969422559, 15094262058] + +Built regression model! +Model info: + r^2: 0.9999999999249835 + p-value: 0 + intercept: -5.9339896796341804 + slope: 1.6568336188115225 +Fractal dimension: 1.6568336188115225 diff --git a/fractal_dimension/circle_counting_new/output5e7/platonic_solids/cube.txt b/fractal_dimension/circle_counting_new/output5e7/platonic_solids/cube.txt new file mode 100644 index 0000000..fa98930 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/platonic_solids/cube.txt @@ -0,0 +1,25 @@ +Counting circles +13% 42m 2.4149488299999575s remaining +25% 36m 1.8797571199997947s remaining +38% 30m 1.456960701000071s remaining +50% 24m 1.1431714200000442s remaining +63% 18m 0.8501134079999701s remaining +75% 12m 0.5433603430000176s remaining +88% 6m 0.2673583949999738s remaining + +Took 48m 1.9172686669999166s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[1653357274, 1677658292, 1702058430, 1726575354, 1751213667, 1775956721, 1800824945, 1825791585, 1850872157, 1876071606, 1901381737, 1926787975, 1952305796, 1977943580, 2003673522, 2029514578, 2055459243, 2081511738, 2107681264, 2133944991, 2160322223, 2186812595, 2213400517, 2240085611, 2266883493, 2293776101, 2320767642, 2347859388, 2375066346, 2402363845, 2429776397, 2457283647, 2484893305, 2512591441, 2540395464, 2568303447, 2596309368, 2624411876, 2652606856, 2680901057, 2709305096, 2737787367, 2766385535, 2795072885, 2823852510, 2852722971, 2881689532, 2910754706, 2939924914, 2969174171, 2998517270, 3027952711, 3057486429, 3087122296, 3116842665, 3146654676, 3176557658, 3206549355, 3236627287, 3266799168, 3297060568, 3327427433, 3357880769, 3388424280, 3419036978, 3449753680, 3480562055, 3511467490, 3542451241, 3573518954, 3604680437, 3635918391, 3667247446, 3698663212, 3730188004, 3761786169, 3793481865, 3825254914, 3857097021, 3889033024, 3921055524, 3953151826, 3985352764, 4017626830, 4049995749, 4082455862, 4114994891, 4147612389, 4180307297, 4213095714, 4245969887, 4278913494, 4311933683, 4345037934, 4378238970, 4411514602, 4444872080, 4478307253, 4511821889, 4545436406] + +Built regression model! +Model info: + r^2: 0.9999999998182101 + p-value: 0 + intercept: -4.003714072936063 + slope: 1.480245458431498 +Fractal dimension: 1.480245458431498 diff --git a/fractal_dimension/circle_counting_new/output5e7/platonic_solids/dodecahedron.txt b/fractal_dimension/circle_counting_new/output5e7/platonic_solids/dodecahedron.txt new file mode 100644 index 0000000..e1e78db --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/platonic_solids/dodecahedron.txt @@ -0,0 +1,37 @@ +Counting circles +5% 196m 31.40884358800031s remaining +10% 186m 1.5635907989999396s remaining +15% 175m 36.40647864099992s remaining +20% 165m 24.070589635999568s remaining +25% 154m 59.5859409629993s remaining +30% 144m 41.04677000599986s remaining +35% 134m 20.248194021999552s remaining +40% 124m 2.1179749330003688s remaining +45% 113m 41.58081802000015s remaining +50% 103m 22.06512180699974s remaining +55% 93m 1.4899675779997779s remaining +60% 82m 41.64131594399987s remaining +65% 72m 21.102702529999988s remaining +70% 62m 0.7039518800002043s remaining +75% 51m 40.93509486699986s remaining +80% 41m 20.85411618499984s remaining +85% 31m 0.4403684989999874s remaining +90% 20m 40.343915698000046s remaining +95% 10m 20.081195406000006s remaining + +Took 206m 42.67640114200003s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[3141339548, 3191131239, 3241225184, 3291598092, 3342272096, 3393223054, 3444466683, 3495998261, 3547806554, 3599895857, 3652277770, 3704942270, 3757879256, 3811119988, 3864624163, 3918412341, 3972483731, 4026813795, 4081425685, 4136307161, 4191470925, 4246902185, 4302604202, 4358568466, 4414821108, 4471331476, 4528106771, 4585149194, 4642453821, 4700020288, 4757858737, 4815963582, 4874341435, 4932979327, 4991864198, 5051019711, 5110433285, 5170101380, 5230031972, 5290227968, 5350674032, 5411386072, 5472324590, 5533546770, 5595012236, 5656731500, 5718704992, 5780933240, 5843398710, 5906124095, 5969094911, 6032317711, 6095784627, 6159499173, 6223464253, 6287684888, 6352143230, 6416850446, 6481802308, 6547005074, 6612452233, 6678121847, 6744049879, 6810217722, 6876625040, 6943276805, 7010158740, 7077289581, 7144654946, 7212250712, 7280081023, 7348151912, 7416442232, 7484995498, 7553791752, 7622807131, 7692045740, 7761538507, 7831268929, 7901219651, 7971405355, 8041824394, 8112470378, 8183347112, 8254447207, 8325780502, 8397368689, 8469168111, 8541195246, 8613445849, 8685923980, 8758643165, 8831572607, 8904722503, 8978102599, 9051713385, 9125533813, 9199582992, 9273856215, 9348350182] + +Built regression model! +Model info: + r^2: 0.9999999999335142 + p-value: 0 + intercept: -5.338913367444221 + slope: 1.5962388952632787 +Fractal dimension: 1.5962388952632787 diff --git a/fractal_dimension/circle_counting_new/output5e7/platonic_solids/icosahedron.txt b/fractal_dimension/circle_counting_new/output5e7/platonic_solids/icosahedron.txt new file mode 100644 index 0000000..34703ce --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/platonic_solids/icosahedron.txt @@ -0,0 +1,29 @@ +Counting circles +8% 55m 1.1613208970002233s remaining +17% 50m 3.1224506190001193s remaining +25% 45m 1.9820784509997793s remaining +33% 40m 1.0781900599999972s remaining +42% 35m 0.5479175119999127s remaining +50% 30m 0.19459719299993594s remaining +58% 24m 59.97053214199991s remaining +67% 19m 59.837736578999966s remaining +75% 14m 59.792759810999996s remaining +83% 9m 59.815810848999945s remaining +92% 4m 59.90164856199999s remaining + +Took 59m 58.74327557200013s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[627823827, 636374777, 644957560, 653571498, 662214283, 670886480, 679591594, 688324153, 697086211, 705885077, 714716918, 723572792, 732458687, 741372627, 750312934, 759285936, 768289834, 777317901, 786376164, 795464802, 804579451, 813719585, 822890673, 832086141, 841313001, 850569519, 859850266, 869153845, 878492834, 887850758, 897239354, 906655465, 916098278, 925565115, 935063900, 944586842, 954136089, 963710819, 973307417, 982934531, 992592557, 1002273208, 1011972788, 1021696779, 1031443179, 1041216770, 1051020994, 1060850048, 1070700866, 1080577784, 1090474470, 1100395238, 1110344517, 1120320260, 1130321977, 1140345378, 1150391775, 1160463597, 1170556736, 1180671721, 1190813495, 1200976356, 1211169401, 1221390583, 1231626996, 1241890120, 1252171134, 1262486807, 1272815568, 1283159935, 1293532739, 1303928653, 1314347236, 1324786003, 1335253722, 1345738758, 1356249373, 1366773743, 1377325783, 1387903458, 1398504424, 1409123566, 1419757757, 1430420853, 1441107778, 1451817263, 1462549638, 1473298847, 1484069133, 1494858777, 1505670664, 1516501703, 1527357365, 1538231975, 1549130687, 1560047283, 1570992690, 1581953658, 1592940928, 1603944246] + +Built regression model! +Model info: + r^2: 0.9999999988104873 + p-value: 0 + intercept: -3.14148620313858 + slope: 1.37284722531795 +Fractal dimension: 1.37284722531795 diff --git a/fractal_dimension/circle_counting_new/output5e7/platonic_solids/octahedron.txt b/fractal_dimension/circle_counting_new/output5e7/platonic_solids/octahedron.txt new file mode 100644 index 0000000..3969ae6 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/platonic_solids/octahedron.txt @@ -0,0 +1,23 @@ +Counting circles +17% 14m 57.89407015500001s remaining +33% 11m 58.46498269999995s remaining +50% 8m 58.82547528800001s remaining +67% 5m 59.221264814999984s remaining +83% 2m 59.679322098s remaining + +Took 17m 58.304498391999914s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[498252314, 504851094, 511468157, 518112705, 524775460, 531464510, 538168723, 544897434, 551642288, 558405890, 565187181, 572004238, 578829302, 585679500, 592550417, 599444939, 606360433, 613294215, 620245511, 627210553, 634213393, 641219241, 648250884, 655294113, 662359084, 669453823, 676560471, 683679010, 690824335, 697977086, 705151972, 712352197, 719573922, 726804224, 734048164, 741311420, 748604361, 755914048, 763235095, 770577273, 777930617, 785304231, 792699426, 800105643, 807536630, 814979329, 822441051, 829917989, 837409375, 844922859, 852447937, 859990959, 867551061, 875126406, 882729640, 890345914, 897976003, 905619608, 913283467, 920966382, 928662955, 936369457, 944096024, 951833635, 959599404, 967369317, 975160962, 982978254, 990791556, 998628317, 1006481753, 1014342555, 1022219413, 1030123668, 1038042463, 1045966345, 1053906913, 1061873944, 1069845214, 1077833770, 1085843186, 1093862215, 1101904119, 1109956550, 1118027372, 1126108399, 1134194619, 1142299923, 1150423868, 1158554517, 1166701736, 1174859536, 1183036746, 1191224003, 1199429123, 1207655125, 1215890924, 1224128080, 1232400126, 1240675768] + +Built regression model! +Model info: + r^2: 0.9999999973241187 + p-value: 0 + intercept: -2.73322404571449 + slope: 1.3353318978310815 +Fractal dimension: 1.3353318978310815 diff --git a/fractal_dimension/circle_counting_new/output5e7/platonic_solids/tetrahedron.txt b/fractal_dimension/circle_counting_new/output5e7/platonic_solids/tetrahedron.txt new file mode 100644 index 0000000..e69de29 diff --git a/fractal_dimension/circle_counting_new/output5e7/prisms/decagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e7/prisms/decagonal_prism.txt new file mode 100644 index 0000000..8abbb17 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/prisms/decagonal_prism.txt @@ -0,0 +1,37 @@ +Counting circles +5% 184m 50.31553812399943s remaining +10% 170m 43.36232635499982s remaining +15% 156m 17.848982683999566s remaining +20% 142m 43.49826381599996s remaining +25% 130m 40.05269335199955s remaining +30% 120m 22.159683244000007s remaining +35% 111m 36.22724568299964s remaining +40% 103m 50.01180108999961s remaining +45% 96m 24.11877363700023s remaining +50% 88m 44.97699105399988s remaining +55% 80m 34.938799589000155s remaining +60% 71m 48.73299575799956s remaining +65% 62m 38.093416500999865s remaining +70% 53m 18.32103202899998s remaining +75% 44m 5.069746356999985s remaining +80% 35m 4.263970703999803s remaining +85% 26m 15.45254391100002s remaining +90% 17m 32.78882218700005s remaining +95% 8m 49.165864718999956s remaining + +Took 177m 26.697549538999738s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[2763768074, 2806599610, 2849673872, 2892980423, 2936519541, 2980290615, 3024296569, 3068533061, 3112994754, 3157674811, 3202592212, 3247749022, 3293121419, 3338728408, 3384540752, 3430602683, 3476885875, 3523379312, 3570102593, 3617048808, 3664220758, 3711592760, 3759189854, 3807005536, 3855023705, 3903263765, 3951716113, 4000401025, 4049300442, 4098425841, 4147752127, 4197264681, 4246985647, 4296945222, 4347086947, 4397453528, 4448027164, 4498802278, 4549802599, 4601002169, 4652416804, 4704038428, 4755858755, 4807880756, 4860106099, 4912510640, 4965135427, 5017966478, 5070999415, 5124230064, 5177645237, 5231270476, 5285078032, 5339100090, 5393312508, 5447733686, 5502339315, 5557142791, 5612139380, 5667325308, 5722704250, 5778286292, 5834054106, 5890027711, 5946200077, 6002566916, 6059114214, 6115856994, 6172780379, 6229904537, 6287207952, 6344698348, 6402351874, 6460202231, 6518247835, 6576494485, 6634907623, 6693514109, 6752290132, 6811266467, 6870413123, 6929748225, 6989261858, 7048961441, 7108843587, 7168918901, 7229172558, 7289634764, 7350250857, 7411033297, 7472030775, 7533179857, 7594529107, 7656032450, 7717711916, 7779563688, 7841599483, 7903822381, 7966226266, 8028799603] + +Built regression model! +Model info: + r^2: 0.9999999998257793 + p-value: 0 + intercept: -4.865759072877598 + slope: 1.5609652398738287 +Fractal dimension: 1.5609652398738287 diff --git a/fractal_dimension/circle_counting_new/output5e7/prisms/heptagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e7/prisms/heptagonal_prism.txt new file mode 100644 index 0000000..5622479 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/prisms/heptagonal_prism.txt @@ -0,0 +1,31 @@ +Counting circles +7% 96m 29.82545128000038s remaining +14% 88m 45.12597877799999s remaining +21% 81m 3.2290014070003963s remaining +29% 73m 30.85430428699965s remaining +36% 66m 8.658243213999867s remaining +43% 59m 53.50873946899992s remaining +50% 53m 16.755579573999967s remaining +57% 46m 27.424712179999915s remaining +64% 39m 0.04297611099991627s remaining +71% 31m 21.50796289699997s remaining +79% 23m 36.89844009100011s remaining +86% 15m 48.39919394699996s remaining +93% 7m 56.15538621799999s remaining + +Took 111m 31.536376551000103s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[2486578518, 2524666020, 2562956945, 2601461515, 2640154327, 2679050750, 2718148661, 2757442034, 2796937448, 2836625040, 2876523183, 2916621102, 2956906010, 2997378059, 3038043952, 3078910101, 3119958139, 3161203841, 