diff --git a/fractal_dimension/circle_counting_new/output3e8/misc/6v7f1.txt b/fractal_dimension/circle_counting_new/output3e8/misc/6v7f1.txt new file mode 100644 index 0000000..a6dc5c0 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/misc/6v7f1.txt @@ -0,0 +1,23 @@ +Counting circles +17% 178m 50.4545084500005s remaining +33% 118m 15.27870795400031s remaining +50% 71m 33.10659561600005s remaining +67% 41m 59.53769299099986s remaining +83% 21m 28.024355705000062s remaining + +Took 118m 27.105670320999707s 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: +[4665769182, 4727044254, 4788513977, 4850184296, 4912042238, 4974106233, 5036337870, 5098755410, 5161357350, 5224157175, 5287138269, 5350308807, 5413670437, 5477208163, 5540925357, 5604805569, 5668870808, 5733120431, 5797550692, 5862143444, 5926924771, 5991864069, 6056994500, 6122299689, 6187768025, 6253417369, 6319217348, 6385209916, 6451352355, 6517667723, 6584140289, 6650781238, 6717566166, 6784521113, 6851650197, 6918933456, 6986373477, 7053993665, 7121762833, 7189694254, 7257785989, 7326041857, 7394430655, 7462998066, 7531704280, 7600566971, 7669579633, 7738760844, 7808055497, 7877525020, 7947147456, 8016934923, 8086857288, 8156920220, 8227145005, 8297504100, 8368009805, 8438661917, 8509465141, 8580402716, 8651477636, 8722700399, 8794069549, 8865565070, 8937207181, 9009009763, 9080939099, 9153012086, 9225228555, 9297597401, 9370093562, 9442708831, 9515480543, 9588380478, 9661422688, 9734597781, 9807911137, 9881354404, 9954934889, 10028640958, 10102476548, 10176478727, 10250591442, 10324825288, 10399207677, 10473712124, 10548358251, 10623110543, 10698004896, 10773020897, 10848175449, 10923465851, 10998874849, 11074408752, 11150074626, 11225865298, 11301774668, 11377793472, 11453972682, 11530251837] + +Built regression model! +Model info: + r^2: 0.9999999998961631 + p-value: 0 + intercept: -2.679902267907096 + slope: 1.3242354210219975 +Fractal dimension: 1.3242354210219975 diff --git a/fractal_dimension/circle_counting_new/output3e8/misc/6v7f2.txt b/fractal_dimension/circle_counting_new/output3e8/misc/6v7f2.txt new file mode 100644 index 0000000..1e173ce --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/misc/6v7f2.txt @@ -0,0 +1,23 @@ +Counting circles +17% 83m 21.58811671999956s remaining +33% 66m 23.411911864000103s remaining +50% 41m 27.674888694999936s remaining +67% 29m 16.93107773299994s remaining +83% 13m 21.864043866999964s remaining + +Took 83m 55.22137523299989s 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: +[3288872827, 3332514331, 3376309344, 3420250206, 3464328273, 3508568300, 3552927004, 3597439186, 3642081149, 3686876489, 3731796055, 3776856744, 3822058107, 3867372844, 3912833585, 3958417695, 4004160294, 4050016141, 4096017052, 4142128350, 4188385219, 4234769556, 4281286720, 4327922775, 4374674222, 4421581913, 4468603353, 4515754260, 4563025759, 4610420635, 4657958245, 4705598651, 4753370076, 4801270239, 4849289431, 4897425973, 4945685535, 4994047936, 5042544658, 5091146637, 5139864431, 5188689767, 5237659521, 5286730475, 5335907652, 5385221386, 5434663085, 5484196624, 5533827295, 5583583204, 5633445402, 5683430016, 5733509911, 5783723507, 5834036532, 5884470638, 5934995418, 5985624532, 6036370001, 6087239261, 6138195825, 6189271968, 6240443883, 6291732448, 6343127933, 6394635522, 6446232149, 6497941781, 6549758366, 6601677999, 6653700789, 6705818863, 6758037328, 6810384293, 6862821901, 6915337880, 6967978965, 7020706665, 7073522709, 7126447563, 7179478204, 7232605366, 7285829958, 7339145243, 7392543527, 7446070093, 7499685212, 7553413921, 7607224970, 7661126439, 7715135109, 7769233455, 7823436826, 7877722298, 7932115650, 7986606584, 8041188203, 8095860507, 8150647452, 8205501362] + +Built regression model! +Model info: + r^2: 0.9999999997764354 + p-value: 0 + intercept: -3.2928251203872847 + slope: 1.3382091338817814 +Fractal dimension: 1.3382091338817814 diff --git a/fractal_dimension/circle_counting_new/output3e8/misc/cuboctohedron.txt b/fractal_dimension/circle_counting_new/output3e8/misc/cuboctohedron.txt new file mode 100644 index 0000000..ace4a2f --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/misc/cuboctohedron.txt @@ -0,0 +1,29 @@ +Counting circles +8% 1288m 36.4715304190031s remaining +17% 1171m 19.864785679004854s remaining +25% 1053m 59.84198599099909s remaining +33% 936m 53.34459489599976s remaining +42% 820m 3.4656472470014705s remaining +50% 702m 55.7910829570028s remaining +58% 585m 49.83795223299967s remaining +67% 468m 39.9233393329996s remaining +75% 351m 29.708720906000963s remaining +83% 234m 19.37248092200025s remaining +92% 117m 10.252667374000339s remaining + +Took 1406m 3.600957215006929s 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: +[24633288002, 24988597160, 25345529981, 25704061816, 26064078718, 26425691232, 26788867037, 27153570991, 27519778022, 27887517375, 28256801531, 28627570574, 28999868784, 29373636310, 29748898205, 30125677470, 30503921992, 30883636305, 31264828846, 31647438265, 32031488210, 32416982622, 32803908706, 33192306139, 33582146595, 33973307762, 34365911782, 34759939171, 35155350553, 35552175994, 35950416844, 36350009004, 36751035175, 37153368777, 37557087524, 37962147909, 38368591625, 38776323998, 39185415972, 39595820167, 40007598330, 40420721566, 40835131504, 41250885737, 41667940224, 42086303357, 42505959708, 42926912826, 43349196131, 43772797012, 44197629079, 44623753387, 45051149250, 45479789870, 45909668855, 46340847298, 46773268772, 47206902132, 47641811465, 48077982369, 48515382268, 48953992094, 49393851643, 49834953634, 50277260736, 50720791966, 51165542883, 51611519999, 52058696971, 52507022382, 52956571311, 53407301459, 53859211328, 54312328915, 54766595636, 55222052732, 55678707471, 56136555638, 56595583064, 57055781514, 57517119939, 57979561324, 58443179024, 58907979065, 59373930398, 59841035538, 60309230586, 60778582235, 61249090034, 61720722045, 62193467411, 62667349083, 63142351271, 63618476967, 64095709855, 64574057804, 65053527120, 65534037819, 66015675115, 66498415675] + +Built regression model! +Model info: + r^2: 0.9999999999823119 + p-value: 0 + intercept: -3.452297132092447 + slope: 1.4535742537908198 +Fractal dimension: 1.4535742537908198 diff --git a/fractal_dimension/circle_counting_new/output3e8/misc/truncated_icosahedron.txt b/fractal_dimension/circle_counting_new/output3e8/misc/truncated_icosahedron.txt new file mode 100644 index 0000000..9dd3e65 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/misc/truncated_icosahedron.txt @@ -0,0 +1,77 @@ +Counting circles +2% 15536m 15.768490195972845s remaining +3% 14192m 7.069377279956825s remaining +5% 14123m 8.687810836941935s remaining +7% 13449m 40.156389596057124s remaining +8% 13398m 20.373015749966726s remaining +10% 13302m 56.31712526699994s remaining +12% 12860m 45.347875664010644s remaining +13% 12490m 2.746286395005882s remaining +15% 12298m 37.88884923502337s remaining +17% 12076m 3.0007728949422017s remaining +18% 11937m 12.34726262895856s remaining +20% 11696m 6.48556839604862s remaining +22% 11523m 36.07388526003342s remaining +23% 11237m 28.9356696420582s remaining +25% 11079m 27.964387463987805s remaining +27% 10800m 30.266948121017776s remaining +28% 10558m 20.728769253008068s remaining +30% 10240m 51.29825361503754s remaining +32% 10009m 33.03412012697663s remaining +33% 9711m 59.69620926002972s remaining +35% 9511m 11.82797160698101s remaining +37% 9285m 30.659334250027314s remaining +38% 9073m 4.416954420041293s remaining +40% 8839m 15.571576131973416s remaining +42% 8568m 12.398330946976785s remaining +43% 8290m 6.970035573001951s remaining +45% 8049m 26.290885348978918s remaining +47% 7780m 21.92460414697416s remaining +48% 7543m 40.25633473502239s remaining +50% 7290m 14.88209516898496s remaining +52% 7061m 6.928040946018882s remaining +53% 6815m 53.467230805021245s remaining +55% 6568m 7.103628052980639s remaining +57% 6308m 52.45764768199297s remaining +58% 6069m 11.418582957994658s remaining +60% 5818m 26.892575246980414s remaining +62% 5583m 0.482058109017089s remaining +63% 5330m 46.95985246700002s remaining +65% 5098m 21.56565603602212s remaining +67% 4850m 47.73988541099243s remaining +68% 4610m 11.357969184988178s remaining +70% 4357m 50.80644713100628s remaining +72% 4120m 13.578313701989828s remaining +73% 3872m 4.008375444012927s remaining +75% 3638m 7.987257217988372s remaining +77% 3394m 40.111631128995214s remaining +78% 3159m 17.357574747991748s remaining +80% 2915m 52.93626359399059s remaining +82% 2671m 53.15269904799061s remaining +83% 2423m 6.7787864719866775s remaining +85% 2180m 30.26394186100515s remaining +87% 1934m 4.524023399993894s remaining +88% 1693m 49.55730595999921s remaining +90% 1452m 20.45673718499893s remaining +92% 1211m 56.64759199200489s remaining +93% 970m 19.896584071997495s remaining +95% 726m 56.72514706700167s remaining +97% 483m 52.730507519998355s remaining +98% 241m 48.253957636999985s remaining + +Took 14493m 41.144571873010136s 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: +[94726772743, 96285776861, 97854810932, 99433911753, 101023015089, 102622113837, 104231046856, 105849895748, 107478677729, 109117238238, 110765692208, 112423898818, 114091864960, 115769487114, 117456853717, 119153896082, 120860613075, 122576993650, 124302863145, 126038315768, 127783193373, 129537692559, 131301647713, 133075069909, 134857832849, 136649948420, 138451494112, 140262437808, 142082685244, 143912183156, 145750872657, 147598849228, 149455985200, 151322463908, 153198092654, 155082855061, 156976665517, 158879639708, 160791653173, 162712813105, 164642896748, 166581940453, 168530044345, 170487194669, 172453230305, 174428141147, 176411928562, 178404690918, 180406275720, 182416653454, 184435909198, 186463964903, 188500795656, 190546423867, 192600825573, 194663876736, 196735597599, 198816081979, 200905238942, 203003005165, 205109505703, 207224556595, 209348113390, 211480366988, 213621077677, 215770324820, 217928119742, 220094460047, 222269280640, 224452498461, 226644223886, 228844299852, 231052859233, 233269856896, 235495187599, 237728867256, 239970965766, 242221476736, 244480203651, 246747228469, 249022578403, 251306223893, 253598137391, 255898290623, 258206533475, 260523109592, 262847893557, 265180770841, 267521912088, 269871162437, 272228514546, 274593948727, 276967545756, 279349249483, 281738925645, 284136716531, 286542522957, 288956338373, 291378347691, 293808283148] + +Built regression model! +Model info: + r^2: 0.9999999999904517 + p-value: 0 + intercept: -5.93361269768431 + slope: 1.6568123896810754 +Fractal dimension: 1.6568123896810754 diff --git a/fractal_dimension/circle_counting_new/output3e8/platonic_solids/dodecahedron.txt b/fractal_dimension/circle_counting_new/output3e8/platonic_solids/dodecahedron.txt index 954dcbc..c4683b5 100644 --- a/fractal_dimension/circle_counting_new/output3e8/platonic_solids/dodecahedron.txt +++ b/fractal_dimension/circle_counting_new/output3e8/platonic_solids/dodecahedron.txt @@ -8,3 +8,30 @@ 35% 2410m 9.380713902995922s remaining 40% 2224m 5.741851380007574s remaining 45% 2038m 17.55029959100648s remaining +50% 1846m 28.6478502760001s remaining +55% 1653m 25.655287133005913s remaining +60% 1464m 9.163831840996863s remaining +65% 1276m 47.07652252599655s remaining +70% 1090m 51.16326522899908s remaining +75% 906m 35.93650396299927s remaining +80% 724m 31.371209996003017s remaining +85% 544m 9.475690237999515s remaining +90% 362m 29.99581352200039s remaining +95% 180m 52.00064958499934s remaining + +Took 3610m 45.93391782298568s 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: +[54857237716, 55726775772, 56601413104, 57481106913, 58365860024, 59255710388, 60150494757, 61050309366, 61955160678, 62864976370, 63779715380, 64699309457, 65623901389, 66553340162, 67487658394, 68426827497, 69370857265, 70319702699, 71273317512, 72231755143, 73194982230, 74162896070, 75135592350, 76112997905, 77095175532, 78082044673, 79073523066, 80069752213, 81070594097, 82076179048, 83086282761, 84100987502, 85120287843, 86144200571, 87172699890, 88205705901, 89243199935, 90285320827, 91331829361, 92382916045, 93438517102, 94498599923, 95563102795, 96631999172, 97705338370, 98783133915, 99865367081, 100951972233, 102043003317, 103138375001, 104238095134, 105342180467, 106450557646, 107563286856, 108680410585, 109801796290, 110927488104, 112057488604, 113191702891, 114330184928, 115472942772, 116619911126, 117771163917, 118926611355, 120086226730, 121250057889, 122418077985, 123590283484, 124766684100, 125947203885, 127131889453, 128320674298, 129513569851, 130710604316, 131911734907, 133117000984, 134326346003, 135539794674, 136757291799, 137978805973, 139204458277, 140434153067, 141667856332, 142905567492, 144147353644, 145393037696, 146642789594, 147896489908, 149154210239, 150415840204, 151681608063, 152951240113, 154224766640, 155502314811, 156783775553, 158069175378, 159358537575, 160651786038, 161948859230, 163249799333] + +Built regression model! +Model info: + r^2: 0.9999999999967062 + p-value: 0 + intercept: -5.3389750627194985 + slope: 1.596242363635575 +Fractal dimension: 1.596242363635575 diff --git a/fractal_dimension/circle_counting_new/output3e8/platonic_solids/octahedron.txt b/fractal_dimension/circle_counting_new/output3e8/platonic_solids/octahedron.txt new file mode 100644 index 0000000..fd122b8 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output3e8/platonic_solids/octahedron.txt @@ -0,0 +1,23 @@ +Counting circles +17% 133m 14.81226757999957s remaining +33% 106m 35.70637349400022s remaining +50% 79m 56.068995243000245s remaining +67% 53m 17.82320212700006s remaining +83% 26m 39.04120990399997s remaining + +Took 159m 54.69949072300005s 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: +[5451693918, 5523897763, 5596329391, 5668999691, 5741911884, 5815075590, 5888433308, 5962022172, 6035863261, 6109918555, 6184189961, 6258707288, 6333435802, 6408387014, 6483578469, 6558983227, 6634616753, 6710446517, 6786505087, 6862762693, 6939258686, 7015961154, 7092868811, 7169946714, 7247264733, 7324789604, 7402526111, 7480456404, 7558591139, 7636938808, 7715488689, 7794234597, 7873183661, 7952331335, 8031698474, 8111244213, 8190982565, 8270916346, 8351059405, 8431378685, 8511902269, 8592604809, 8673491816, 8754587951, 8835854640, 8917297354, 8998946318, 9080775763, 9162784068, 9244966719, 9327356286, 9409946763, 9492707065, 9575634886, 9658736216, 9742021914, 9825478647, 9909132845, 9992971760, 10076992004, 10161168107, 10245527734, 10330078202, 10414767225, 10499667888, 10584709116, 10669930551, 10755327813, 10840890527, 10926646498, 11012581076, 11098647956, 11184911724, 11271340042, 11357922802, 11444690694, 11531611334, 11618698057, 11705934916, 11793352123, 11880927641, 11968689703, 12056582907, 12144645732, 12232851276, 12321248595, 12409803402, 12498502763, 12587345819, 12676338753, 12765499896, 12854815814, 12944290457, 13033911569, 13123708946, 13213625325, 13303701831, 13393920933, 13484324093, 13574889182] + +Built regression model! +Model info: + r^2: 0.9999999995043506 + p-value: 0 + intercept: -2.733167300531626 + slope: 1.3353281387462352 +Fractal dimension: 1.3353281387462352 diff --git a/fractal_dimension/circle_counting_new/output3e8/platonic_solids/tetrahedron.txt b/fractal_dimension/circle_counting_new/output3e8/platonic_solids/tetrahedron.txt new file mode 100644 index 0000000..e69de29 diff --git a/fractal_dimension/circle_counting_new/output4e8/misc/6v7f1.txt b/fractal_dimension/circle_counting_new/output4e8/misc/6v7f1.txt new file mode 100644 index 0000000..984f1fe --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/misc/6v7f1.txt @@ -0,0 +1,23 @@ +Counting circles +17% 246m 39.22455800500029s remaining +33% 163m 13.68858941200051s remaining +50% 98m 44.24889214599989s remaining +67% 57m 55.68216297800018s remaining +83% 29m 38.67240932699997s remaining + +Took 