Circle-Packings/fractal_dimension/circle_counting_new/output5e8/pyramids/nonagonal_pyramid.txt
2022-04-28 19:46:50 -04:00

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Counting circles
10% 842m 32.050924142997246s remaining
20% 425m 32.35976483600098s remaining
30% 278m 20.911452682001254s remaining
40% 198m 22.21723173999999s remaining
50% 145m 9.342661307000526s remaining
60% 105m 15.934250440999676s remaining
70% 73m 4.191600928000298s remaining
80% 45m 44.550385474999985s remaining
90% 21m 44.19690938300005s remaining
Took 208m 14.188596310999856s to count circles
Done counting circles!
sample points:
[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0]
number of circles fewer than each of those sample points:
[4478726911, 4537792086, 4597049448, 4656488929, 4716134736, 4775954400, 4835960386, 4896162813, 4956543868, 5017094798, 5077842970, 5138769525, 5199881572, 5261164184, 5322628090, 5384266119, 5446073867, 5508075498, 5570228457, 5632567888, 5695084833, 5757758101, 5820609397, 5883630601, 5946825300, 6010165780, 6073695008, 6137368890, 6201212017, 6265226906, 6329401105, 6393735773, 6458236755, 6522888587, 6587709395, 6652692489, 6717817826, 6783103167, 6848547951, 6914138256, 6979885305, 7045796216, 7111849546, 7178057707, 7244418100, 7310941051, 7377601201, 7444420450, 7511381647, 7578490318, 7645747498, 7713155421, 7780721312, 7848434917, 7916284204, 7984281088, 8052409988, 8120692588, 8189108999, 8257680622, 8326384123, 8395216411, 8464201240, 8533320799, 8602588785, 8672002557, 8741546030, 8811224851, 8881039153, 8950989771, 9021086396, 9091300071, 9161653494, 9232142291, 9302772660, 9373514396, 9444411775, 9515435985, 9586598325, 9657895235, 9729336623, 9800884171, 9872565508, 9944362729, 10016299097, 10088361071, 10160543371, 10232872835, 10305330718, 10377912638, 10450612219, 10523429889, 10596367372, 10669457496, 10742665386, 10815979089, 10889419474, 10963007974, 11036715549, 11110534070]
Built regression model!
Model info:
r^2: 0.9999999999445032
p-value: 0
intercept: -3.5060107325446666
slope: 1.3298557302315317
Fractal dimension: 1.3298557302315317