3202645600, 3244272940, 3286094561, 3328082563, 3370263792, 3412633320, 3455190257, 3497944133, 3540883104, 3584003745, 3627312896, 3670800759, 3714451093, 3758292533, 3802318486, 3846533774, 3890929253, 3935490044, 3980221130, 4025141599, 4070236358, 4115504725, 4160960654, 4206587139, 4252398793, 4298372080, 4344516468, 4390827952, 4437316998, 4483976622, 4530798041, 4577813121, 4625001253, 4672353810, 4719872987, 4767565316, 4815419440, 4863439470, 4911644784, 4960006446, 5008537013, 5057220287, 5106074425, 5155095359, 5204288192, 5253638243, 5303148613, 5352831181, 5402673507, 5452664265, 5502837013, 5553172406, 5603671700, 5654315041, 5705122805, 5756094893, 5807224263, 5858517110, 5909965018, 5961573609, 6013328582, 6065242002, 6117309023, 6169548506, 6221934705, 6274471259, 6327165988, 6380021782, 6433024599, 6486181423, 6539505545, 6592976045, 6646604364, 6700382273, 6754317920, 6808396728, 6862633175, 6917017619, 6971555422, 7026229039, 7081061582, 7136042395] + +Built regression model! +Model info: + r^2: 0.999999999917211 + p-value: 0 + intercept: -4.667354145008744 + slope: 1.5431236763745952 +Fractal dimension: 1.5431236763745952 diff --git a/fractal_dimension/circle_counting_new/output5e7/prisms/hexagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e7/prisms/hexagonal_prism.txt new file mode 100644 index 0000000..4c42dfb --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/prisms/hexagonal_prism.txt @@ -0,0 +1,29 @@ +Counting circles +8% 77m 28.42417618699983s remaining +17% 70m 22.53452785399986s remaining +25% 63m 18.124417001999973s remaining +33% 56m 15.732396318000156s remaining +42% 49m 14.603307572000176s remaining +50% 42m 13.26377893100016s remaining +58% 35m 11.362872397000046s remaining +67% 28m 8.89872659799994s remaining +75% 21m 6.455512325999962s remaining +83% 14m 4.245951419999983s remaining +92% 7m 2.1637797660000047s remaining + +Took 84m 26.74194955100029s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[2321459340, 2356748914, 2392235718, 2427905774, 2463749337, 2499768781, 2535982562, 2572374383, 2608938020, 2645681220, 2682600576, 2719708620, 2756988279, 2794439473, 2832058315, 2869850673, 2907831987, 2945982620, 2984316437, 3022799297, 3061467000, 3100290988, 3139310414, 3178501810, 3217850129, 3257360311, 3297032658, 3336871388, 3376890020, 3417069552, 3457409691, 3497913014, 3538578649, 3579410844, 3620412897, 3661566499, 3702876995, 3744356455, 3785991971, 3827783985, 3869728444, 3911841356, 3954112333, 3996546817, 4039133477, 4081873185, 4124761640, 4167803193, 4211016152, 4254382878, 4297894683, 4341559202, 4385380246, 4429359741, 4473490957, 4517777186, 4562200607, 4606781005, 4651519880, 4696403241, 4741429493, 4786609795, 4831952458, 4877424305, 4923046047, 4968816743, 5014738078, 5060796132, 5106997210, 5153351395, 5199860742, 5246502785, 5293282712, 5340222196, 5387291889, 5434505917, 5481875478, 5529384668, 5577036781, 5624831075, 5672751837, 5720817807, 5769033624, 5817385121, 5865871059, 5914497937, 5963269861, 6012172207, 6061228790, 6110424592, 6159754351, 6209228146, 6258829004, 6308574681, 6358449938, 6408459845, 6458604546, 6508880768, 6559294572, 6609844428] + +Built regression model! +Model info: + r^2: 0.9999999998859627 + p-value: 0 + intercept: -4.539162894854044 + slope: 1.5315715238864445 +Fractal dimension: 1.5315715238864445 diff --git a/fractal_dimension/circle_counting_new/output5e7/prisms/nonagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e7/prisms/nonagonal_prism.txt new file mode 100644 index 0000000..fda042f --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/prisms/nonagonal_prism.txt @@ -0,0 +1,35 @@ +Counting circles +6% 138m 53.958390431000225s remaining +11% 128m 15.487030256000253s remaining +17% 117m 42.62491153999963s remaining +22% 107m 50.28808697899967s remaining +28% 98m 58.228528697s remaining +33% 91m 3.6769982519999758s remaining +39% 83m 48.82321184200009s remaining +44% 76m 49.01006766499995s remaining +50% 69m 42.70224715800032s remaining +56% 62m 17.711949028000163s remaining +61% 54m 33.220988041000055s remaining +67% 46m 37.12688422300016s remaining +72% 38m 39.43126961000007s remaining +78% 30m 47.323683501999994s remaining +83% 23m 2.6563938560000224s remaining +89% 15m 22.68663725700003s remaining +94% 7m 42.85504134199999s remaining + +Took 139m 23.815324836999935s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[2693931413, 2735567462, 2777436270, 2819529146, 2861837986, 2904381716, 2947144498, 2990119126, 3033319058, 3076758567, 3120412883, 3164277620, 3208356662, 3252664766, 3297192433, 3341922862, 3386876544, 3432058579, 3477444726, 3523032940, 3568846472, 3614866602, 3661078707, 3707512491, 3754159189, 3801019877, 3848076604, 3895345553, 3942822391, 3990496698, 4038376950, 4086456018, 4134753726, 4183258111, 4231956374, 4280857289, 4329959252, 4379253298, 4428749969, 4478446896, 4528335673, 4578434981, 4628726644, 4679212024, 4729897446, 4780775683, 4831852536, 4883114652, 4934579745, 4986234668, 5038080807, 5090119428, 5142350107, 5194765991, 5247366282, 5300152102, 5353137983, 5406300963, 5459663470, 5513229224, 5566964070, 5620874107, 5674979783, 5729270334, 5783752926, 5838401946, 5893247182, 5948270067, 6003472533, 6058870834, 6114438024, 6170175991, 6226093712, 6282197651, 6338482944, 6394948623, 6451597478, 6508426565, 6565417285, 6622599921, 6679968612, 6737501424, 6795229166, 6853124404, 6911206492, 6969456783, 7027879711, 7086466772, 7145223532, 7204172810, 7263283663, 7322559981, 7382031115, 7441661935, 7501476638, 7561445789, 7621585520, 7681916683, 7742405978, 7803055680] + +Built regression model! +Model info: + r^2: 0.999999999788033 + p-value: 0 + intercept: -4.8180680219633665 + slope: 1.5566654983616355 +Fractal dimension: 1.5566654983616355 diff --git a/fractal_dimension/circle_counting_new/output5e7/prisms/octagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e7/prisms/octagonal_prism.txt new file mode 100644 index 0000000..2f5a13c --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/prisms/octagonal_prism.txt @@ -0,0 +1,33 @@ +Counting circles +6% 130m 47.71484947499994s remaining +13% 120m 48.28287041600015s remaining +19% 110m 56.00666906399965s remaining +25% 101m 33.46205463899969s remaining +31% 92m 46.579023006999705s remaining +38% 84m 27.791744500999812s remaining +44% 76m 20.691884116000438s remaining +50% 68m 10.685557530000096s remaining +56% 59m 48.857681286000116s remaining +63% 51m 15.954462433000117s remaining +69% 42m 37.88158796400012s remaining +75% 34m 1.049850018999905s remaining +81% 25m 28.31674477899992s remaining +88% 16m 59.06288723499995s remaining +94% 8m 30.373362188999977s remaining + +Took 136m 23.40728593699987s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[2604723137, 2644838569, 2685164675, 2725695066, 2766444213, 2807424730, 2848604801, 2889996025, 2931611001, 2973426778, 3015450433, 3057689171, 3100140514, 3142799207, 3185665428, 3228728418, 3272003711, 3315485467, 3359155625, 3403042865, 3447131700, 3491412070, 3535911772, 3580592367, 3625495286, 3670579077, 3715850865, 3761323070, 3806998594, 3852873096, 3898929546, 3945185093, 3991636205, 4038285245, 4085123590, 4132155374, 4179388596, 4226800045, 4274405371, 4322206991, 4370187807, 4418355778, 4466711103, 4515255514, 4563982029, 4612896072, 4661986628, 4711263969, 4760732682, 4810376992, 4860196364, 4910208724, 4960407404, 5010773141, 5061336286, 5112071348, 5162992744, 5214091247, 5265362811, 5316803093, 5368439274, 5420245278, 5472234597, 5524386247, 5576708883, 5629226193, 5681904004, 5734760326, 5787798431, 5840997948, 5894377911, 5947924020, 6001645099, 6055517898, 6109589918, 6163833196, 6218238082, 6272811195, 6327562807, 6382470994, 6437544190, 6492793442, 6548204300, 6603783089, 6659529513, 6715451116, 6771532772, 6827771353, 6884162481, 6940744052, 6997467799, 7054366576, 7111430192, 7168673832, 7226072357, 7283624256, 7341360131, 7399249885, 7457297807, 7515502782] + +Built regression model! +Model info: + r^2: 0.9999999998878408 + p-value: 0 + intercept: -4.755343391191229 + slope: 1.5510097812940418 +Fractal dimension: 1.5510097812940418 diff --git a/fractal_dimension/circle_counting_new/output5e7/prisms/pentagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e7/prisms/pentagonal_prism.txt new file mode 100644 index 0000000..3d89810 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/prisms/pentagonal_prism.txt @@ -0,0 +1,27 @@ +Counting circles +10% 58m 25.103171100000054s remaining +20% 51m 54.88140363999992s remaining +30% 45m 24.853696177000074s remaining +40% 38m 55.28488243799984s remaining +50% 32m 26.078220913999985s remaining +60% 25m 56.74458316899995s remaining +70% 19m 27.558983852999972s remaining +80% 12m 58.342079762000026s remaining +90% 6m 29.166106341999978s remaining + +Took 64m 51.59546071500017s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[2072278261, 2103404542, 2134699705, 2166146319, 2197736492, 2229483366, 2261382505, 2293443132, 2325659173, 2358023871, 2390534575, 2423208523, 2456027489, 2488978522, 2522099139, 2555360224, 2588759118, 2622310260, 2656023310, 2689868495, 2723857678, 2757999465, 2792271612, 2826702010, 2861274199, 2895980207, 2930818811, 2965815403, 3000952350, 3036215278, 3071614348, 3107153813, 3142836290, 3178672675, 3214623593, 3250731540, 3286966755, 3323340820, 3359862376, 3396522470, 3433305916, 3470220102, 3507264796, 3544442367, 3581754043, 3619215387, 3656794583, 3694496677, 3732342272, 3770316399, 3808408512, 3846623512, 3884980758, 3923462532, 3962077371, 4000820172, 4039692985, 4078703469, 4117820121, 4157076389, 4196451459, 4235948527, 4275580176, 4315342324, 4355217949, 4395228077, 4435346675, 4475607870, 4515979810, 4556475641, 4597098946, 4637847530, 4678710445, 4719689955, 4760801527, 4802033515, 4843377718, 4884841308, 4926426572, 4968143656, 5009965766, 5051908301, 5093978885, 5136166063, 5178471656, 5220891741, 5263423464, 5306075657, 5348842972, 5391727768, 5434720735, 5477832769, 5521051269, 5564409800, 5607875502, 5651443272, 5695129859, 5738930415, 5782854978, 5826883677] + +Built regression model! +Model info: + r^2: 0.9999999998468881 + p-value: 0 + intercept: -4.339882517797907 + slope: 1.5132182760637072 +Fractal dimension: 1.5132182760637072 diff --git a/fractal_dimension/circle_counting_new/output5e7/prisms/triangular_prism.txt b/fractal_dimension/circle_counting_new/output5e7/prisms/triangular_prism.txt new file mode 100644 index 0000000..6ca82e5 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/prisms/triangular_prism.txt @@ -0,0 +1,23 @@ +Counting circles +17% 16m 41.52267215500001s remaining +33% 13m 21.28227234999997s remaining +50% 10m 1.7492443510000157s remaining +67% 6m 41.016060779999975s remaining +83% 3m 20.475279032999993s remaining + +Took 20m 2.743108814999914s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[880984940, 893283430, 905626760, 918022563, 930458784, 942937639, 955471354, 968051269, 980678793, 993352867, 1006079553, 1018859311, 1031673965, 1044533011, 1057451109, 1070402115, 1083400592, 1096447188, 1109544322, 1122682438, 1135864578, 1149093034, 1162364428, 1175677351, 1189036025, 1202438294, 1215878876, 1229371301, 1242912786, 1256486396, 1270109822, 1283770244, 1297462777, 1311204740, 1324981647, 1338810835, 1352691017, 1366605158, 1380552562, 1394539732, 1408565437, 1422633363, 1436741401, 1450900860, 1465091254, 1479319618, 1493596089, 1507907475, 1522260987, 1536650897, 1551082230, 1565557607, 1580072553, 1594622365, 1609212849, 1623835716, 1638501623, 1653204777, 1667945484, 1682708436, 1697511270, 1712370918, 1727256700, 1742181584, 1757139080, 1772141062, 1787168690, 1802241560, 1817345429, 1832489545, 1847665449, 1862886623, 1878137266, 1893428646, 1908754139, 1924124207, 1939525818, 1954958661, 1970425517, 1985922213, 2001462030, 2017027966, 2032640789, 2048291878, 2063970797, 2079669081, 2095412088, 2111188486, 2127000124, 2142850693, 2158740345, 2174660451, 2190617351, 2206601497, 2222612450, 2238661054, 2254739036, 2270849777, 2287005521, 2303186406] + +Built regression model! +Model info: + r^2: 0.9999999988666496 + p-value: 0 + intercept: -3.3790728927518785 + slope: 1.4066608138366978 +Fractal dimension: 1.4066608138366978 diff --git a/fractal_dimension/circle_counting_new/output5e7/pyramids/decagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output5e7/pyramids/decagonal_pyramid.txt new file mode 100644 index 0000000..b0228c8 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/pyramids/decagonal_pyramid.txt @@ -0,0 +1,28 @@ +Counting circles +9% 39m 34.042196819999845s remaining +18% 19m 58.36920225099993s remaining +27% 13m 9.552973881999947s remaining +36% 9m 30.75999625199995s remaining +45% 7m 