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platonic solids; dodecahedron being weird

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William Ball 2021-08-07 09:24:22 -07:00
parent 8294f1c183
commit 28b6241466
6 changed files with 1878 additions and 1421 deletions
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426
fractal_dimension/circle_counting_new/data/dodecahedron.txt
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@ -1,313 +1,119 @@
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{{0, 13, 8, 9, 14}, {0, 14, 3, 7, 15}, {0, 15, 6, 2, 13}, {1, 4, 10, {{0, 13, 8, 9, 14}, {0, 14, 3, 7, 15}, {0, 15, 6, 2, 13}, {1, 4, 10,
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281
fractal_dimension/circle_counting_new/data/icosahedron.txt
View file

@ -1,250 +1,37 @@
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583
fractal_dimension/circle_counting_new/data/square_triangle.txt
View file

@ -1,463 +1,122 @@
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0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0037870753815448`, 0, 0, 0, 0, 0, 0,
0.6214225308522372`, -0.6176354554706924`, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0,
6.907584383229017`, 0, 0, 0, -2.157228350276645`, 0, 0, 7.963853055072908`,
0.12257440128460217`, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 6.97510487917368`, 0,
0, 0, -2.183310745689972`, 0, 0, 7.451146243970997`, 0.7689521148761846`, 0,
0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, -0.6190780356641179`, 0, 0, 0, 0, 0, 0,
0.6190780356641153`, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 5.47736949478967`,
0, 0, 0, -1.`, 0, 0, 4.33891886198961`, -1.8389452818799956`, 0, 0}, {0, 0, 0,
0, 0, 0, 0, 0, 0, 4.147606784379952`, 0, 0, 0, -0.7957516686318151`, 0, 0,
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0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0,
0, 0, 0, 0, 0, 0, 0, 2.5639848566173162`, 0, 0, 0, -0.7957516686318153`, 0, 0,
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2.5891597859101054`, 0, 0, 0, -0.8085606110634926`, 0, 0, 2.3793722701563462`,
1.2764343729277021`, 0, 0}}}
{{583.2511030315829`, 420.1029866690154`, -462.9475080162928`, {{0, 2, 13}, {0, 13, 8, 9, 14}, {0, 14, 3, 7, 15}, {0, 15, 6, 2}, {1,
175.23166147437576`}, {-26.21167963224707`, -18.94466064956532`, 4, 10, 11, 5}, {1, 5, 19, 17, 12}, {1, 12, 16, 18, 4}, {2, 6, 10, 4,
20.87674621756514`, -7.857025076668037`}, {411.8916483442542`, 18}, {2, 18, 16, 8, 13}, {3, 14, 9, 17, 19}, {3, 19, 5, 11, 7}, {6,
297.69734758514994`, -328.0582371012457`, 122.4656861107742`}, 15, 7, 11, 10}, {8, 16, 12, 17, 9}}
{508.4532627352364`, 363.43746374469583`, -401.20885666688855`,
154.34836433619876`}, {70.11015517983537`, 50.31982272378514`,
-56.15767582208764`, 19.37126805472377`}, {84.36390227718857`,
57.96638761857412`, -65.02365041366693`, 25.752583313062132`},
{560.8770908261515`, 401.3803578262633`, -444.560263626376`,
165.8077785171772`}, {515.1436177034448`, 366.37969251471236`,
-406.0751574277024`, 154.40895950421316`}, {506.5163913212939`,
369.22251919837606`, -404.24195527713505`, 153.6447187918854`},
{510.33878885103286`, 370.2953418298175`, -405.73340424433763`,
156.06883400253537`}, {243.7750277311411`, 172.5354383797021`,
-192.46155018671652`, 70.84760387862883`}, {253.87531419006245`,
178.16011387958815`, -198.94618242019078`, 75.17892914739718`},
{72.93141876740674`, 55.23284984849079`, -59.01113272558041`,
23.385814428020012`}, {962.2126499425704`, 697.4454037906874`,
-766.3709301356149`, 289.42596223348`}, {668.2804265771542`,
481.2792058399525`, -529.6370929005627`, 202.76839695889214`},
{732.23654551348`, 523.7859969101271`, -579.4495345414231`,
218.57375388077855`}, {233.54096238074067`, 172.5728706189725`,
-187.84605702107024`, 70.83567707588668`}, {244.29087345473727`,
177.6384889323599`, -193.90040364063088`, 76.1517897916226`},
{229.93731902175506`, 168.16156481904193`, -184.58591205576374`,
67.79130067741697`}, {250.586146838049`, 178.77781056128197`,
-197.01060100570703`, 77.37613184998168`}}
{{0, 2, 13}, {0, 13, 8, 9, 14}, {0, 14, 3, 7, 15}, {0, 15, 6, 2}, {1, 4, 10,
11, 5}, {1, 5, 19, 17, 12}, {1, 12, 16, 18, 4}, {2, 6, 10, 4, 18}, {2, 18, 16,
8, 13}, {3, 14, 9, 17, 19}, {3, 19, 5, 11, 7}, {6, 15, 7, 11, 10}, {8, 16, 12,
17, 9}}

2
fractal_dimension/circle_counting_new/src/main.rs
View file

@ -129,7 +129,7 @@ fn main() {
let generators = geometric_generators(&gram_matrix, &faces, &temp); let generators = geometric_generators(&gram_matrix, &faces, &temp);
for gen in generators { for gen in generators {
if gen[(1, 0)].abs() <= 1e-8 { if gen[(1, 0)].abs() <= 1e-8 || !gen[(1, 0)].is_finite() {
valid = false; valid = false;
break; break;
} }

738
fractal_dimension/fractal_dimension.nb
View file

File diff suppressed because it is too large Load diff

1279
root_tuple.nb
View file

File diff suppressed because it is too large Load diff