Circle-Packings/fractal_dimension/circle_counting_new/output5e7/pyramids/square_pyramid.txt
2022-04-28 19:46:50 -04:00

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Counting circles
20% 12m 39.662518532000036s remaining
40% 7m 7.328571751000027s remaining
60% 4m 13.233682718000011s remaining
80% 1m 58.704647292000004s remaining
Took 9m 29.818060469999978s to count circles
Done counting circles!
sample points:
[25250000.0, 25500000.0, 25750000.0, 26000000.0, 26250000.0, 26500000.0, 26750000.0, 27000000.0, 27250000.0, 27500000.0, 27750000.0, 28000000.0, 28250000.0, 28500000.0, 28750000.0, 29000000.0, 29250000.0, 29500000.0, 29750000.0, 30000000.0, 30250000.0, 30500000.0, 30750000.0, 31000000.0, 31250000.0, 31500000.0, 31750000.0, 32000000.0, 32250000.0, 32500000.0, 32750000.0, 33000000.0, 33250000.0, 33500000.0, 33750000.0, 34000000.0, 34250000.0, 34500000.0, 34750000.0, 35000000.0, 35250000.0, 35500000.0, 35750000.0, 36000000.0, 36250000.0, 36500000.0, 36750000.0, 37000000.0, 37250000.0, 37500000.0, 37750000.0, 38000000.0, 38250000.0, 38500000.0, 38750000.0, 39000000.0, 39250000.0, 39500000.0, 39750000.0, 40000000.0, 40250000.0, 40500000.0, 40750000.0, 41000000.0, 41250000.0, 41500000.0, 41750000.0, 42000000.0, 42250000.0, 42500000.0, 42750000.0, 43000000.0, 43250000.0, 43500000.0, 43750000.0, 44000000.0, 44250000.0, 44500000.0, 44750000.0, 45000000.0, 45250000.0, 45500000.0, 45750000.0, 46000000.0, 46250000.0, 46500000.0, 46750000.0, 47000000.0, 47250000.0, 47500000.0, 47750000.0, 48000000.0, 48250000.0, 48500000.0, 48750000.0, 49000000.0, 49250000.0, 49500000.0, 49750000.0, 50000000.0]
number of circles fewer than each of those sample points:
[498252315, 504851095, 511468157, 518112699, 524775451, 531464508, 538168721, 544897424, 551642292, 558405885, 565187173, 572004237, 578829289, 585679497, 592550418, 599444935, 606360426, 613294212, 620245515, 627210547, 634213373, 641219237, 648250890, 655294104, 662359079, 669453815, 676560465, 683679001, 690824333, 697977079, 705151970, 712352197, 719573915, 726804213, 734048166, 741311421, 748604354, 755914047, 763235085, 770577262, 777930623, 785304235, 792699432, 800105630, 807536621, 814979312, 822441043, 829917994, 837409364, 844922850, 852447922, 859990954, 867551056, 875126402, 882729638, 890345912, 897976008, 905619596, 913283463, 920966365, 928662949, 936369442, 944096020, 951833611, 959599403, 967369306, 975160950, 982978255, 990791531, 998628303, 1006481742, 1014342545, 1022219417, 1030123667, 1038042468, 1045966357, 1053906894, 1061873929, 1069845221, 1077833754, 1085843178, 1093862219, 1101904114, 1109956568, 1118027364, 1126108395, 1134194601, 1142299919, 1150423850, 1158554489, 1166701730, 1174859523, 1183036733, 1191223990, 1199429122, 1207655117, 1215890916, 1224128060, 1232400133, 1240675754]
Built regression model!
Model info:
r^2: 0.9999999973241316
p-value: 0
intercept: -2.733224031283328
slope: 1.3353318966035501
Fractal dimension: 1.3353318966035501