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

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Counting circles
10% 4m 30.173245149000024s remaining
20% 2m 16.590799142999998s remaining
30% 1m 29.547863461000006s remaining
40% 1m 3.9585914589999973s remaining
50% 46.856674223s remaining
60% 33.975515872s remaining
70% 23.544892557s remaining
80% 14.706705259s remaining
90% 6.969366593s remaining
Took 1m 6.721288267999995s 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:
[24647194, 24971023, 25297004, 25625054, 25952689, 26282623, 26612392, 26943410, 27275319, 27608821, 27942290, 28277922, 28614527, 28952371, 29290847, 29630708, 29970654, 30312292, 30653809, 30996166, 31340457, 31685175, 32031594, 32378916, 32725257, 33074296, 33423683, 33774518, 34126109, 34478618, 34831811, 35185729, 35540503, 35895898, 36252200, 36610617, 36968967, 37327941, 37687853, 38048899, 38409837, 38772027, 39135237, 39499773, 39864527, 40230816, 40597620, 40966135, 41334447, 41703918, 42074288, 42445391, 42817029, 43190223, 43563578, 43937142, 44312105, 44687625, 45063305, 45440897, 45820452, 46198671, 46577606, 46958420, 47339435, 47722315, 48104979, 48488745, 48872502, 49258204, 49643526, 50029734, 50416748, 50804312, 51191627, 51581516, 51971451, 52363040, 52754389, 53146293, 53539642, 53934158, 54328389, 54723708, 55118927, 55515900, 55913629, 56311266, 56709718, 57108678, 57508602, 57909744, 58311578, 58713957, 59116014, 59520470, 59925027, 60329259, 60734598, 61142141]
Built regression model!
Model info:
r^2: 0.9999999951717262
p-value: 0
intercept: -3.505638643613519
slope: 1.329829877914715
Fractal dimension: 1.329829877914715