Indexing algorithm tested on the 50-cell skeleton of great circles
without any deadlocks or label mismatchesfeature-120-cell-index
parent
43ed181d75
commit
c093c89ce6
11
colours.js
11
colours.js
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@ -7,3 +7,14 @@ export const get_colours = (basis) => {
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return scheme.colors().map((cs) => parseInt('0x' + cs));
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}
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export const get_plain_colours = (basis) => {
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return [
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basis,
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0xffffff,
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0x00ff00,
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0xff0000,
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0x0000ff,
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0xff9900,
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0x000000,
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]
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}
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138
polytopes.js
138
polytopes.js
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@ -370,79 +370,68 @@ function manual_label_120cell(nodes, links) {
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}
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function meridian_label_120cell(nodes, links) {
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function meridian_label_120cell(nodes) {
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const DODECAS = [
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[
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313, 1, 317, 221, 217, 417,
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341, 421, 165, 161, 465, 469,
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37, 269, 33, 113, 117, 517,
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365, 513
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],
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[
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513, 365, 517, 117, 113, 577,
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15, 581, 565, 561, 397, 399,
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85, 389, 81, 301, 303, 213,
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293, 209
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],
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[
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301, 209, 293, 213, 303,
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211, 309, 294, 311, 215,
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310, 210, 214, 312, 295,
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212, 302, 304, 216, 296
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],
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[
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304, 302, 212, 296, 216, 400,
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398, 84, 392, 88, 16, 580,
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564, 568, 584, 368, 516, 116,
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120, 520
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],
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[
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368, 516, 116, 120, 520, 272,
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36, 468, 472, 40, 164, 420,
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344, 424, 168, 220, 316, 4,
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320, 224
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],
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[
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316, 4, 320, 224, 220, 412,
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340, 416, 160, 156, 460, 464,
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32, 268, 28, 108, 112, 512,
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364, 508
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],
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[
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508, 364, 512, 112, 108, 572,
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14, 576, 560, 556, 394, 396,
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80, 388, 76, 298, 300, 208,
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292, 204
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],
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[
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300, 298, 204, 292, 208,
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206, 202, 306, 291, 308,
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290, 305, 203, 207, 307,
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289, 201, 297, 299, 205
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],
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[
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299, 297, 201, 289, 205, 395,
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393, 73, 385, 77, 13, 569,
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553, 557, 573, 361, 505, 105,
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109, 509
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],
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[
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361, 505, 105, 109, 509, 265,
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25, 457, 461, 29, 153, 409,
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337, 413, 157, 217, 313, 1,
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317, 221
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]
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]
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const MERIDIAN_COLOURED ={"1":[27,38,49,61,68,74,87,105,120,126,131,140,149,156,165,174,179,185,200,207,210,218,223,226,231,234,239,241,253,258,263,265,272,274,279,284,285,289,296,300,301,306,311,313,320,324,325,331,334,339,342,347,350,356,357,367,369,376,378,383,388,389,393,400,413,414,419,420,425,440,449,453,458,460,469,471,473,474,487,488,490,494,499,503,511,512,513,514,525,527,530,532,539,543,546,550,555,558,563,566,572,573,580,581,592,593],"2":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,21,22,23,24,25,28,30,31,34,35,37,40,41,46,47,50,51,53,56,57,60,62,63,66,67,69,72,73,76,78,83,85,88,90,93,97,103,106,107,109,112,113,116,118,119,122,123,125,129,132,134,135,138,139,141,144,145,148,150,151,155,157,160,161,164,166,167,170,171,173,177,180,182,183,187,189,192,193,196,198,202,203,205,208,209,212,214,215],"3":[26,39,45,52,64,65,94,99,108,117,127,130,137,152,153,168,175,178,188,197,206,211,219,222,227,230,235,238,245,251,268,269,273,280,283,286,292,293,299,302,305,312,316,317,321,328,330,335,349,355,358,363,366,370,375,377,384,385,392,394,399,404,405,415,416,417,418,426,437,439,441,445,452,456,457,459,470,472,475,485,486,491,495,498,502,509,510,515,516,526,529,531,538,542,547,551,554,559,562,567,569,576,577,584,588,597],"4":[32,33,43,54,58,71,77,84,101,110,115,121,136,143,146,159,162,169,184,204,213,220,221,228,229,236,237,249,260,261,271,276,277,281,288,290,295,297,304,308,309,315,318,322,327,329,336,340,341,351,354,359,361,368,371,374,379,382,387,390,396,397,409,410,423,424,430,433,435,443,447,450,454,461,463,466,468,477,478,483,484,489,493,500,504,507,508,517,518,522,533,535,540,544,545,549,553,560,561,568,570,583,587,590,595,598],"5":[29,36,42,55,59,70,80,81,89,111,114,133,142,147,163,181,191,194,201,216,217,224,225,232,233,240,243,246,255,267,270,275,278,282,287,291,294,298,303,307,310,314,319,323,326,332,333,337,344,345,352,353,360,364,365,372,373,380,381,395,398,402,407,411,412,421,422,429,436,442,446,451,455,462,464,465,467,479,481,482,492,496,497,501,505,506,519,520,521,523,534,536,537,541,548,552,556,557,564,565,574,579,586,591,594,599]};
