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

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Counting circles
10% 244m 10.743517938000878s remaining
20% 123m 22.086866724000174s remaining
30% 80m 44.39892984299968s remaining
40% 57m 34.35148305599978s remaining
50% 42m 8.202395719999913s remaining
60% 30m 33.59577650699998s remaining
70% 21m 12.481040854999947s remaining
80% 13m 16.385720609000032s remaining
90% 6m 18.02384973300002s remaining
Took 60m 21.348938735000047s 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:
[1324204916, 1341663806, 1359179752, 1376755063, 1394384287, 1412065419, 1429808514, 1447608743, 1465459503, 1483370374, 1501339351, 1519353014, 1537421745, 1555539805, 1573709516, 1591934915, 1610213357, 1628545411, 1646921213, 1665353364, 1683838708, 1702372541, 1720952032, 1739579338, 1758257793, 1776986940, 1795772362, 1814599335, 1833484717, 1852410171, 1871381868, 1890410010, 1909473452, 1928587852, 1947743519, 1966943575, 1986204686, 2005510242, 2024856840, 2044254607, 2063693452, 2083181706, 2102718224, 2122291401, 2141907962, 2161577015, 2181293824, 2201050214, 2220843970, 2240693153, 2260584451, 2280513787, 2300496817, 2320507506, 2340563352, 2360664415, 2380815249, 2400998346, 2421228192, 2441500718, 2461814878, 2482168363, 2502565113, 2523001803, 2543473087, 2563987832, 2584549228, 2605150987, 2625796743, 2646486438, 2667206659, 2687966255, 2708764068, 2729615007, 2750497204, 2771415076, 2792375583, 2813371199, 2834413044, 2855487402, 2876601152, 2897753774, 2918946056, 2940175689, 2961439949, 2982747284, 3004096727, 3025483291, 3046898773, 3068365468, 3089862897, 3111388757, 3132962574, 3154567732, 3176217729, 3197899454, 3219619210, 3241374929, 3263162828, 3284982526]
Built regression model!
Model info:
r^2: 0.9999999998006288
p-value: 0
intercept: -3.5059656209415166
slope: 1.32985346035568
Fractal dimension: 1.32985346035568