163m 57.43810071699954s 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: +[6829258770, 6918933456, 7008895015, 7099154601, 7189694254, 7280520818, 7371617189, 7462998066, 7554640095, 7646560584, 7738760844, 7831192278, 7923922460, 8016934923, 8110190623, 8203722284, 8297504100, 8391545437, 8485849535, 8580402716, 8675203919, 8770262080, 8865565070, 8961127941, 9056950943, 9153012086, 9249338513, 9345917350, 9442708831, 9539763853, 9637059510, 9734597781, 9832378742, 9930394377, 10028640958, 10127128202, 10225876207, 10324825288, 10424032551, 10523464141, 10623110543, 10722997382, 10823115122, 10923465851, 11024040887, 11124836820, 11225865298, 11327098439, 11428567034, 11530251837, 11632158025, 11734270424, 11836607540, 11939157765, 12041927833, 12144917050, 12248130326, 12351536899, 12455146046, 12558994242, 12663036914, 12767287952, 12871768139, 12976464871, 13081347143, 13186427711, 13291733056, 13397236297, 13502956135, 13608856953, 13714959542, 13821252342, 13927769231, 14034485170, 14141389834, 14248504021, 14355829912, 14463338192, 14571050743, 14678942399, 14787023711, 14895298037, 15003776844, 15112438660, 15221321588, 15330387250, 15439627895, 15549042248, 15658647072, 15768450493, 15878437236, 15988619324, 16098977905, 16209546415, 16320291196, 16431205238, 16542290150, 16653587561, 16765053005, 16876716501] + +Built regression model! +Model info: + r^2: 0.9999999999098886 + p-value: 0 + intercept: -2.680074624896932 + slope: 1.3242443684636434 +Fractal dimension: 1.3242443684636434 diff --git a/fractal_dimension/circle_counting_new/output4e8/misc/6v7f2.txt b/fractal_dimension/circle_counting_new/output4e8/misc/6v7f2.txt new file mode 100644 index 0000000..5013deb --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/misc/6v7f2.txt @@ -0,0 +1,23 @@ +Counting circles +17% 121m 36.87446848499985s remaining +33% 97m 19.067595671999698s remaining +50% 60m 50.772917116999906s remaining +67% 43m 1.5033805799998845s remaining +83% 19m 38.72699329400007s remaining + +Took 123m 22.343338609000057s 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: +[4833264635, 4897425973, 4961792261, 5026370109, 5091146637, 5156118641, 5221328054, 5286730475, 5352331025, 5418165766, 5484196624, 5550400999, 5616805911, 5683430016, 5750236247, 5817247545, 5884470638, 5951853055, 6019432197, 6087239261, 6155208932, 6223380259, 6291732448, 6360289692, 6429015265, 6497941781, 6567047271, 6636354860, 6705818863, 6775466135, 6845326012, 6915337880, 6985538128, 7055907630, 7126447563, 7197180278, 7268072717, 7339145243, 7410373156, 7481807455, 7553413921, 7625179126, 7697118968, 7769233455, 7841520629, 7913966439, 7986606584, 8059400714, 8132371430, 8205501362, 8278790859, 8352232701, 8425849105, 8499635579, 8573590470, 8647702516, 8721971683, 8796390772, 8870952000, 8945701823, 9020603136, 9095660961, 9170875000, 9246237984, 9321757036, 9397474769, 9473297884, 9549264648, 9625403682, 9701706662, 9778153700, 9854768696, 9931523621, 10008404777, 10085464635, 10162663068, 10240016534, 10317509536, 10395142893, 10472917023, 10550851946, 10628933562, 10707165329, 10785549937, 10864053257, 10942692534, 11021494139, 11100430378, 11179511379, 11258730896, 11338105326, 11417646749, 11497306482, 11577094194, 11657025529, 11737107173, 11817307657, 11897623538, 11978086657, 12058683766] + +Built regression model! +Model info: + r^2: 0.9999999998899217 + p-value: 0 + intercept: -3.2928817875960306 + slope: 1.3382121342288391 +Fractal dimension: 1.3382121342288391 diff --git a/fractal_dimension/circle_counting_new/output4e8/misc/cuboctohedron.txt b/fractal_dimension/circle_counting_new/output4e8/misc/cuboctohedron.txt new file mode 100644 index 0000000..17086d5 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/misc/cuboctohedron.txt @@ -0,0 +1,29 @@ +Counting circles +8% 1845m 50.29047910300142s remaining +17% 1676m 56.295326268998906s remaining +25% 1507m 36.25788208800077s remaining +33% 1339m 22.14072832200327s remaining +42% 1172m 20.4909281010041s remaining +50% 1004m 54.19083868400048s remaining +58% 837m 11.642251739998756s remaining +67% 669m 35.64710815499711s remaining +75% 502m 8.17696320899995s remaining +83% 335m 2.8186734090013488s remaining +92% 167m 31.92087728399929s remaining + +Took 2010m 4.795654550995096s 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: +[37422366101, 37962147909, 38504354992, 39048896514, 39595820167, 40145163494, 40696849747, 41250885737, 41807275625, 42365910244, 42926912826, 43490234871, 44055874684, 44623753387, 45193882978, 45766239961, 46340847298, 46917683706, 47496710801, 48077982369, 48661460149, 49247082955, 49834953634, 50424963320, 51017166088, 51611519999, 52208022461, 52806607538, 53407301459, 54010105109, 54615038573, 55222052732, 55831182976, 56442423323, 57055781514, 57671142833, 58288519971, 58907979065, 59529526011, 60153033690, 60778582235, 61406180555, 62035756283, 62667349083, 63300934585, 63936494541, 64574057804, 65213558058, 65855010315, 66498415675, 67143783086, 67791126740, 68440413062, 69091597769, 69744688476, 70399745897, 71056671583, 71715442758, 72376123014, 73038723620, 73703233252, 74369599407, 75037853382, 75707967343, 76379902160, 77053670567, 77729287197, 78406762196, 79086109971, 79767234936, 80450245800, 81135024479, 81821616973, 82510022870, 83200163037, 83892177838, 84586007242, 85281517422, 85978858501, 86677985868, 87378833106, 88081478934, 88785805814, 89491877374, 90199713216, 90909250725, 91620563894, 92333570557, 93048377124, 93764903556, 94483085299, 95202966392, 95924615592, 96647923083, 97372979017, 98099710753, 98828118969, 99558144967, 100289866225, 101023276268] + +Built regression model! +Model info: + r^2: 0.9999999999786621 + p-value: 0 + intercept: -3.4523975434340386 + slope: 1.4535794478758508 +Fractal dimension: 1.4535794478758508 diff --git a/fractal_dimension/circle_counting_new/output4e8/misc/truncated_icosahedron.txt b/fractal_dimension/circle_counting_new/output4e8/misc/truncated_icosahedron.txt new file mode 100644 index 0000000..0db67d6 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/misc/truncated_icosahedron.txt @@ -0,0 +1,77 @@ +Counting circles +2% 24945m 59.04797717789188s remaining +3% 22892m 39.177824581973255s remaining +5% 22761m 57.66867397003807s remaining +7% 21717m 13.736510772025213s remaining +8% 21617m 13.938473789952695s remaining +10% 21448m 56.615854556905106s remaining +12% 20755m 37.492683470016345s remaining +13% 20167m 3.6815814808942378s remaining +15% 19667m 31.269087632885203s remaining +17% 19109m 7.602970940060914s remaining +18% 18707m 12.589243370108306s remaining +20% 18256m 37.94875357602723s remaining +22% 17957m 6.112235978944227s remaining +23% 17469m 37.79011486994568s remaining +25% 17157m 19.99511527805589s remaining +27% 16703m 5.293035294045694s remaining +28% 16310m 29.342208290006965s remaining +30% 15812m 58.527828054036945s remaining +32% 15441m 32.41039635299239s remaining +33% 14976m 15.545773589983582s remaining +35% 14636m 35.114349793992005s remaining +37% 14270m 36.60306259198114s remaining +38% 13934m 50.96430844801944s remaining +40% 13576m 21.07526182604488s remaining +42% 13164m 37.146246819989756s remaining +43% 12733m 58.55598603596445s remaining +45% 12345m 50.706408552941866s remaining +47% 11929m 53.763781195972115s remaining +48% 11562m 57.49382907699328s remaining +50% 11171m 54.32440561696421s remaining +52% 10815m 55.30811163003091s remaining +53% 10438m 1.507560575962998s remaining +55% 10056m 1.3204572739778087s remaining +57% 9658m 3.0209071110002697s remaining +58% 9288m 4.930328469956294s remaining +60% 8902m 57.523052492993884s remaining +62% 8540m 42.179761509993114s remaining +63% 8159m 15.02760088298237s remaining +65% 7806m 49.26015502598602s remaining +67% 7426m 52.88368003297364s remaining +68% 7056m 54.30307799699949s remaining +70% 6670m 15.88714018202154s remaining +72% 6305m 2.9455483200144954s remaining +73% 5924m 50.268500883015804s remaining +75% 5565m 18.589169978979044s remaining +77% 5194m 3.471225132991094s remaining +78% 4832m 25.190626967989374s remaining +80% 4459m 23.550250520987902s remaining +82% 4085m 40.81883055399521s remaining +83% 3705m 18.309399410994956s remaining +85% 3335m 6.9521919100079685s remaining +87% 2958m 15.063598684006138s remaining +88% 2591m 39.778457629989134s remaining +90% 2221m 58.15560925801401s remaining +92% 1853m 48.31929556799878s remaining +93% 1483m 55.941587847002666s remaining +95% 1111m 41.32142017100705s remaining +97% 739m 58.941439649999666s remaining +98% 369m 46.156259505998605s remaining + +Took 22162m 48.68115376890637s 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: +[152571844325, 155082855061, 157609995766, 160153265054, 162712813105, 165288244535, 167879681116, 170487194669, 173110568556, 175749638511, 178404690918, 181075416220, 183761858149, 186463964903, 189181741485, 191915085416, 194663876736, 197428146133, 200207890759, 203003005165, 205813541188, 208639300722, 211480366988, 214336555539, 217207898827, 220094460047, 222996066550, 225912715514, 228844299852, 231790966409, 234752500163, 237728867256, 240720221480, 243726373732, 246747228469, 249782866824, 252833254956, 255898290623, 258977842809, 262072039916, 265180770841, 268304102508, 271441869035, 274593948727, 277760543106, 280941436420, 284136716531, 287346235526, 290570116079, 293808283148, 297060598705, 300327083696, 303607777171, 306902481597, 310211309997, 313534124539, 316871081269, 320221955917, 323586827051, 326965583618, 330358344215, 333764952460, 337185307344, 340619579696, 344067583684, 347529394289, 351004859910, 354494075501, 357996830088, 361513268680, 365043253818, 368586880981, 372144150087, 375714881233, 379299158671, 382896893949, 386508198578, 390132719153, 393770720829, 397422126337, 401086889210, 404764936307, 408456154496, 412160777954, 415878625196, 419609664672, 423353853136, 427111357808, 430882074583, 434665843381, 438462864048, 442272741439, 446095770346, 449931743374, 453780749465, 457642728400, 461517640597, 465405529414, 469306459847, 473220349665] + +Built regression model! +Model info: + r^2: 0.9999999999983188 + p-value: 0 + intercept: -5.933508160842159 + slope: 1.6568069934615224 +Fractal dimension: 1.6568069934615224 diff --git a/fractal_dimension/circle_counting_new/output4e8/platonic_solids/cube.txt b/fractal_dimension/circle_counting_new/output4e8/platonic_solids/cube.txt new file mode 100644 index 0000000..f518ac1 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/platonic_solids/cube.txt @@ -0,0 +1,25 @@ +Counting circles +13% 748m 51.7297028039975s remaining +25% 642m 24.64527251599793s remaining +38% 535m 17.026333092999266s remaining +50% 428m 10.026220202998957s remaining +63% 321m 5.6546421499988355s remaining +75% 214m 1.758890278999388s remaining +88% 106m 59.79891451799995s remaining + +Took 855m 49.0337315259967s 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: +[35906602207, 36434109480, 36964073767, 37496480132, 38031395022, 38568774706, 39108607054, 39650883090, 40195592661, 40742648350, 41292115006, 41843925993, 42398158416, 42954738636, 43513630354, 44074883828, 44638466848, 45204356878, 45772546437, 46343020201, 46915822232, 47490868159, 48068251351, 48647878325, 49229750402, 49813795668, 50400049073, 50988652977, 51579414070, 52172355448, 52767583808, 53364915494, 53964424003, 54566084912, 55169938172, 55775995191, 56384152308, 56994459739, 57606858678, 58221363262, 58838056865, 59456834092, 60077689374, 60700592344, 61325589458, 61952613851, 62581805481, 63213048335, 63846331805, 64481649058, 65119023676, 65758466900, 66399860672, 67043271659, 67688707598, 68336128862, 68985546583, 69636954200, 70290324599, 70945745594, 71603103189, 72262419047, 72923680566, 73586894203, 74252140872, 74919188594, 75588183516, 76259120630, 76932045422, 77606827304, 78283537407, 78962179586, 79642635389, 80325031537, 81009325035, 81695442668, 82383454351, 83073321304, 83765157050, 84458754444, 85154203132, 85851527917, 86550628304, 87251639480, 87954457844, 88659081987, 89365556530, 90073879470, 90783995100, 91495854618, 92209580226, 92925094658, 93642439695, 94361543588, 95082354628, 95805010142, 96529470180, 97255669370, 97983706215, 98713451139] + +Built regression model! +Model info: + r^2: 0.9999999999722569 + p-value: 0 + intercept: -4.0037989283362165 + slope: 1.4802506100223891 +Fractal dimension: 1.4802506100223891 diff --git a/fractal_dimension/circle_counting_new/output4e8/platonic_solids/dodecahedron.txt b/fractal_dimension/circle_counting_new/output4e8/platonic_solids/dodecahedron.txt new file mode 100644 index 0000000..6c09aea --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/platonic_solids/dodecahedron.txt @@ -0,0 +1,37 @@ +Counting circles +5% 4412m 52.487909139017574s remaining +10% 4178m 59.33542023599148s remaining +15% 3945m 20.08652190299472s remaining +20% 3715m 29.00138628401328s remaining +25% 3482m 34.229237324994756s remaining +30% 3250m 24.022518062993186s remaining +35% 3018m 17.851563920004992s remaining +40% 2786m 31.034124755999073s remaining +45% 2554m 10.588457419013139s remaining +50% 2322m 8.612197011010721s remaining +55% 2089m 49.18959115499456s remaining +60% 1857m 41.63111821599887s remaining +65% 1625m 30.95910539799661s remaining +70% 1393m 15.334471020003548s remaining +75% 1161m 3.1510483440069947s remaining +80% 928m 54.00027532900276s remaining +85% 696m 37.891775433003204s remaining +90% 464m 27.06844446299874s remaining +95% 232m 13.873848093999186s remaining + +Took 4645m 9.884494431025814s 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: +[86829372093, 88205705901, 89590113848, 90982450921, 92382916045, 93791374131, 95207780138, 96631999172, 98064105207, 99504137148, 100951972233, 102407632202, 103871017421, 105342180467, 106820988942, 108307581189, 109801796290, 111303678639, 112813126387, 114330184928, 115854776872, 117386937061, 118926611355, 120473710876, 122028253858, 123590283484, 125159693484, 126736548276, 128320674298, 129912133679, 131510888863, 133117000984, 134730374146, 136351007364, 137978805973, 139613911757, 141256171341, 142905567492, 144562134005, 146225777510, 147896489908, 149574279275, 151259217060, 152951240113, 154650172739, 156356153739, 158069175378, 159789157339, 161516062321, 163249799333, 164990547814, 166738177703, 168492637386, 170253923483, 172022078583, 173797022218, 175578839320, 177367348960, 179162623284, 180964691452, 182773439918, 184588885074, 186411037865, 188239855668, 190075369307, 191917424672, 193766175295, 195621580938, 197483532172, 199352056196, 201227160273, 203108851536, 204997041666, 206891757787, 208792965870, 210700734753, 212614893524, 214535540137, 216462597333, 218396140250, 220336105365, 222282453878, 224235207689, 226194325292, 228159813028, 230131682065, 232109824724, 234094251363, 236085001496, 238082102678, 240085477305, 242095147328, 244111072214, 246133136012, 248161460556, 250195920576, 252236658874, 254283530216, 256336586015, 258395756038] + +Built regression model! +Model info: + r^2: 0.9999999999969763 + p-value: 0 + intercept: -5.338978792307913 + slope: 1.596242568458158 +Fractal dimension: 1.596242568458158 diff --git a/fractal_dimension/circle_counting_new/output4e8/platonic_solids/icosahedron.txt b/fractal_dimension/circle_counting_new/output4e8/platonic_solids/icosahedron.txt new file mode 100644 index 0000000..f58482e --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/platonic_solids/icosahedron.txt @@ -0,0 +1,29 @@ +Counting circles +8% 776m 56.94886168099765s remaining +17% 709m 39.23008608500095s remaining +25% 645m 8.478119427003548s remaining +33% 580m 28.87327054599882s remaining +42% 511m 35.392853391000244s remaining +50% 440m 42.078029192998656s remaining +58% 366m 56.768843295001716s remaining +67% 292m 8.24896811600047s remaining +75% 218m 16.88048096700004s remaining +83% 145m 4.416932423000617s remaining +92% 