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let col = 1;
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for( const dd of DODECAS ) {
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label_nodes(nodes, dd, 5);
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col++;
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if( col > 5 ) {
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col = 1;
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}
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}
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for( const cstr in MERIDIAN_COLOURED ) {
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label_nodes(nodes, MERIDIAN_COLOURED[cstr], Number(cstr));
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}
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//label_nodes(nodes, [313], 6);
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}
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function arctic_label_120cell(nodes) {
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const ARCTIC_COLOURED ={
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'1': [
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49, 105, 131, 149, 165, 223,
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241, 253, 265, 279, 301, 313,
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325, 347, 367, 389, 413, 425,
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449, 453, 469, 473, 487, 513,
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581, 593
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],
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'2': [
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1, 5, 7, 15, 19, 25, 35,
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37, 41, 53, 69, 85, 93, 97,
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109, 113, 129, 135, 145, 155, 157,
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161, 167, 173, 177, 209
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],
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'3': [
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39, 45, 65, 117, 153, 219,
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245, 251, 269, 293, 317, 321,
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349, 375, 399, 417, 437, 441,
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445, 457, 485, 509, 515, 529,
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577, 597
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],
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'4': [
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33, 101, 159, 169, 213, 221,
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229, 249, 271, 277, 329, 341,
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351, 361, 397, 409, 433, 461,
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477, 483, 517, 533, 545, 549,
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561, 583
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],
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'5': [
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29, 81, 89, 133, 163, 181,
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217, 225, 255, 267, 303, 333,
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337, 345, 365, 373, 421, 429,
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465, 481, 497, 501, 505, 519,
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565, 579
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]
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}
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for( const cstr in ARCTIC_COLOURED ) {
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label_nodes(nodes, ARCTIC_COLOURED[cstr], Number(cstr));
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}
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}
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function link_labels(nodes, link) {
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const n1 = nodes.filter((n) => n.id === link.source);
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const n2 = nodes.filter((n) => n.id === link.target);
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return [ n1[0].label, n2[0].label ];
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}
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@ -451,7 +440,12 @@ export const cell120 = () => {
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const nodes = make_120cell_vertices();
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const links = auto_detect_edges(nodes, 4);
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meridian_label_120cell(nodes, links);
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meridian_label_120cell(nodes);
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// const links = links_all.filter((l) => {
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// const labels = link_labels(nodes, l);
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// return ( labels[0] > 0 && labels[1] > 0 );
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// });
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return {
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nodes: nodes,
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199
testbed.js
199
testbed.js
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@ -471,7 +471,6 @@ function find_adjacent_nodes(links, nid) {
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function colour_next_dodeca_maybe(nodes, links, faces, colours, dd, nextf, nextdd) {
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const lastvs = dodecahedron_vertices(dd);
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const nextvs = dodecahedron_vertices(nextdd);
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console.log(`maybe: vertices = ${nextvs}`);
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// get the initial colour permutations from the existing labels;
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const p = [];
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for( i = 0; i < 5; i ++ ) {
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@ -487,9 +486,9 @@ function colour_next_dodeca_maybe(nodes, links, faces, colours, dd, nextf, nextd
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const nextcol = nlabels[nextns[0]];
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if( lastcol === nextcol ) {
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// one node in the adjoining face has two same-coloured neighbours
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console.log('chirality mismatch');
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console.log(` test node ${n}`);
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console.log(` neighbours ${lastns[0]} ${nextns[0]}`);
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// console.log('chirality mismatch');
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// console.log(` test node ${n}`);
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// console.log(` neighbours ${lastns[0]} ${nextns[0]}`);
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return false;
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}
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return nlabels;
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@ -499,23 +498,56 @@ function colour_next_dodeca_maybe(nodes, links, faces, colours, dd, nextf, nextd
