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finished with everything up to 2e8

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This commit is contained in:
William Ball 2022-04-28 19:46:50 -04:00
parent 4c25d037c4
commit b0b1ea607c
294 changed files with 8730 additions and 249 deletions
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2
fractal_dimension/circle_counting_new/driver.sh
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@ -1,7 +1,7 @@
#!/bin/bash #!/bin/bash
cmd="./target/release/circle_counting dimension" 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) for dir in $(find data -type d)
do do

39
fractal_dimension/circle_counting_new/output1e3/antiprisms/decagonal_antiprism.txt
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@ -1,2 +1,37 @@
0.004944699s Counting circles
1.4099943488953748 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

33
fractal_dimension/circle_counting_new/output1e3/antiprisms/heptagonal_antiprism.txt
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@ -1,2 +1,31 @@
0.001883751s Counting circles
1.4268047052242334 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

31
fractal_dimension/circle_counting_new/output1e3/antiprisms/hexagonal_antiprism.txt
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@ -1,2 +1,29 @@
0.001573574s Counting circles
1.3724457273578357 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

37
fractal_dimension/circle_counting_new/output1e3/antiprisms/nonagonal_antiprism.txt
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@ -1,2 +1,35 @@
0.000954556s Counting circles
1.262786109439771 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

35
fractal_dimension/circle_counting_new/output1e3/antiprisms/octagonal_antiprism.txt
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@ -1,2 +1,33 @@
0.003191184s Counting circles
1.403871984129419 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

29
fractal_dimension/circle_counting_new/output1e3/antiprisms/pentagonal_antiprism.txt
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@ -1,2 +1,27 @@
0.001356264s Counting circles
1.408978366696069 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

27
fractal_dimension/circle_counting_new/output1e3/antiprisms/square_antiprism.txt
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@ -1,2 +1,25 @@
0.000901686s Counting circles
1.421583471132899 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

2
fractal_dimension/circle_counting_new/output1e3/misc/6v6f1.txt
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@ -1,2 +0,0 @@
2.007828303s
1.3428512197910445

25
fractal_dimension/circle_counting_new/output1e3/misc/6v7f1.txt
View file

@ -1,2 +1,23 @@
0.002079237s Counting circles
1.3478255818626024 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

25
fractal_dimension/circle_counting_new/output1e3/misc/6v7f2.txt
View file

@ -1,2 +1,23 @@
0.001043758s Counting circles
1.400899927782822 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

31
fractal_dimension/circle_counting_new/output1e3/misc/cuboctohedron.txt
View file

@ -1,2 +1,29 @@
0.001423121s Counting circles
1.515036808841364 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

79
fractal_dimension/circle_counting_new/output1e3/misc/truncated_icosahedron.txt
View file

@ -1,2 +1,77 @@
0.043977108s Counting circles
1.7980639024941685 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

27
fractal_dimension/circle_counting_new/output1e3/platonic_solids/cube.txt
View file

@ -1,2 +1,25 @@
0.000484293s Counting circles
1.4940321330565125 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

39
fractal_dimension/circle_counting_new/output1e3/platonic_solids/dodecahedron.txt
View file

@ -1,2 +1,37 @@
0.000807895s Counting circles
1.425255998684727 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

31
fractal_dimension/circle_counting_new/output1e3/platonic_solids/icosahedron.txt
View file

@ -1,2 +1,29 @@
0.001670125s Counting circles
1.40476889472137 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

25
fractal_dimension/circle_counting_new/output1e3/platonic_solids/octahedron.txt
View file

@ -1,2 +1,23 @@
0.00133135s Counting circles
1.3365090074245987 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

39
fractal_dimension/circle_counting_new/output1e3/prisms/decagonal_prism.txt
View file

@ -1,2 +1,37 @@
0.001845303s Counting circles
1.566702859169144 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

33
fractal_dimension/circle_counting_new/output1e3/prisms/heptagonal_prism.txt
View file

@ -1,2 +1,31 @@
0.000935321s Counting circles
1.4595189162350715 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

31
fractal_dimension/circle_counting_new/output1e3/prisms/hexagonal_prism.txt
View file

