diff --git a/fractal_dimension/mcmullen_stuff/outputs/all_of_them.txt b/fractal_dimension/mcmullen_stuff/outputs/all_of_them.txt new file mode 100644 index 0000000..34abd18 --- /dev/null +++ b/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 diff --git a/fractal_dimension/mcmullen_stuff/outputs/cube.txt b/fractal_dimension/mcmullen_stuff/outputs/cube.txt new file mode 100644 index 0000000..130bd07 --- /dev/null +++ b/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 diff --git a/fractal_dimension/mcmullen_stuff/outputs/deca_pyramid.txt b/fractal_dimension/mcmullen_stuff/outputs/deca_pyramid.txt new file mode 100644 index 0000000..03fc282 --- /dev/null +++ b/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 diff --git a/fractal_dimension/mcmullen_stuff/outputs/dodecahedron.txt b/fractal_dimension/mcmullen_stuff/outputs/dodecahedron.txt new file mode 100644 index 0000000..7c77bfd --- /dev/null +++ b/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 diff --git a/fractal_dimension/mcmullen_stuff/outputs/hepta_pyramid.txt b/fractal_dimension/mcmullen_stuff/outputs/hepta_pyramid.txt new file mode 100644 index 0000000..318f4f6 --- /dev/null +++ b/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 diff --git a/fractal_dimension/mcmullen_stuff/outputs/hexa_pyramid.txt b/fractal_dimension/mcmullen_stuff/outputs/hexa_pyramid.txt new file mode 100644 index 0000000..283479f --- /dev/null +++ b/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 diff --git a/fractal_dimension/mcmullen_stuff/outputs/icosahedron.txt b/fractal_dimension/mcmullen_stuff/outputs/icosahedron.txt new file mode 100644 index 0000000..d591378 --- /dev/null +++ b/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 diff --git a/fractal_dimension/mcmullen_stuff/outputs/non_pyramid.txt b/fractal_dimension/mcmullen_stuff/outputs/non_pyramid.txt new file mode 100644 index 0000000..5aaa5fa --- /dev/null +++ b/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 +power method: 1834 +2 1.335 0.9945310845315907 +power method: 1835 +3 1.3299076011388453 1.0000070418783895 +power method: 1835 +4 1.3299141497752243 0.9999995048073632 +power method: 1835 +5 1.329913719523671 0.9999999999692455 +total (s): 736.315548 +total (m): 12.271926 diff --git a/fractal_dimension/mcmullen_stuff/outputs/octa_pyramid.txt b/fractal_dimension/mcmullen_stuff/outputs/octa_pyramid.txt new file mode 100644 index 0000000..0bad967 --- /dev/null +++ b/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 diff --git a/fractal_dimension/mcmullen_stuff/outputs/octahedron.txt b/fractal_dimension/mcmullen_stuff/outputs/octahedron.txt new file mode 100644 index 0000000..201a65b --- /dev/null +++ b/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 +power method: 3339 +power method: 10373 +1 1.33 1.0052932494289177 +power method: 36043 +2 1.34 0.9978691524351769 +power method: 2475 +3 1.337129822567486 0.9983311365755032 +power method: 10515 +4 1.3267616438339993 1.008621777392387 +power method: 10032 +5 1.3354483845914784 0.9998921136587031 +power method: 10121 +6 1.3353410287176775 0.999995093429842 +power method: 10140 +7 1.335335913643903 1.0000000051456732 +power method: 10044 +8 1.3353359190026206 0.9999999999997334 +total (s): 1089.656903 +total (m): 18.160948 + +maximum: 5000 +1875176 partitions +2187705 nodes +tree construction (s): 1090.308696 +tree construction (m): 18.171812 +construction (s): 1716.560658 +construction (m): 28.609344 +13126232 13126232 +power method: 4124 +power method: 10355 +1 1.33 1.005279967255252 +power method: 14226 +2 1.34 0.9989298631400935 +power method: 465 +3 1.338314772733644 0.9989322262215088 +power method: 17100 +4 0.5768338207256297 2.8077417940049028 +power method: 22551 +5 1.337865256428635 0.9989332659906811 +power method: 538 +6 1.3374164426918287 0.9989349342866751 +power method: 67306 +7 1.0508868793194313 1.419680072087069 +power method: 39362 +8 1.3366911275630615 0.998947248271551 +power method: 15119 +9 1.3359759922103978 0.9993913126307474 +power method: 18951 +10 1.334995742732011 1.0003214393213407 +power method: 18758 +11 1.335334503817209 0.9999968893113161 +power method: 19014 +12 1.3353312569207625 0.9999999881484876 +power method: 19081 +13 1.3353312445029968 1.0000000000000693 +total (s): 6507.107555 +total (m): 108.451793 diff --git a/fractal_dimension/mcmullen_stuff/outputs/penta_pyramid.txt b/fractal_dimension/mcmullen_stuff/outputs/penta_pyramid.txt new file mode 100644 index 0000000..a5d2743 --- /dev/null +++ b/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 +power method: 1738 +power method: 5079 +1 1.33 1.0106702419580131 +power method: 4786 +2 1.34 0.9996861181856164 +power method: 4846 +3 1.3397142404611533 0.9999855937259026 +power method: 4790 +4 1.339700493995453 1.0000000310424473 +power method: 4791 +5 1.339700523552465 0.9999999999972182 +total (s): 290.649945 +total (m): 4.844166 + +maximum: 3000 +1217218 partitions +1369371 nodes +tree construction (s): 492.185761 +tree construction (m): 8.203096 +construction (s): 784.145041 +construction (m): 13.069084 +10954898 10954962 +power method: 2029 +power method: 11113 +1 1.33 1.0106091804430042 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