6.972414091000019s remaining +55% 5m 20.431749764000017s remaining +64% 3m 55.443168420999996s remaining +73% 2m 44.45407097399999s remaining +82% 1m 43.274731461s remaining +91% 49.139075938s remaining + +Took 8m 39.09387645100003s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[195454797, 198027455, 200610214, 203200499, 205798001, 208403334, 211020300, 213642627, 216272359, 218912858, 221558110, 224210407, 226870485, 229538489, 232212503, 234897969, 237590075, 240290329, 242995663, 245711553, 248436283, 251164721, 253904715, 256647415, 259396960, 262154319, 264920298, 267694859, 270474232, 273261799, 276053896, 278854456, 281663385, 284477991, 287301495, 290128261, 292962738, 295807008, 298657039, 301512274, 304375487, 307244267, 310119597, 313001949, 315889998, 318784007, 321687735, 324596888, 327512444, 330431508, 333356231, 336288356, 339228700, 342174842, 345127732, 348086578, 351053374, 354027401, 357006169, 359990208, 362979310, 365975779, 368976841, 371984029, 374995444, 378013145, 381038371, 384071156, 387110579, 390156252, 393205540, 396261027, 399323984, 402389261, 405462583, 408543522, 411629364, 414718221, 417813759, 420911964, 424022431, 427137098, 430255246, 433377104, 436507027, 439638225, 442777637, 445924781, 449075941, 452233360, 455395784, 458564158, 461735981, 464912472, 468097715, 471290025, 474484294, 477685851, 480893362, 484103338] + +Built regression model! +Model info: + r^2: 0.9999999992817403 + p-value: 0 + intercept: -3.535764198589913 + slope: 1.3275151865583248 +Fractal dimension: 1.3275151865583248 diff --git a/fractal_dimension/circle_counting_new/output5e7/pyramids/heptagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output5e7/pyramids/heptagonal_pyramid.txt new file mode 100644 index 0000000..e0a500b --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/pyramids/heptagonal_pyramid.txt @@ -0,0 +1,25 @@ +Counting circles +13% 24m 24.94491222800002s remaining +25% 12m 28.178567879999946s remaining +38% 8m 2.521398074999979s remaining +50% 5m 29.626867296s remaining +63% 3m 41.845317410999996s remaining +75% 2m 16.618845556999986s remaining +88% 1m 4.281327521999998s remaining + +Took 8m 10.081044324999993s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[256864241, 260264517, 263678023, 267102653, 270537139, 273985641, 277442671, 280908644, 284384788, 287873392, 291373932, 294887426, 298409231, 301943135, 305483515, 309036762, 312596206, 316170492, 319754175, 323346855, 326951628, 330566599, 334189590, 337822647, 341463183, 345114471, 348773089, 352446520, 356130060, 359822943, 363525452, 367236550, 370957592, 374688480, 378428036, 382174602, 385927504, 389690524, 393466480, 397251551, 401042478, 404845863, 408660098, 412478347, 416308215, 420145642, 423995145, 427853360, 431713692, 435588576, 439472499, 443364342, 447267153, 451175443, 455093361, 459021646, 462954899, 466893471, 470843271, 474802039, 478768601, 482747852, 486732908, 490723987, 494721180, 498729979, 502747321, 506769183, 510803719, 514836909, 518888264, 522943149, 527009684, 531080936, 535160615, 539248876, 543343496, 547445971, 551549848, 555671516, 559796450, 563929693, 568071062, 572222358, 576379795, 580546704, 584717474, 588898558, 593085784, 597273459, 601475918, 605687525, 609902074, 614128828, 618361533, 622596410, 626843479, 631094594, 635359142, 639626237] + +Built regression model! +Model info: + r^2: 0.9999999992000203 + p-value: 0 + intercept: -3.396850372501902 + slope: 1.3353939062135725 +Fractal dimension: 1.3353939062135725 diff --git a/fractal_dimension/circle_counting_new/output5e7/pyramids/hexagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output5e7/pyramids/hexagonal_pyramid.txt new file mode 100644 index 0000000..80b3f2b --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/pyramids/hexagonal_pyramid.txt @@ -0,0 +1,24 @@ +Counting circles +14% 20m 18.635118444s remaining +29% 10m 30.582726447000027s remaining +43% 6m 41.70142064700002s remaining +57% 4m 22.708094834999997s remaining +71% 2m 39.724636124s remaining +86% 1m 14.736839914s remaining + +Took 8m 17.567272806999995s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[299557547, 303533034, 307522217, 311520826, 315536174, 319562648, 323604037, 327661582, 331728742, 335807049, 339899064, 344004284, 348118951, 352245295, 356387064, 360541352, 364706342, 368883129, 373071758, 377271312, 381484981, 385710930, 389946416, 394195399, 398458723, 402732693, 407015730, 411309633, 415613570, 419934865, 424263270, 428601217, 432951142, 437310904, 441680041, 446063428, 450461063, 454867885, 459284305, 463710164, 468146916, 472597527, 477053880, 481523389, 485998859, 490491816, 494993889, 499505766, 504027730, 508562533, 513104387, 517655330, 522221384, 526793601, 531375301, 535968978, 540571335, 545181216, 549806428, 554434895, 559077488, 563732430, 568394852, 573064389, 577742652, 582434044, 587134026, 591841978, 596558525, 601285931, 606024227, 610771674, 615532607, 620298325, 625073873, 629856270, 634652693, 639457890, 644272748, 649092871, 653923605, 658764021, 663612984, 668470000, 673335662, 678211887, 683096077, 687990559, 692894180, 697806171, 702726233, 707649807, 712587314, 717530247, 722483073, 727445789, 732413741, 737392784, 742380256, 747376728] + +Built regression model! +Model info: + r^2: 0.9999999994435849 + p-value: 0 + intercept: -3.291303729590208 + slope: 1.3382225330126407 +Fractal dimension: 1.3382225330126407 diff --git a/fractal_dimension/circle_counting_new/output5e7/pyramids/nonagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output5e7/pyramids/nonagonal_pyramid.txt new file mode 100644 index 0000000..231f799 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/pyramids/nonagonal_pyramid.txt @@ -0,0 +1,27 @@ +Counting circles +10% 34m 5.033081549999906s remaining +20% 17m 13.272561859999996s remaining +30% 11m 16.57853676000002s remaining +40% 8m 2.6874922310000215s remaining +50% 5m 53.36569343299999s remaining +60% 4m 16.226999148999994s remaining +70% 2m 57.69954832799999s remaining +80% 1m 51.123041822000005s remaining +90% 52.715725862s remaining + +Took 8m 24.856289130999983s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[209551460, 212314356, 215088934, 217870939, 220663194, 223462794, 226272021, 229088304, 231911595, 234743897, 237586621, 240438084, 243297864, 246165167, 249039611, 251922890, 254818839, 257719263, 260628936, 263545975, 266469779, 269402529, 272342851, 275290298, 278245532, 281208360, 284181996, 287161410, 290145002, 293140712, 296143574, 299151591, 302170043, 305195468, 308227688, 311268688, 314320061, 317374909, 320436802, 323503379, 326578818, 329664197, 332751470, 335848151, 338951927, 342062327, 345181967, 348307976, 351441689, 354586872, 357735497, 360892693, 364052072, 367219939, 370394142, 373575909, 376763897, 379959175, 383158680, 386365463, 389579530, 392802495, 396030997, 399264791, 402505551, 405753556, 409007257, 412264969, 415533002, 418808765, 422089752, 425374539, 428666910, 431961701, 435266670, 438577460, 441890815, 445211483, 448543977, 451879296, 455221983, 458568854, 461922336, 465281933, 468644872, 472017930, 475397475, 478781908, 482169021, 485565139, 488963809, 492370782, 495786036, 499210877, 502637168, 506067146, 509504659, 512946561, 516395065, 519849179] + +Built regression model! +Model info: + r^2: 0.9999999990035328 + p-value: 0 + intercept: -3.505826810641757 + slope: 1.3298447999614191 +Fractal dimension: 1.3298447999614191 diff --git a/fractal_dimension/circle_counting_new/output5e7/pyramids/octagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output5e7/pyramids/octagonal_pyramid.txt new file mode 100644 index 0000000..2a3d716 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/pyramids/octagonal_pyramid.txt @@ -0,0 +1,26 @@ +Counting circles +11% 29m 7.263818407999906s remaining +22% 14m 45.96026132899999s remaining +33% 9m 36.15932702199996s remaining +44% 6m 43.89295776300003s remaining +56% 4m 46.438606660999994s remaining +67% 3m 16.37894270199999s remaining +78% 2m 2.057152166999998s remaining +89% 57.69405744s remaining + +Took 8m 16.033350369000004s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[228936979, 231960161, 234996306, 238042926, 241096476, 244162531, 247237372, 250321645, 253415148, 256516377, 259628081, 262749404, 265879164, 269019723, 272168238, 275327522, 278496177, 281672757, 284858084, 288054293, 291258180, 294469738, 297689680, 300919850, 304155495, 307406417, 310664938, 313928873, 317201612, 320482899, 323770551, 327068522, 330372872, 333685389, 337010572, 340339254, 343675503, 347022931, 350378983, 353739843, 357108493, 360487931, 363873782, 367267738, 370671544, 374081436, 377497330, 380921685, 384354995, 387794647, 391242973, 394698403, 398162053, 401632708, 405109891, 408597342, 412092907, 415593368, 419104231, 422617540, 426142354, 429673314, 433214036, 436756897, 440311387, 443870203, 447434391, 451007706, 454589920, 458179172, 461774811, 465379295, 468988818, 472607039, 476229099, 479859628, 483497059, 487140707, 490790915, 494447028, 498112753, 501784502, 505462323, 509147223, 512837848, 516535311, 520236761, 523946864, 527661403, 531382609, 535108995, 538844158, 542586592, 546335475, 550091514, 553856731, 557629348, 561405929, 565188935, 568980926] + +Built regression model! +Model info: + r^2: 0.9999999979341467 + p-value: 0 + intercept: -3.4630505151231965 + slope: 1.3325255853998408 +Fractal dimension: 1.3325255853998408 diff --git a/fractal_dimension/circle_counting_new/output5e7/pyramids/pentagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output5e7/pyramids/pentagonal_pyramid.txt new file mode 100644 index 0000000..2e9e657 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/pyramids/pentagonal_pyramid.txt @@ -0,0 +1,23 @@ +Counting circles +17% 16m 33.32495437499995s remaining +33% 8m 47.11183598399998s remaining +50% 5m 28.430642444s remaining +67% 3m 16.643229781000002s remaining +83% 1m 31.638572619s remaining + +Took 8m 43.083828868999944s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[370102718, 375018647, 379954188, 384903175, 389872946, 394852353, 399849590, 404865942, 409894451, 414941905, 420001302, 425077065, 430169090, 435276211, 440398806, 445532947, 450685593, 455852633, 461037982, 466235862, 471448677, 476673786, 481913980, 487172915, 492443317, 497725909, 503022915, 508332659, 513661558, 519001564, 524361640, 529734575, 535120046, 540516787, 545928538, 551352139, 556787158, 562236352, 567699461, 573176781, 578669110, 584176100, 589690973, 595223246, 600769520, 606325529, 611893972, 617479117, 623073987, 628684297, 634308405, 639940950, 645588280, 651246298, 656922197, 662603013, 668303252, 674007139, 679728578, 685462983, 691203999, 696961177, 702727279, 708507492, 714299254, 720107331, 725924649, 731754451, 737594023, 743446410, 749311583, 755189026, 761075261, 766974981, 772885440, 778809194, 784741996, 790690310, 796645949, 802614455, 808595675, 814585474, 820588130, 826595771, 832620037, 838656918, 844705094, 850760729, 856827746, 862905556, 868996150, 875096114, 881206234, 887329967, 893462832, 899602414, 905754620, 911918922, 918092634, 924277432] + +Built regression model! +Model info: + r^2: 0.9999999995785446 + p-value: 0 + intercept: -3.1040654865486665 + slope: 1.3396446028063274 +Fractal dimension: 1.3396446028063274 diff --git a/fractal_dimension/circle_counting_new/output5e7/pyramids/square_pyramid.txt b/fractal_dimension/circle_counting_new/output5e7/pyramids/square_pyramid.txt new file mode 100644 index 0000000..fdeb491 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/pyramids/square_pyramid.txt @@ -0,0 +1,22 @@ +Counting circles +20% 12m 39.662518532000036s remaining +40% 7m 7.328571751000027s remaining +60% 4m 13.233682718000011s remaining +80% 1m 58.704647292000004s remaining + +Took 9m 29.818060469999978s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[498252315, 504851095, 511468157, 518112699, 524775451, 531464508, 538168721, 544897424, 551642292, 558405885, 565187173, 572004237, 578829289, 585679497, 592550418, 599444935, 606360426, 613294212, 620245515, 627210547, 634213373, 641219237, 648250890, 655294104, 662359079, 669453815, 676560465, 683679001, 690824333, 697977079, 705151970, 712352197, 719573915, 726804213, 734048166, 741311421, 748604354, 755914047, 763235085, 770577262, 777930623, 785304235, 792699432, 800105630, 807536621, 814979312, 822441043, 829917994, 837409364, 844922850, 852447922, 859990954, 867551056, 875126402, 882729638, 890345912, 897976008, 905619596, 913283463, 920966365, 928662949, 936369442, 944096020, 951833611, 959599403, 967369306, 975160950, 982978255, 990791531, 998628303, 1006481742, 1014342545, 1022219417, 1030123667, 1038042468, 1045966357, 1053906894, 1061873929, 