@ -1,2 +1,29 @@
0.000717383s Counting circles
1.4244274366080378 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

37
fractal_dimension/circle_counting_new/output1e3/prisms/nonagonal_prism.txt
View file

@ -1,2 +1,35 @@
0.001489249s Counting circles
1.548184577576514 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

35
fractal_dimension/circle_counting_new/output1e3/prisms/octagonal_prism.txt
View file

@ -1,2 +1,33 @@
0.001158167s Counting circles
1.5222884222850448 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

29
fractal_dimension/circle_counting_new/output1e3/prisms/pentagonal_prism.txt
View file

@ -1,2 +1,27 @@
0.000575495s Counting circles
1.4936894441042006 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

25
fractal_dimension/circle_counting_new/output1e3/prisms/triangular_prism.txt
View file

@ -1,2 +1,23 @@
0.000431818s Counting circles
1.3890881876913497 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

30
fractal_dimension/circle_counting_new/output1e3/pyramids/decagonal_pyramid.txt
View file

@ -1,2 +1,28 @@
0.000574504s Counting circles
1.2475810337647877 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

27
fractal_dimension/circle_counting_new/output1e3/pyramids/heptagonal_pyramid.txt
View file

@ -1,2 +1,25 @@
0.000479091s Counting circles
1.3894991310187024 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

26
fractal_dimension/circle_counting_new/output1e3/pyramids/hexagonal_pyramid.txt
View file

@ -1,2 +1,24 @@
0.0004687s Counting circles
1.3988725605928642 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

29
fractal_dimension/circle_counting_new/output1e3/pyramids/nonagonal_pyramid.txt
View file

@ -1,2 +1,27 @@
0.00054286s Counting circles
1.2742409743230465 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

28
fractal_dimension/circle_counting_new/output1e3/pyramids/octagonal_pyramid.txt
View file

@ -1,2 +1,26 @@
0.000495205s Counting circles
1.3318738611100582 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

25
fractal_dimension/circle_counting_new/output1e3/pyramids/pentagonal_pyramid.txt
View file

@ -1,2 +1,23 @@
0.000425743s Counting circles
1.29637896536962 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

24
fractal_dimension/circle_counting_new/output1e3/pyramids/square_pyramid.txt
View file

@ -1,2 +1,22 @@
0.000492353s Counting circles
1.3367540534444284 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

33
fractal_dimension/circle_counting_new/output1e3/rhombic/rhombic_dodecahedron.txt
View file

@ -1,2 +1,31 @@
0.000569638s Counting circles
1.3778335922856897 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

51
fractal_dimension/circle_counting_new/output1e3/rhombic/rhombic_triacontahedron.txt
View file

@ -1,2 +1,49 @@
0.002749507s Counting circles
1.7120352969361596 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

39
fractal_dimension/circle_counting_new/output1e6/antiprisms/decagonal_antiprism.txt
View file

@ -1,2 +1,37 @@
27.253714308s Counting circles
1.4358267165010965 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

33
fractal_dimension/circle_counting_new/output1e6/antiprisms/heptagonal_antiprism.txt
View file

@ -1,2 +1,31 @@
20.409445857s Counting circles
1.420780597243824 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

31
fractal_dimension/circle_counting_new/output1e6/antiprisms/hexagonal_antiprism.txt
View file

@ -1,2 +1,29 @@
14.507162709s Counting circles
1.4129434012712605 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

37
fractal_dimension/circle_counting_new/output1e6/antiprisms/nonagonal_antiprism.txt
View file

@ -1,2 +1,35 @@
1.8193831120000001s Counting circles
1.431164228676963 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

35
fractal_dimension/circle_counting_new/output1e6/antiprisms/octagonal_antiprism.txt
View file

@ -1,2 +1,33 @@
24.632347347s Counting circles
1.4275560884625609 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

29
fractal_dimension/circle_counting_new/output1e6/antiprisms/pentagonal_antiprism.txt
View file

@ -1,2 +1,27 @@
11.35883838s Counting circles
1.399652710272311 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

27
fractal_dimension/circle_counting_new/output1e6/antiprisms/square_antiprism.txt
View file

@ -1,2 +1,25 @@
9.678373876s Counting circles
1.3784925455620327 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