72m 21.29799496400028s remaining + +Took 866m 25.121333219001826s 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: +[10907882780, 11056432995, 11205532066, 11355172264, 11505359973, 11656072471, 11807299494, 11959058402, 12111377801, 12264206385, 12417543919, 12571422397, 12725796254, 12880698662, 13036099110, 13191978010, 13348392567, 13505281528, 13662666533, 13820565650, 13978936946, 14137798615, 14297149828, 14456996728, 14617312888, 14778110547, 14939386369, 15101113697, 15263329517, 15426007900, 15589175629, 15752812066, 15916887077, 16081436483, 16246435459, 16411904646, 16577816653, 16744197004, 16911018878, 17078287568, 17245967316, 17414116511, 17582686598, 17751709904, 17921190994, 18091068741, 18261401414, 18432164896, 18603385488, 18775002780, 18947061208, 19119541942, 19292460269, 19465786357, 19639552860, 19813740337, 19988331429, 20163311222, 20338729583, 20514545174, 20690774908, 20867431873, 21044484018, 21221913459, 21399751890, 21578007457, 21756689691, 21935751951, 22115224496, 22295065864, 22475331089, 22655993461, 22837029032, 23018421959, 23200217856, 23382400889, 23565017328, 23747993865, 23931347618, 24115077927, 24299222062, 24483708271, 24668587158, 24853855810, 25039484270, 25225509939, 25411894406, 25598662988, 25785815505, 25973318161, 26161161897, 26349394957, 26537994633, 26726945480, 26916262692, 27105972956, 27296021541, 27486421712, 27677175259, 27868299029] + +Built regression model! +Model info: + r^2: 0.9999999995591939 + p-value: 0 + intercept: -3.1433527955789486 + slope: 1.3729565158086572 +Fractal dimension: 1.3729565158086572 diff --git a/fractal_dimension/circle_counting_new/output4e8/platonic_solids/octahedron.txt b/fractal_dimension/circle_counting_new/output4e8/platonic_solids/octahedron.txt new file mode 100644 index 0000000..6ec2ec6 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/platonic_solids/octahedron.txt @@ -0,0 +1,23 @@ +Counting circles +17% 197m 15.458115659999748s remaining +33% 157m 47.75783947799937s remaining +50% 118m 26.76108453500001s remaining +67% 78m 56.917110946999856s remaining +83% 39m 28.404559554000116s remaining + +Took 236m 51.74225298199963s 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: +[8005227301, 8111244213, 8217597554, 8324327771, 8431378685, 8538773902, 8646509293, 8754587951, 8862985328, 8971710487, 9080775763, 9190161525, 9299872646, 9409946763, 9520326206, 9631005968, 9742021914, 9853335587, 9964999515, 10076992004, 10189259959, 10301879339, 10414767225, 10527993200, 10641508957, 10755327813, 10869475420, 10983921608, 11098647956, 11213708673, 11329039908, 11444690694, 11560639067, 11676834787, 11793352123, 11910170677, 12027271900, 12144645732, 12262308507, 12380281871, 12498502763, 12616999080, 12735758364, 12854815814, 12974149965, 13093766164, 13213625325, 13333761605, 13454177771, 13574889182, 13695893481, 13817165573, 13938704640, 14060481106, 14182515631, 14304831629, 14427420686, 14550260297, 14673383104, 14796703271, 14920307403, 15044184198, 15168306991, 15292726093, 15417373975, 15542244793, 15667402236, 15792785079, 15918449809, 16044351695, 16170477818, 16296861590, 16423505093, 16550418862, 16677547844, 16804940962, 16932548183, 17060437779, 17188566193, 17316932395, 17445514847, 17574343415, 17703414546, 17832731349, 17962272072, 18092031887, 18222012364, 18352247540, 18482724350, 18613460055, 18744379877, 18875561381, 19006928047, 19138554717, 19270404988, 19402508298, 19534795655, 19667338626, 19800101401, 19933103590] + +Built regression model! +Model info: + r^2: 0.9999999997364063 + p-value: 0 + intercept: -2.732973011859677 + slope: 1.3353181196497264 +Fractal dimension: 1.3353181196497264 diff --git a/fractal_dimension/circle_counting_new/output4e8/platonic_solids/tetrahedron.txt b/fractal_dimension/circle_counting_new/output4e8/platonic_solids/tetrahedron.txt new file mode 100644 index 0000000..e69de29 diff --git a/fractal_dimension/circle_counting_new/output4e8/prisms/decagonal_prism.txt b/fractal_dimension/circle_counting_new/output4e8/prisms/decagonal_prism.txt new file mode 100644 index 0000000..4ab9d15 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/prisms/decagonal_prism.txt @@ -0,0 +1,37 @@ +Counting circles +5% 3818m 44.813089308998315s remaining +10% 3523m 26.9152391369862s remaining +15% 3248m 36.62259796098806s remaining +20% 2991m 42.69616336800391s remaining +25% 2757m 44.699809482001s remaining +30% 2550m 7.363066768011777s remaining +35% 2364m 41.688205721002305s remaining +40% 2193m 15.88775611500023s remaining +45% 2026m 58.511879572004545s remaining +50% 1857m 37.20357091299957s remaining +55% 1680m 55.77708930999506s remaining +60% 1496m 28.683646321995184s remaining +65% 1306m 29.54814142899704s remaining +70% 1114m 38.72752449900145s remaining +75% 924m 2.946046388002287s remaining +80% 739m 4.4833712030012975s remaining +85% 555m 27.18373543099733s remaining +90% 372m 0.03476960799889639s remaining +95% 187m 1.6506811399995058s remaining + +Took 3752m 37.57134897701326s 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: +[70988064807, 72088184639, 73194328231, 74306556102, 75424757478, 76549073017, 77679331744, 78815513017, 79957553992, 81105480883, 82259371701, 83419076508, 84584599990, 85755906036, 86933063772, 88115914010, 89304502452, 90498813086, 91698775950, 92904365031, 94115722406, 95332719521, 96555324925, 97783495100, 99017234075, 100256495624, 101501245890, 102751558861, 104007447748, 105268705502, 106535422737, 107807572684, 109085073723, 110368069332, 111656485919, 112950179534, 114249286103, 115553656507, 116863287922, 118178262140, 119498544394, 120824146077, 122154983013, 123490945926, 124832213039, 126178746695, 127530411924, 128887174995, 130249098661, 131616224791, 132988416444, 134365740343, 135748239603, 137135740176, 138528238749, 139925836810, 141328455141, 142736132962, 144148789759, 145566463970, 146989104251, 148416726118, 149849347936, 151286828436, 152729250880, 154176607114, 155628822940, 157085886584, 158547856555, 160014711908, 161486444548, 162963011424, 164444368091, 165930424055, 167421350737, 168917037000, 170417518633, 171922786253, 173432780443, 174947572825, 176467090179, 177991354874, 179520243017, 181053829849, 182592069944, 184134990335, 185682612312, 187234853746, 188791743007, 190353345259, 191919503090, 193490298823, 195065619012, 196645621840, 198230152474, 199819286197, 201412910779, 203011052079, 204613777101, 206221003478] + +Built regression model! +Model info: + r^2: 0.9999999999907642 + p-value: 0 + intercept: -4.865623869318206 + slope: 1.560957143386703 +Fractal dimension: 1.560957143386703 diff --git a/fractal_dimension/circle_counting_new/output4e8/prisms/heptagonal_prism.txt b/fractal_dimension/circle_counting_new/output4e8/prisms/heptagonal_prism.txt index e4b9fb5..3e67f15 100644 --- a/fractal_dimension/circle_counting_new/output4e8/prisms/heptagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output4e8/prisms/heptagonal_prism.txt @@ -6,3 +6,26 @@ 36% 1910m 44.1253346940066s remaining 43% 1699m 24.801336663993425s remaining 50% 1487m 42.459915223997086s remaining +57% 1269m 7.458454122999683s remaining +64% 1051m 14.54642266999872s remaining +71% 836m 54.51592832199822s remaining +79% 624m 57.70574462100194s remaining +86% 415m 10.498517254000035s remaining +93% 207m 16.17136034199939s remaining + +Took 2908m 24.72898543300107s 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: +[61541499204, 62484244153, 63432034326, 64384798344, 65342553051, 66305300057, 67273044940, 68245679585, 69223283631, 70205789381, 71193085216, 72185236047, 73182227133, 74184014427, 75190579776, 76201935018, 77218045094, 78238783521, 79264227320, 80294360049, 81329224009, 82368730058, 83412970824, 84461745604, 85515093410, 86573102583, 87635610045, 88702692738, 89774284677, 90850375766, 91931072974, 93016253863, 94105948198, 95200081118, 96298497250, 97401408329, 98508782858, 99620522813, 100736644466, 101857127631, 102981990048, 104111160542, 105244667972, 106382510755, 107524640490, 108671103540, 109821754567, 110976750546, 112135915905, 113299381826, 114467055382, 115638926315, 116815021174, 117995282791, 119179728784, 120368360433, 121561065090, 122757873874, 123958787046, 125163867010, 126373052559, 127586324946, 128803652682, 130025031992, 131250426390, 132479893430, 133713516127, 134951053630, 136192603495, 137438154440, 138687741696, 139941231558, 141198736157, 142460160771, 143725497979, 144994811735, 146268024527, 147545166503, 148826225977, 150111197899, 151400048135, 152692749532, 153989297835, 155289722102, 156593944690, 157901974082, 159213920763, 160529695647, 161849192059, 163172489952, 164499598819, 165830565699, 167165226396, 168503682538, 169845892107, 171191825817, 172541480888, 173894912620, 175251978973, 176612794464] + +Built regression model! +Model info: + r^2: 0.9999999999922482 + p-value: 0 + intercept: -4.667111251480307 + slope: 1.5431097480766467 +Fractal dimension: 1.5431097480766467 diff --git a/fractal_dimension/circle_counting_new/output4e8/prisms/octagonal_prism.txt b/fractal_dimension/circle_counting_new/output4e8/prisms/octagonal_prism.txt new file mode 100644 index 0000000..9acb1f5 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/prisms/octagonal_prism.txt @@ -0,0 +1,33 @@ +Counting circles +6% 2764m 40.36418137498549s remaining +13% 2538m 48.35604060901096s remaining +19% 2329m 41.51571556000272s remaining +25% 2130m 6.225642524994328s remaining +31% 1942m 44.48743884099531s remaining +38% 1763m 55.37202766799601s remaining +44% 1588m 50.809152590998565s remaining +50% 1414m 22.67111716499494s remaining +56% 1238m 24.265145452998695s remaining +63% 1062m 3.095730207998713s remaining +69% 887m 13.672294548996433s remaining +75% 708m 15.043320557997504s remaining +81% 530m 15.894235878000472s remaining +88% 353m 19.060534386000654s remaining +94% 176m 43.12464529300087s remaining + +Took 2829m 45.38845466900966s 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: +[65530629662, 66539642142, 67554139028, 68574090420, 69599471264, 70630304943, 71666421554, 72708000121, 73754857329, 74806984187, 75864359392, 76927015998, 77994908311, 79068029025, 80146243270, 81229751191, 82318432108, 83412257649, 84511253585, 85615319240, 86724462034, 87838549452, 88957716648, 90081946832, 91211221934, 92345430361, 93484620684, 94628737729, 95777838661, 96931887368, 98090825776, 99254649034, 100423334968, 101596859760, 102775169080, 103958292245, 105146266668, 106339021487, 107536515679, 108738771813, 109945709357, 111157554495, 112373976712, 113595127392, 114820940307, 116051449336, 117286632251, 118526361263, 119770795961, 121019780852, 122273391186, 123531534210, 124794281829, 126061584266, 127333491081, 128609899024, 129890815791, 131176308490, 132466250103, 133760644751, 135059491703, 136362766949, 137670565813, 138982773519, 140299396619, 141620400164, 142945714509, 144275537476, 145609639471, 146948244846, 148291159708, 149638424939, 150989893625, 152345720675, 153705778914, 155070123144, 156438799103, 157811718206, 159188906753, 160570352564, 161956076211, 163345989606, 164740068483, 166138412890, 167540914653, 168947591240, 170358464608, 171773437981, 173192571668, 174615885911, 176043457527, 177474982020, 178910635431, 180350422329, 181794296363, 183242318982, 184694418463, 186150559512, 187610749127, 189075004900] + +Built regression model! +Model info: + r^2: 0.9999999999928869 + p-value: 0 + intercept: -4.754832241680695 + slope: 1.5509810018277892 +Fractal dimension: 1.5509810018277892 diff --git a/fractal_dimension/circle_counting_new/output4e8/prisms/triangular_prism.txt b/fractal_dimension/circle_counting_new/output4e8/prisms/triangular_prism.txt new file mode 100644 index 0000000..1d54d50 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output4e8/prisms/triangular_prism.txt @@ -0,0 +1,23 @@ +Counting circles +17% 255m 17.018753880000077s remaining +33% 204m 33.66806970200014s remaining +50% 153m 14.950513034000323s remaining +67% 102m 9.414966393000213s remaining +83% 51m 4.528329824000139s remaining + +Took 306m 37.53281207799955s 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: +[16416664283, 16645815924, 16875838987, 17106823066, 17338652832, 17571380937, 17804987850, 18039523082, 18274898630, 18511157965, 18748261006, 18986259770, 19225164527, 19464910536, 19705504558, 19946958660, 20189197192, 20432345073, 20676308310, 20921129476, 21166808628, 21413291242, 21660586088, 21908686056, 22157593296, 22407337501, 22657899703, 22909285875, 23161394969, 23414349787, 23668086876, 23922628985, 24177952509, 24434071909, 24690970692, 24948613156, 25207022359, 25466220140, 25726223240, 25986944300, 26248421560, 26510666952, 26773626428, 27037353367, 27301794749, 27567064276, 27832959173, 28099632201, 28367042850, 28635217250, 28904072143, 29173702625, 29444049520, 29715145454, 29986930157, 30259423512, 30532657151, 30806580790, 31081213573, 31356587413, 31632604879, 31909354881, 32186799202, 32464873754, 32743675991, 33023153092, 33303346857, 33584169240, 33865705139, 34147960556, 34430869379, 34714441504, 34998675735, 35283561700, 35569152347, 35855420880, 36142320962, 36429886145, 36718071715, 37006951973, 37296480571, 37586656234, 37877492798, 38168943099, 38461035033, 38753795168, 39047194845, 39341201599, 39635884444, 39931184710, 40227156201, 40523748426, 40820983867, 41118800020, 41417255668, 41716329112, 42016078702, 42316397607, 42617304671, 42918861222] + +Built regression model! +Model info: + r^2: 0.9999999998542517 + p-value: 0 + intercept: -3.378642239524332 + slope: 1.4066365714949982 +Fractal dimension: 1.4066365714949982 diff --git a/fractal_dimension/circle_counting_new/output5e8/misc/6v7f2.txt b/fractal_dimension/circle_counting_new/output5e8/misc/6v7f2.txt new file mode 100644 index 0000000..c6a83e7 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/misc/6v7f2.txt @@ -0,0 +1,23 @@ +Counting circles +17% 154m 25.031812884999454s remaining +33% 123m 37.35297026599983s remaining +50% 77m 17.62838534599996s remaining +67% 54m 41.74349207100022s remaining +83% 25m 0.974343097999963s remaining + +Took 157m 5.389502017000268s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[6515208445, 6601677999, 6688429058, 6775466135, 6862821901, 6950418245, 7038300842, 7126447563, 7214876190, 7303590668, 7392543527, 7481807455, 7571332751, 7661126439, 7751196567, 7841520629, 7932115650, 8022992200, 8114110067, 8205501362, 8297144660, 8389011842, 8481169542, 8573590470, 8666255937, 8759166138, 8852293192, 8945701823, 9039360694, 9133252229, 9227389676, 9321757036, 9416406681, 9511267836, 9606355525, 9701706662, 9797291214, 9893122014, 9989167764, 10085464635, 10181993619, 10278746939, 10375723484, 10472917023, 10570351622, 10668032844, 10765943422, 10864053257, 10962372584, 11060943761, 11159724582, 11258730896, 11357973961, 11457462204, 11557127046, 11657025529, 11757143008, 11857449481, 11957954735, 12058683766, 12159633919, 12260799584, 12362193544, 12463785403, 12565598683, 12667624243, 12769847698, 12872286322, 12974940846, 13077782712, 13180810196, 13284058952, 13387527859, 13491186602, 13595049210, 13699108861, 13803388831, 13907873117, 14012557532, 14117421413, 14222462398, 14327690613, 14433122732, 14538757574, 14644593571, 14750629092, 14856857242, 14963276504, 15069888763, 15176662952, 15283629362, 15390802571, 15498181832, 15605753304, 15713495192, 15821427230, 15929542366, 16037872903, 16146361476, 16255049981] + +Built regression model! +Model info: + r^2: 0.9999999999104777 + p-value: 0 + intercept: -3.2929435944498806 + slope: 1.3382152524081246 +Fractal dimension: 1.3382152524081246 diff --git a/fractal_dimension/circle_counting_new/output5e8/misc/truncated_icosahedron.txt b/fractal_dimension/circle_counting_new/output5e8/misc/truncated_icosahedron.txt new file mode 100644 index 0000000..c005495 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/misc/truncated_icosahedron.txt @@ -0,0 +1,50 @@ +Counting circles +2% 34023m 44.28666542307474s remaining +3% 31598m 1.0335939261130989s remaining +5% 31223m 33.278556562028825s remaining +7% 29734m 25.78724782797508s remaining +8% 29522m 16.418777969898656s remaining +10% 29240m 0.1739081940613687s remaining +12% 28333m 6.417655848897994s remaining +13% 27518m 28.569265147903934s remaining +15% 26963m 47.51266661309637s remaining +17% 26348m 24.89131634007208s remaining +18% 25911m 48.06778738810681s remaining +20% 25419m 6.267052280018106s remaining +22% 25040m 50.9257206779439s remaining +23% 24422m 8.199535567080602s remaining +25% 24033m 35.09617382707074s remaining +27% 23440m 33.10855526593514s remaining +28% 22925m 9.593240544898435s remaining +30% 22256m 46.41412621294148s remaining +32% 21758m 5.9630535710603s remaining +33% 21131m 40.307244709925726s remaining +35% 20661m 26.263213478960097s remaining +37% 20128m 13.944005934055895s remaining +38% 19643m 2.3806721169967204s remaining +40% 19119m 22.082598343025893s remaining +42% 18526m 56.8886978700757s remaining +43% 17915m 21.757720625028014s remaining +45% 17348m 30.262938103056513s remaining +47% 16763m 53.937170324032195s remaining +48% 16245m 59.73652767401654s remaining +50% 15696m 2.5351634450489655s remaining +52% 15193m 14.818868117989041s remaining +53% 14660m 49.59742266696412s remaining +55% 14124m 21.300397326005623s remaining +57% 13566m 39.70092971099075s remaining +58% 13046m 10.005046191974543s remaining +60% 12505m 27.996505173970945s remaining +62% 11995m 6.753519405028783s remaining +63% 11452m 30.330452766967937s remaining +65% 10947m 52.79632123594638s remaining +67% 10414m 42.94162982504349s remaining +68% 9895m 43.22792988002766s remaining +70% 9354m 42.2819159750361s remaining +72% 8841m 55.79721167101525s remaining +73% 8309m 8.982763102976605s remaining +75% 7804m 15.258686680987012s remaining +77% 7280m 46.32581667799968s remaining +78% 6773m 8.370953398989514s remaining +80% 6250m 19.207810227002483s remaining +82% 5726m 33.90881371399155s remaining diff --git a/fractal_dimension/circle_counting_new/output5e8/platonic_solids/cube.txt b/fractal_dimension/circle_counting_new/output5e8/platonic_solids/cube.txt new file mode 100644 index 0000000..d78b9f3 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/platonic_solids/cube.txt @@ -0,0 +1,25 @@ +Counting circles +13% 984m 39.10111606300052s remaining +25% 844m 8.585913690003508s remaining +38% 703m 49.15410818999953s remaining +50% 563m 2.976197850999597s remaining +63% 422m 19.267338337998808s remaining +75% 281m 33.62644269199882s remaining +88% 140m 46.768449868999596s remaining + +Took 1126m 11.136940643002163s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[49960172961, 50694037074, 51431529132, 52172355448, 52916707286, 53664362509, 54415452982, 55169938172, 55927833709, 56689023150, 57453567116, 58221363262, 58992548396, 59766965879, 60544636008, 61325589458, 62109697654, 62897163720, 63687823653, 64481649058, 65278705856, 66078911767, 66882245978, 67688707598, 68498320903, 69311016096, 70126806170, 70945745594, 71767733293, 72592782187, 73420916667, 74252140872, 75086247459, 75923429981, 76763654233, 77606827304, 78453034407, 79302174345, 80154272406, 81009325035, 81867267511, 82728120334, 83592032788, 84458754444, 85328372659, 86200830445, 87076213683, 87954457844, 88835507614, 89719490132, 90606335774, 91495854618, 92388261421, 93283559990, 94181603559, 95082354628, 95985996861, 96892350819, 97801548481, 98713451139, 99628086173, 100545458709, 101465582271, 102388480691, 103313990221, 104242164404, 105173073786, 106106571493, 107042916805, 107981799243, 108923398234, 109867564587, 110814488551, 111763929189, 112716005285, 113670741961, 114628109989, 115588088658, 116550619691, 117515734038, 118483369575, 119453596046, 120426512898, 121401895832, 122379838856, 123360233968, 124343316252, 125328881431, 126316919485, 127307457874, 128300557391, 129296093220, 130294104266, 131294726607, 132297751212, 133303192519, 134311194515, 135321705617, 136334520510, 137349853966] + +Built regression model! +Model info: + r^2: 0.9999999999806262 + p-value: 0 + intercept: -4.003865795082838 + slope: 1.4802540165320217 +Fractal dimension: 1.4802540165320217 diff --git a/fractal_dimension/circle_counting_new/output5e8/platonic_solids/dodecahedron.txt b/fractal_dimension/circle_counting_new/output5e8/platonic_solids/dodecahedron.txt new file mode 100644 index 0000000..d62c4db --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/platonic_solids/dodecahedron.txt @@ -0,0 +1,37 @@ +Counting circles +5% 5967m 0.6854010439710692s remaining +10% 5637m 17.262610415986273s remaining +15% 5317m 19.10869520599954s remaining +20% 5004m 39.0331893680268s remaining +25% 4701m 10.837474887026474s remaining +30% 4387m 18.952244520012755s remaining +35% 4074m 4.3467795230099s remaining +40% 3772m 0.21423497798969038s remaining +45% 3459m 58.68275797800743s remaining +50% 3148m 30.434435678005684s remaining +55% 2840m 16.789248596993275s remaining +60% 2523m 7.129662491002819s remaining +65% 2206m 24.73640596700716s remaining +70% 1890m 3.1487651689967606s remaining +75% 1574m 17.28508882499591s remaining +80% 1258m 58.36074362399813s remaining +85% 943m 53.076541123002244s remaining +90% 629m 0.3540476209964254s remaining +95% 314m 22.319471088998398s remaining + +Took 6285m 24.201856066007167s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[123981938690, 125947203885, 127923983499, 129912133679, 131911734907, 133922815170, 135945200152, 137978805973, 140023783589, 142079976786, 144147353644, 146225777510, 148315276636, 150415840204, 152527593727, 154650172739, 156783775553, 158928309433, 161083698271, 163249799333, 165426780700, 167614532347, 169812966268, 172022078583, 174241820361, 176472212143, 178713134963, 180964691452, 183226692080, 185499144931, 187782051081, 190075369307, 192379001494, 194693062421, 197017436529, 199352056196, 201696968857, 204052126339, 206417475201, 208792965870, 211178653092, 213574358051, 215980229942, 218396140250, 220822065387, 223258002950, 225703942439, 228159813028, 230625651529, 233101226909, 235586729823, 238082102678, 240587287502, 243102334179, 245627053801, 248161460556, 250705560954, 253259334767, 255822716390, 258395756038, 260978408023, 263570635783, 266172423280, 268783806991, 271404613089, 274034995672, 276674809450, 279324107900, 281982738221, 284650797201, 287328268900, 290015130717, 292711275834, 295416643504, 298131355510, 300855352231, 303588650597, 306331203918, 309082909686, 311843772081, 314613770124, 317392944180, 320181174385, 322978581687, 325785010592, 328600474256, 331425049482, 334258527556, 337101078354, 339952673844, 342813198036, 345682700243, 348560973147, 351448236609, 354344421223, 357249435568, 360163306509, 363085958322, 366017414351, 368957746207] + +Built regression model! +Model info: + r^2: 0.9999999999973012 + p-value: 0 + intercept: -5.33896280452155 + slope: 1.5962417471271855 +Fractal dimension: 1.5962417471271855 diff --git a/fractal_dimension/circle_counting_new/output5e8/platonic_solids/icosahedron.txt b/fractal_dimension/circle_counting_new/output5e8/platonic_solids/icosahedron.txt new file mode 100644 index 0000000..d2537b7 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/platonic_solids/icosahedron.txt @@ -0,0 +1,29 @@ +Counting circles +8% 1039m 14.719739081003354s remaining +17% 944m 2.618577834997268s remaining +25% 850m 20.047768331998668s remaining +33% 755m 52.18423375800194s remaining +42% 665m 0.8977819819992874s remaining +50% 571m 14.915444771999319s remaining +58% 475m 27.010115100001713s remaining +67% 379m 59.79396771200118s remaining +75% 284m 46.53362105400083s remaining +83% 189m 44.06339918000049s remaining +92% 94m 49.98993648400028s remaining + +Took 1137m 58.45023444699473s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[14818385571, 15020196778, 15222734591, 15426007900, 15630032750, 15834792437, 16040264557, 16246435459, 16453342290, 16660945413, 16869273666, 17078287568, 17287967865, 17498338348, 17709416617, 17921190994, 18133605162, 18346726671, 18560550654, 18775002780, 18990147555, 19205947148, 19422415849, 19639552860, 19857350130, 20075761329, 20294832975, 20514545174, 20734896200, 20955891597, 21177520485, 21399751890, 21622639964, 21846176630, 22070315882, 22295065864, 22520470370, 22746468084, 22973042808, 23200217856, 23428019346, 23656456436, 23885466602, 24115077927, 24345305101, 24576096614, 24807507005, 25039484270, 25272067286, 25505231407, 25738994719, 25973318161, 26208189415, 26443652652, 26679677252, 26916262692, 27153446568, 27391173974, 27629459625, 27868299029, 28107737199, 28347720020, 28588246885, 28829318869, 29070952006, 29313134415, 29555845147, 29799117116, 30042937475, 30287285896, 30532164939, 30777574600, 31023515029, 31269986109, 31516996469, 31764527619, 32012576716, 32261150056, 32510255742, 32759874614, 33010025828, 33260689855, 33511859034, 33763543982, 34015736216, 34268467363, 34521694434, 34775405998, 35029631000, 35284369926, 35539626623, 35795358726, 36051597017, 36308342641, 36565564265, 36823294830, 37081482796, 37340209582, 37599437679, 37859113288] + +Built regression model! +Model info: + r^2: 0.9999999997753742 + p-value: 0 + intercept: -3.1430963461130474 + slope: 1.3729435268593073 +Fractal dimension: 1.3729435268593073 diff --git a/fractal_dimension/circle_counting_new/output5e8/platonic_solids/octahedron.txt b/fractal_dimension/circle_counting_new/output5e8/platonic_solids/octahedron.txt new file mode 100644 index 0000000..2dcc814 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/platonic_solids/octahedron.txt @@ -0,0 +1,23 @@ +Counting circles +17% 248m 4.432717089999642s remaining +33% 198m 11.931172798000262s remaining +50% 148m 32.261323136999636s remaining +67% 99m 0.09366773900001135s remaining +83% 49m 31.468381056999988s remaining + +Took 297m 14.281861854000454s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[10783831573, 10926646498, 11069931543, 11213708673, 11357922802, 11502616995, 11647752935, 11793352123, 11939410119, 12085921737, 12232851276, 12380281871, 12528095858, 12676338753, 12825027856, 12974149965, 13123708946, 13273658878, 13424041966, 13574889182, 13726186197, 13877910253, 14030015223, 14182515631, 14335450746, 14488814572, 14642580564, 14796703271, 14951243138, 15106202014, 15261596463, 15417373975, 15573505969, 15730057465, 15887016975, 16044351695, 16202042516, 16360154473, 16518666148, 16677547844, 16836819339, 16996448350, 17156507677, 17316932395, 17477695719, 17638839806, 17800389509, 17962272072, 18124512999, 18287126529, 18450086344, 18613460055, 18777157837, 18941222251, 19105619516, 19270404988, 19435556229, 19601048952, 19766882295, 19933103590, 20099638720, 20266552261, 20433821813, 20601422075, 20769312102, 20937543942, 21106137597, 21275062087, 21444300224, 21613856893, 21783789246, 21954039393, 22124588258, 22295507695, 22466690893, 22638265092, 22810203307, 22982450517, 23154996161, 23327869054, 23501062053, 23674555688, 23848439044, 24022603094, 24197065601, 24371883613, 24547007830, 24722474525, 24898258254, 25074330424, 25250742353, 25427435320, 25604436278, 25781748865, 25959353131, 26137248027, 26315467638, 26494010956, 26672862159, 26851992565] + +Built regression model! +Model info: + r^2: 0.9999999996411137 + p-value: 0 + intercept: -2.733039888063047 + slope: 1.335321519346331 +Fractal dimension: 1.335321519346331 diff --git a/fractal_dimension/circle_counting_new/output5e8/platonic_solids/tetrahedron.txt b/fractal_dimension/circle_counting_new/output5e8/platonic_solids/tetrahedron.txt new file mode 100644 index 0000000..e69de29 diff --git a/fractal_dimension/circle_counting_new/output5e8/prisms/decagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e8/prisms/decagonal_prism.txt new file mode 100644 index 0000000..7c89975 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/prisms/decagonal_prism.txt @@ -0,0 +1,37 @@ +Counting circles +5% 5288m 46.41435552202165s remaining +10% 4925m 45.781691072974354s remaining +15% 4557m 38.36874979297863s remaining +20% 4206m 36.69275296400883s remaining +25% 3883m 49.37320670101326s remaining +30% 3594m 40.30491165901185s remaining +35% 3335m 11.860572102013975s remaining +40% 3094m 36.731707806990016s remaining +45% 2860m 7.4814103599928785s remaining +50% 2621m 19.41220651898766s remaining +55% 2372m 17.279000917013036s remaining +60% 2112m 17.688492039000266s remaining +65% 1844m 36.85878619000141s remaining +70% 1574m 8.022572799993213s remaining +75% 1305m 25.3979977209965s remaining +80% 1040m 36.52857937299996s remaining +85% 779m 37.497547714003304s remaining +90% 520m 35.569990710999264s remaining +95% 261m 10.67216686500069s remaining + +Took 5243m 44.419607380987145s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[100567163814, 102125697004, 103692986966, 105268705502, 106852951452, 108445661771, 110046812429, 111656485919, 113274499100, 114900800982, 116535365302, 118178262140, 119829426010, 121488920921, 123156465135, 124832213039, 126516167950, 128208178420, 129908111019, 131616224791, 133332259569, 135056382987, 136788396743, 138528238749, 140276032860, 142031634424, 143795157990, 145566463970, 147345552028, 149132400021, 150927010028, 152729250880, 154539214706, 156356766825, 158181930242, 160014711908, 161855158899, 163703101172, 165558456624, 167421350737, 169291718694, 171169550950, 173054850290, 174947572825, 176847711944, 178755219072, 180670002804, 182592069944, 184521444520, 186458158545, 188402096591, 190353345259, 192311748273, 194277379934, 196250179045, 198230152474, 200217277349, 202211412377, 204212666318, 206221003478, 208236389333, 210258803626, 212288231567, 214324718432, 216368244051, 218418609821, 220475899864, 222540157677, 224611313536, 226689376927, 228774328435, 230866035487, 232964743943, 235070235664, 237182466480, 239301454372, 241427202999, 243559632431, 245698848848, 247844851452, 249997413625, 252156723693, 254322740674, 256495348301, 258674632824, 260860560343, 263053063936, 265252151362, 267457822687, 269670079767, 271888762553, 274114006116, 276345737654, 278584115668, 280828859527, 283080028678, 285337721341, 287601842812, 289872430159, 292149367569] + +Built regression model! +Model info: + r^2: 0.9999999999939341 + p-value: 0 + intercept: -4.865561862885066 + slope: 1.5609539758560698 +Fractal dimension: 1.5609539758560698 diff --git a/fractal_dimension/circle_counting_new/output5e8/prisms/heptagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e8/prisms/heptagonal_prism.txt new file mode 100644 index 0000000..75bbf88 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/prisms/heptagonal_prism.txt @@ -0,0 +1,31 @@ +Counting circles +7% 3082m 33.10542989798705s remaining +14% 2839m 53.269256742001744s remaining +21% 2608m 36.0747946180054s remaining +29% 2387m 8.849610251985723s remaining +36% 2144m 28.553648208995583s remaining +43% 1904m 50.2549489410012s remaining +50% 1666m 9.959023364004679s remaining +57% 1428m 15.540493534994312s remaining +64% 1196m 45.45089409699722s remaining +71% 958m 5.495778060998418s remaining +79% 717m 25.101926169998478s remaining +86% 477m 45.758023759000935s remaining +93% 238m 44.00798750700051s remaining + +Took 3341m 6.857302793010604s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[86838270037, 88168574772, 89505941815, 90850375766, 92201932462, 93560576042, 94926122347, 96298497250, 97677843377, 99064145782, 100457192274, 101857127631, 103263843740, 104677364742, 106097670444, 107524640490, 108958378578, 110398729286, 111845698473, 113299381826, 114759633856, 116226450095, 117699809989, 119179728784, 120666145250, 122159000699, 123658183952, 125163867010, 126675992764, 128194495642, 129719321804, 131250426390, 132787917893, 134331767587, 135881832692, 137438154440, 139000714830, 140569454598, 142144406883, 