Merge branch 'main' of github.com:William103/Circle-Packings into main

fractal_dimension/mcmullen_stuff/outputs/all_of_them.txt

@@ -0,0 +1,53 @@
+this is just information from the output files, but with only the maximum dual curvature and dimension for each polyhedron. 
+see the files for more specific information about the tree. a few of these polyhedra leave something to be desired.
+
+
+TETRAHEDRON
+5000 ---------- 1.3057041367429079
+10000 --------- 1.3056945947418308
+15000 --------- 1.3056910474399155
+20000 --------- 1.3056896683903787
+
+OCTAHEDRON
+2500 ---------- 1.3353359190026206
+5000 ---------- 1.3353312445029968
+
+CUBE
+2500 ---------- 1.4802234495575548
+5000 ---------- 1.4802359971633796
+
+ICOSAHEDRON 
+1000 ---------- 1.3726204936639725
+2000 ---------- 1.3728231189765656
+
+DODECAHEDRON
+300 ----------- 1.589896969189757
+600 ----------- 1.5938591950431464
+
+5-PYRAMID
+1500 ---------- 1.339700523552465
+3000 ---------- 1.3396616994126467
+
+6-PYRAMID
+1250 ---------- 1.3381827175930243
+2500 ---------- 1.33819986534749
+
+7-PYRAMID
+1250 ---------- 1.335397664652596
+2500 ---------- 1.3354199621878144
+
+8-PYRAMID 
+1000 ---------- 1.3298766340794246
+2000 ---------- 1.3297545877645773
+
+9-PYRAMID
+1000 ---------- 1.3299420983466024
+2000 ---------- 1.329913719523671
+
+10-PYRAMID
+1000 ---------- 1.3274131217172613
+2000 ---------- 1.3275024974284788
+
+6V6F1
+350 ----------- 1.3594650820734004
+700 ----------- 1.3597042007589697

fractal_dimension/mcmullen_stuff/outputs/cube.txt

@@ -0,0 +1,43 @@
+maximum: 2500
+1365042 partitions
+1706302 nodes
+tree construction (s): 463.360941
+tree construction (m): 7.722682
+construction (s): 605.559170
+construction (m): 10.092653
+6825210 6825210
+power method: 4407
+power method: 13502
+1 1.47 1.0085036683070148
+power method: 13693
+2 1.48 1.000181346502768
+power method: 14089
+3 1.4802179037377232 1.0000044974222053
+power method: 14111
+4 1.480223445214702 1.0000000035218675
+power method: 14263
+5 1.4802234495575548 1.0000000000001659
+total (s): 1385.549134
+total (m): 23.092486
+
+maximum: 5000
+3850074 partitions
+4812592 nodes
+tree construction (s): 2576.735597
+tree construction (m): 42.945593
+construction (s): 3125.389499
+construction (m): 52.089825
+19250370 19250370
+power method: 6340
+power method: 23536
+1 1.47 1.008512479512914
+power method: 27231
+2 1.48 1.0001912643304691
+power method: 26938
+3 1.4802298514414969 1.0000049760652068
+power method: 27260
+4 1.4802359911506147 1.0000000048684128
+power method: 27791
+5 1.4802359971633796 1.0000000000023999
+total (s): 7190.917409
+total (m): 119.848624

fractal_dimension/mcmullen_stuff/outputs/deca_pyramid.txt

@@ -0,0 +1,51 @@
+maximum: 1000
+515360 partitions
+543991 nodes
+tree construction (s): 24.397393
+tree construction (m): 0.406623
+construction (s): 97.009576
+construction (m): 1.616826
+9791840 9791840
+power method: 1086
+power method: 2675
+1 1.33 0.9970046342667572
+power method: 915
+2 1.34 0.9870002266197566
+power method: 938
+3 1.3270059539365724 1.000480072841444
+power method: 935
+4 1.327468725433586 0.9999346102205581
+power method: 935
+5 1.3274132486236947 0.9999998507584702
+power method: 935
+6 1.3274131217172613 1.0000000000464013
+total (s): 191.602380
+total (m): 3.193373
+
+maximum: 2000
+1332434 partitions
+1406458 nodes
+tree construction (s): 117.277209
+tree construction (m): 1.954620
+construction (s): 388.823073
+construction (m): 6.480385
+25316246 25316246
+power method: 2388
+power method: 22677
+1 1.33 0.9971704986677783
+power method: 1297
+2 1.34 0.9923714310874538
+power method: 2249
+3 1.3241040602474066 1.0040339113549652
+power method: 1747
+4 1.3296022742117601 0.9976106778314784
+power method: 1737
+5 1.3275570419367277 0.99993675903334
+power method: 1737
+6 1.3275014366268125 1.0000012304606933
+power method: 1737
+7 1.3275024978744225 0.9999999994827344
+power method: 1737
+8 1.3275024974284788 0.9999999999999946
+total (s): 1524.221648
+total (m): 25.403694