25
fractal_dimension/circle_counting_new/output1e6/misc/6v7f1.txt
View file

@ -1,2 +1,23 @@
4.7057637329999995s Counting circles
1.324821631572518 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

25
fractal_dimension/circle_counting_new/output1e6/misc/6v7f2.txt
View file

@ -1,2 +1,23 @@
3.089434976s Counting circles
1.338185383960637 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

31
fractal_dimension/circle_counting_new/output1e6/misc/cuboctohedron.txt
View file

@ -1,2 +1,29 @@
26.433601789s Counting circles
1.4533641114322406 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

79
fractal_dimension/circle_counting_new/output1e6/misc/truncated_icosahedron.txt
View file

@ -1,2 +1,77 @@
1m 24.324137347000004s Counting circles
1.656757456704511 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

27
fractal_dimension/circle_counting_new/output1e6/platonic_solids/cube.txt
View file

@ -1,2 +1,25 @@
7.442477221s Counting circles
1.4801061783525686 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

39
fractal_dimension/circle_counting_new/output1e6/platonic_solids/dodecahedron.txt
View file

@ -1,2 +1,37 @@
20.209938823s Counting circles
1.5963637160162403 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

31
fractal_dimension/circle_counting_new/output1e6/platonic_solids/icosahedron.txt
View file

@ -1,2 +1,29 @@
13.875675954s Counting circles
1.3735060097388425 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

25
fractal_dimension/circle_counting_new/output1e6/platonic_solids/octahedron.txt
View file

@ -1,2 +1,23 @@
4.868870305s Counting circles
1.3354128221469261 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

39
fractal_dimension/circle_counting_new/output1e6/prisms/decagonal_prism.txt
View file

@ -1,2 +1,37 @@
19.631812302s Counting circles
1.5613888471962742 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

33
fractal_dimension/circle_counting_new/output1e6/prisms/heptagonal_prism.txt
View file

@ -1,2 +1,31 @@
13.925568509s Counting circles
1.542991254200265 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

31
fractal_dimension/circle_counting_new/output1e6/prisms/hexagonal_prism.txt
View file

@ -1,2 +1,29 @@
12.055430092s Counting circles
1.531379367948449 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

37
fractal_dimension/circle_counting_new/output1e6/prisms/nonagonal_prism.txt
View file

@ -1,2 +1,35 @@
17.839680149s Counting circles
1.556815713691277 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

35
fractal_dimension/circle_counting_new/output1e6/prisms/octagonal_prism.txt
View file

@ -1,2 +1,33 @@
15.944345263s Counting circles
1.550786946936712 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

29
fractal_dimension/circle_counting_new/output1e6/prisms/pentagonal_prism.txt
View file

@ -1,2 +1,27 @@
9.853281869s Counting circles
1.5130204399195448 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

25
fractal_dimension/circle_counting_new/output1e6/prisms/triangular_prism.txt
View file

@ -1,2 +1,23 @@
4.231752269s Counting circles
1.406664690865384 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

30
fractal_dimension/circle_counting_new/output1e6/pyramids/decagonal_pyramid.txt
View file

@ -1,2 +1,28 @@
2.735656926s Counting circles
1.3275815916452245 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

27
fractal_dimension/circle_counting_new/output1e6/pyramids/heptagonal_pyramid.txt
View file

@ -1,2 +1,25 @@
2.502503708s Counting circles
1.3356416131011466 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

26
fractal_dimension/circle_counting_new/output1e6/pyramids/hexagonal_pyramid.txt
View file

@ -1,2 +1,24 @@
2.521336541s Counting circles
1.3380091884020555 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

29
fractal_dimension/circle_counting_new/output1e6/pyramids/nonagonal_pyramid.txt
View file

@ -1,2 +1,27 @@
2.620165407s Counting circles
1.330172669138874 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

28
fractal_dimension/circle_counting_new/output1e6/pyramids/octagonal_pyramid.txt
View file

@ -1,2 +1,26 @@
2.549249752s Counting circles
1.3321426719317444 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

25
fractal_dimension/circle_counting_new/output1e6/pyramids/pentagonal_pyramid.txt
View file