143725497979, 145312736500, 146906104609, 148505607919, 150111197899, 151722845673, 153340533330, 154964218666, 156593944690, 158229599523, 159871351425, 161518985765, 163172489952, 164831998566, 166497438591, 168168689285, 169845892107, 171528882751, 173217738462, 174912364284, 176612794464, 178318985582, 180030949241, 181748618802, 183472073038, 185201168740, 186936069044, 188676592786, 190422900862, 192174768229, 193932281276, 195695505087, 197464212584, 199238579625, 201018476205, 202803909830, 204594921799, 206391529444, 208193675717, 210001263251, 211814379261, 213632997886, 215457051235, 217286552979, 219121477312, 220961892826, 222807687666, 224658953803, 226515515280, 228377440801, 230244718052, 232117335435, 233995314201, 235878591306, 237767126652, 239661013213, 241560177965, 243464664859, 245374381889, 247289328992, 249209519747] + +Built regression model! +Model info: + r^2: 0.999999999996957 + p-value: 0 + intercept: -4.667076968726285 + slope: 1.5431079985224438 +Fractal dimension: 1.5431079985224438 diff --git a/fractal_dimension/circle_counting_new/output5e8/prisms/hexagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e8/prisms/hexagonal_prism.txt new file mode 100644 index 0000000..88ae957 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/prisms/hexagonal_prism.txt @@ -0,0 +1,29 @@ +Counting circles +8% 2437m 30.349904956005048s remaining +17% 2241m 7.032347039988963s remaining +25% 2049m 42.47242823400302s remaining +33% 1836m 9.654560466005933s remaining +42% 1609m 46.64740691499901s remaining +50% 1371m 2.049104563004221s remaining +58% 1137m 17.88574636100384s remaining +67% 909m 46.515124937999644s remaining +75% 681m 24.51810061300057s remaining +83% 453m 19.47263318700061s remaining +92% 226m 9.595966083999883s remaining + +Took 2709m 19.54451768301078s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[78945801438, 80146104096, 81352692803, 82565402106, 83784468813, 85009643991, 86240992921, 87478485784, 88722130204, 89971878531, 91227582283, 92489334019, 93757074150, 95030700840, 96310384736, 97596057633, 98887623676, 100185014690, 101488320087, 102797448619, 104112316300, 105433095954, 106759617516, 108091864350, 109429772850, 110773454302, 112122805430, 113477816695, 114838412083, 116204652276, 117576459336, 118953888761, 120336888541, 121725378046, 123119397868, 124518849952, 125923841467, 127334387976, 128750261406, 130171638296, 131598414441, 133030545672, 134468080822, 135910982555, 137359179769, 138812679927, 140271461374, 141735520871, 143204918852, 144679476643, 146159302755, 147644443236, 149134769183, 150630274021, 152130911695, 153636707986, 155147660104, 156663727765, 158184916168, 159711237288, 161242559932, 162778987926, 164320418109, 165866828811, 167418337771, 168974806418, 170536322882, 172102875340, 173674288295, 175250718152, 176832141250, 178418411818, 180009575306, 181605661795, 183206624597, 184812414070, 186423183746, 188038691825, 189658991816, 191284157021, 192914125291, 194548936864, 196188487155, 197832770612, 199481831643, 201135644360, 202794182758, 204457450342, 206125428568, 207798146459, 209475543368, 211157564758, 212844234298, 214535510006, 216231508375, 217932127229, 219637427171, 221347258473, 223061668296, 224780792103] + +Built regression model! +Model info: + r^2: 0.9999999999953951 + p-value: 0 + intercept: -4.539168668694451 + slope: 1.5315716259372687 +Fractal dimension: 1.5315716259372687 diff --git a/fractal_dimension/circle_counting_new/output5e8/prisms/nonagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e8/prisms/nonagonal_prism.txt index c9d2ac5..11aab5b 100644 --- a/fractal_dimension/circle_counting_new/output5e8/prisms/nonagonal_prism.txt +++ b/fractal_dimension/circle_counting_new/output5e8/prisms/nonagonal_prism.txt @@ -4,3 +4,32 @@ 17% 4907m 20.05380068998784s remaining 22% 4525m 57.30978531000437s remaining 28% 4172m 9.410352723003598s remaining +33% 3831m 27.689929705986287s remaining +39% 3492m 34.451563935988816s remaining +44% 3170m 52.54356476300745s remaining +50% 2852m 58.187901022000005s remaining +56% 2546m 7.895936787012033s remaining +61% 2223m 21.21572434398695s remaining +67% 1896m 9.474067300994648s remaining +72% 1571m 8.96376312499342s remaining +78% 1250m 39.154820005001966s remaining +83% 934m 55.267515355000796s remaining +89% 622m 29.413799570000265s remaining +94% 311m 18.450600088999636s remaining + +Took 5608m 4.295354151981883s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[97064056793, 98564176339, 100072569107, 101589135759, 103113856920, 104646602215, 106187398356, 107736275761, 109293090371, 110857920166, 112430694351, 114011365018, 115599950602, 117196327004, 118800590925, 120412619857, 122032425459, 123659843790, 125294967082, 126937796005, 128588327243, 130246452086, 131912154820, 133585359545, 135266164372, 136954498772, 138650316079, 140353466997, 142064092718, 143782061764, 145507403680, 147240171147, 148980215264, 150727635585, 152482251574, 154244148718, 156013293341, 157789641485, 159573126063, 161363736129, 163161515589, 164966357990, 166778413540, 168597489526, 170423634920, 172256833222, 174096984130, 175944070539, 177798113933, 179659097608, 181526886277, 183401614525, 185283357786, 187171932452, 189067395545, 190969572215, 192878685899, 194794501516, 196717073581, 198646415545, 200582446276, 202525250523, 204474676000, 206430759842, 208393473652, 210362837892, 212338883288, 214321479087, 216310575119, 218306323410, 220308639589, 222317423828, 224332703873, 226354518539, 228382866797, 230417654661, 232458808890, 234506408930, 236560450852, 238621011575, 240687855365, 242760997918, 244840602378, 246926494947, 249018705899, 251117217088, 253222096057, 255333193422, 257450535789, 259574119170, 261703907096, 263839956846, 265982108389, 268130443702, 270285064143, 272445795640, 274612732292, 276785781460, 278964893909, 281150092759] + +Built regression model! +Model info: + r^2: 0.9999999999983606 + p-value: 0 + intercept: -4.818285575933217 + slope: 1.5566777666288636 +Fractal dimension: 1.5566777666288636 diff --git a/fractal_dimension/circle_counting_new/output5e8/prisms/octagonal_prism.txt b/fractal_dimension/circle_counting_new/output5e8/prisms/octagonal_prism.txt new file mode 100644 index 0000000..364ce52 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/prisms/octagonal_prism.txt @@ -0,0 +1,33 @@ +Counting circles +6% 3767m 46.541400043992326s remaining +13% 3496m 9.795666991005419s remaining +19% 3226m 34.401871701993514s remaining +25% 2965m 8.682539769011782s remaining +31% 2712m 41.040655793010956s remaining +38% 2467m 37.12469060299918s remaining +44% 2225m 50.83630588199594s remaining +50% 1983m 26.52969947300153s remaining +56% 1738m 2.825609705003444s remaining +63% 1489m 49.77695993099769s remaining +69% 1237m 51.83080310499645s remaining +75% 984m 21.829326849001518s remaining +81% 734m 35.316267891997995s remaining +88% 488m 1.672623727001337s remaining +94% 243m 28.402188821999516s remaining + +Took 3889m 11.321822764992248s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[92629750544, 94056072268, 95490099752, 96931887368, 98381304678, 99838354000, 101303048225, 102775169080, 104254854879, 105742072441, 107236692080, 108738771813, 110248218542, 111765182182, 113289408852, 114820940307, 116359828693, 117905938767, 119459255038, 121019780852, 122587509695, 124162356745, 125744317509, 127333491081, 128929722041, 130532992668, 132143339075, 133760644751, 135384894055, 137016101023, 138654310583, 140299396619, 141951326962, 143610094420, 145275715857, 146948244846, 148627570096, 150313590287, 152006381075, 153705778914, 155411903327, 157124715801, 158844196143, 160570352564, 162303176111, 164042491413, 165788431625, 167540914653, 169299922649, 171065385776, 172837389018, 174615885911, 176400981891, 178192251001, 179990131077, 181794296363, 183604952861, 185421968216, 187245320106, 189075004900, 190911049461, 192753342154, 194601952660, 196456845480, 198317937297, 200185242019, 202058792056, 203938455805, 205824361897, 207716356002, 209614462296, 211518730863, 213429195897, 215345715474, 217268297865, 219196960496, 221131628838, 223072318237, 225019050114, 226971832493, 228930565634, 230895250428, 232865824984, 234842444281, 236824986989, 238813400411, 240807690080, 242807799682, 244813819023, 246825693802, 248843438352, 250867043173, 252896357757, 254931534207, 256972488483, 259019261163, 261071745133, 263129943406, 265193941729, 267263619690] + +Built regression model! +Model info: + r^2: 0.999999999990157 + p-value: 0 + intercept: -4.754891497791462 + slope: 1.5509840417590643 +Fractal dimension: 1.5509840417590643 diff --git a/fractal_dimension/circle_counting_new/output5e8/prisms/triangular_prism.txt b/fractal_dimension/circle_counting_new/output5e8/prisms/triangular_prism.txt new file mode 100644 index 0000000..ee37a6e --- /dev/null +++ b/fractal_dimension/circle_counting_new/output5e8/prisms/triangular_prism.txt @@ -0,0 +1,23 @@ +Counting circles +17% 348m 44.6196313449982s remaining +33% 279m 0.07236850000117556s remaining +50% 209m 15.021429152000564s remaining +67% 139m 29.804767759000242s remaining +83% 69m 44.87251044000004s remaining + +Took 418m 29.745428767000703s to count circles + +Done counting circles! +sample points: +[252500000.0, 255000000.0, 257500000.0, 260000000.0, 262500000.0, 265000000.0, 267500000.0, 270000000.0, 272500000.0, 275000000.0, 277500000.0, 280000000.0, 282500000.0, 285000000.0, 287500000.0, 290000000.0, 292500000.0, 295000000.0, 297500000.0, 300000000.0, 302500000.0, 305000000.0, 307500000.0, 310000000.0, 312500000.0, 315000000.0, 317500000.0, 320000000.0, 322500000.0, 325000000.0, 327500000.0, 330000000.0, 332500000.0, 335000000.0, 337500000.0, 340000000.0, 342500000.0, 345000000.0, 347500000.0, 350000000.0, 352500000.0, 355000000.0, 357500000.0, 360000000.0, 362500000.0, 365000000.0, 367500000.0, 370000000.0, 372500000.0, 375000000.0, 377500000.0, 380000000.0, 382500000.0, 385000000.0, 387500000.0, 390000000.0, 392500000.0, 395000000.0, 397500000.0, 400000000.0, 402500000.0, 405000000.0, 407500000.0, 410000000.0, 412500000.0, 415000000.0, 417500000.0, 420000000.0, 422500000.0, 425000000.0, 427500000.0, 430000000.0, 432500000.0, 435000000.0, 437500000.0, 440000000.0, 442500000.0, 445000000.0, 447500000.0, 450000000.0, 452500000.0, 455000000.0, 457500000.0, 460000000.0, 462500000.0, 465000000.0, 467500000.0, 470000000.0, 472500000.0, 475000000.0, 477500000.0, 480000000.0, 482500000.0, 485000000.0, 487500000.0, 490000000.0, 492500000.0, 495000000.0, 497500000.0, 500000000.0] + +number of circles fewer than each of those sample points: +[22469892241, 22783491219, 23098303050, 23414349787, 23731645774, 24050192231, 24369969629, 24690970692, 25013173565, 25336541532, 25661155447, 25986944300, 26313913324, 26642049057, 26971348550, 27301794749, 27633479984, 27966191148, 28300126977, 28635217250, 28971398695, 29308774699, 29647279175, 29986930157, 30327662729, 30669534252, 31012499176, 31356587413, 31701722209, 32048017561, 32395295232, 32743675991, 33093121743, 33443685386, 33795263840, 34147960556, 34501708445, 34856490391, 35212278373, 35569152347, 35927080836, 36286007283, 36645967173, 37006951973, 37368978994, 37731979032, 38096022148, 38461035033, 38827065079, 39194109874, 39562176427, 39931184710, 40301255010, 40672288712, 41044273319, 41417255668, 41791211789, 42166171455, 42542046903, 42918861222, 43296642411, 43675382211, 44055116884, 44435811248, 44817427740, 45200007337, 45583531216, 45967915659, 46353255714, 46739488950, 47126629627, 47514693202, 47903722338, 48293672262, 48684547846, 49076292404, 49469000341, 49862616948, 50257104717, 50652432720, 51048705365, 51445873353, 51843931371, 52242863818, 52642706004, 53043402407, 53444971483, 53847416329, 54250714735, 54654974824, 55060026547, 55465919534, 55872666600, 56280323154, 56688751556, 57098117108, 57508311722, 57919352407, 58331184214, 58743888126] + +Built regression model! +Model info: + r^2: 0.9999999999239426 + p-value: 0 + intercept: -3.378832428274677 + slope: 1.4066462371097597 +Fractal dimension: 1.4066462371097597 diff --git a/fractal_dimension/circle_counting_new/output6e8/misc/6v7f2.txt b/fractal_dimension/circle_counting_new/output6e8/misc/6v7f2.txt new file mode 100644 index 0000000..71289c3 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/misc/6v7f2.txt @@ -0,0 +1,23 @@ +Counting circles +17% 191m 36.08781267000086s remaining +33% 153m 16.719001643999945s remaining +50% 95m 48.68391118999989s remaining +67% 67m 44.01520965999998s remaining +83% 30m 55.67314814800011s remaining + +Took 194m 22.33620568399965s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[8315497191, 8425849105, 8536588609, 8647702516, 8759166138, 8870952000, 8983136095, 9095660961, 9208540756, 9321757036, 9435359515, 9549264648, 9663535146, 9778153700, 9893122014, 10008404777, 10124038989, 10240016534, 10356304469, 10472917023, 10589865881, 10707165329, 10824793135, 10942692534, 11060943761, 11179511379, 11298393562, 11417646749, 11537180293, 11657025529, 11777193012, 11897623538, 12018362540, 12139432463, 12260799584, 12382491319, 12504498267, 12626785053, 12749390290, 12872286322, 12995489202, 13118970143, 13242725265, 13366819875, 13491186602, 13615846108, 13740801118, 13866058445, 13991605094, 14117421413, 14243502052, 14369839203, 14496485806, 14623398512, 14750629092, 14878126270, 15005905265, 15133933513, 15262215883, 15390802571, 15519679033, 15648822779, 15778238104, 15907914692, 16037872903, 16168092627, 16298544081, 16429251735, 16560249884, 16691536731, 16823046453, 16954813357, 17086859336, 17219164163, 17351688625, 17484472366, 17617549132, 17750908462, 17884482752, 18018307871, 18152392576, 18286709614, 18421304321, 18556144003, 18691251178, 18826585981, 18962142862, 19097949307, 19234030396, 19370341311, 19506902435, 19643697957, 19780744567, 19918050816, 20055571844, 20193343908, 20331335838, 20469554034, 20608006749, 20746711631] + +Built regression model! +Model info: + r^2: 0.9999999999481813 + p-value: 0 + intercept: -3.2928892393777005 + slope: 1.3382125100083746 +Fractal dimension: 1.3382125100083746 diff --git a/fractal_dimension/circle_counting_new/output6e8/misc/truncated_icosahedron.txt b/fractal_dimension/circle_counting_new/output6e8/misc/truncated_icosahedron.txt new file mode 100644 index 0000000..e793f4b --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/misc/truncated_icosahedron.txt @@ -0,0 +1,14 @@ +Counting circles +2% 44401m 15.721516012214124s remaining +3% 40956m 47.804354291874915s remaining +5% 40684m 1.4528038362041116s remaining +7% 38916m 54.26698301918805s remaining +8% 38677m 30.30978931579739s remaining +10% 38330m 5.842121603898704s remaining +12% 37133m 53.62535665789619s remaining +13% 36117m 36.94715137500316s remaining +15% 35416m 39.30167481582612s remaining +17% 34606m 38.1507711999584s remaining +18% 34026m 1.864658088888973s remaining +20% 33331m 16.496742551913485s remaining +22% 32844m 19.741978354984894s remaining diff --git a/fractal_dimension/circle_counting_new/output6e8/platonic_solids/cube.txt b/fractal_dimension/circle_counting_new/output6e8/platonic_solids/cube.txt new file mode 100644 index 0000000..db1707f --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/platonic_solids/cube.txt @@ -0,0 +1,25 @@ +Counting circles +13% 1338m 9.841810254001757s remaining +25% 1129m 46.10806418399443s remaining +38% 935m 21.856769714999245s remaining +50% 745m 42.906109593997826s remaining +63% 558m 34.06592540800193s remaining +75% 371m 51.99899454700062s remaining +88% 185m 42.250867437000124s remaining + +Took 1484m 31.764252538006986s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[65438503960, 66399860672, 67365725529, 68336128862, 69311016096, 70290324599, 71274208877, 72262419047, 73255055772, 74252140872, 75253417066, 76259120630, 77269226600, 78283537407, 79302174345, 80325031537, 