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

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Counting circles
14% 512m 42.91324506000092s remaining
29% 265m 13.236175340000045s remaining
43% 168m 56.81832488799955s remaining
57% 110m 30.948623987000246s remaining
71% 67m 12.328082442999857s remaining
86% 31m 26.805923770999925s remaining
Took 209m 21.72015424900019s to count circles
Done counting circles!
sample points:
[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0]
number of circles fewer than each of those sample points:
[6526688212, 6613309671, 6700220074, 6787400527, 6874887017, 6962670015, 7050720574, 7139029399, 7227628841, 7316493204, 7405632666, 7495048712, 7584742502, 7674702486, 7764918440, 7855402575, 7946154534, 8037175279, 8128449198, 8220008834, 8311802543, 8403858529, 8496173701, 8588736975, 8681549740, 8774593504, 8867912730, 8961492832, 9055307189, 9149365974, 9243655591, 9338203358, 9432998772, 9528041020, 9623305935, 9718795831, 9814563224, 9910555676, 10006764111, 10103216578, 10199922926, 10296850252, 10394009371, 10491399377, 10589013559, 10686842007, 10784904142, 10883200220, 10981711010, 11080469414, 11179422327, 11278606540, 11378021308, 11477654378, 11577516416, 11677581185, 11777864701, 11878346079, 11979065682, 12079992361, 12181130297, 12282480489, 12384047136, 12485816131, 12587799268, 12689990794, 12792389005, 12895003749, 12997827369, 13100855128, 13204075230, 13307498163, 13411151243, 13515013737, 13619070875, 13723310965, 13827767402, 13932409004, 14037236097, 14142285094, 14247518154, 14352962875, 14458586877, 14564411373, 14670430352, 14776647997, 14883058302, 14989651409, 15096440880, 15203424567, 15310613091, 15417982954, 15525527457, 15633267220, 15741198720, 15849325878, 15957614252, 16066101522, 16174778362, 16283663196]
Built regression model!
Model info:
r^2: 0.9999999999795399
p-value: 0
intercept: -3.2911053479664503
slope: 1.338211438380835
Fractal dimension: 1.338211438380835