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

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Counting circles
20% 90m 43.358338459999686s remaining
40% 51m 1.8442311959997824s remaining
60% 30m 14.467398157999924s remaining
80% 14m 11.106545524000012s remaining
Took 68m 4.8515196809999s 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:
[3172526324, 3214534378, 3256678194, 3298951068, 3341376765, 3383915954, 3426591172, 3469438294, 3512398865, 3555478052, 3598689513, 3642055038, 3685532460, 3729137289, 3772870977, 3816760654, 3860770709, 3904903603, 3949151087, 3993541143, 4038052280, 4082682853, 4127439119, 4172309390, 4217318726, 4262437643, 4307672116, 4353032612, 4398519041, 4444097806, 4489806402, 4535625713, 4581565873, 4627631772, 4673794738, 4720066525, 4766479485, 4812996608, 4859606624, 4906338417, 4953194403, 5000149284, 5047224189, 5094403121, 5141670963, 5189077622, 5236588306, 5284195711, 5331923224, 5379740586, 5427690008, 5475731552, 5523897643, 5572159567, 5620523161, 5668999585, 5717584360, 5766264815, 5815075516, 5863948209, 5912932142, 5962022065, 6011232446, 6060517883, 6109918431, 6159403645, 6209001306, 6258707211, 6308488119, 6358393961, 6408386924, 6458487739, 6508692743, 6558983105, 6609375089, 6659880704, 6710446389, 6761126028, 6811910050, 6862762582, 6913728828, 6964800433, 7015961011, 7067209563, 7118527828, 7169946559, 7221473659, 7273084832, 7324789446, 7376588177, 7428473090, 7480456244, 7532514480, 7584679325, 7636938651, 7689281450, 7741707409, 7794234425, 7846838168, 7899540365]
Built regression model!
Model info:
r^2: 0.9999999991368778
p-value: 0
intercept: -2.733014095533605
slope: 1.3353200948052961
Fractal dimension: 1.3353200948052961