Circle-Packings/fractal_dimension/circle_counting_new/output6e8/pyramids/hexagonal_pyramid.txt
2022-06-19 00:24:05 -04:00

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Counting circles
14% 518m 58.843253615999856s remaining
29% 268m 29.188467522000792s remaining
43% 171m 1.6978419370007032s remaining
57% 111m 51.53519633100041s remaining
71% 68m 0.45534742000018014s remaining
86% 31m 48.98612243999992s remaining
Took 211m 47.16172404600002s to count circles
Done counting circles!
sample points:
[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0]
number of circles fewer than each of those sample points:
[8330197779, 8440756424, 8551678632, 8662969418, 8774593504, 8886607701, 8998992021, 9111720665, 9224786961, 9338203358, 9451985461, 9566106470, 9680565658, 9795392858, 9910555676, 10026039501, 10141869981, 10258055390, 10374561918, 10491399377, 10608562703, 10726029601, 10843843329, 10961985393, 11080469414, 11199239569, 11318344628, 11437782679, 11557525698, 11677581185, 11797950974, 11918601543, 12039597111, 12160878945, 12282480489, 12404380088, 12526585494, 12649080137, 12771899181, 12895003749, 13018421935, 13142114799, 13266114204, 13390398433, 13515013737, 13639909692, 13765070921, 13890525744, 14016263018, 14142285094, 14268591084, 14395189180, 14522066216, 14649204379, 14776647997, 14904357575, 15032335071, 15160599519, 15289168971, 15417982954, 15547057939, 15676417878, 15806053246, 15935943089, 16066101522, 16196543865, 16327255775, 16458223082, 16589443780, 16720943371, 16852710210, 16984725428, 17117012938, 17249544970, 17382306672, 17515337236, 17648660127, 17782215476, 17916032432, 18050124966, 18184438452, 18319007936, 18453838691, 18588900955, 18724225940, 18859783993, 18995611505, 19131665611, 19267985076, 19404512031, 19541300089, 19678347563, 19815633519, 19953157159, 20090931539, 20228925724, 20367160353, 20505636173, 20644323214, 20783254979]
Built regression model!
Model info:
r^2: 0.9999999999812019
p-value: 0
intercept: -3.291098011849826
slope: 1.3382110668524845
Fractal dimension: 1.3382110668524845