fractal_dimension/mcmullen_stuff/outputs/dodecahedron.txt

@@ -0,0 +1,45 @@
+maximum: 300
+126002 partitions
+138602 nodes
+tree construction (s): 3.010812
+tree construction (m): 0.050180
+construction (s): 12.040101
+construction (m): 0.200668
+1386022 1386022
+power method: 110
+power method: 240
+1 1.55 1.0456220087777817
+power method: 240
+2 1.59 0.9998871956152747
+power method: 238
+3 1.5899013404652387 0.9999952134721684
+power method: 238
+4 1.5898969686268911 1.0000000006163359
+power method: 238
+5 1.589896969189757 1.0000000000000033
+total (s): 14.173733
+total (m): 0.236229
+
+maximum: 600
+405842 partitions
+446426 nodes
+tree construction (s): 13.862549
+tree construction (m): 0.231042
+construction (s): 52.101514
+construction (m): 0.868359
+4464262 4464262
+power method: 156
+power method: 392
+1 1.55 1.0498330317206817
+power method: 432
+2 1.59 1.0041788438131205
+power method: 434
+3 1.5936613016283034 1.0002132419611682
+power method: 434
+4 1.593858180480189 1.0000010929612244
+power method: 434
+5 1.5938591947718004 1.0000000002923137
+power method: 434
+6 1.5938591950431464 1.000000000000002
+total (s): 67.500672
+total (m): 1.125011

fractal_dimension/mcmullen_stuff/outputs/hepta_pyramid.txt

@@ -0,0 +1,49 @@
+maximum: 1250
+504314 partitions
+546340 nodes
+tree construction (s): 36.755616
+tree construction (m): 0.612594
+construction (s): 96.386400
+construction (m): 1.606440
+6556082 6556082
+power method: 1734
+power method: 5168
+1 1.33 1.0062652631053204
+power method: 2719
+2 1.34 0.9950186056479078
+power method: 2618
+3 1.3355707779213912 0.9998050480083339
+power method: 2681
+4 1.3353903755263064 1.00000821844474
+power method: 2643
+5 1.3353976729812964 0.999999990609442
+power method: 2679
+6 1.335397664652596 0.9999999999997068
+total (s): 252.803708
+total (m): 4.213395
+
+maximum: 2500
+1306154 partitions
+1415000 nodes
+tree construction (s): 194.192925
+tree construction (m): 3.236549
+construction (s): 410.127310
+construction (m): 6.835455
+16980002 16980002
+power method: 2431
+power method: 60638
+1 1.33 1.0062674000294765
+power method: 5636
+2 1.34 0.9957899535004028
+power method: 4707
+3 1.3359818010161972 0.9993762693721844
+power method: 4882
+4 1.335282957449579 1.0001531050171808
+power method: 4954
+5 1.3354206911606452 0.9999991863647293
+power method: 5009
+6 1.3354199630812116 0.9999999990028443
+power method: 4869
+7 1.3354199621878144 0.9999999999996702
+total (s): 2363.029476
+total (m): 39.383825

fractal_dimension/mcmullen_stuff/outputs/hexa_pyramid.txt

@@ -0,0 +1,47 @@
+maximum: 1250
+436032 partitions
+479635 nodes
+tree construction (s): 38.265575
+tree construction (m): 0.637760
+construction (s): 87.875251
+construction (m): 1.464588
+4796352 4796352
+power method: 1588
+power method: 4147
+1 1.33 1.009358883492426
+power method: 3227
+2 1.34 0.998029858296399
+power method: 3140
+3 1.3382609786195092 0.9999140640084864
+power method: 3185
+4 1.3381816642826312 1.0000011572115455
+power method: 3143
+5 1.3381827181360104 0.9999999994034523
+power method: 3173
+6 1.3381827175930243 1.000000000000135
+total (s): 214.970571
+total (m): 3.582843
+
+maximum: 2500
+1129092 partitions
+1242001 nodes
+tree construction (s): 185.907662
+tree construction (m): 3.098461
+construction (s): 373.589882
+construction (m): 6.226498
+12420012 12420012
+power method: 2078
+power method: 10809
+1 1.33 1.009355006132348
+power method: 5963
+2 1.34 0.9980819109798906
+power method: 6079
+3 1.3382985249444195 0.9998927162789614
+power method: 5872
+4 1.3381977186482865 1.0000023364956532
+power method: 5917
+5 1.3381998672799882 0.9999999978966435
+power method: 5792
+6 1.33819986534749 0.9999999999997438
+total (s): 1036.800057
+total (m): 17.280001