@ -1,2 +1,23 @@
2.642878784s Counting circles
1.3397789158879816 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

24
fractal_dimension/circle_counting_new/output1e6/pyramids/square_pyramid.txt
View file

@ -1,2 +1,22 @@
2.974403897s Counting circles
1.3354146639650715 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

33
fractal_dimension/circle_counting_new/output1e6/rhombic/rhombic_dodecahedron.txt
View file

@ -1,2 +1,31 @@
10.448635496s Counting circles
1.4894426948921908 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

51
fractal_dimension/circle_counting_new/output1e6/rhombic/rhombic_triacontahedron.txt
View file

@ -1,2 +1,49 @@
14.063447902s Counting circles
1.5001373553753052 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

39
fractal_dimension/circle_counting_new/output1e7/antiprisms/decagonal_antiprism.txt
View file

@ -1,2 +1,37 @@
12m 14.565223798000034s Counting circles
1.435339516395261 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

33
fractal_dimension/circle_counting_new/output1e7/antiprisms/heptagonal_antiprism.txt
View file

@ -1,2 +1,31 @@
7m 43.15393590299999s Counting circles
1.4211902385712332 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

31
fractal_dimension/circle_counting_new/output1e7/antiprisms/hexagonal_antiprism.txt
View file

@ -1,2 +1,29 @@
6m 15.449075619999974s Counting circles
1.412656216642195 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

37
fractal_dimension/circle_counting_new/output1e7/antiprisms/nonagonal_antiprism.txt
View file

@ -1,2 +1,35 @@
42.730774872s Counting circles
1.4314099284870745 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

35
fractal_dimension/circle_counting_new/output1e7/antiprisms/octagonal_antiprism.txt
View file

@ -1,2 +1,33 @@
9m 16.895795063000037s Counting circles
1.4273431381761477 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

29
fractal_dimension/circle_counting_new/output1e7/antiprisms/pentagonal_antiprism.txt
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@ -1,2 +1,27 @@
4m 45.192502967999985s Counting circles
1.3997986357907661 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

27
fractal_dimension/circle_counting_new/output1e7/antiprisms/square_antiprism.txt
View file

@ -1,2 +1,25 @@
3m 16.242146829999996s Counting circles
1.3784122971151345 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

25
fractal_dimension/circle_counting_new/output1e7/misc/6v7f1.txt
View file

@ -1,2 +1,23 @@
1m 21.339525291s Counting circles
1.3241782720617725 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

25
fractal_dimension/circle_counting_new/output1e7/misc/6v7f2.txt
View file

@ -1,2 +1,23 @@
55.434810932s Counting circles
1.3382443253139122 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

31
fractal_dimension/circle_counting_new/output1e7/misc/cuboctohedron.txt
View file

@ -1,2 +1,29 @@
10m 17.98328540099999s Counting circles
1.453633058999394 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

79
fractal_dimension/circle_counting_new/output1e7/misc/truncated_icosahedron.txt
View file

@ -1,2 +1,77 @@
52m 18.226179132000198s Counting circles
1.6568625501592362 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

27
fractal_dimension/circle_counting_new/output1e7/platonic_solids/cube.txt
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@ -1,2 +1,25 @@
3m 45.121536273000004s Counting circles
1.4802761539075804 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

39
fractal_dimension/circle_counting_new/output1e7/platonic_solids/dodecahedron.txt
View file

@ -1,2 +1,37 @@
13m 18.640554900999973s Counting circles
1.5962518843635647 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

31
fractal_dimension/circle_counting_new/output1e7/platonic_solids/icosahedron.txt
View file

@ -1,2 +1,29 @@
5m 30.148913026000002s Counting circles
1.3728957205054073 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

25
fractal_dimension/circle_counting_new/output1e7/platonic_solids/octahedron.txt
View file

@ -1,2 +1,23 @@
1m 44.879046272s Counting circles
1.3352287795995696 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

39
fractal_dimension/circle_counting_new/output1e7/prisms/decagonal_prism.txt
View file

@ -1,2 +1,37 @@
12m 5.885387681999987s Counting circles
1.5609070281254505 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