81352183279, 82383454351, 83419001188, 84458754444, 85502621618, 86550628304, 87602829055, 88659081987, 89719490132, 90783995100, 91852532280, 92925094658, 94001760142, 95082354628, 96167024283, 97255669370, 98348358735, 99444932384, 100545458709, 101649945483, 102758377261, 103870551931, 104986665902, 106106571493, 107230463953, 108358078373, 109489648748, 110624904187, 111763929189, 112906716687, 114053345374, 115203828851, 116357894774, 117515734038, 118677219217, 119842461289, 121011438982, 122184054634, 123360233968, 124540219744, 125723819023, 126910927629, 128101767727, 129296093220, 130494012435, 131695646398, 132900643927, 134109387942, 135321705617, 136537364762, 137756723178, 138979553728, 140205877425, 141435650618, 142668892984, 143905533216, 145145716884, 146389432340, 147636553501, 148887144199, 150141022691, 151398357101, 152658997074, 153923170632, 155190671624, 156461575306, 157735813104, 159013407913, 160294301739, 161578559294, 162866059612, 164156903253, 165451099959, 166748528060, 168049294511, 169353345939, 170660699904, 171971261966, 173285098930, 174602061364, 175922302701, 177245753592, 178572483975, 179902349066] + +Built regression model! +Model info: + r^2: 0.9999999999873099 + p-value: 0 + intercept: -4.003830037505644 + slope: 1.48025222690353 +Fractal dimension: 1.48025222690353 diff --git a/fractal_dimension/circle_counting_new/output6e8/platonic_solids/dodecahedron.txt b/fractal_dimension/circle_counting_new/output6e8/platonic_solids/dodecahedron.txt new file mode 100644 index 0000000..4f5e22c --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/platonic_solids/dodecahedron.txt @@ -0,0 +1,37 @@ +Counting circles +5% 7973m 39.684060741972644s remaining +10% 7555m 54.60388500901172s remaining +15% 7128m 7.660583375021815s remaining +20% 6708m 28.883705295971595s remaining +25% 6286m 7.852125655976124s remaining +30% 5866m 0.6746458080015145s remaining +35% 5448m 58.834786235005595s remaining +40% 5029m 54.89107514801435s remaining +45% 4598m 11.808731395984069s remaining +50% 4169m 11.414349578000838s remaining +55% 3743m 58.412847038998734s remaining +60% 3322m 8.733651034010109s remaining +65% 2902m 33.94490235799458s remaining +70% 2484m 53.184393744013505s remaining +75% 2068m 37.32021710299887s remaining +80% 1653m 16.29530782699294s remaining +85% 1238m 54.171736385003896s remaining +90% 825m 20.90378831399721s remaining +95% 412m 22.595726245999685s remaining + +Took 8242m 21.115782407985535s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[165863488211, 168492637386, 171137162443, 173797022218, 176472212143, 179162623284, 181868211875, 184588885074, 187324607263, 190075369307, 192840970333, 195621580938, 198416963091, 201227160273, 204052126339, 206891757787, 209746058162, 212614893524, 215498270438, 218396140250, 221308466877, 224235207689, 227176313802, 230131682065, 233101226909, 236085001496, 239082987709, 242095147328, 245121373912, 248161460556, 251215513822, 254283530216, 257365400020, 260461094283, 263570635783, 266693932959, 269831006557, 272981706900, 276146094528, 279324107900, 282515562484, 285720642518, 288939295865, 292171284414, 295416643504, 298675426725, 301947581106, 305233132874, 308531817601, 311843772081, 315168877795, 318507183177, 321858527842, 325222983421, 328600474256, 331991018290, 335394511039, 338811027292, 342240362366, 345682700243, 349137693852, 352605622491, 356086329501, 359579827120, 363085958322, 366604795893, 370136347486, 373680404702, 377237154636, 380806594879, 384388555848, 387983042538, 391589900486, 395209419326, 398841206776, 402485309491, 406141867503, 409810834993, 413492011764, 417185604635, 420891403489, 424609333480, 428339455566, 432081753623, 435836064921, 439602704612, 443381416633, 447172134142, 450974929847, 454789738475, 458616683671, 462455342234, 466306004725, 470168746379, 474043283990, 477929569612, 481827789102, 485737849041, 489659653844, 493593205088] + +Built regression model! +Model info: + r^2: 0.9999999999985285 + p-value: 0 + intercept: -5.338930059956908 + slope: 1.5962400971652784 +Fractal dimension: 1.5962400971652784 diff --git a/fractal_dimension/circle_counting_new/output6e8/platonic_solids/icosahedron.txt b/fractal_dimension/circle_counting_new/output6e8/platonic_solids/icosahedron.txt new file mode 100644 index 0000000..2d12cb7 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/platonic_solids/icosahedron.txt @@ -0,0 +1,29 @@ +Counting circles +8% 1273m 10.415216873996542s remaining +17% 1157m 39.36970614400343s remaining +25% 1043m 2.670581564998429s remaining +33% 926m 36.4244817660001s remaining +42% 814m 44.1259174279985s remaining +50% 701m 51.32877417500276s remaining +58% 584m 14.901446734998899s remaining +67% 466m 55.48370961399996s remaining +75% 350m 0.15406458399957046s remaining +83% 233m 13.48450728500029s remaining +92% 116m 36.20995856100035s remaining + +Took 1402m 35.58718184099416s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[19033256332, 19292460269, 19552622065, 19813740337, 20075761329, 20338729583, 20602623505, 20867431873, 21133153036, 21399751890, 21667308858, 21935751951, 22205098038, 22475331089, 22746468084, 23018421959, 23291250235, 23565017328, 23839612535, 24115077927, 24391421382, 24668587158, 24946612731, 25225509939, 25505231407, 25785815505, 26067209204, 26349394957, 26632423625, 26916262692, 27200945267, 27486421712, 27772678349, 28059803777, 28347720020, 28636429736, 28925905418, 29216195479, 29507251500, 29799117116, 30091764675, 30385172221, 30679359607, 30974283224, 31269986109, 31566453100, 31863677075, 32161647499, 32460393308, 32759874614, 33060122200, 33361113601, 33662807744, 33965264330, 34268467363, 34572399305, 34877033337, 35182408363, 35488546679, 35795358726, 36102910470, 36411154268, 36720150567, 37029795558, 37340209582, 37651331367, 37963122635, 38275612410, 38588775799, 38902658312, 39217200611, 39532407631, 39848338819, 40164959165, 40482232071, 40800204829, 41118867951, 41438184169, 41758207551, 42078868788, 42400156209, 42722121004, 43044717690, 43368017678, 43691951023, 44016538481, 44341773141, 44667696304, 44994229837, 45321419612, 45649243430, 45977718834, 46306865525, 46636607962, 46967003556, 47298016099, 47629636754, 47961896689, 48294741979, 48628292991] + +Built regression model! +Model info: + r^2: 0.9999999993854386 + p-value: 0 + intercept: -3.1440709367139448 + slope: 1.372992836283798 +Fractal dimension: 1.372992836283798 diff --git a/fractal_dimension/circle_counting_new/output6e8/platonic_solids/octahedron.txt b/fractal_dimension/circle_counting_new/output6e8/platonic_solids/octahedron.txt new file mode 100644 index 0000000..bc5e218 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/platonic_solids/octahedron.txt @@ -0,0 +1,23 @@ +Counting circles +17% 306m 40.544056254999305s remaining +33% 245m 22.32984326800033s remaining +50% 184m 0.27513892500064685s remaining +67% 122m 42.653155885999695s remaining +83% 61m 21.914124238000113s remaining + +Took 368m 19.15232375100095s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[13756489735, 13938704640, 14121446693, 14304831629, 14488814572, 14673383104, 14858478515, 15044184198, 15230486080, 15417373975, 15604787700, 15792785079, 15981344236, 16170477818, 16360154473, 16550418862, 16741207221, 16932548183, 17124468520, 17316932395, 17509893148, 17703414546, 17897462652, 18092031887, 18287126529, 18482724350, 18678884410, 18875561381, 19072699073, 19270404988, 19468627086, 19667338626, 19866572253, 20066306703, 20266552261, 20467311081, 20668542325, 20870216177, 21072395812, 21275062087, 21478171849, 21681791430, 21885894470, 22090456697, 22295507695, 22500977137, 22707000792, 22913517451, 23120454665, 23327869054, 23535736104, 23744082289, 23952909468, 24162143952, 24371883613, 24582087940, 24792747279, 25003866699, 25215431640, 25427435320, 25639874739, 25852755583, 26066060210, 26279811260, 26494010956, 26708661298, 26923720283, 27139208906, 27355182332, 27571554631, 27788346535, 28005600561, 28223234421, 28441326389, 28659821946, 28878695695, 29098046392, 29317769283, 29537896997, 29758510127, 29979485311, 30200899087, 30422721325, 30644932875, 30867543923, 31090554853, 31313935369, 31537743581, 31761965823, 31986554303, 32211523692, 32436902560, 32662684180, 32888815876, 33115362144, 33342308842, 33569683347, 33797413480, 34025429516, 34253921033] + +Built regression model! +Model info: + r^2: 0.9999999996713439 + p-value: 0 + intercept: -2.733173288068407 + slope: 1.3353282911029116 +Fractal dimension: 1.3353282911029116 diff --git a/fractal_dimension/circle_counting_new/output6e8/platonic_solids/tetrahedron.txt b/fractal_dimension/circle_counting_new/output6e8/platonic_solids/tetrahedron.txt new file mode 100644 index 0000000..e69de29 diff --git a/fractal_dimension/circle_counting_new/output6e8/prisms/decagonal_prism.txt b/fractal_dimension/circle_counting_new/output6e8/prisms/decagonal_prism.txt new file mode 100644 index 0000000..fb99dca --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/prisms/decagonal_prism.txt @@ -0,0 +1,37 @@ +Counting circles +5% 6647m 17.57765031902818s remaining +10% 6197m 42.1424169089878s remaining +15% 5745m 15.482832585985307s remaining +20% 5305m 20.47609484399436s remaining +25% 4901m 9.073810847999994s remaining +30% 4537m 44.88960125000449s remaining +35% 4216m 27.387825729994802s remaining +40% 3911m 48.7302405720111s remaining +45% 3615m 7.371587853995152s remaining +50% 3321m 30.463979087013286s remaining +55% 3004m 48.73768114799168s remaining +60% 2680m 6.020764801010955s remaining +65% 2343m 4.9109334340028s remaining +70% 1999m 7.9369798169936985s remaining +75% 1657m 32.72175133100245s remaining +80% 1320m 59.38389799300057s remaining +85% 989m 16.493493811001827s remaining +90% 660m 19.81034848499985s remaining +95% 331m 7.572904798998934s remaining + +Took 6644m 53.70166090200655s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[133676475595, 135748239603, 137831364329, 139925836810, 142031634424, 144148789759, 146277173284, 148416726118, 150567492609, 152729250880, 154902109862, 157085886584, 159280673816, 161486444548, 163703101172, 165930424055, 168168606525, 170417518633, 172677214943, 174947572825, 177228625434, 179520243017, 181822369034, 184134990335, 186458158545, 188791743007, 191135847550, 193490298823, 195855013068, 198230152474, 200615539503, 203011052079, 205416855796, 207832724271, 210258803626, 212694945302, 215141255005, 217597611000, 220063880383, 222540157677, 225026365752, 227522537003, 230028520892, 232544419158, 235070235664, 237605738166, 240150942204, 242705882712, 245270473243, 247844851452, 250428744076, 253022338704, 255625496114, 258238258360, 260860560343, 263492394736, 266133632912, 268784403366, 271444503663, 274114006116, 276792909445, 279481242557, 282178840893, 284885672074, 287601842812, 290327308004, 293061932041, 295805837114, 298558912521, 301321023622, 304092378406, 306872865829, 309662398358, 312460956467, 315268570034, 318085155947, 320910809525, 323745457628, 326588909647, 329441310691, 332302650884, 335172850467, 338052072657, 340939973138, 343836728071, 346742237632, 349656568895, 352579635642, 355511389192, 358451998266, 361401241145, 364359146319, 367325772323, 370300880389, 373284621464, 376277033814, 379278020229, 382287579096, 385305715945, 388332381416] + +Built regression model! +Model info: + r^2: 0.9999999999971954 + p-value: 0 + intercept: -4.865533502219904 + slope: 1.560952557066393 +Fractal dimension: 1.560952557066393 diff --git a/fractal_dimension/circle_counting_new/output6e8/prisms/heptagonal_prism.txt b/fractal_dimension/circle_counting_new/output6e8/prisms/heptagonal_prism.txt new file mode 100644 index 0000000..2536e7e --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/prisms/heptagonal_prism.txt @@ -0,0 +1,31 @@ +Counting circles +7% 4085m 44.6316020390077s remaining +14% 3765m 56.34621691799839s remaining +21% 3445m 56.70598181101377s remaining +29% 3129m 38.64844278499368s remaining +36% 2806m 45.839966920990264s remaining +43% 2474m 13.214108557993313s remaining +50% 2151m 42.422864093998214s remaining +57% 1835m 31.43404546700185s remaining +64% 1523m 11.310433267994085s remaining +71% 1214m 17.132503606000682s remaining +79% 909m 11.143847380997613s remaining +86% 604m 39.65792072600016s remaining +93% 301m 50.78393692700047s remaining + +Took 4220m 37.58996261499124s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[115052483994, 116815021174, 118586992987, 120368360433, 122159000699, 123958787046, 125767924755, 127586324946, 129413866137, 131250426390, 133096184851, 134951053630, 136814876522, 138687741696, 140569454598, 142460160771, 144359647687, 146268024527, 148185234129, 150111197899, 152045904296, 153989297835, 155941373183, 157901974082, 159871351425, 161849192059, 163835584908, 165830565699, 167833959598, 169845892107, 171866171402, 173894912620, 175931896487, 177977289858, 180030949241, 182092823014, 184163022485, 186241432604, 188328043397, 190422900862, 192525830425, 194636908923, 196756065314, 198883243269, 201018476205, 203161659573, 205312891519, 207472162652, 209639306251, 211814379261, 213997387459, 216188210476, 218386855178, 220593362607, 222807687666, 225029842629, 227259670048, 229497163690, 231742419661, 233995314201, 236255890533, 238524018836, 240799827020, 243083331373, 245374381889, 247672954420, 249979029193, 252292617301, 254613721770, 256942263563, 259278250413, 261621693426, 263972616803, 266330912590, 268696591368, 271069573487, 273449800109, 275837504635, 278232483879, 280634733925, 283044157139, 285460842524, 287884769453, 290315963622, 292754305186, 295199724935, 297652357190, 300112137045, 302579000940, 305052880385, 307533993651, 310022126181, 312517307357, 315019537084, 317528725270, 320045008125, 322568142692, 325098372845, 327635473832, 330179557666] + +Built regression model! +Model info: + r^2: 0.999999999997852 + p-value: 0 + intercept: -4.667120306811121 + slope: 1.543110190216444 +Fractal dimension: 1.543110190216444 diff --git a/fractal_dimension/circle_counting_new/output6e8/prisms/hexagonal_prism.txt b/fractal_dimension/circle_counting_new/output6e8/prisms/hexagonal_prism.txt new file mode 100644 index 0000000..e463065 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/prisms/hexagonal_prism.txt @@ -0,0 +1,29 @@ +Counting circles +8% 3207m 30.159917993994895s remaining +17% 2916m 10.67391376500018s remaining +25% 2624m 38.39426454898785s remaining +33% 2333m 20.01412065399927s remaining +42% 2042m 40.999455890007084s remaining +50% 1750m 57.23034936300246s remaining +58% 1459m 6.113795776996994s remaining +67% 1167m 7.632713444007095s remaining +75% 875m 14.91300719800347s remaining +83% 583m 26.964011607997236s remaining +92% 291m 44.39918823699918s remaining + +Took 3501m 0.5826947820023634s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[104375999403, 105963011175, 107558263910, 109161767882, 110773454302, 112393348423, 114021347857, 115657479720, 117301650390, 118953888761, 120614134578, 122282362762, 123958421045, 125642402011, 127334387976, 129034094849, 130741719376, 132457016168, 134180126268, 135910982555, 137649454824, 139395568141, 141149273745, 142910612103, 144679476643, 146455942670, 148239971041, 150031463173, 151830370259, 153636707986, 155450481181, 157271547407, 159100073707, 160935870545, 162778987926, 164629311564, 166486823503, 168351586713, 170223594802, 172102875340, 173989176291, 175882675274, 177783308859, 179690958376, 181605661795, 183527385663, 185456142618, 187391901209, 189334566956, 191284157021, 193240717656, 195204151504, 197174471994, 199151638772, 201135644360, 203126496532, 205124060570, 207128543146, 209139706053, 211157564758, 213182147021, 215213351164, 217251339511, 219296007756, 221347258473, 223405148447, 225469669957, 227540812497, 229618417044, 231702605388, 233793372977, 235890628561, 237994343306, 240104623074, 242221367656, 