fractal_dimension/mcmullen_stuff/outputs/icosahedron.txt

@@ -0,0 +1,51 @@
+maximum: 1000
+577190 partitions
+609256 nodes
+tree construction (s): 87.107521
+tree construction (m): 1.451792
+construction (s): 436.545499
+construction (m): 7.275758
+10966610 10966610
+power method: 1000
+power method: 1114
+1 1.33 1.0644003457975857
+power method: 3600
+2 1.34 1.0482971338112106
+power method: 5564
+3 1.369992236239624 1.0036077873738338
+power method: 5858
+4 1.3724135205018582 1.0002816815640225
+power method: 5862
+5 1.3726185744529134 1.0000026098971535
+power method: 5862
+6 1.3726204921313692 1.000000002084157
+power method: 5862
+7 1.3726204936639725 1.0000000000000153
+total (s): 874.840292
+total (m): 14.580672
+
+maximum: 2000
+1524602 partitions
+1609302 nodes
+tree construction (s): 441.319639
+tree construction (m): 7.355327
+construction (s): 1682.914086
+construction (m): 28.048568
+28967438 28967438
+power method: 1598
+power method: 1760
+1 1.33 1.0644694209403271
+power method: 5316
+2 1.34 1.0483700411183219
+power method: 10400
+3 1.3700446611317338 1.0037613452236864
+power method: 11660
+4 1.3725779865378844 1.0003281289802173
+power method: 11678
+5 1.3728201086249099 1.0000040246489668
+power method: 11678
+6 1.3728231152382544 1.0000000049978848
+power method: 11678
+7 1.3728231189765656 1.0000000000000757
+total (s): 4017.016033
+total (m): 66.950267

fractal_dimension/mcmullen_stuff/outputs/non_pyramid.txt

@@ -0,0 +1,43 @@
+maximum: 1000
+469346 partitions
+498680 nodes
+tree construction (s): 25.326931
+tree construction (m): 0.422116
+construction (s): 85.725265
+construction (m): 1.428754
+7978882 7978882
+power method: 1032
+power method: 1497
+1 1.33 0.9999325229408322
+power method: 1028
+2 1.335 0.9943068421502383
+power method: 1028
+3 1.3299400276502709 1.00000241395464
+power method: 1028
+4 1.3299421722187446 0.9999999138821093
+power method: 1028
+5 1.3299420983466024 0.9999999999989756
+total (s): 148.960429
+total (m): 2.482674
+
+maximum: 2000
+1220848 partitions
+1297151 nodes
+tree construction (s): 147.495754
+tree construction (m): 2.458263
+construction (s): 380.946117
+construction (m): 6.349102
+20754384 20754416
+power method: 1853
+power method: 4862
+1 1.33 0.9999007694458327
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+4 1.3299141497752243 0.9999995048073632
+power method: 1835
+5 1.329913719523671 0.9999999999692455
+total (s): 736.315548
+total (m): 12.271926

fractal_dimension/mcmullen_stuff/outputs/octa_pyramid.txt

@@ -0,0 +1,25 @@
+maximum: 1000
+356778 partitions
+construction (s): 51.384282
+construction (m): 0.856405
+5351670 5351670
+1 1.32 1.0122930031917172
+2 1.33 0.9998528833932411
+3 1.329881740200945 0.9999939068996961
+4 1.3298766306356273 1.0000000041094599
+5 1.3298766340794246 0.9999999999998865
+total (s): 163.450382
+total (m): 2.724173
+
+maximum: 2000
+929994 partitions
+construction (s): 239.227043
+construction (m): 3.987117
+13949910 13949910
+1 1.32 1.0120934906148
+2 1.33 0.9997110999314703
+3 1.329766684741325 0.9999857332806543
+4 1.3297545644240931 1.0000000275268892
+5 1.3297545877645773 0.9999999999974427
+total (s): 1035.351923
+total (m): 17.255865

fractal_dimension/mcmullen_stuff/outputs/octahedron.txt

@@ -0,0 +1,65 @@
+maximum: 2500
+731336 partitions
+853225 nodes
+tree construction (s): 221.019427
+tree construction (m): 3.683657
+construction (s): 379.343335
+construction (m): 6.322389
+5119352 5119352
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+power method: 10044
+8 1.3353359190026206 0.9999999999997334
+total (s): 1089.656903
+total (m): 18.160948
+
+maximum: 5000
+1875176 partitions
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+tree construction (s): 1090.308696
+tree construction (m): 18.171812
+construction (s): 1716.560658
+construction (m): 28.609344
+13126232 13126232
+power method: 4124
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fractal_dimension/mcmullen_stuff/outputs/penta_pyramid.txt

@@ -0,0 +1,43 @@
+maximum: 1500
+473082 partitions
+532217 nodes
+tree construction (s): 77.919279
+tree construction (m): 1.298655
+construction (s): 148.136053
+construction (m): 2.468934
+4257738 4257738
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+5 1.339700523552465 0.9999999999972182
+total (s): 290.649945
+total (m): 4.844166
+
+maximum: 3000
+1217218 partitions
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+tree construction (s): 492.185761
+tree construction (m): 8.203096
+construction (s): 784.145041
+construction (m): 13.069084
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+total (m): 25.069197

fractal_dimension/mcmullen_stuff/outputs/tetrahedron.txt

@@ -0,0 +1,301 @@
+maximum: 5000
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+tree construction (s): 884.354579
+tree construction (m): 14.739243
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+construction (m): 25.183570
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+maximum: 10000
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+maximum: 15000
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