Circle-Packings/fractal_dimension/circle_counting_new/output3e8/pyramids/square_pyramid.txt
2022-04-28 19:46:50 -04:00

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Counting circles
20% 148m 41.54860963600004s remaining
40% 83m 38.85915682399991s remaining
60% 49m 34.20747987699997s remaining
80% 23m 14.109406339000088s remaining
Took 111m 31.876416029999746s to count circles
Done counting circles!
sample points:
[151500000.0, 153000000.0, 154500000.0, 156000000.0, 157500000.0, 159000000.0, 160500000.0, 162000000.0, 163500000.0, 165000000.0, 166500000.0, 168000000.0, 169500000.0, 171000000.0, 172500000.0, 174000000.0, 175500000.0, 177000000.0, 178500000.0, 180000000.0, 181500000.0, 183000000.0, 184500000.0, 186000000.0, 187500000.0, 189000000.0, 190500000.0, 192000000.0, 193500000.0, 195000000.0, 196500000.0, 198000000.0, 199500000.0, 201000000.0, 202500000.0, 204000000.0, 205500000.0, 207000000.0, 208500000.0, 210000000.0, 211500000.0, 213000000.0, 214500000.0, 216000000.0, 217500000.0, 219000000.0, 220500000.0, 222000000.0, 223500000.0, 225000000.0, 226500000.0, 228000000.0, 229500000.0, 231000000.0, 232500000.0, 234000000.0, 235500000.0, 237000000.0, 238500000.0, 240000000.0, 241500000.0, 243000000.0, 244500000.0, 246000000.0, 247500000.0, 249000000.0, 250500000.0, 252000000.0, 253500000.0, 255000000.0, 256500000.0, 258000000.0, 259500000.0, 261000000.0, 262500000.0, 264000000.0, 265500000.0, 267000000.0, 268500000.0, 270000000.0, 271500000.0, 273000000.0, 274500000.0, 276000000.0, 277500000.0, 279000000.0, 280500000.0, 282000000.0, 283500000.0, 285000000.0, 286500000.0, 288000000.0, 289500000.0, 291000000.0, 292500000.0, 294000000.0, 295500000.0, 297000000.0, 298500000.0, 300000000.0]
number of circles fewer than each of those sample points:
[5451693817, 5523897643, 5596329319, 5668999585, 5741911809, 5815075516, 5888433227, 5962022065, 6035863160, 6109918431, 6184189871, 6258707211, 6333435698, 6408386924, 6483578296, 6558983105, 6634616622, 6710446389, 6786504977, 6862762582, 6939258597, 7015961011, 7092868715, 7169946559, 7247264578, 7324789446, 7402525943, 7480456244, 7558591020, 7636938651, 7715488586, 7794234425, 7873183474, 7952331182, 8031698311, 8111244048, 8190982411, 8270916175, 8351059238, 8431378460, 8511902116, 8592604648, 8673491624, 8754587759, 8835854465, 8917297182, 8998946116, 9080775523, 9162783870, 9244966503, 9327356051, 9409946510, 9492706827, 9575634672, 9658735969, 9742021664, 9825478421, 9909132582, 9992971533, 10076991780, 10161167834, 10245527487, 10330077967, 10414766998, 10499667688, 10584708854, 10669930260, 10755327571, 10840890279, 10926646232, 11012580798, 11098647710, 11184911434, 11271339747, 11357922519, 11444690442, 11531611010, 11618697758, 11705934579, 11793351818, 11880927371, 11968689332, 12056582578, 12144645419, 12232850936, 12321248260, 12409803078, 12498502367, 12587345469, 12676338417, 12765499537, 12854815453, 12944290121, 13033911186, 13123708620, 13213624936, 13303701417, 13393920578, 13484323718, 13574888787]
Built regression model!
Model info:
r^2: 0.9999999995043359
p-value: 0
intercept: -2.733166951075063
slope: 1.3353281193939301
Fractal dimension: 1.3353281193939301