1069845221, 1077833754, 1085843178, 1093862219, 1101904114, 1109956568, 1118027364, 1126108395, 1134194601, 1142299919, 1150423850, 1158554489, 1166701730, 1174859523, 1183036733, 1191223990, 1199429122, 1207655117, 1215890916, 1224128060, 1232400133, 1240675754] + +Built regression model! +Model info: + r^2: 0.9999999973241316 + p-value: 0 + intercept: -2.733224031283328 + slope: 1.3353318966035501 +Fractal dimension: 1.3353318966035501 diff --git a/fractal_dimension/circle_counting_new/output5e7/rhombic/rhombic_dodecahedron.txt b/fractal_dimension/circle_counting_new/output5e7/rhombic/rhombic_dodecahedron.txt new file mode 100644 index 0000000..b03209e --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/rhombic/rhombic_dodecahedron.txt @@ -0,0 +1,31 @@ +Counting circles +7% 30m 52.200630189000094s remaining +14% 28m 29.629218437999953s remaining +21% 26m 7.118158990999973s remaining +29% 23m 44.598258402000056s remaining +36% 26m 52.055106687000034s remaining +43% 27m 8.529041221999933s remaining +50% 25m 47.2379504779999s remaining +57% 23m 24.740463616999932s remaining +64% 18m 39.68702093599995s remaining +71% 14m 23.19425568700001s remaining +79% 10m 27.40627645899997s remaining +86% 7m 17.72402904400002s remaining +93% 3m 32.988209487000006s remaining + +Took 51m 34.839287269000124s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[948923626, 962948752, 977048795, 991211604, 1005435224, 1019741108, 1034104666, 1048532006, 1063021478, 1077580956, 1092199298, 1106880312, 1121641795, 1136467887, 1151353151, 1166293739, 1181302303, 1196370983, 1211508257, 1226698812, 1241948209, 1257252410, 1272629076, 1288078809, 1303581212, 1319149872, 1334773385, 1350455078, 1366206764, 1382004550, 1397873009, 1413800076, 1429779893, 1445812130, 1461912559, 1478065222, 1494281456, 1510566294, 1526895384, 1543284514, 1559732140, 1576233113, 1592800380, 1609422765, 1626109536, 1642842301, 1659640715, 1676480731, 1693369074, 1710324235, 1727336772, 1744404908, 1761525548, 1778708501, 1795936381, 1813217803, 1830563265, 1847955073, 1865402816, 1882887119, 1900445176, 1918056648, 1935719636, 1953426019, 1971195001, 1989007961, 2006892153, 2024815982, 2042789038, 2060834004, 2078907988, 2097039259, 2115227625, 2133468003, 2151758263, 2170088361, 2188469947, 2206919147, 2225417144, 2243952128, 2262550114, 2281184482, 2299885193, 2318638568, 2337439911, 2356288369, 2375181076, 2394125335, 2413116126, 2432153599, 2451254030, 2470381774, 2489566029, 2508801129, 2528090120, 2547424775, 2566806338, 2586237272, 2605720011, 2625254379] + +Built regression model! +Model info: + r^2: 0.9999999996927919 + p-value: 0 + intercept: -4.7161003477981716 + slope: 1.489464977294569 +Fractal dimension: 1.489464977294569 diff --git a/fractal_dimension/circle_counting_new/output5e7/rhombic/rhombic_triacontahedron.txt b/fractal_dimension/circle_counting_new/output5e7/rhombic/rhombic_triacontahedron.txt new file mode 100644 index 0000000..dd55ddc --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e7/rhombic/rhombic_triacontahedron.txt @@ -0,0 +1,49 @@ +Counting circles +3% 137m 59.5400237190006s remaining +6% 130m 34.186668674999964s remaining +9% 124m 10.918554261000281s remaining +13% 117m 33.96458674600035s remaining +16% 114m 42.86472188500011s remaining +19% 111m 19.489480983999783s remaining +22% 105m 51.46818975299993s remaining +25% 100m 47.120657708999715s remaining +28% 96m 44.741052985999886s remaining +31% 92m 23.144102264999674s remaining +34% 88m 18.022895752000295s remaining +38% 83m 59.390610360999744s remaining +41% 75m 23.25520640600007s remaining +44% 67m 44.46421873600002s remaining +47% 61m 3.391597728999841s remaining +50% 54m 58.704851426999994s remaining +53% 49m 37.335505986000044s remaining +56% 44m 41.930071062000025s remaining +59% 40m 2.800247514000148s remaining +63% 35m 44.142847748999884s remaining +66% 31m 49.141032932999906s remaining +69% 28m 9.005793710000034s remaining +72% 24m 40.02269655300006s remaining +75% 21m 22.913678091000065s remaining +78% 18m 18.377919981000105s remaining +81% 15m 21.661408454000025s remaining +84% 12m 33.30390133699996s remaining +88% 9m 51.262891577000005s remaining +91% 7m 15.030496061999997s remaining +94% 4m 44.58661221s remaining +97% 2m 19.847889764s remaining + +Took 73m 18.790437706000375s to count circles + +Done counting circles! +sample points: +[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0] + +number of circles fewer than each of those sample points: +[520816404, 528569404, 536366161, 544195906, 552062543, 559967556, 567908075, 575889872, 583905959, 591963702, 600058481, 608181619, 616343695, 624538295, 632776841, 641049380, 649355495, 657695354, 666070431, 674486169, 682930984, 691408248, 699926625, 708478198, 717069109, 725694196, 734349554, 743036923, 751758150, 760520954, 769312936, 778145338, 787004610, 795898518, 804824819, 813781733, 822773393, 831789562, 840841354, 849932488, 859055553, 868215915, 877402112, 886619537, 895868820, 905151235, 914467495, 923821933, 933199604, 942610255, 952051283, 961523185, 971022371, 980556431, 990123731, 999724218, 1009354776, 1019014197, 1028707072, 1038428690, 1048177746, 1057953445, 1067768811, 1077610658, 1087483027, 1097383389, 1107309754, 1117269693, 1127257674, 1137275102, 1147319080, 1157398676, 1167509391, 1177646403, 1187819316, 1198011672, 1208239631, 1218495555, 1228778654, 1239094406, 1249437860, 1259806326, 1270208985, 1280634733, 1291086651, 1301566139, 1312080888, 1322618836, 1333180650, 1343777646, 1354401153, 1365049816, 1375727320, 1386431201, 1397168325, 1407933571, 1418723640, 1429537127, 1440384752, 1451258114] + +Built regression model! +Model info: + r^2: 0.9999999993082168 + p-value: 0 + intercept: -5.4951190630294064 + slope: 1.4999718514284974 +Fractal dimension: 1.4999718514284974 diff --git a/fractal_dimension/circle_counting_new/output5e8/antiprisms/decagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output5e8/antiprisms/decagonal_antiprism.txt new file mode 100644 index 0000000..c8f50dd --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/antiprisms/decagonal_antiprism.txt @@ -0,0 +1,37 @@ +Counting circles +5% 4590m 18.903586755972356s remaining +10% 4226m 52.02489463798702s remaining +15% 3823m 59.98724998900434s remaining +20% 3426m 20.16991504401085s remaining +25% 3070m 0.18590561699238606s remaining +30% 2774m 4.368081674008863s remaining +35% 2535m 11.61417203801102s remaining +40% 2344m 1.3108547249867115s remaining +45% 2180m 55.244639986005495s remaining +50% 2023m 31.93579170400335s remaining +55% 1849m 2.2399723660055315s remaining +60% 1645m 3.3105507349973777s remaining +65% 1427m 9.608890639996389s remaining +70% 1206m 10.565480649995152s remaining +75% 989m 58.62423024899908s remaining +80% 782m 29.9613210680036s remaining +85% 583m 27.913136239003506s remaining +90% 389m 30.098248325000895s remaining +95% 196m 3.9280137719997583s remaining + +Took 3954m 56.311974334996194s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[36807365032, 37331613826, 37858086046, 38386808693, 38917733202, 39450849880, 39986187074, 40523644618, 41063272927, 41605116479, 42149142596, 42695302664, 43243527807, 43793882637, 44346340821, 44900939628, 45457598166, 46016336647, 46577131220, 47139976083, 47704860522, 48271823928, 48840794741, 49411771327, 49984784825, 50559768465, 51136782986, 51715752988, 52296645076, 52879562851, 53464416145, 54051206265, 54639939658, 55230606723, 55823183778, 56417672117, 57014107022, 57612413974, 58212597200, 58814715803, 59418687060, 60024473089, 60632216505, 61241762748, 61853170303, 62466350415, 63081390928, 63698314709, 64317037074, 64937512874, 65559787936, 66183912071, 66809817373, 67437511251, 68066938886, 68698142436, 69331099377, 69965858419, 70602316728, 71240518513, 71880528209, 72522259916, 73165726182, 73810847458, 74457730268, 75106294850, 75756586158, 76408559734, 77062223131, 77717614047, 78374627331, 79033353333, 79693772699, 80355825058, 81019581202, 81684973382, 82351959080, 83020647641, 83690962953, 84362927885, 85036510877, 85711630961, 86388415574, 87066811616, 87746866217, 88428512483, 89111702858, 89796543488, 90482942962, 91170920986, 91860469741, 92551609953, 93244335758, 93938633776, 94634495384, 95331904679, 96030862719, 96731353483, 97433394782, 98136969568] + +Built regression model! +Model info: + r^2: 0.9999999999820829 + p-value: 0 + intercept: -3.4416949042362432 + slope: 1.435404587282053 +Fractal dimension: 1.435404587282053 diff --git a/fractal_dimension/circle_counting_new/output5e8/antiprisms/heptagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output5e8/antiprisms/heptagonal_antiprism.txt new file mode 100644 index 0000000..7f5c8b5 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/antiprisms/heptagonal_antiprism.txt @@ -0,0 +1,31 @@ +Counting circles +7% 2199m 38.23800292299711s remaining +14% 2007m 54.134293570998125s remaining +21% 1824m 8.193077254996751s remaining +29% 1639m 43.40187526900263s remaining +36% 1468m 41.485342390995356s remaining +43% 1307m 37.07622438100225s remaining +50% 1150m 33.454279889003374s remaining +57% 989m 17.33787009400112s remaining +64% 823m 38.93585328700283s remaining +71% 656m 7.880011768000259s remaining +79% 490m 14.576078401001723s remaining +86% 326m 26.33341871200173s remaining +93% 163m 29.783631623000474s remaining + +Took 2296m 8.030550305003999s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[30773887903, 31207827482, 31643555164, 32081050389, 32520359488, 32961446010, 33404271878, 33848810009, 34295115444, 34743140040, 35192917626, 35644381674, 36097560666, 36552443330, 37008971343, 37467164985, 37927045543, 38388524132, 38851707122, 39316517489, 39782951941, 40251025545, 40720738821, 41192097007, 41664980768, 42139489647, 42615635810, 43093330358, 43572594301, 44053385245, 44535751005, 45019648899, 45505176347, 45992219954, 46480767777, 46970844016, 47462430729, 47955538604, 48450161567, 48946244280, 49443851241, 49942988598, 50443557651, 50945608763, 51449192260, 51954188592, 52460626406, 52968572113, 53477952819, 53988699972, 54500998218, 55014650652, 55529738662, 56046259526, 56564193045, 57083527630, 57604255511, 58126403409, 58649898050, 59174832744, 59701092088, 60228797763, 60757895685, 61288379057, 61820174154, 62353360741, 62887868914, 63423728778, 63960938544, 64499518366, 65039366357, 65580580725, 66123089278, 66666961734, 67212183489, 67758631162, 68306404966, 68855537697, 69405960322, 69957687977, 70510664448, 71064943584, 71620523624, 72177334454, 72735494579, 73294922065, 73855559333, 74417486361, 74980691618, 75545113252, 76110820530, 76677798679, 77245973640, 77815437833, 78386116361, 78958059638, 79531195062, 80105573759, 80681176006, 81257992946] + +Built regression model! +Model info: + r^2: 0.9999999999819452 + p-value: 0 + intercept: -3.3458924227847078 + slope: 1.4211991218891724 +Fractal dimension: 1.4211991218891724 diff --git a/fractal_dimension/circle_counting_new/output5e8/antiprisms/hexagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output5e8/antiprisms/hexagonal_antiprism.txt new file mode 100644 index 0000000..f641819 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/antiprisms/hexagonal_antiprism.txt @@ -0,0 +1,29 @@ +Counting circles +8% 1747m 27.197350059999735s remaining +17% 1578m 47.12568206999276s remaining +25% 1412m 35.579982434996055s remaining +33% 1251m 18.877743065997493s remaining +42% 1094m 49.84826626400172s remaining +50% 940m 15.178053021998494s remaining +58% 784m 30.34600970899919s remaining +67% 627m 2.726483742997516s remaining +75% 469m 39.803918337998766s remaining +83% 312m 58.815119949998916s remaining +92% 156m 56.74886741999944s remaining + +Took 1881m 38.27981853700476s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[27679424773, 28067382388, 28456861886, 28847946191, 29240575685, 29634744221, 30030475062, 30427680920, 30826445973, 31226677799, 31628477852, 32031756436, 32436542741, 32842766556, 33250502511, 33659659788, 34070296930, 34482420850, 34895970976, 35310966170, 35727367477, 36145143281, 36564372174, 36984984670, 37407072250, 37830491938, 38255313366, 38681521690, 39109128169, 39538112560, 39968425964, 40400125278, 40833170023, 41267557770, 41703281812, 42140348071, 42578737783, 43018413123, 43459433125, 43901780839, 44345458930, 44790375534, 45236610831, 45684149165, 46132964475, 46583060419, 47034409668, 47487063436, 47940955793, 48396103087, 48852511222, 49310175107, 49769089728, 50229228023, 50690637580, 51153270061, 51617106953, 52082163727, 52548403482, 53015847584, 53484506022, 53954417914, 54425511805, 54897777836, 55371211190, 55845866453, 56321761093, 56798771154, 57277007015, 57756374378, 58236879409, 58718574765, 59201368877, 59685351895, 