33
fractal_dimension/circle_counting_new/output1e7/prisms/heptagonal_prism.txt
View file

@ -1,2 +1,31 @@
8m 15.578085236999982s Counting circles
1.5431693285810848 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

31
fractal_dimension/circle_counting_new/output1e7/prisms/hexagonal_prism.txt
View file

@ -1,2 +1,29 @@
7m 23.462689995999995s Counting circles
1.5315700991479402 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

37
fractal_dimension/circle_counting_new/output1e7/prisms/nonagonal_prism.txt
View file

@ -1,2 +1,35 @@
11m 33.669149574000016s Counting circles
1.556663393386475 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

35
fractal_dimension/circle_counting_new/output1e7/prisms/octagonal_prism.txt
View file

@ -1,2 +1,33 @@
9m 42.15850053899999s Counting circles
1.5510101718975449 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

29
fractal_dimension/circle_counting_new/output1e7/prisms/pentagonal_prism.txt
View file

@ -1,2 +1,27 @@
5m 26.855685954000023s Counting circles
1.513248485647511 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

25
fractal_dimension/circle_counting_new/output1e7/prisms/triangular_prism.txt
View file

@ -1,2 +1,23 @@
1m 48.77436999s Counting circles
1.4065769306208142 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

30
fractal_dimension/circle_counting_new/output1e7/pyramids/decagonal_pyramid.txt
View file

@ -1,2 +1,28 @@
57.611165001s Counting circles
1.3275381236464552 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

27
fractal_dimension/circle_counting_new/output1e7/pyramids/heptagonal_pyramid.txt
View file

@ -1,2 +1,25 @@
54.351280439s Counting circles
1.335371726957949 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

26
fractal_dimension/circle_counting_new/output1e7/pyramids/hexagonal_pyramid.txt
View file

@ -1,2 +1,24 @@
55.136480903s Counting circles
1.3382274863975396 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

29
fractal_dimension/circle_counting_new/output1e7/pyramids/nonagonal_pyramid.txt
View file

@ -1,2 +1,27 @@
55.678196303s Counting circles
1.329829877914715 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

28
fractal_dimension/circle_counting_new/output1e7/pyramids/octagonal_pyramid.txt
View file

@ -1,2 +1,26 @@
54.838750508s Counting circles
1.3325817683113517 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

25
fractal_dimension/circle_counting_new/output1e7/pyramids/pentagonal_pyramid.txt
View file

@ -1,2 +1,23 @@
57.80189446s Counting circles
1.339627872900268 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

24
fractal_dimension/circle_counting_new/output1e7/pyramids/square_pyramid.txt
View file

@ -1,2 +1,22 @@
1m 4.794206638999995s Counting circles
1.3352287714114646 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

33
fractal_dimension/circle_counting_new/output1e7/rhombic/rhombic_dodecahedron.txt
View file

@ -1,2 +1,31 @@
4m 24.894079936000026s Counting circles
1.4894906447120204 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

51
fractal_dimension/circle_counting_new/output1e7/rhombic/rhombic_triacontahedron.txt
View file

@ -1,2 +1,49 @@
6m 6.087826112000016s Counting circles
1.5000827607722431 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

39
fractal_dimension/circle_counting_new/output1e8/antiprisms/decagonal_antiprism.txt
View file

@ -1,2 +1,37 @@
332m 11.123985867998272s Counting circles
1.4353943913988583 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

33
fractal_dimension/circle_counting_new/output1e8/antiprisms/heptagonal_antiprism.txt
View file

@ -1,2 +1,31 @@
203m 15.402857238999786s Counting circles
1.4212136926407724 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

31
fractal_dimension/circle_counting_new/output1e8/antiprisms/hexagonal_antiprism.txt
View file

@ -1,2 +1,29 @@
160m 25.535671706000358s Counting circles
1.412636512563388 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

37
fractal_dimension/circle_counting_new/output1e8/antiprisms/nonagonal_antiprism.txt
View file

@ -1,2 +1,35 @@
19m 12.769360921000043s Counting circles
1.4317142943968555 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

33
fractal_dimension/circle_counting_new/output1e8/antiprisms/octagonal_antiprism.txt
View file

@ -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

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