Circle-Packings/fractal_dimension/circle_counting_new/output4e8/pyramids/nonagonal_pyramid.txt
2022-04-28 19:46:50 -04:00

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Counting circles
10% 590m 57.63653627099848s remaining
20% 300m 48.07413599600113s remaining
30% 197m 58.59714711599918s remaining
40% 141m 47.44528932300091s remaining
50% 104m 9.51603926200005s remaining
60% 75m 46.903603695999664s remaining
70% 52m 44.28980861299988s remaining
80% 33m 5.3435772559998895s remaining
90% 15m 44.428644212999984s remaining
Took 151m 3.8123421100008272s to count circles
Done counting circles!
sample points:
[202000000.0, 204000000.0, 206000000.0, 208000000.0, 210000000.0, 212000000.0, 214000000.0, 216000000.0, 218000000.0, 220000000.0, 222000000.0, 224000000.0, 226000000.0, 228000000.0, 230000000.0, 232000000.0, 234000000.0, 236000000.0, 238000000.0, 240000000.0, 242000000.0, 244000000.0, 246000000.0, 248000000.0, 250000000.0, 252000000.0, 254000000.0, 256000000.0, 258000000.0, 260000000.0, 262000000.0, 264000000.0, 266000000.0, 268000000.0, 270000000.0, 272000000.0, 274000000.0, 276000000.0, 278000000.0, 280000000.0, 282000000.0, 284000000.0, 286000000.0, 288000000.0, 290000000.0, 292000000.0, 294000000.0, 296000000.0, 298000000.0, 300000000.0, 302000000.0, 304000000.0, 306000000.0, 308000000.0, 310000000.0, 312000000.0, 314000000.0, 316000000.0, 318000000.0, 320000000.0, 322000000.0, 324000000.0, 326000000.0, 328000000.0, 330000000.0, 332000000.0, 334000000.0, 336000000.0, 338000000.0, 340000000.0, 342000000.0, 344000000.0, 346000000.0, 348000000.0, 350000000.0, 352000000.0, 354000000.0, 356000000.0, 358000000.0, 360000000.0, 362000000.0, 364000000.0, 366000000.0, 368000000.0, 370000000.0, 372000000.0, 374000000.0, 376000000.0, 378000000.0, 380000000.0, 382000000.0, 384000000.0, 386000000.0, 388000000.0, 390000000.0, 392000000.0, 394000000.0, 396000000.0, 398000000.0, 400000000.0]
number of circles fewer than each of those sample points:
[3328744640, 3372646719, 3416684959, 3460874610, 3505193463, 3549652723, 3594262518, 3639003023, 3683888279, 3728900571, 3774052199, 3819343331, 3864758848, 3910289475, 3955961118, 4001770354, 4047701928, 4093775447, 4139977111, 4186308634, 4232771835, 4279346583, 4326058441, 4372899752, 4419866795, 4466939499, 4514136006, 4561463888, 4608921745, 4656488929, 4704189095, 4752007605, 4799939143, 4847986217, 4896162813, 4944453453, 4992858960, 5041373334, 5090008684, 5138769525, 5187645230, 5236632549, 5285734263, 5334941965, 5384266119, 5433697825, 5483253652, 5532917825, 5582679447, 5632567888, 5682565333, 5732670415, 5782876381, 5833205809, 5883630601, 5934170389, 5984809314, 6035559995, 6086420372, 6137368890, 6188428817, 6239605402, 6290882434, 6342250976, 6393735773, 6445321540, 6497011186, 6548794566, 6600697035, 6652692489, 6704787807, 6756973403, 6809269542, 6861648778, 6914138256, 6966720189, 7019418028, 7072200139, 7125078197, 7178057707, 7231133503, 7284309693, 7337593221, 7390955376, 7444420450, 7497968713, 7551628750, 7605367442, 7659218697, 7713155421, 7767198227, 7821331570, 7875557983, 7929872873, 7984281088, 8038774439, 8093370110, 8148037606, 8202815113, 8257680622]
Built regression model!
Model info:
r^2: 0.9999999998814441
p-value: 0
intercept: -3.505894990395227
slope: 1.3298498679086022
Fractal dimension: 1.3298498679086022