60170502583, 60656813310, 61144254600, 61632807714, 62122566939, 62613421162, 63105402636, 63598508627, 64092755572, 64588104740, 65084541789, 65582134819, 66080764103, 66580541080, 67081362756, 67583318435, 68086328394, 68590441106, 69095633161, 69601904032, 70109287004, 70617728177, 71127260619, 71637824298, 72149441470, 72662197741] + +Built regression model! +Model info: + r^2: 0.9999999999851885 + p-value: 0 + intercept: -3.2868567008500307 + slope: 1.412669726659721 +Fractal dimension: 1.412669726659721 diff --git a/fractal_dimension/circle_counting_new/output5e8/antiprisms/nonagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output5e8/antiprisms/nonagonal_antiprism.txt new file mode 100644 index 0000000..17bbbed --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/antiprisms/nonagonal_antiprism.txt @@ -0,0 +1,35 @@ +Counting circles +6% 255m 21.253981451000072s remaining +11% 240m 19.961257200000546s remaining +17% 231m 31.272295603999737s remaining +22% 225m 58.06881489499938s remaining +28% 220m 1.7852068569991388s remaining +33% 210m 50.60613554600059s remaining +39% 197m 12.526628138000888s remaining +44% 179m 42.825517101000514s remaining +50% 160m 3.9191693249995296s remaining +56% 133m 27.353768818999924s remaining +61% 110m 38.56512794799983s remaining +67% 90m 49.37688085100035s remaining +72% 73m 10.063377378000041s remaining +78% 56m 57.003412621999814s remaining +83% 41m 41.00775276400009s remaining +89% 27m 7.596923186999902s remaining +94% 13m 13.437179753999999s remaining + +Took 231m 51.661124144000496s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[2332418608, 2365521936, 2398809161, 2432229411, 2465791228, 2499467122, 2533295661, 2567271068, 2601373463, 2635593581, 2669965000, 2704457558, 2739085470, 2773863530, 2808754280, 2843786709, 2878930760, 2914237360, 2949680791, 2985223666, 3020895166, 3056698694, 3092634358, 3128697941, 3164890352, 3201215349, 3237695460, 3274260436, 3310939547, 3347735043, 3384680080, 3421723557, 3458899117, 3496211143, 3533605844, 3571146166, 3608786979, 3646556483, 3684444903, 3722429396, 3760546105, 3798780773, 3837121173, 3875579186, 3914184144, 3952885837, 3991686215, 4030618090, 4069669837, 4108842647, 4148102293, 4187484815, 4226988818, 4266594542, 4306320543, 4346118744, 4386077437, 4426131270, 4466274213, 4506541359, 4546943686, 4587417517, 4628022366, 4668730841, 4709553740, 4750471036, 4791482559, 4832618471, 4873889879, 4915237310, 4956699916, 4998255349, 5039927718, 5081667855, 5123529967, 5165494226, 5207544258, 5249734626, 5292049953, 5334420229, 5376897654, 5419498337, 5462193965, 5504988781, 5547868549, 5590837069, 5633927981, 5677105642, 5720380698, 5763756101, 5807246418, 5850843662, 5894529230, 5938309078, 5982183350, 6026160705, 6070213900, 6114381238, 6158645782, 6203030173] + +Built regression model! +Model info: + r^2: 0.9999999987967996 + p-value: 0 + intercept: -6.128608007728879 + slope: 1.4316887193576442 +Fractal dimension: 1.4316887193576442 diff --git a/fractal_dimension/circle_counting_new/output5e8/antiprisms/octagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output5e8/antiprisms/octagonal_antiprism.txt new file mode 100644 index 0000000..790baa5 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/antiprisms/octagonal_antiprism.txt @@ -0,0 +1,33 @@ +Counting circles +6% 2842m 15.054474734992255s remaining +13% 2605m 52.0196266839921s remaining +19% 2356m 0.08796137699391693s remaining +25% 2119m 13.208180903995526s remaining +31% 1909m 47.34058234699478s remaining +38% 1727m 32.771813632993144s remaining +44% 1564m 27.10839200099872s remaining +50% 1405m 7.219695007996052s remaining +56% 1240m 59.897655597000266s remaining +63% 1069m 0.37277384500339394s remaining +69% 889m 25.881183534998854s remaining +75% 708m 46.94166062900331s remaining +81% 530m 38.03608118799821s remaining +88% 354m 33.70365633799884s remaining +94% 178m 22.92471970999941s remaining + +Took 2875m 13.108084714011056s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[33213882214, 33684236507, 34156533830, 34630853365, 35107079750, 35585228305, 36065349527, 36547389317, 37031369450, 37517242329, 38004968547, 38494600901, 38986062441, 39479427993, 39974588215, 40471623609, 40970474350, 41471213135, 41973771715, 42478069252, 42984177157, 43492048552, 44001744906, 44513218264, 45026492147, 45541464961, 46058213815, 46576717316, 47096906334, 47618815767, 48142474492, 48667870046, 49194956059, 49723745005, 50254235309, 50786403687, 51320254640, 51855714676, 52392832756, 52931609542, 53472069618, 54014190703, 54557907877, 55103275141, 55650238512, 56198898638, 56749101603, 57300906484, 57854282712, 58409268038, 58965866003, 59524031619, 60083715244, 60644982304, 61207833419, 61772226531, 62338190751, 62905691079, 63474725983, 64045249531, 64617312398, 65190884930, 65765986473, 66342646518, 66920832349, 67500499889, 68081629485, 68664225442, 69248318426, 69833938868, 70421021804, 71009517161, 71599534691, 72190936556, 72783819837, 73378238312, 73974057581, 74571290761, 75169961615, 75770096033, 76371604957, 76974550832, 77578892970, 78184677352, 78791870711, 79400449702, 80010444641, 80621797491, 81234568169, 81848708335, 82464283473, 83081243679, 83699520897, 84319216737, 84940258522, 85562638527, 86186442593, 86811520792, 87437989353, 88065800751] + +Built regression model! +Model info: + r^2: 0.9999999999400481 + p-value: 0 + intercept: -3.387357180655769 + slope: 1.4272858202905598 +Fractal dimension: 1.4272858202905598 diff --git a/fractal_dimension/circle_counting_new/output5e8/antiprisms/pentagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output5e8/antiprisms/pentagonal_antiprism.txt new file mode 100644 index 0000000..6626a5f --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/antiprisms/pentagonal_antiprism.txt @@ -0,0 +1,27 @@ +Counting circles +10% 1165m 32.39918979599315s remaining +20% 1034m 54.02598549600225s remaining +30% 904m 52.77410182199674s remaining +40% 775m 24.751766594999935s remaining +50% 646m 19.89823073900334s remaining +60% 517m 5.40825588000007s remaining +70% 387m 45.915680386999156s remaining +80% 258m 27.32928609800001s remaining +90% 129m 13.901479725999707s remaining + +Took 1293m 56.57976929900178s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[23638488014, 23966780378, 24296350987, 24627199245, 24959313143, 25292687649, 25627309342, 25963188553, 26300281527, 26638671764, 26978304802, 27319115652, 27661160386, 28004440920, 28348919145, 28694568920, 29041414579, 29389483098, 29738720209, 30089141403, 30440730270, 30793445706, 31147366321, 31502451936, 31858645555, 32215981856, 32574458088, 32934058404, 33294806131, 33656643707, 34019625074, 34383682995, 34748852767, 35115138427, 35482540047, 35851023544, 36220587805, 36591209022, 36962895650, 37335662497, 37709492749, 38084409954, 38460381849, 38837399939, 39215469737, 39594580655, 39974772346, 40355964594, 40738153653, 41121422097, 41505677311, 41890937073, 42277234904, 42664508049, 43052819395, 43442144671, 43832454432, 44223732033, 44616020676, 45009260131, 45403503350, 45798759480, 46194987481, 46592220747, 46990407984, 47389535246, 47789621532, 48190664040, 48592663469, 48995643273, 49399538369, 49804402171, 50210215651, 50616996802, 51024660510, 51433243118, 51842754055, 52253221537, 52664572194, 53076886092, 53490078966, 53904223557, 54319264966, 54735234028, 55152110939, 55569851576, 55988517975, 56408054952, 56828486307, 57249835069, 57672017857, 58095152911, 58519155471, 58944024180, 59369747171, 59796362288, 60223851259, 60652205384, 61081424742, 61511502269] + +Built regression model! +Model info: + r^2: 0.999999999965814 + p-value: 0 + intercept: -3.195974937395782 + slope: 1.3998153748689177 +Fractal dimension: 1.3998153748689177 diff --git a/fractal_dimension/circle_counting_new/output5e8/antiprisms/square_antiprism.txt b/fractal_dimension/circle_counting_new/output5e8/antiprisms/square_antiprism.txt new file mode 100644 index 0000000..633e85c --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/antiprisms/square_antiprism.txt @@ -0,0 +1,25 @@ +Counting circles +13% 705m 34.73996464299853s remaining +25% 604m 36.37551471599727s remaining +38% 503m 51.39974358600011s remaining +50% 403m 4.613381662999018s remaining +63% 302m 19.5048372199999s remaining +75% 201m 34.108267387000524s remaining +88% 100m 47.08127536499978s remaining + +Took 806m 11.597118653997313s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[18193432364, 18442165408, 18691813049, 18942401405, 19193862555, 19446259754, 19699566203, 19953787136, 20208893428, 20464882081, 20721772351, 20979482196, 21238083888, 21497559453, 21757876758, 22019064240, 22281123572, 22544000696, 22807754817, 23072349589, 23337780756, 23604061619, 23871152357, 24139040681, 24407760611, 24677309054, 24947668663, 25218857448, 25490839066, 25763585537, 26037131315, 26311452800, 26586598200, 26862523188, 27139259862, 27416742124, 27694993967, 27974036701, 28253816515, 28534371998, 28815718177, 29097797000, 29380641898, 29664234498, 29948551291, 30233620641, 30519462558, 30806014429, 31093285639, 31381287819, 31670009365, 31959463105, 32249621456, 32540546848, 32832163155, 33124469945, 33417494181, 33711208991, 34005647226, 34300798468, 34596624676, 34893136927, 35190357331, 35488283164, 35786909686, 36086198672, 36386136200, 36686804462, 36988108920, 37290130020, 37592814901, 37896137375, 38200150701, 38504798140, 38810133948, 39116143604, 39422843140, 39730172325, 40038183687, 40346833889, 40656105465, 40966038145, 41276594691, 41587827395, 41899690583, 42212201505, 42525321390, 42839087680, 43153469299, 43468472847, 43784102144, 44100355243, 44417217233, 44734688260, 45052836039, 45371553190, 45690887591, 46010854780, 46331452547, 46652672696] + +Built regression model! +Model info: + r^2: 0.999999999854489 + p-value: 0 + intercept: -3.0424613068814637 + slope: 1.3783473933850796 +Fractal dimension: 1.3783473933850796 diff --git a/fractal_dimension/circle_counting_new/output5e8/prisms/nonagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e8/prisms/nonagonal_prism.txt new file mode 100644 index 0000000..c9d2ac5 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/prisms/nonagonal_prism.txt @@ -0,0 +1,6 @@ +Counting circles +6% 5711m 37.66673813801026s remaining +11% 5317m 9.625930520007387s remaining +17% 4907m 20.05380068998784s remaining +22% 4525m 57.30978531000437s remaining +28% 4172m 9.410352723003598s remaining diff --git a/fractal_dimension/circle_counting_new/output5e8/prisms/pentagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e8/prisms/pentagonal_prism.txt new file mode 100644 index 0000000..9b4b035 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/prisms/pentagonal_prism.txt @@ -0,0 +1,27 @@ +Counting circles +10% 2197m 35.753012886008946s remaining +20% 1953m 16.62835438399634s remaining +30% 1709m 14.816383505996782s remaining +40% 1464m 53.012975078992895s remaining +50% 1220m 40.84325644900673s remaining +60% 976m 50.84602417200222s remaining +70% 736m 3.0006530309983646s remaining +80% 490m 21.275729222001246s remaining +90% 245m 3.1808642460000556s remaining + +Took 2454m 27.15575091500068s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[67559022901, 68573811556, 69593663312, 70618573415, 71648593086, 72683637959, 73723788956, 74768919191, 75819026243, 76874122598, 77934108743, 78998945874, 80068828026, 81143514915, 82223000106, 83307334658, 84396439605, 85490383297, 86589115778, 87692554586, 88800727865, 89913659291, 91031241792, 92153442296, 93280426678, 94411956534, 95548147272, 96688958661, 97834391253, 98984388051, 100138911532, 101297968865, 102461433527, 103629441117, 104801918303, 105978835382, 107160233475, 108346031774, 109536324363, 110730991318, 111930106050, 113133531940, 114341323656, 115553464519, 116769971120, 117990714197, 119215786050, 120445141652, 121678635725, 122916512461, 124158685635, 125405001868, 126655547889, 127910297986, 129169302905, 130432422106, 131699785948, 132971277653, 134246890222, 135526630432, 136810460926, 138098330192, 139390339649, 140686456054, 141986635111, 143290758416, 144598920272, 145911220101, 147227533159, 148547844915, 149872123085, 151200349492, 152532576343, 153868792412, 155208928048, 156552910294, 157900904002, 159252760025, 160608584443, 161968296363, 163331898257, 164699335616, 166070613409, 167445760340, 168824799178, 170207622242, 171594234288, 172984711804, 174379000314, 175776994885, 177178939339, 178584557412, 179993939724, 181406999711, 182823864649, 184244486911, 185668839348, 187096906060, 188528632796, 189964065270] + +Built regression model! +Model info: + r^2: 0.9999999999946947 + p-value: 0 + intercept: -4.340111638544798 + slope: 1.513231822455525 +Fractal