Circle-Packings/fractal_dimension/circle_counting_new/output2e8/antiprisms/square_antiprism.txt
2022-04-28 19:46:50 -04:00

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Counting circles
13% 211m 14.858630028000334s remaining
25% 180m 36.040324497000256s remaining
38% 148m 6.206527476000701s remaining
50% 117m 31.57882735899966s remaining
63% 87m 43.01816014399992s remaining
75% 58m 17.161327384999822s remaining
88% 29m 4.311041596999985s remaining
Took 232m 9.06253105200085s to count circles
Done counting circles!
sample points:
[101000000.0, 102000000.0, 103000000.0, 104000000.0, 105000000.0, 106000000.0, 107000000.0, 108000000.0, 109000000.0, 110000000.0, 111000000.0, 112000000.0, 113000000.0, 114000000.0, 115000000.0, 116000000.0, 117000000.0, 118000000.0, 119000000.0, 120000000.0, 121000000.0, 122000000.0, 123000000.0, 124000000.0, 125000000.0, 126000000.0, 127000000.0, 128000000.0, 129000000.0, 130000000.0, 131000000.0, 132000000.0, 133000000.0, 134000000.0, 135000000.0, 136000000.0, 137000000.0, 138000000.0, 139000000.0, 140000000.0, 141000000.0, 142000000.0, 143000000.0, 144000000.0, 145000000.0, 146000000.0, 147000000.0, 148000000.0, 149000000.0, 150000000.0, 151000000.0, 152000000.0, 153000000.0, 154000000.0, 155000000.0, 156000000.0, 157000000.0, 158000000.0, 159000000.0, 160000000.0, 161000000.0, 162000000.0, 163000000.0, 164000000.0, 165000000.0, 166000000.0, 167000000.0, 168000000.0, 169000000.0, 170000000.0, 171000000.0, 172000000.0, 173000000.0, 174000000.0, 175000000.0, 176000000.0, 177000000.0, 178000000.0, 179000000.0, 180000000.0, 181000000.0, 182000000.0, 183000000.0, 184000000.0, 185000000.0, 186000000.0, 187000000.0, 188000000.0, 189000000.0, 190000000.0, 191000000.0, 192000000.0, 193000000.0, 194000000.0, 195000000.0, 196000000.0, 197000000.0, 198000000.0, 199000000.0, 200000000.0]
number of circles fewer than each of those sample points:
[5145457972, 5215812340, 5286423372, 5357296708, 5428419330, 5499789430, 5571422597, 5643310421, 5715471850, 5787860007, 5860528102, 5933422522, 6006569635, 6079943430, 6153572429, 6227455686, 6301558096, 6375897555, 6450497343, 6525334053, 6600403594, 6675705554, 6751254746, 6827005836, 6903001795, 6979250474, 7055710878, 7132405731, 7209328976, 7286475645, 7363816916, 7441400237, 7519213900, 7597263618, 7675528922, 7753990807, 7832669584, 7911576538, 7990694494, 8070041667, 8149601683, 8229362376, 8309345329, 8389541881, 8469952182, 8550575211, 8631386249, 8712418530, 8793660336, 8875112817, 8956768522, 9038631813, 9120705387, 9202974464, 9285430828, 9368099830, 9450957653, 9534020961, 9617300005, 9700763702, 9784405655, 9868265003, 9952341794, 10036593482, 10121044722, 10205682775, 10290534064, 10375557383, 10460763464, 10546182108, 10631787891, 10717587284, 10803577339, 10889746202, 10976103188, 11062649448, 11149390206, 11236300124, 11323420523, 11410721625, 11498198989, 11585849869, 11673687781, 11761716725, 11849909031, 11938283772, 12026851567, 12115607010, 12204531894, 12293624233, 12382916766, 12472364211, 12562008870, 12651811973, 12741784310, 12831952258, 12922279535, 13012766349, 13103428540, 13194274559]
Built regression model!
Model info:
r^2: 0.9999999996935666
p-value: 0
intercept: -3.0419526518629283
slope: 1.378321090406904
Fractal dimension: 1.378321090406904