244344519811, 246474075990, 248609954307, 250752300072, 252900954107, 255056031274, 257217308748, 259384990717, 261559004733, 263739311859, 265925983913, 268118822873, 270317836139, 272523072943, 274734523160, 276952190374, 279176123865, 281406214594, 283642476968, 285884869530, 288133287048, 290387892505, 292648546336, 294915294210, 297188111961] + +Built regression model! +Model info: + r^2: 0.9999999999974666 + p-value: 0 + intercept: -4.539129448488957 + slope: 1.531569651006187 +Fractal dimension: 1.531569651006187 diff --git a/fractal_dimension/circle_counting_new/output6e8/prisms/nonagonal_prism.txt b/fractal_dimension/circle_counting_new/output6e8/prisms/nonagonal_prism.txt new file mode 100644 index 0000000..46fea4d --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/prisms/nonagonal_prism.txt @@ -0,0 +1,35 @@ +Counting circles +6% 6144m 23.834875756001566s remaining +11% 5656m 26.106793079990894s remaining +17% 5212m 58.677406499977224s remaining +22% 4802m 41.18381344602676s remaining +28% 4471m 45.14696105301846s remaining +33% 4110m 18.91373737200047s remaining +39% 3767m 51.544360002997564s remaining +44% 3434m 53.64464160200441s remaining +50% 3101m 41.49721041601151s remaining +56% 2762m 21.958706892008195s remaining +61% 2416m 10.652109724993352s remaining +67% 2065m 52.680287612995016s remaining +72% 1715m 40.12513721799769s remaining +78% 1368m 23.471019756994792s remaining +83% 1024m 39.677232528003515s remaining +89% 683m 14.979404288002115s remaining +94% 342m 8.4838603720018s remaining + +Took 6170m 17.55847085599089s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[128919319649, 130911822951, 132915162263, 134929351405, 136954498772, 138990352368, 141036836232, 143093995233, 145161717139, 147240171147, 149329144422, 151428604922, 153538527143, 155658877457, 157789641485, 159930669518, 162081980334, 164243583735, 166415437074, 168597489526, 170789707608, 172992023353, 175204362486, 177426750234, 179659097608, 181901269808, 184153470250, 186415681186, 188687760548, 190969572215, 193261279671, 195562730940, 197873894302, 200194700304, 202525250523, 204865353479, 207215043824, 209574275894, 211943175379, 214321479087, 216709183822, 219106484478, 221513145048, 223929121052, 226354518539, 228789312714, 231233333632, 233686561268, 236149118487, 238621011575, 241101995477, 243592102628, 246091400979, 248599727902, 251117217088, 253643833256, 256179405736, 258723962073, 261277424535, 263839956846, 266411290543, 268991532959, 271580746065, 274178853788, 276785781460, 279401429722, 282025885221, 284659048992, 287301029646, 289951723137, 292610994772, 295278973357, 297955631064, 300640926913, 303334804463, 306037343881, 308748410893, 311467964946, 314196135892, 316932691420, 319677832278, 322431448194, 325193530347, 327963999677, 330742866421, 333530100240, 336325677296, 339129590874, 341941807404, 344762352482, 347591227346, 350428187535, 353273432357, 356126928368, 358988655011, 361858613440, 364736626149, 367622862537, 370517170879, 373419680810] + +Built regression model! +Model info: + r^2: 0.999999999993185 + p-value: 0 + intercept: -4.818203191523708 + slope: 1.556673590432065 +Fractal dimension: 1.556673590432065 diff --git a/fractal_dimension/circle_counting_new/output6e8/prisms/octagonal_prism.txt b/fractal_dimension/circle_counting_new/output6e8/prisms/octagonal_prism.txt new file mode 100644 index 0000000..23c2d6c --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/prisms/octagonal_prism.txt @@ -0,0 +1,33 @@ +Counting circles +6% 4711m 41.58699463499943s remaining +13% 4372m 34.276416405977216s remaining +19% 4057m 24.15529580801376s remaining +25% 3757m 1.2794458199932706s remaining +31% 3437m 26.25486078899121s remaining +38% 3120m 41.6456487349933s remaining +44% 2810m 26.7410040179966s remaining +50% 2501m 3.1834933779900894s remaining +56% 2189m 23.805543405993376s remaining +63% 1875m 9.649783350003418s remaining +69% 1560m 2.252591245996882s remaining +75% 1246m 37.96193591800693s remaining +81% 934m 32.652321348999976s remaining +88% 622m 45.64455099299812s remaining +94% 311m 29.71997502099839s remaining + +Took 4987m 35.83331174199702s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[122901902453, 124794281829, 126696988561, 128609899024, 130532992668, 132466250103, 134409544276, 136362766949, 138326127102, 140299396619, 142282500686, 144275537476, 146278388666, 148291159708, 150313590287, 152345720675, 154387405799, 156438799103, 158499774259, 160570352564, 162650510615, 164740068483, 166839138479, 168947591240, 171065385776, 173192571668, 175329160701, 177474982020, 179630056074, 181794296363, 183967873279, 186150559512, 188342349557, 190543326652, 192753342154, 194972441469, 197200523071, 199437558036, 201683557004, 203938455805, 206202286598, 208474881605, 210756252299, 213046654501, 215345715474, 217653522592, 219970082731, 222295357423, 224629245999, 226971832493, 229323044876, 231682744926, 234051105082, 236428047783, 238813400411, 241207243034, 243609532117, 246020218386, 248439412374, 250867043173, 253302940149, 255747222100, 258199873986, 260660820452, 263129943406, 265607421466, 268093132437, 270587156330, 273089225025, 275599598962, 278118114213, 280644714329, 283179446048, 285722237178, 288273051716, 290831968755, 293398986183, 295973886198, 298556929564, 301147858122, 303746594562, 306353371330, 308968025045, 311590661951, 314221115253, 316859392316, 319505512684, 322159398365, 324821051502, 327490449115, 330167740722, 332852785969, 335545432652, 338245863163, 340953914970, 343669525367, 346392871407, 349123905035, 351862459945, 354608633972] + +Built regression model! +Model info: + r^2: 0.999999999991215 + p-value: 0 + intercept: -4.754891285972626 + slope: 1.5509840099351888 +Fractal dimension: 1.5509840099351888 diff --git a/fractal_dimension/circle_counting_new/output6e8/prisms/pentagonal_prism.txt b/fractal_dimension/circle_counting_new/output6e8/prisms/pentagonal_prism.txt new file mode 100644 index 0000000..bb00e55 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/prisms/pentagonal_prism.txt @@ -0,0 +1,27 @@ +Counting circles +10% 2434m 5.24131890598801s remaining +20% 2145m 18.00174897600664s remaining +30% 1844m 53.75654016100452s remaining +40% 1568m 25.960509810000076s remaining +50% 1308m 0.914374112006044s remaining +60% 1043m 46.55404780800018s remaining +70% 780m 4.946996525999566s remaining +80% 518m 42.64091321899832s remaining +90% 258m 50.19489719299963s remaining + +Took 2584m 21.35131542599993s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[89022930165, 90360132398, 91704051582, 93054662125, 94411956534, 95775943821, 97146568060, 98523864635, 99907621629, 101297968865, 102694681393, 104097904782, 105507529569, 106923581966, 108346031774, 109774903180, 111210115605, 112651641609, 114099429494, 115553464519, 117013782806, 118480204508, 119952876733, 121431600577, 122916512461, 124407639339, 125904712738, 127407900184, 128917148268, 130432422106, 131953745251, 133481070868, 135014242174, 136553359694, 138098330192, 139649264281, 141206053614, 142768610488, 144336977846, 145911220101, 147491276105, 149077098985, 150668582019, 152265806488, 153868792412, 155477421549, 157091634767, 158711547427, 160337106532, 161968296363, 163605096842, 165247386195, 166895240589, 168548690705, 170207622242, 171872048229, 173541988711, 175217349946, 176898246354, 178584557412, 180276274234, 181973318081, 183675794709, 185383655189, 187096906060, 188815454974, 190539281489, 192268444177, 194002912664, 195742694767, 197487689876, 199238014875, 200993453933, 202754177340, 204520139342, 206291237549, 208067487663, 209848924421, 211635495537, 213427147679, 215224033667, 217025907082, 218832965034, 220645015410, 222462101681, 224284192462, 226111399986, 227943661449, 229780927136, 231623176792, 233470418921, 235322642761, 237179766194, 239041851550, 240908894392, 242780837954, 244657725500, 246539441208, 248426143511, 250317655076] + +Built regression model! +Model info: + r^2: 0.9999999999967005 + p-value: 0 + intercept: -4.340108874184224 + slope: 1.5132316890470596 +Fractal dimension: 1.5132316890470596 diff --git a/fractal_dimension/circle_counting_new/output6e8/prisms/triangular_prism.txt b/fractal_dimension/circle_counting_new/output6e8/prisms/triangular_prism.txt new file mode 100644 index 0000000..ce18fd0 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/prisms/triangular_prism.txt @@ -0,0 +1,23 @@ +Counting circles +17% 425m 1.4505467499984661s remaining +33% 339m 58.37608535199979s remaining +50% 255m 1.163181292000445s remaining +67% 169m 59.303005502000815s remaining +83% 84m 59.91243563500029s remaining + +Took 510m 4.795031120000203s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[29038781546, 29444049520, 29850966287, 30259423512, 30669534252, 31081213573, 31494518083, 31909354881, 32325761301, 32743675991, 33163152075, 33584169240, 34006744021, 34430869379, 34856490391, 35283561700, 35712223419, 36142320962, 36573895694, 37006951973, 37441501523, 37877492798, 38314893798, 38753795168, 39194109874, 39635884444, 40079074444, 40523748426, 40969786227, 41417255668, 41866138282, 42316397607, 42768033294, 43221013057, 43675382211, 44131188493, 44588320561, 45046854516, 45506743734, 45967915659, 46430419508, 46894240956, 47359366394, 47825836781, 48293672262, 48762827624, 49233266221, 49705034564, 50178120738, 50652432720, 51128076314, 51604984854, 52083192092, 52562675535, 53043402407, 53525388007, 54008651552, 54493198099, 54978928164, 55465919534, 55954155223, 56443581985, 56934278425, 57426197008, 57919352407, 58413649777, 58909208861, 59406027093, 59904006781, 60403229751, 60903619905, 61405269273, 61908015680, 62411944188, 62917035689, 63423345513, 63930851287, 64439510914, 64949329229, 65460296096, 65972400654, 66485602112, 66999997105, 67515554531, 68032287156, 68550155932, 69069171280, 69589234699, 70110481564, 70632894735, 71156423210, 71681056487, 72206797114, 72733699455, 73261629456, 73790631633, 74320800778, 74852060171, 75384431562, 75917869223] + +Built regression model! +Model info: + r^2: 0.9999999999025745 + p-value: 0 + intercept: -3.37859660166108 + slope: 1.4066342967716463 +Fractal dimension: 1.4066342967716463 diff --git a/fractal_dimension/circle_counting_new/output6e8/pyramids/decagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output6e8/pyramids/decagonal_pyramid.txt new file mode 100644 index 0000000..11f44db --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/pyramids/decagonal_pyramid.txt @@ -0,0 +1,28 @@ +Counting circles +9% 1047m 44.92105571000138s remaining +18% 528m 19.134047020001162s remaining +27% 347m 24.269109695000225s remaining +36% 250m 39.153531092000776s remaining +45% 187m 17.131322237999484s remaining +55% 140m 32.37804740399952s remaining +64% 103m 22.525863181000204s remaining +73% 72m 20.2051689179998s remaining +82% 45m 30.93091302999983s remaining +91% 21m 41.03269637900007s remaining + +Took 229m 8.218743081000866s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[5292604217, 5362282124, 5432161899, 5502282585, 5572632307, 5643188378, 5713985166, 5784991382, 5856209689, 5927635433, 5999281686, 6071136858, 6143190843, 6215457187, 6287941659, 6360633680, 6433524292, 6506629137, 6579917881, 6653437017, 6727146123, 6801039241, 6875134991, 6949437220, 7023933762, 7098618500, 7173518953, 7248586417, 7323858112, 7399315691, 7474960135, 7550783741, 7626827929, 7703049482, 7779459789, 7856051770, 7932829475, 8009784144, 8086932265, 8164248659, 8241745477, 8319439026, 8397298575, 8475343763, 8553556853, 8631950269, 8710536491, 8789285968, 8868193896, 8947292014, 9026566066, 9106007392, 9185615594, 9265404435, 9345360123, 9425468287, 9505764472, 9586213934, 9666827473, 9747639397, 9828599156, 9909729512, 9991012884, 10072461661, 10154062141, 10235828830, 10317758917, 10399848569, 10482102653, 10564524595, 10647107051, 10729841280, 10812743328, 10895788638, 10978999942, 11062357253, 11145891954, 11229566083, 11313396123, 11397377222, 11481520645, 11565816337, 11650254347, 11734847025, 11819577364, 11904460200, 11989502372, 12074683720, 12160021991, 12245510166, 12331140543, 12416920118, 12502843986, 12588909781, 12675120269, 12761488950, 12847992955, 12934642418, 13021439140, 13108373199] + +Built regression model! +Model info: + r^2: 0.9999999999426493 + p-value: 0 + intercept: -3.535362998713566 + slope: 1.3274932165894984 +Fractal dimension: 1.3274932165894984 diff --git a/fractal_dimension/circle_counting_new/output6e8/pyramids/heptagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output6e8/pyramids/heptagonal_pyramid.txt new file mode 100644 index 0000000..02429ba --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/pyramids/heptagonal_pyramid.txt @@ -0,0 +1,25 @@ +Counting circles +13% 621m 51.893127641997125s remaining +25% 317m 31.767056229000445s remaining +38% 204m 42.80183578799915s remaining +50% 139m 49.286903197000356s remaining +63% 94m 5.984966502000134s remaining +75% 58m 10.468004404000112s remaining +88% 27m 30.654056184999945s remaining + +Took 210m 38.886032376s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[7093483666, 7187420692, 7281679533, 7376244282, 7471111735, 7566285654, 7661777842, 7757550450, 7853608860, 7949962074, 8046628293, 8143594833, 8240823010, 8338366845, 8436178134, 8534286964, 8632668128, 8731357526, 8830307961, 8929535269, 9029025585, 9128811895, 9228885940, 9329216391, 9429831893, 9530694269, 9631837949, 9733254430, 9834937525, 9936875116, 10039083591, 10141551993, 10244289935, 10347283713, 10450525319, 10554026252, 10657797739, 10761802374, 10866076820, 10970599295, 11075385614, 11180411100, 11285691428, 11391202216, 11496949731, 11602955495, 11709194489, 11815683076, 11922422209, 12029405100, 12136612838, 12244069599, 12351776102, 12459697330, 12567847193, 12676264740, 12784898737, 12893770460, 13002863646, 13112174869, 13221720867, 13331507661, 13441527178, 13551753227, 13662214051, 13772897629, 13883815816, 13994942848, 14106289766, 14217855171, 14329683858, 14441672518, 14553890259, 14666347887, 14779028795, 14891907460, 15005010687, 15118308568, 15231847516, 15345596245, 15459543350, 15573703953, 15688074606, 15802649323, 15917451001, 16032451970, 16147663392, 16263093200, 16378716375, 16494533019, 16610582506, 16726809415, 16843254458, 16959894342, 17076730405, 17193773070, 17311017087, 17428471231, 17546129983, 17663993276] + +Built regression model! +Model info: + r^2: 0.9999999999719288 + p-value: 0 + intercept: -3.397196371124039 + slope: 1.3354147362724165 +Fractal dimension: 1.3354147362724165 diff --git a/fractal_dimension/circle_counting_new/output6e8/pyramids/hexagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output6e8/pyramids/hexagonal_pyramid.txt new file mode 100644 index 0000000..aa34219 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/pyramids/hexagonal_pyramid.txt @@ -0,0 +1,24 @@ +Counting circles +14% 518m 58.843253615999856s remaining +29% 268m 29.188467522000792s remaining +43% 171m 1.6978419370007032s remaining +57% 111m 51.53519633100041s remaining +71% 68m 0.45534742000018014s remaining +86% 31m 48.98612243999992s remaining + +Took 211m 47.16172404600002s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[8330197779, 8440756424, 8551678632, 8662969418, 8774593504, 8886607701, 8998992021, 9111720665, 9224786961, 9338203358, 9451985461, 9566106470, 9680565658, 9795392858, 9910555676, 10026039501, 10141869981, 10258055390, 10374561918, 10491399377, 10608562703, 10726029601, 10843843329, 10961985393, 11080469414, 11199239569, 11318344628, 11437782679, 11557525698, 11677581185, 11797950974, 11918601543, 12039597111, 12160878945, 12282480489, 12404380088, 12526585494, 12649080137, 12771899181, 12895003749, 13018421935, 13142114799, 13266114204, 13390398433, 13515013737, 13639909692, 13765070921, 13890525744, 14016263018, 14142285094, 14268591084, 14395189180, 14522066216, 