dimension: 1.513231822455525 diff --git a/fractal_dimension/circle_counting_new/output5e8/pyramids/decagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output5e8/pyramids/decagonal_pyramid.txt new file mode 100644 index 0000000..18e3a61 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/pyramids/decagonal_pyramid.txt @@ -0,0 +1,28 @@ +Counting circles +9% 973m 12.10409393000009s remaining +18% 490m 46.48491262199968s remaining +27% 322m 46.05824327400114s remaining +36% 232m 54.260968962000334s remaining +45% 174m 2.0788745840000047s remaining +55% 130m 35.48124253599963s remaining +64% 96m 2.6369872550003493s remaining +73% 67m 11.820189932000176s remaining +82% 42m 16.281644981000227s remaining +91% 20m 11.092156075000048s remaining + +Took 213m 16.3228009329996s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[4154872239, 4209567865, 4264443708, 4319491877, 4374712423, 4430108688, 4485677793, 4541411380, 4597319105, 4653390955, 4709618446, 4766024806, 4822602586, 4879329448, 4936240755, 4993299157, 5050510091, 5107898286, 5165449248, 5223147906, 5281011045, 5339030580, 5397199740, 5455510389, 5513992457, 5572632307, 5631411373, 5690355186, 5749458165, 5808711316, 5868098896, 5927635433, 5987319732, 6047164036, 6107138936, 6167248389, 6227519562, 6287941659, 6348504642, 6409206754, 6470055987, 6531033597, 6592153086, 6653437017, 6714850865, 6776390119, 6838064453, 6899876447, 6961838234, 7023933762, 7086158176, 7148525504, 7211027342, 7273651641, 7336422400, 7399315691, 7462343073, 7525488025, 7588782790, 7652210945, 7715770439, 7779459789, 7843272439, 7907219497, 7971284104, 8035483289, 8099805109, 8164248659, 8228823123, 8293517923, 8358346185, 8423298365, 8488364960, 8553556853, 8618872898, 8684321785, 8749892372, 8815565816, 8881364802, 8947292014, 9013339847, 9079502744, 9145789035, 9212190070, 9278724473, 9345360123, 9412107953, 9478980618, 9545970330, 9613070366, 9680288247, 9747639397, 9815093153, 9882665414, 9950348621, 10018137011, 10086050055, 10154062141, 10222192340, 10290426013] + +Built regression model! +Model info: + r^2: 0.9999999999720974 + p-value: 0 + intercept: -3.5352539371218725 + slope: 1.3274876928622594 +Fractal dimension: 1.3274876928622594 diff --git a/fractal_dimension/circle_counting_new/output5e8/pyramids/heptagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output5e8/pyramids/heptagonal_pyramid.txt new file mode 100644 index 0000000..297e9bd --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/pyramids/heptagonal_pyramid.txt @@ -0,0 +1,25 @@ +Counting circles +13% 613m 13.421099658997264s remaining +25% 313m 10.241007368000282s remaining +38% 201m 57.465810122999756s remaining +50% 137m 57.80982433800091s remaining +63% 92m 50.97807365799963s remaining +75% 57m 10.756304583000201s remaining +88% 26m 54.19610759700004s remaining + +Took 205m 6.423037544000181s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[5560566411, 5634203891, 5708080031, 5782202594, 5856577296, 5931181637, 6006020497, 6081116273, 6156423863, 6231973696, 6307734761, 6383730659, 6459971668, 6536427364, 6613122775, 6690023198, 6767139009, 6844496497, 6922060771, 6999849423, 7077855092, 7156073306, 7234513803, 7313170668, 7392031476, 7471111735, 7550402795, 7629911708, 7709622786, 7789534141, 7869646500, 7949962074, 8030500651, 8111246485, 8192164608, 8273294204, 8354641253, 8436178134, 8517916253, 8599842140, 8681977754, 8764317350, 8846821718, 8929535269, 9012421924, 9095519425, 9178818126, 9262301888, 9345968351, 9429831893, 9513868911, 9598095712, 9682512256, 9767122182, 9851906556, 9936875116, 10022028256, 10107367342, 10192884152, 10278595007, 10364471154, 10450525319, 10536759141, 10623181359, 10709760259, 10796528261, 10883480719, 10970599295, 11057909719, 11145377735, 11233015631, 11320824825, 11408808663, 11496949731, 11585269997, 11673749155, 11762401800, 11851233127, 11940242280, 12029405100, 12118728649, 12208226467, 12297894878, 12387725901, 12477709992, 12567847193, 12658178325, 12748669781, 12839298592, 12930109542, 13021069122, 13112174869, 13203454142, 13294882549, 13386483255, 13478246187, 13570151858, 13662214051, 13754432475, 13846818963] + +Built regression model! +Model info: + r^2: 0.9999999999741764 + p-value: 0 + intercept: -3.3973091457930664 + slope: 1.3354204415913127 +Fractal dimension: 1.3354204415913127 diff --git a/fractal_dimension/circle_counting_new/output5e8/pyramids/hexagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output5e8/pyramids/hexagonal_pyramid.txt new file mode 100644 index 0000000..f2e3763 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/pyramids/hexagonal_pyramid.txt @@ -0,0 +1,24 @@ +Counting circles +14% 512m 42.91324506000092s remaining +29% 265m 13.236175340000045s remaining +43% 168m 56.81832488799955s remaining +57% 110m 30.948623987000246s remaining +71% 67m 12.328082442999857s remaining +86% 31m 26.805923770999925s remaining + +Took 209m 21.72015424900019s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[6526688212, 6613309671, 6700220074, 6787400527, 6874887017, 6962670015, 7050720574, 7139029399, 7227628841, 7316493204, 7405632666, 7495048712, 7584742502, 7674702486, 7764918440, 7855402575, 7946154534, 8037175279, 8128449198, 8220008834, 8311802543, 8403858529, 8496173701, 8588736975, 8681549740, 8774593504, 8867912730, 8961492832, 9055307189, 9149365974, 9243655591, 9338203358, 9432998772, 9528041020, 9623305935, 9718795831, 9814563224, 9910555676, 10006764111, 10103216578, 10199922926, 10296850252, 10394009371, 10491399377, 10589013559, 10686842007, 10784904142, 10883200220, 10981711010, 11080469414, 11179422327, 11278606540, 11378021308, 11477654378, 11577516416, 11677581185, 11777864701, 11878346079, 11979065682, 12079992361, 12181130297, 12282480489, 12384047136, 12485816131, 12587799268, 12689990794, 12792389005, 12895003749, 12997827369, 13100855128, 13204075230, 13307498163, 13411151243, 13515013737, 13619070875, 13723310965, 13827767402, 13932409004, 14037236097, 14142285094, 14247518154, 14352962875, 14458586877, 14564411373, 14670430352, 14776647997, 14883058302, 14989651409, 15096440880, 15203424567, 15310613091, 15417982954, 15525527457, 15633267220, 15741198720, 15849325878, 15957614252, 16066101522, 16174778362, 16283663196] + +Built regression model! +Model info: + r^2: 0.9999999999795399 + p-value: 0 + intercept: -3.2911053479664503 + slope: 1.338211438380835 +Fractal dimension: 1.338211438380835 diff --git a/fractal_dimension/circle_counting_new/output5e8/pyramids/nonagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output5e8/pyramids/nonagonal_pyramid.txt new file mode 100644 index 0000000..342a245 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/pyramids/nonagonal_pyramid.txt @@ -0,0 +1,27 @@ +Counting circles +10% 842m 32.050924142997246s remaining +20% 425m 32.35976483600098s remaining +30% 278m 20.911452682001254s remaining +40% 198m 22.21723173999999s remaining +50% 145m 9.342661307000526s remaining +60% 105m 15.934250440999676s remaining +70% 73m 4.191600928000298s remaining +80% 45m 44.550385474999985s remaining +90% 21m 44.19690938300005s remaining + +Took 208m 14.188596310999856s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[4478726911, 4537792086, 4597049448, 4656488929, 4716134736, 4775954400, 4835960386, 4896162813, 4956543868, 5017094798, 5077842970, 5138769525, 5199881572, 5261164184, 5322628090, 5384266119, 5446073867, 5508075498, 5570228457, 5632567888, 5695084833, 5757758101, 5820609397, 5883630601, 5946825300, 6010165780, 6073695008, 6137368890, 6201212017, 6265226906, 6329401105, 6393735773, 6458236755, 6522888587, 6587709395, 6652692489, 6717817826, 6783103167, 6848547951, 6914138256, 6979885305, 7045796216, 7111849546, 7178057707, 7244418100, 7310941051, 7377601201, 7444420450, 7511381647, 7578490318, 7645747498, 7713155421, 7780721312, 7848434917, 7916284204, 7984281088, 8052409988, 8120692588, 8189108999, 8257680622, 8326384123, 8395216411, 8464201240, 8533320799, 8602588785, 8672002557, 8741546030, 8811224851, 8881039153, 8950989771, 9021086396, 9091300071, 9161653494, 9232142291, 9302772660, 9373514396, 9444411775, 9515435985, 9586598325, 9657895235, 9729336623, 9800884171, 9872565508, 9944362729, 10016299097, 10088361071, 10160543371, 10232872835, 10305330718, 10377912638, 10450612219, 10523429889, 10596367372, 10669457496, 10742665386, 10815979089, 10889419474, 10963007974, 11036715549, 11110534070] + +Built regression model! +Model info: + r^2: 0.9999999999445032 + p-value: 0 + intercept: -3.5060107325446666 + slope: 1.3298557302315317 +Fractal dimension: 1.3298557302315317 diff --git a/fractal_dimension/circle_counting_new/output5e8/pyramids/octagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output5e8/pyramids/octagonal_pyramid.txt new file mode 100644 index 0000000..4e14c27 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/pyramids/octagonal_pyramid.txt @@ -0,0 +1,26 @@ +Counting circles +11% 721m 38.29279151999799s remaining +22% 365m 54.48703812700114s remaining +33% 237m 52.68337383399921s remaining +44% 166m 41.18282209499921s remaining +56% 118m 11.199790794999899s remaining +67% 81m 1.9465421240001888s remaining +78% 50m 22.899844872999893s remaining +89% 23m 49.44101752100005s remaining + +Took 205m 4.541321832999529s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[4923115719, 4988168690, 5053441301, 5118929012, 5184610271, 5250529949, 5316630660, 5382936072, 5449457429, 5516162553, 5583098319, 5650211801, 5717542445, 5785058988, 5852783165, 5920694798, 5988819011, 6057124048, 6125606997, 6194294543, 6263184628, 6332268766, 6401513330, 6470958249, 6540596926, 6610416104, 6680409467, 6750591984, 6820966693, 6891498970, 6962222713, 7033134875, 7104215229, 7175478493, 7246918490, 7318543027, 7390322122, 7462288330, 7534436678, 7606739518, 7679227162, 7751887668, 7824709232, 7897702337, 7970877086, 8044209149, 8117708598, 8191390766, 8265221853, 8339213708, 8413374440, 8487699887, 8562191462, 8636844498, 8711657037, 8786641445, 8861788227, 8937086020, 9012533656, 9088147026, 9163919391, 9239838885, 9315915205, 9392159439, 9468544461, 9545090231, 9621788251, 9698628470, 9775625955, 9852782800, 9930097853, 10007551031, 10085159919, 10162903465, 10240805278, 10318864441, 10397064733, 10475425297, 10553907260, 10632550005, 10711334176, 10790261899, 10869326299, 10948543698, 11027905435, 11107397243, 11187041990, 11266827615, 11346743571, 11426807455, 11507013534, 11587344456, 11667830436, 11748458707, 11829231711, 11910143886, 11991185572, 12072353299, 12153667552, 12235123966] + +Built regression model! +Model info: + r^2: 0.999999999949532 + p-value: 0 + intercept: -3.4628644290501995 + slope: 1.33251544237211 +Fractal dimension: 1.33251544237211 diff --git a/fractal_dimension/circle_counting_new/output5e8/pyramids/pentagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output5e8/pyramids/pentagonal_pyramid.txt new file mode 100644 index 0000000..2c9c68f --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/pyramids/pentagonal_pyramid.txt @@ -0,0 +1,23 @@ +Counting circles +17% 419m 42.7674664949991s remaining +33% 222m 52.70435474400074s remaining +50% 139m 10.155418868000197s remaining +67% 83m 25.84053401700021s remaining +83% 38m 52.889555654000105s remaining + +Took 221m 51.58236513799966s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[8090472103, 8197974249, 8305828483, 8414036877, 8522607946, 8631512928, 8740762536, 8850365673, 8960305400, 9070591171, 9181262260, 9292234314, 9403554553, 9515221224, 9627202695, 9739520635, 9852163833, 9965140387, 10078439992, 10192041556, 10305995784, 10420250202, 10534812545, 10649684723, 10764894123, 10880424529, 10996263315, 11112416927, 11228886209, 11345647571, 11462720437, 11580095480, 11697784239, 11815761470, 11934053992, 12052616352, 12171505089, 12290672822, 12410133310, 12529878995, 12649912568, 12770235812, 12890850142, 13011754669, 13132960441, 13254436988, 13376188010, 13498227936, 13620564920, 13743156416, 13866033486, 13989195691, 14112633467, 14236324055, 14360300756, 14484554604, 14609091207, 14733888589, 14858952653, 14984305096, 15109895918, 15235759881, 15361880702, 15488270860, 15614890087, 15741805419, 15868970054, 15996415640, 16124084044, 16252022287, 16380213289, 16508661651, 16637361094, 16766338648, 16895551812, 17025011364, 17154750078, 17284714788, 17414917743, 17545384951, 17676088317, 17807035453, 17938240660, 18069689882, 18201360724, 18333293096, 18465453264, 18597861692, 18730496949, 18863379320, 18996509810, 19129874267, 19263470688, 19397306739, 19531356956, 19665656438, 19800193828, 19934938891, 20069937783, 20205156737] + +Built regression model! +Model info: + r^2: 0.9999999999728332 + p-value: 0 + intercept: -3.1043041374976212 + slope: 