Circle-Packings/fractal_dimension/circle_counting_new/output1e7/pyramids/square_pyramid.txt
2022-04-28 19:46:50 -04:00

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Counting circles
20% 1m 39.496015024s remaining
40% 55.96503693s remaining
60% 33.179829061s remaining
80% 15.552962636s remaining
Took 1m 14.647199928999996s to count circles
Done counting circles!
sample points:
[5050000.0, 5100000.0, 5150000.0, 5200000.0, 5250000.0, 5300000.0, 5350000.0, 5400000.0, 5450000.0, 5500000.0, 5550000.0, 5600000.0, 5650000.0, 5700000.0, 5750000.0, 5800000.0, 5850000.0, 5900000.0, 5950000.0, 6000000.0, 6050000.0, 6100000.0, 6150000.0, 6200000.0, 6250000.0, 6300000.0, 6350000.0, 6400000.0, 6450000.0, 6500000.0, 6550000.0, 6600000.0, 6650000.0, 6700000.0, 6750000.0, 6800000.0, 6850000.0, 6900000.0, 6950000.0, 7000000.0, 7050000.0, 7100000.0, 7150000.0, 7200000.0, 7250000.0, 7300000.0, 7350000.0, 7400000.0, 7450000.0, 7500000.0, 7550000.0, 7600000.0, 7650000.0, 7700000.0, 7750000.0, 7800000.0, 7850000.0, 7900000.0, 7950000.0, 8000000.0, 8050000.0, 8100000.0, 8150000.0, 8200000.0, 8250000.0, 8300000.0, 8350000.0, 8400000.0, 8450000.0, 8500000.0, 8550000.0, 8600000.0, 8650000.0, 8700000.0, 8750000.0, 8800000.0, 8850000.0, 8900000.0, 8950000.0, 9000000.0, 9050000.0, 9100000.0, 9150000.0, 9200000.0, 9250000.0, 9300000.0, 9350000.0, 9400000.0, 9450000.0, 9500000.0, 9550000.0, 9600000.0, 9650000.0, 9700000.0, 9750000.0, 9800000.0, 9850000.0, 9900000.0, 9950000.0, 10000000.0]
number of circles fewer than each of those sample points:
[58089100, 58858076, 59629852, 60404965, 61182884, 61964168, 62746488, 63531004, 64318214, 65106094, 65899292, 66693240, 67488448, 68288784, 69088246, 69890832, 70695525, 71506123, 72317670, 73130024, 73942956, 74757474, 75577502, 76397008, 77221164, 78047308, 78875788, 79705778, 80539914, 81373202, 82209126, 83048708, 83894164, 84737426, 85583944, 86430546, 87277352, 88128932, 88980850, 89834616, 90692838, 91552684, 92415808, 93280406, 94147716, 95017228, 95888169, 96760167, 97633740, 98511850, 99389772, 100269294, 101152074, 102034779, 102917432, 103805292, 104695198, 105584627, 106476362, 107372516, 108269005, 109166257, 110068018, 110970692, 111874629, 112783842, 113692686, 114602854, 115513296, 116427302, 117343304, 118263012, 119182122, 120101704, 121025258, 121949082, 122875691, 123801085, 124727840, 125658696, 126589756, 127521730, 128457023, 129395854, 130337705, 131280456, 132225194, 133169456, 134115892, 135064970, 136015420, 136968004, 137921986, 138878922, 139833626, 140793324, 141753288, 142714664, 143677486, 144642351]
Built regression model!
Model info:
r^2: 0.9999999893003992
p-value: 0
intercept: -2.7315751519146154
slope: 1.3352287714114646
Fractal dimension: 1.3352287714114646