14649204379, 14776647997, 14904357575, 15032335071, 15160599519, 15289168971, 15417982954, 15547057939, 15676417878, 15806053246, 15935943089, 16066101522, 16196543865, 16327255775, 16458223082, 16589443780, 16720943371, 16852710210, 16984725428, 17117012938, 17249544970, 17382306672, 17515337236, 17648660127, 17782215476, 17916032432, 18050124966, 18184438452, 18319007936, 18453838691, 18588900955, 18724225940, 18859783993, 18995611505, 19131665611, 19267985076, 19404512031, 19541300089, 19678347563, 19815633519, 19953157159, 20090931539, 20228925724, 20367160353, 20505636173, 20644323214, 20783254979] + +Built regression model! +Model info: + r^2: 0.9999999999812019 + p-value: 0 + intercept: -3.291098011849826 + slope: 1.3382110668524845 +Fractal dimension: 1.3382110668524845 diff --git a/fractal_dimension/circle_counting_new/output6e8/pyramids/nonagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output6e8/pyramids/nonagonal_pyramid.txt new file mode 100644 index 0000000..ef8a2fe --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/pyramids/nonagonal_pyramid.txt @@ -0,0 +1,27 @@ +Counting circles +10% 855m 42.23599071300123s remaining +20% 432m 16.716610439998476s remaining +30% 282m 43.11067342499882s remaining +40% 201m 30.84589187399979s remaining +50% 147m 28.541560645000573s remaining +60% 106m 59.01611410999976s remaining +70% 74m 15.867029402999833s remaining +80% 46m 29.840561073000117s remaining +90% 22m 4.801429870999982s remaining + +Took 211m 35.4917266650009s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[5707608194, 5782876381, 5858403356, 5934170389, 6010165780, 6086420372, 6162885288, 6239605402, 6316553966, 6393735773, 6471151402, 6548794566, 6626685949, 6704787807, 6783103167, 6861648778, 6940415201, 7019418028, 7098621588, 7178057707, 7257705220, 7337593221, 7417676547, 7497968713, 7578490318, 7659218697, 7740161705, 7821331570, 7902701404, 7984281088, 8066057016, 8148037606, 8230238595, 8312638013, 8395216411, 8478015525, 8561014738, 8644225601, 8727623502, 8811224851, 8895017915, 8979012366, 9063193876, 9147578639, 9232142291, 9316909386, 9401857453, 9487012361, 9572356265, 9657895235, 9743637956, 9829540884, 9915629636, 10001901554, 10088361071, 10175001906, 10261841929, 10348865096, 10436062267, 10523429889, 10610976990, 10698723987, 10786639496, 10874724324, 10963007974, 11051462590, 11140100325, 11228917856, 11317891868, 11407036370, 11496361030, 11585855124, 11675505275, 11765355670, 11855360771, 11945532073, 12035872440, 12126388750, 12217082289, 12307930310, 12398933512, 12490098083, 12581445225, 12672946978, 12764609586, 12856447269, 12948436972, 13040581689, 13132901327, 13225392922, 13318034539, 13410851465, 13503822298, 13596937772, 13690236178, 13783677821, 13877269724, 13971017029, 14064934928, 14159005951] + +Built regression model! +Model info: + r^2: 0.9999999999213006 + p-value: 0 + intercept: -3.5059845820395807 + slope: 1.3298544579683 +Fractal dimension: 1.3298544579683 diff --git a/fractal_dimension/circle_counting_new/output6e8/pyramids/octagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output6e8/pyramids/octagonal_pyramid.txt new file mode 100644 index 0000000..a343f46 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/pyramids/octagonal_pyramid.txt @@ -0,0 +1,26 @@ +Counting circles +11% 730m 19.71108004800044s remaining +22% 370m 13.41400076699938s remaining +33% 240m 40.73487692600065s remaining +44% 168m 37.10257294499934s remaining +56% 119m 33.34858435800015s remaining +67% 81m 58.457141732999844s remaining +78% 51m 0.3511378540001715s remaining +89% 24m 7.19067549500005s remaining + +Took 207m 25.558959705000234s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[6276988308, 6359942704, 6443161322, 6526657386, 6610416104, 6694434680, 6778725958, 6863265262, 6948064733, 7033134875, 7118452563, 7204027336, 7289877993, 7375948842, 7462288330, 7548880100, 7635719250, 7722799932, 7810135627, 7897702337, 7985532840, 8073588387, 8161893282, 8250448390, 8339213708, 8428231741, 8517477135, 8606962994, 8696678308, 8786641445, 8876837994, 8967248224, 9057879629, 9148755618, 9239838885, 9331145055, 9422694831, 9514449733, 9606432560, 9698628470, 9791044609, 9883690552, 9976554552, 10069624881, 10162903465, 10256405915, 10350127710, 10444066090, 10538196753, 10632550005, 10727110494, 10821873157, 10916846279, 11012017859, 11107397243, 11202988480, 11298778944, 11394765358, 11490961251, 11587344456, 11683947525, 11780752055, 11877763337, 11974967224, 12072353299, 12169945737, 12267746943, 12365731972, 12463903061, 12562280828, 12660851635, 12759603280, 12858554342, 12957684376, 13057009992, 13156524920, 13256215950, 13356110063, 13456191151, 13556459199, 13656908146, 13757544139, 13858341066, 13959347700, 14060530001, 14161896299, 14263421072, 14365149242, 14467053867, 14569128038, 14671392917, 14773833186, 14876457092, 14979264357, 15082236933, 15185381559, 15288708998, 15392197334, 15495884408, 15599729738] + +Built regression model! +Model info: + r^2: 0.9999999999460691 + p-value: 0 + intercept: -3.462737008543371 + slope: 1.3325090058406053 +Fractal dimension: 1.3325090058406053 diff --git a/fractal_dimension/circle_counting_new/output6e8/pyramids/pentagonal_pyramid.txt b/fractal_dimension/circle_counting_new/output6e8/pyramids/pentagonal_pyramid.txt new file mode 100644 index 0000000..12c603e --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/pyramids/pentagonal_pyramid.txt @@ -0,0 +1,23 @@ +Counting circles +17% 426m 9.19431704499948s remaining +33% 226m 7.455438253999091s remaining +50% 140m 52.87141416099985s remaining +67% 84m 22.25922117099981s remaining +83% 39m 19.212757318000058s remaining + +Took 224m 28.641152944999703s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[10328820433, 10466035691, 10603691371, 10741824683, 10880424529, 11019468009, 11158971689, 11298917599, 11439283509, 11580095480, 11721357295, 11863042594, 12005157931, 12147703449, 12290672822, 12434055646, 12577866813, 12722062323, 12866704119, 13011754669, 13157225724, 13303102745, 13449374282, 13596075998, 13743156416, 13890639699, 14038528793, 14186807780, 14335478877, 14484554604, 14634029415, 14783873658, 14934131694, 15084752690, 15235759881, 15387133436, 15538879153, 15691008945, 15843505940, 15996415640, 16149641840, 16303270421, 16457244471, 16611597163, 16766338648, 16921418920, 17076870457, 17232706710, 17388853179, 17545384951, 17702261044, 17859494853, 18017081657, 18175012638, 18333293096, 18491913388, 18650885976, 18810194859, 18969873807, 19129874267, 19290223611, 19450892824, 19611917259, 19773276636, 19934938891, 20096968191, 20259306599, 20421982440, 20584969181, 20748315748, 20911989440, 21075977551, 21240297015, 21404931761, 21569897596, 21735176998, 21900774843, 22066712948, 22232932476, 22399482518, 22566352879, 22733512708, 22901002473, 23068820459, 23236915838, 23405315775, 23574051916, 23743095489, 23912453607, 24082113976, 24252065341, 24422300895, 24592871751, 24763722328, 24934863108, 25106331306, 25278092745, 25450133165, 25622477556, 25795131299] + +Built regression model! +Model info: + r^2: 0.9999999999784093 + p-value: 0 + intercept: -3.104286013978843 + slope: 1.3396570048871794 +Fractal dimension: 1.3396570048871794 diff --git a/fractal_dimension/circle_counting_new/output6e8/pyramids/square_pyramid.txt b/fractal_dimension/circle_counting_new/output6e8/pyramids/square_pyramid.txt new file mode 100644 index 0000000..d5415d2 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/pyramids/square_pyramid.txt @@ -0,0 +1,22 @@ +Counting circles +20% 324m 43.40762238399839s remaining +40% 182m 37.55615755799954s remaining +60% 108m 12.454880381999828s remaining +80% 50m 43.32775142399987s remaining + +Took 243m 25.740606483999727s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[13756489338, 13938704165, 14121446321, 14304831205, 14488814081, 14673382635, 14858478030, 15044183680, 15230485640, 15417373554, 15604787266, 15792784597, 15981343724, 16170477274, 16360153975, 16550418361, 16741206738, 16932547673, 17124467975, 17316931798, 17509892599, 17703413979, 17897462020, 18092031284, 18287125910, 18482723715, 18678883815, 18875560828, 19072698415, 19270404249, 19468626353, 19667337876, 19866571561, 20066306018, 20266551569, 20467310371, 20668541634, 20870215379, 21072394999, 21275061262, 21478171046, 21681790726, 21885893674, 22090455983, 22295506823, 22500976301, 22706999955, 22913516550, 23120453793, 23327868050, 23535735224, 23744081424, 23952908602, 24162143003, 24371882644, 24582086939, 24792746332, 25003865785, 25215430649, 25427434384, 25639873778, 25852754488, 26066059268, 26279810289, 26494009845, 26708660258, 26923719229, 27139207760, 27355181198, 27571553513, 27788345385, 28005599509, 28223233202, 28441325299, 28659820686, 28878694411, 29098045099, 29317768071, 29537895756, 29758508834, 29979484103, 30200897748, 30422719921, 30644931426, 30867542529, 31090553388, 31313933838, 31537742029, 31761964370, 31986552889, 32211522263, 32436901105, 32662682594, 32888814360, 33115360562, 33342307258, 33569681808, 33797411906, 34025427883, 34253919407] + +Built regression model! +Model info: + r^2: 0.9999999996714177 + p-value: 0 + intercept: -2.73317279659301 + slope: 1.335328264503229 +Fractal dimension: 1.335328264503229 diff --git a/fractal_dimension/circle_counting_new/output6e8/rhombic/rhombic_dodecahedron.txt b/fractal_dimension/circle_counting_new/output6e8/rhombic/rhombic_dodecahedron.txt new file mode 100644 index 0000000..c2d81f8 --- /dev/null +++ b/fractal_dimension/circle_counting_new/output6e8/rhombic/rhombic_dodecahedron.txt @@ -0,0 +1,31 @@ +Counting circles +7% 1146m 40.81273639599385s remaining +14% 1069m 4.131250229998841s remaining +21% 995m 18.706715175998397s remaining +29% 913m 35.60686874700332s remaining +36% 1033m 44.760946426999s remaining +43% 1034m 29.19367847799731s remaining +50% 977m 12.093120074998296s remaining +57% 883m 58.02087943499646s remaining +64% 703m 38.677388308002264s remaining +71% 541m 50.22702718000073s remaining +79% 393m 26.76280163100091s remaining +86% 273m 59.88270515199838s remaining +93% 133m 13.933720646000438s remaining + +Took 1933m 17.281510029002675s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[38427424176, 38995475848, 39566247870, 40139713307, 40715953321, 41294870903, 41876542108, 42460841593, 43047755581, 43637320030, 44229484338, 44824273061, 45421648947, 46021677510, 46624291073, 47229418439, 47837159654, 48447412369, 49060301634, 49675617275, 50293399600, 50913748245, 51536577286, 52161922490, 52789713148, 53419939923, 54052682482, 54687850726, 55325456641, 55965482528, 56607879814, 57252739364, 57899985866, 58549600532, 59201544859, 59855882133, 60512570910, 61171637043, 61832999482, 62496726222, 63162806374, 63831169794, 64501837437, 65174854445, 65850133646, 66527695832, 67207577327, 67889713950, 68574119224, 69260802388, 69949661301, 70640763908, 71334077359, 72029589653, 72727389960, 73427447730, 74129662557, 74834019608, 75540567193, 76249288860, 76960235189, 77673299058, 78388515525, 79105872917, 79825363890, 80547046633, 81270749912, 81996647226, 82724693842, 83454856392, 84187103147, 84921452602, 85657837132, 86396345158, 87136932936, 87879612152, 88624320601, 89371097026, 90119958875, 90870865574, 91623823139, 92378823628, 93135905610, 93895033802, 94656090837, 95419263244, 96184345541, 96951429434, 97720571001, 98491706263, 99264750920, 100039812594, 100816856345, 101595910182, 102376965560, 103159933863, 103944902222, 104731760286, 105520602271, 106311449428] + +Built regression model! +Model info: + r^2: 0.9999999999882916 + p-value: 0 + intercept: -4.7161815571797305 + slope: 1.4894698142207021 +Fractal dimension: 1.4894698142207021 diff --git a/fractal_dimension/circle_counting_new/output6e8/rhombic/rhombic_triacontahedron.txt b/fractal_dimension/circle_counting_new/output6e8/rhombic/rhombic_triacontahedron.txt index 50a776c..b77422c 100644 --- a/fractal_dimension/circle_counting_new/output6e8/rhombic/rhombic_triacontahedron.txt +++ b/fractal_dimension/circle_counting_new/output6e8/rhombic/rhombic_triacontahedron.txt @@ -12,3 +12,38 @@ 34% 4245m 3.1738559450022876s remaining 38% 4038m 19.21566832100507s remaining 41% 3623m 5.9181655700085685s remaining +44% 3255m 3.386190543009434s remaining +47% 2930m 12.098293833987555s remaining +50% 2636m 26.392355704010697s remaining +53% 2374m 29.57815984400804s remaining +56% 2134m 57.92683018799289s remaining +59% 1912m 2.920772464000038s remaining +63% 1706m 10.6780683399993s remaining +66% 1517m 17.10446299800242s remaining +69% 1340m 45.03388412100321s remaining +72% 1174m 10.256112376999226s remaining +75% 1017m 12.936817374000384s remaining +78% 869m 37.60555996900075s remaining +81% 728m 54.574350960996526s remaining +84% 594m 54.30369089799933s remaining +88% 466m 26.90374280299875s remaining +91% 343m 1.3866178060015955s remaining +94% 224m 21.671252726999228s remaining +97% 110m 11.976013082999998s remaining + +Took 3465m 43.55224178999197s to count circles + +Done counting circles! +sample points: +[303000000.0, 306000000.0, 309000000.0, 312000000.0, 315000000.0, 318000000.0, 321000000.0, 324000000.0, 327000000.0, 330000000.0, 333000000.0, 336000000.0, 339000000.0, 342000000.0, 345000000.0, 348000000.0, 351000000.0, 354000000.0, 357000000.0, 360000000.0, 363000000.0, 366000000.0, 369000000.0, 372000000.0, 375000000.0, 378000000.0, 381000000.0, 384000000.0, 387000000.0, 390000000.0, 393000000.0, 396000000.0, 399000000.0, 402000000.0, 405000000.0, 408000000.0, 411000000.0, 414000000.0, 417000000.0, 420000000.0, 423000000.0, 426000000.0, 429000000.0, 432000000.0, 435000000.0, 438000000.0, 441000000.0, 444000000.0, 447000000.0, 450000000.0, 453000000.0, 456000000.0, 459000000.0, 462000000.0, 465000000.0, 468000000.0, 471000000.0, 474000000.0, 477000000.0, 480000000.0, 483000000.0, 486000000.0, 489000000.0, 492000000.0, 495000000.0, 498000000.0, 501000000.0, 504000000.0, 507000000.0, 510000000.0, 513000000.0, 516000000.0, 519000000.0, 522000000.0, 525000000.0, 528000000.0, 531000000.0, 534000000.0, 537000000.0, 540000000.0, 543000000.0, 546000000.0, 549000000.0, 552000000.0, 555000000.0, 558000000.0, 561000000.0, 564000000.0, 567000000.0, 570000000.0, 573000000.0, 576000000.0, 579000000.0, 582000000.0, 585000000.0, 588000000.0, 591000000.0, 594000000.0, 597000000.0, 600000000.0] + +number of circles fewer than each of those sample points: +[21650622215, 21972971796, 22296873417, 22622395594, 22949453391, 23278101954, 23608267276, 23939966562, 24273195772, 24608001420, 24944294798, 25282144567, 25621502647, 25962354856, 26304662831, 26648507017, 26993821882, 27340641939, 27688889486, 28038633616, 28389825251, 28742470367, 29096582921, 29452148084, 29809103637, 30167530736, 30527354063, 30888621668, 31251313301, 31615402102, 31980911384, 32347817428, 32716104114, 33085759215, 33456801162, 33829240554, 34203037822, 34578219650, 34954741460, 35332624750, 35711861689, 36092404154, 36474312920, 36857599886, 37242171843, 37628098005, 38015347730, 38403940959, 38793835187, 39185048920, 39577544409, 39971335828, 40366453139, 40762832313, 41160528317, 41559484963, 41959754539, 42361302006, 42764119833, 43168166760, 43573508111, 43980103203, 44387976021, 44797076996, 45207396329, 45619000428, 46031850796, 46445932177, 46861279817, 47277853568, 47695617671, 48114636121, 48534847367, 48956290700, 49378935455, 49802754565, 50227809375, 50654070896, 51081526314, 51510216328, 51940053648, 52371048090, 52803282676, 53236696867, 53671304770, 54107065193, 54544002689, 54982140162, 55421412358, 55861845263, 56303422822, 56746177892, 57190098590, 57635137914, 58081360052, 58528722549, 58977280748, 59426930831, 59877708148, 60329652717] + +Built regression model! +Model info: + r^2: 0.9999999999059545 + p-value: 0 + intercept: -5.4954038932949345 + slope: 1.4999914869371653 +Fractal dimension: 1.4999914869371653