1.3396579500243813 +Fractal dimension: 1.3396579500243813 diff --git a/fractal_dimension/circle_counting_new/output5e8/pyramids/square_pyramid.txt b/fractal_dimension/circle_counting_new/output5e8/pyramids/square_pyramid.txt new file mode 100644 index 0000000..808681a --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/pyramids/square_pyramid.txt @@ -0,0 +1,22 @@ +Counting circles +20% 317m 46.29978488800043s remaining +40% 178m 44.47661365800013s remaining +60% 105m 55.43266260099972s remaining +80% 49m 39.28977788600014s remaining + +Took 238m 20.101362108000103s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[10783831230, 10926646232, 11069931261, 11213708354, 11357922519, 11502616734, 11647752649, 11793351818, 11939409815, 12085921443, 12232850936, 12380281545, 12528095514, 12676338417, 12825027451, 12974149661, 13123708620, 13273658533, 13424041604, 13574888787, 13726185849, 13877909882, 14030014855, 14182515287, 14335450306, 14488814081, 14642580218, 14796702843, 14951242672, 15106201586, 15261595990, 15417373554, 15573505481, 15730056971, 15887016449, 16044351240, 16202042005, 16360153975, 16518665622, 16677547317, 16836818772, 16996447752, 17156507183, 17316931798, 17477695179, 17638839290, 17800388977, 17962271404, 18124512417, 18287125910, 18450085752, 18613459389, 18777157232, 18941221630, 19105618841, 19270404249, 19435555580, 19601048232, 19766881599, 19933102882, 20099638031, 20266551569, 20433821131, 20601421401, 20769311394, 20937543204, 21106136951, 21275061262, 21444299464, 21613856024, 21783788407, 21954038588, 22124587439, 22295506823, 22466690091, 22638264308, 22810202386, 22982449674, 23154995292, 23327868050, 23501061179, 23674554810, 23848438158, 24022602223, 24197064677, 24371882644, 24547006866, 24722473495, 24898257361, 25074329311, 25250741336, 25427434384, 25604435160, 25781747802, 25959352027, 26137246925, 26315466533, 26494009845, 26672861028, 26851991539] + +Built regression model! +Model info: + r^2: 0.9999999996410494 + p-value: 0 + intercept: -2.733039425905808 + slope: 1.3353214942384743 +Fractal dimension: 1.3353214942384743 diff --git a/fractal_dimension/circle_counting_new/output5e8/rhombic/rhombic_dodecahedron.txt b/fractal_dimension/circle_counting_new/output5e8/rhombic/rhombic_dodecahedron.txt new file mode 100644 index 0000000..714bad2 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/rhombic/rhombic_dodecahedron.txt @@ -0,0 +1,31 @@ +Counting circles +7% 1100m 33.029506027000025s remaining +14% 1015m 48.58092713399674s remaining +21% 930m 59.21631395500299s remaining +29% 846m 9.988116842003365s remaining +36% 957m 45.63530443199852s remaining +43% 967m 40.91820546999952s remaining +50% 919m 14.96397290800087s remaining +57% 834m 42.56641936200322s remaining +64% 665m 18.572024569999485s remaining +71% 512m 52.39533636299893s remaining +79% 372m 46.30896761999975s remaining +86% 260m 2.7632213289998617s remaining +93% 126m 33.47175811800025s remaining + +Took 1838m 45.73048410199408s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[29288903680, 29721877812, 30156918030, 30594043976, 31033238304, 31474505688, 31917786299, 32363149423, 32810473765, 33259830446, 33711221058, 34164599936, 34619943516, 35077280537, 35536501421, 35997762901, 36460886209, 36926032887, 37393087098, 37862121025, 38333037141, 38805827642, 39280549137, 39757116908, 40235572152, 40715953321, 41198199518, 41682349582, 42168349489, 42656162042, 43145833317, 43637320030, 44130618827, 44625719046, 45122648821, 45621368852, 46121917515, 46624291073, 47128374431, 47634297352, 48141941985, 48651403447, 49162694369, 49675617275, 50190263181, 50706711009, 51224840881, 51744730956, 52266392546, 52789713148, 53314714427, 53841515281, 54369951229, 54900121952, 55431957300, 55965482528, 56500619679, 57037521209, 57576038092, 58116267062, 58658091329, 59201544859, 59746652453, 60293424731, 60841816245, 61391841853, 61943445454, 62496726222, 63051648208, 63608145215, 64166221322, 64725931437, 65287239687, 65850133646, 66414607944, 66980683596, 67548367537, 68117591665, 68688418967, 69260802388, 69834703618, 70410110799, 70987168708, 71565682642, 72145739075, 72727389960, 73310627977, 73895352621, 74481550162, 75069299620, 75658526754, 76249288860, 76841591757, 77435368862, 78030637976, 78627362950, 79225629849, 79825363890, 80426625926, 81029271726] + +Built regression model! +Model info: + r^2: 0.9999999999862341 + p-value: 0 + intercept: -4.716187861301414 + slope: 1.4894701481251202 +Fractal dimension: 1.4894701481251202 diff --git a/fractal_dimension/circle_counting_new/output5e8/rhombic/rhombic_triacontahedron.txt b/fractal_dimension/circle_counting_new/output5e8/rhombic/rhombic_triacontahedron.txt new file mode 100644 index 0000000..594019a --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/rhombic/rhombic_triacontahedron.txt @@ -0,0 +1,49 @@ +Counting circles +3% 4675m 35.51798460201826s remaining +6% 4567m 57.63179359497735s remaining +9% 4407m 27.769061019003857s remaining +13% 4223m 34.3512854379951s remaining +16% 4109m 30.996230755001307s remaining +19% 3982m 26.149747755000135s remaining +22% 3808m 16.94593927799724s remaining +25% 3641m 16.008372827986022s remaining +28% 3494m 55.83031947200652s remaining +31% 3342m 0.9063802199962083s remaining +34% 3193m 49.105794147995766s remaining +38% 3040m 28.375446507998277s remaining +41% 2728m 21.83040579900262s remaining +44% 2452m 37.10356568399584s remaining +47% 2210m 7.426447881007334s remaining +50% 1990m 54.93322119700315s remaining +53% 1795m 34.230100471002515s remaining +56% 1616m 32.80080715799704s remaining +59% 1449m 20.104848457005573s remaining +63% 1294m 28.544162513993797s remaining +66% 1152m 20.605067907003104s remaining +69% 1019m 20.736054697001236s remaining +72% 893m 32.52896120499645s remaining +75% 774m 46.92747075400257s remaining +78% 662m 59.50833103199693s remaining +81% 556m 13.108090153997182s remaining +84% 454m 24.25400911000179s remaining +88% 356m 36.36536821000118s remaining +91% 262m 27.76952887399966s remaining +94% 171m 48.0406484819996s remaining +97% 84m 26.953681584999686s remaining + +Took 2657m 47.28000347100897s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[16470270929, 16715489091, 16961899860, 17209486471, 17458310680, 17708289078, 17959437922, 18211808628, 18465352369, 18720027036, 18975899249, 19232901820, 19491062778, 19750364986, 20010815137, 20272370755, 20535074728, 20798920071, 21063851194, 21329897948, 21597062814, 21865346397, 22134713346, 22405192611, 22676804037, 22949453391, 23223206296, 23498047338, 23773914100, 24050854114, 24328890071, 24608001420, 24888143715, 25169368769, 25451617221, 25734960380, 26019303710, 26304662831, 26591096588, 26878549691, 27167046609, 27456559966, 27747079918, 28038633616, 28331197335, 28624772600, 28919366187, 29214947630, 29511532879, 29809103637, 30107695006, 30407270533, 30707815020, 31009376547, 31311892903, 31615402102, 31919902122, 32225367665, 32531792939, 32839152038, 33147493611, 33456801162, 33767074492, 34078280903, 34390450231, 34703582411, 35017622451, 35332624750, 35648571281, 35965404466, 36283189333, 36601927513, 36921597947, 37242171843, 37563691761, 37886115132, 38209484787, 38533755093, 38858966025, 39185048920, 39512029939, 39839915950, 40168723889, 40498422094, 40829019747, 41160528317, 41492907917, 41826191899, 42160361280, 42495429309, 42831369856, 43168166760, 43505867224, 43844433665, 44183890526, 44524191601, 44865379783, 45207396329, 45550305913, 45894111714] + +Built regression model! +Model info: + r^2: 0.9999999999554099 + p-value: 0 + intercept: -5.4950223518906185 + slope: 1.4999721855110735 +Fractal dimension: 1.4999721855110735 diff --git a/fractal_dimension/circle_counting_new/output6e8/antiprisms/decagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output6e8/antiprisms/decagonal_antiprism.txt new file mode 100644 index 0000000..8f8ded0 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/antiprisms/decagonal_antiprism.txt @@ -0,0 +1,37 @@ +Counting circles +5% 5634m 2.9621850739931688s remaining +10% 5208m 5.778018296987284s remaining +15% 4711m 47.002175770991016s remaining +20% 4225m 18.112715447990922s remaining +25% 3789m 7.948314503999427s remaining +30% 3423m 55.10179127601441s remaining +35% 3133m 40.35834296300891s remaining +40% 2903m 19.932764595985645s remaining +45% 2700m 58.76946255200892s remaining +50% 2505m 24.091235758998664s remaining +55% 2288m 29.249774442985654s remaining +60% 2043m 9.096039791998919s remaining +65% 1778m 40.00124754400167s remaining +70% 1507m 56.351235385998734s remaining +75% 1243m 59.63552231900394s remaining +80% 989m 43.16109967599914s remaining +85% 742m 37.53893504900043s remaining +90% 498m 45.67389445400113s remaining +95% 252m 31.0371787339991s remaining + +Took 5120m 31.686535610002466s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[47818100852, 48499178035, 49183131402, 49870043939, 50559768465, 51252426217, 51947859755, 52646148486, 53347294041, 54051206265, 54757912573, 55467403090, 56179633783, 56894673469, 57612413974, 58332877446, 59056077515, 59781923152, 60510508467, 61241762748, 61975664590, 62712166992, 63451328497, 64193151144, 64937512874, 65684468192, 66434076402, 67186216212, 67940904783, 68698142436, 69457927400, 70220225147, 70985023974, 71752396863, 72522259916, 73294612977, 74069398740, 74846672772, 75626398764, 76408559734, 77193153064, 77980222872, 78769655467, 79561538366, 80355825058, 81152533603, 81951565556, 82752955178, 83556759820, 84362927885, 85171401681, 85982158518, 86795263809, 87610732944, 88428512483, 89248537889, 90070930465, 90895534605, 91722440497, 92551609953, 93383059645, 94216803718, 95052765577, 95890953270, 96731353483, 97573996613, 98418835957, 99265862392, 100115009448, 100966395911, 101819974548, 102675770261, 103533762468, 104393862856, 105256060455, 106120448972, 106987020322, 107855756109, 108726572868, 109599517422, 110474603600, 111351758306, 112231081517, 113112445980, 113995939784, 114881458566, 115769046819, 116658719779, 117550456577, 118444260475, 119340093012, 120237923049, 121137842990, 122039847613, 122943842470, 123849826184, 124757825671, 125667829459, 126579837052, 127493861157] + +Built regression model! +Model info: + r^2: 0.9999999999897365 + p-value: 0 + intercept: -3.4416465644778427 + slope: 1.4354021654111535 +Fractal dimension: 1.4354021654111535 diff --git a/fractal_dimension/circle_counting_new/output6e8/antiprisms/heptagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output6e8/antiprisms/heptagonal_antiprism.txt new file mode 100644 index 0000000..7fb2810 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/antiprisms/heptagonal_antiprism.txt @@ -0,0 +1,31 @@ +Counting circles +7% 3119m 1.466144334001001s remaining +14% 2837m 38.29945855800179s remaining +21% 2561m 25.57736921700416s remaining +29% 2299m 32.41108566999901s remaining +36% 2058m 53.45916287500586s remaining +43% 1833m 13.36598875799973s remaining +50% 1612m 51.174721848001354s remaining +57% 1387m 29.968717801006278s remaining +64% 1155m 20.411453407999943s remaining +71% 920m 56.020248253997124s remaining +79% 688m 24.95977539299929s remaining +86% 458m 34.163941483999224s remaining +93% 229m 51.651457079000465s remaining + +Took 3234m 46.46679743099958s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[39876438931, 40438716356, 41003361437, 41570262992, 42139489647, 42711030057, 43284844708, 43860894131, 44439144023, 45019648899, 45602465830, 46187453391, 46774616172, 47363993675, 47955538604, 48549269060, 49145094032, 49743171303, 50343336463, 50945608763, 51550093957, 52156580825, 52765205738, 53375953224, 53988699972, 54603609324, 55220538145, 55839471031, 56460488832, 57083527630, 57708573036, 58335631128, 58964703515, 59595715486, 60228797763, 60863876507, 61500941902, 62139928163, 62780854915, 63423728778, 64068527058, 64715312966, 65363950144, 66014492463, 66666961734, 67321359305, 67977562187, 68635716842, 69295768973, 69957687977, 70621422723, 71287028911, 71954452151, 72623773994, 73294922065, 73967847925, 74642611920, 75319220451, 75997594402, 76677798679, 77359757505, 78043548160, 78729153945, 79416455370, 80105573759, 80796472898, 81489057275, 82183417825, 82879557535, 83577364046, 84276907492, 84978132686, 85681155345, 86385834692, 87092281874, 87800410243, 88510209725, 89221751302, 89934987595, 90649855936, 91366431137, 92084618286, 92804472196, 93526023751, 94249285157, 94974139252, 95700616381, 96428768291, 97158530980, 97889885561, 98622902377, 99357559730, 100093828118, 100831719428, 101571194259, 102312236264, 103054864306, 103799129972, 104544967467, 105292375398] + +Built regression model! +Model info: + r^2: 0.9999999999924475 + p-value: 0 + intercept: -3.345792191614585 + slope: 1.4211940628368767 +Fractal dimension: 1.4211940628368767 diff --git a/fractal_dimension/circle_counting_new/output6e8/antiprisms/hexagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output6e8/antiprisms/hexagonal_antiprism.txt new file mode 100644 index 0000000..50dfbde --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/antiprisms/hexagonal_antiprism.txt @@ -0,0 +1,29 @@ +Counting circles +8% 2252m 47.284671100002015s remaining +17% 2038m 2.6813045349990716s remaining +25% 1824m 16.67277064100199s remaining +33% 1616m 48.6016497380042s remaining +42% 1414m 27.379088924004463s remaining +50% 1214m 45.96442346200638s remaining +58% 1013m 24.28873235899664s remaining +67% 810m 7.427580768999178s remaining +75% 606m 50.162950224999804s remaining +83% 404m 17.073418897998636s remaining +92% 202m 16.857046570999955s remaining + +Took 2430m 1.407960454991553s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[35810810495, 36312670547, 36816565515, 37322555646, 37830491938, 38340429294, 38852415467, 39366352645, 39882252474, 40400125278, 40919944243, 41441692275, 41965355122, 42490952909, 43018413123, 43547781238, 44079104690, 44612255944, 45147262204, 45684149165, 46222891831, 46763439915, 47305848238, 47850082208, 48396103087, 48943924988, 49493602795, 50045015847, 50598261443, 51153270061, 51710048318, 52268512844, 52828722723, 53390674294, 53954417914, 54519867818, 55087014402, 55655847792, 56226476831, 56798771154, 57372772114, 57948425052, 58525760054, 59104724212, 59685351895, 60267685736, 60851655073, 61437264454, 62024526396, 62613421162, 63203920375, 63796091128, 64389833431, 64985180378, 65582134819, 66180642761, 66780719051, 67382402292, 67985641455, 68590441106, 69196808244, 69804733509, 70414218808, 71025269493, 71637824298, 72251904804, 72867572230, 73484653649, 74103323526, 74723515949, 75345155713, 75968351193, 76593063062, 77219246905, 77846884717, 78476064780, 79106677636, 79738767585, 80372356492, 81007392314, 81643871007, 82281807987, 82921199072, 83561974056, 84204216936, 84847924869, 85493034094, 86139586008, 86787566488, 87436972750, 88087700585, 88739930725, 89393577846, 90048585959, 90705004140, 91362841143, 92022043709, 92682629039, 93344581752, 94007905152] + +Built regression model! +Model info: + r^2: 0.9999999999867792 + p-value: 0 + intercept: -3.2868608077755113 + slope: 1.4126699173717023 +Fractal dimension: 1.4126699173717023 diff --git a/fractal_dimension/circle_counting_new/output6e8/antiprisms/nonagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output6e8/antiprisms/nonagonal_antiprism.txt new file mode 100644 index 0000000..5d7c566 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/antiprisms/nonagonal_antiprism.txt @@ -0,0 +1,35 @@ +Counting circles +6% 315m 9.953759005999018s remaining +11% 296m 37.17153393600165s remaining +17% 285m 30.927853804001643s remaining +22% 278m 18.428003609998996s remaining +28% 270m 38.05802709999989s remaining +33% 259m 2.9562560779995692s remaining +39% 242m 9.72334512999987s remaining +44% 220m 39.99278427799982s remaining +50% 196m 35.72194772900002s remaining +56% 163m 56.69446288600011s remaining +61% 135m 56.3342192150003s remaining +67% 111m 35.38163167200037s remaining +72% 89m 53.3734585330003s remaining +78% 69m 57.3158324799997s remaining +83% 51m 11.774478787000135s remaining +89% 33m 18.911922815000025s remaining +94% 16m 14.46745579900005s remaining + +Took 284m 49.51757785399968s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[3028047645, 3071059334, 3114253775, 3157639308, 3201215349, 3245000631, 3288917867, 3333002653, 3377285353, 3421723557, 3466354571, 3511157993, 3556127401, 3601255104, 3646556483, 3692036484, 3737651356, 3783471472, 3829436789, 3875579186, 3921918662, 3968396038, 4015025591, 4061854788, 4108842647, 4155974851, 4203280103, 4250735202, 4298361174, 4346118744, 4394080984, 4442174078, 4490424330, 4538855297, 4587417517, 4636152707, 4685039432, 4734092299, 4783266636, 4832618471, 4882144280, 4931819856, 4981625088, 5031580705, 5081667855, 5131907990, 5182304406, 5232840124, 5283582898, 5334420229, 5385404784, 5436563238, 5487851716, 5539273364, 5590837069, 5642561791, 5694395455, 5746384929, 5798534536, 5850843662, 5903287334, 5955845523, 6008572190, 6061394255, 6114381238, 6167517258, 6220789702, 6274207492, 6327735128, 6381425707, 6435252920, 6489176594, 6543261892, 6597501142, 6651841570, 6706298809, 6760927957, 6815685113, 6870557201, 6925576325, 6980720855, 7036012620, 7091406943, 7146962608, 7202631076, 7258431405, 7314398499, 7370461259, 7426661077, 7482971758, 7539402247, 7595976164, 7652681661, 7709466391, 7766425643, 7823526548, 7880738136, 7938081648, 7995542124, 8053112517] + +Built regression model! +Model info: + r^2: 0.999999998763813 + p-value: 0 + intercept: -6.1292267588121945 + slope: 1.4317200456789512 +Fractal dimension: 1.4317200456789512 diff --git a/fractal_dimension/circle_counting_new/output6e8/antiprisms/octagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output6e8/antiprisms/octagonal_antiprism.txt new file mode 100644 index 0000000..6070296 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/antiprisms/octagonal_antiprism.txt @@ -0,0 +1,33 @@ +Counting circles +6% 3865m 59.52020502000232s remaining +13% 3550m 41.69010035099927s remaining +19% 3212m 58.79380897700321s remaining +25% 2893m 8.879459672985831s remaining +31% 2609m 13.065792906010756s remaining +38% 2360m 26.40560886100866s remaining +44% 2122m 7.584248614002718s remaining +50% 1893m 27.177608671001508s remaining +56% 1660m 12.627150246000383s remaining +63% 1418m 8.783837295995909s remaining +69% 1172m 33.88066086500476s remaining +75% 929m 42.73663590799697s remaining +81% 692m 50.91618124800152s remaining +88% 461m 4.8535703439993085s remaining +94% 231m 3.4859208649995708s remaining + +Took 3710m 50.271041214989964s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[43085601636, 43695712273, 44308424199, 44923687264, 45541464961, 46161773055, 46784594596, 47409848653, 48037592714, 48667870046, 49300572577, 49935738404, 50573323400, 51213347369, 51855714676, 52500457573, 53147602607, 53797149142, 54449051052, 55103275141, 55759849784, 56418784598, 57079993026, 57743485152, 58409268038, 59077388578, 59747727330, 60420272280, 61095127814, 61772226531, 62451562543, 63133101032, 63816846633, 64502743631, 65190884930, 65881197294, 66573711892, 67268449586, 67965291512, 68664225442, 69365317899, 70068579390, 70773940171, 71481433828, 72190936556, 72902595815, 73616380866, 74332212382, 75050113836, 75770096033, 76492079745, 77216129484, 77942189089, 78670321690, 79400449702, 80132594156, 80866722882, 81602880583, 82341048156, 83081243679, 83823338401, 84567466326, 85313518858, 86061575886, 86811520792, 87563437493, 88317322211, 89073076435, 89830788426, 90590444737, 91352012776, 92115431025, 92880776427, 93647956761, 94417091101, 95188071923, 95960949518, 96735680040, 97512315524, 98290739353, 99071057183, 99853206777, 100637122627, 101422934884, 102210559157, 102999974654, 103791276113, 104584331260, 105379101882, 106175764679, 106974262262, 107774562230, 108576663140, 109380484675, 110186087471, 110993430103, 111802529658, 112613421456, 113426102262, 114240536689] + +Built regression model! +Model info: + r^2: 0.9999999999711277 + p-value: 0 + intercept: -3.387513583253323 + slope: 1.4272936849219047 +Fractal dimension: 1.4272936849219047 diff --git a/fractal_dimension/circle_counting_new/output6e8/antiprisms/pentagonal_antiprism.txt b/fractal_dimension/circle_counting_new/output6e8/antiprisms/pentagonal_antiprism.txt new file mode 100644 index 0000000..99ba6a3 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/antiprisms/pentagonal_antiprism.txt @@ -0,0 +1,27 @@ +Counting circles +10% 1620m 48.0142152269982s remaining +20% 1439m 41.841871219992754s remaining +30% 1258m 21.649017439995077s remaining +40% 1078m 37.22883652499877s remaining +50% 899m 0.4975720270012971s remaining +60% 719m 16.690115293997223s remaining +70% 539m 20.00503794299948s remaining +80% 359m 28.433574589998898s remaining +90% 179m 45.328646398000274s remaining + +Took 1797m 58.19716429100663s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[30511189063, 30934868460, 31360273663, 31787322562, 32215981856, 32646275515, 33078244012, 33511783092, 33946949157, 34383682995, 34822017716, 35261960392, 35703510960, 36146580457, 36591209022, 37037378642, 37485069812, 37934312235, 38385103895, 38837399939, 39291214661, 39746529243, 40203362475, 40661641854, 41121422097, 41582671114, 42045347987, 42509485384, 42975081066, 43442144671, 43910628752, 44380534911, 44851857711, 45324579481, 45798759480, 46274357187, 46751379944, 47229757766, 47709539230, 48190664040, 48673191102, 49157097644, 49642342353, 50128980331, 50616996802, 51106304014, 51596930968, 52088915653, 52582225124, 53076886092, 53572826173, 54070140063, 54568746593, 55068669157, 55569851576, 56072351565, 56576132087, 57081179129, 57587510937, 58095152911, 58604060986, 59114216079, 59625600348, 60138286018, 60652205384, 61167369881, 61683791328, 62201461043, 62720370054, 63240498012, 63761844239, 64284419270, 64808230177, 65333264526, 65859445406, 66386841040, 66915466477, 67445319369, 67976281819, 68508471273, 69041841676, 69576407202, 70112164911, 70649087345, 71187166112, 71726391371, 72266767032, 72808305192, 73351002778, 73894886884, 74439896165, 74986059868, 75533342837, 76081754220, 76631270610, 77181961258, 77733700490, 78286609679, 78840615320, 79395803228] + +Built regression model! +Model info: + r^2: 0.9999999999668207 + p-value: 0 + intercept: -3.1959334156113997 + slope: 1.3998132969928283 +Fractal dimension: 1.3998132969928283 diff --git a/fractal_dimension/circle_counting_new/output6e8/antiprisms/square_antiprism.txt b/fractal_dimension/circle_counting_new/output6e8/antiprisms/square_antiprism.txt new file mode 100644 index 0000000..dae714c --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/antiprisms/square_antiprism.txt @@ -0,0 +1,25 @@ +Counting circles +13% 980m 39.5659025299974s remaining +25% 840m 41.97010750199843s remaining +38% 700m 59.56344547500339s remaining +50% 560m 41.71278804200119s remaining +63% 420m 28.222135783998965s remaining +75% 280m 17.99271884799964s remaining +88% 140m 12.863818522000656s remaining + +Took 1122m 1.535375353996642s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[23390968815, 23710804275, 24031772977, 24353949115, 24677309054, 25001848525, 25327545554, 25654400569, 25982367599, 26311452800, 26641710954, 26973130196, 27305665284, 27639279178, 27974036701, 28309866722, 28646814995, 28984876824, 29324021839, 29664234498, 30005507504, 30347862257, 30691284856, 31035771769, 31381287819, 31727845125, 32075438417, 32424078915, 32773775194, 33124469945, 33476189269, 33828895064, 34182657806, 34537411747, 34893136927, 35249886394, 35607638383, 35966396612, 36326086943, 36686804462, 37048449075, 37411138298, 37774737222, 38139305094, 38504798140, 38871281960, 39238744094, 39607176471, 39976530348, 40346833889, 40718046091, 41090182685, 41463270695, 41837256843, 42212201505, 42588022361, 42964756605, 43342395119, 43720928111, 44100355243, 44480658787, 44861883388, 45243978582, 45626965226, 46010854780, 46395639055, 46781298335, 47167840625, 47555257177, 47943560125, 48332669672, 48722640208, 49113505017, 49505204408, 49897780806, 50291207845, 50685499699, 51080594898, 51476550380, 51873294938, 52270906980, 52669349346, 53068651111, 53468783250, 53869708333, 54271485693, 54674070053, 55077461708, 55481634582, 55886656586, 56292490168, 56699095234, 57106498359, 57514716609, 57923740419, 58333546889, 58744175977, 59155592990, 59567778235, 59980755149] + +Built regression model! +Model info: + r^2: 0.9999999997470483 + p-value: 0 + intercept: -3.0421493590607867 + slope: 1.378331544899613 +Fractal dimension: 1.378331544899613 diff --git a/fractal_dimension/circle_counting_new/output6e8/rhombic/rhombic_triacontahedron.txt b/fractal_dimension/circle_counting_new/output6e8/rhombic/rhombic_triacontahedron.txt new file mode 100644 index 0000000..50a776c --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/rhombic/rhombic_triacontahedron.txt @@ -0,0 +1,14 @@ +Counting circles +3% 6423m 36.91206568200141s remaining +6% 6142m 10.67179557000054s remaining +9% 5885m 52.81125168997096s remaining +13% 5669m 3.326016612991225s remaining +16% 5497m 15.949285793001764s remaining +19% 5320m 17.6256112389965s remaining +22% 5080m 40.39275280298898s remaining +25% 4851m 27.96742737002205s remaining +28% 4651m 3.381891301018186s remaining +31% 4445m 11.42743897298351s remaining +34% 4245m 3.1738559450022876s remaining +38% 4038m 19.21566832100507s remaining +41% 3623m 5.9181655700085685s remaining