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function meridian(nodes, links, faces, startf, startn, dir=11, max=10) {
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const o = face_plus_to_dodecahedron(faces, startf, startn);
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const colours = colour_dodecahedron_from_face(o, [ 1, 2, 3, 4, 5 ] );
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const dds = follow_meridian(nodes, links, faces, colours, o, dir, max);
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const labels = { 1: [], 2:[], 3:[], 4:[], 5:[] };
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for( const vstr in colours ) {
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labels[colours[vstr]].push(Number(vstr));
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}
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return { dodecahedra: dds, labels: labels };
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}
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function all_meridians(nodes, links, faces, startf, startn) {
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const o = face_plus_to_dodecahedron(faces, startf, startn);
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const colours = colour_dodecahedron_from_face(o, [ 1, 2, 3, 4, 5 ] );
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// first meridian
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const dds = follow_meridian(nodes, links, faces, colours, o, 11, 10);
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for ( const f of [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ] ) {
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follow_meridian(nodes, links, faces, colours, o, f, 4);
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}
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const labels = { 1: [], 2:[], 3:[], 4:[], 5:[] };
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for( const vstr in colours ) {
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labels[colours[vstr]].push(Number(vstr));
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}
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return labels;
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}
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// go along a meridian
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// modifies colours
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function meridian(nodes, links, faces, startf, startn, max) {
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console.log(startf);
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const dds = [ face_plus_to_dodecahedron(faces, startf, startn) ];
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// colour first cell
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const colours = colour_dodecahedron_from_face(dds[0], [ 1, 2, 3, 4, 5 ] );
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const vs = dodecahedron_vertices(dds[0]);
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console.log(`vertices: ${vs}`);
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function follow_meridian(nodes, links, faces, colours, odd, dir, max) {
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let ncolours = {};
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const dds = [ odd ];
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while( ncolours && dds.length < max ) {
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const dd = dds[dds.length - 1];
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const nextf = dd[11]; // opposite to startf
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const nextf = dds.length === 1 ? dd[dir] : dd[11];
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let nextdd = follow_face_to_dodeca(faces, dd, nextf);
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ncolours = colour_next_dodeca_maybe(nodes, links, faces, colours, dd, nextf, nextdd);
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@ -523,20 +555,52 @@ function meridian(nodes, links, faces, startf, startn, max) {
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if( !ncolours ) {
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nextdd = follow_face_to_dodeca(faces, dd, nextf, true);
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ncolours = colour_next_dodeca_maybe(nodes, links, faces, colours, dd, nextf, nextdd);
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if( !ncolours ) {
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console.log("*** two mismatches");
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}
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}
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for( const vertex in ncolours ) {
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if( vertex in colours ) {
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if( colours[vertex] !== ncolours[vertex] ) {
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console.log(`*** label mismatch at ${vertex}: ${colours[vertex]}/${ncolours[vertex]}`);
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}
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} else {
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colours[vertex] = ncolours[vertex];
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}
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}
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dds.push(nextdd);
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}
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return dds;
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}
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// "arctic circle" - this one works
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function arctic(nodes, links, faces, startf, startn, max) {
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console.log(startf);
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const pole = face_plus_to_dodecahedron(faces, startf, startn);
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const dds = [ pole ];
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// colour first cell
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const colours = colour_dodecahedron_from_face(dds[0], [ 1, 2, 3, 4, 5 ] );
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const vs = dodecahedron_vertices(dds[0]);
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let ncolours = {};
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for( const face of pole ) {
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let nextdd = follow_face_to_dodeca(faces, pole, face);
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ncolours = colour_next_dodeca_maybe(nodes, links, faces, colours, pole, face, nextdd);
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if( !ncolours ) {
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nextdd = follow_face_to_dodeca(faces, pole, face, true);
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ncolours = colour_next_dodeca_maybe(nodes, links, faces, colours, pole, face, nextdd);
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if( !ncolours ) {
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console.log("two mismatches");
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}
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}
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// const nextvs = dodecahedron_vertices(nextdd);
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// // get the initial colour permutations from the existing labels;
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// const p = [];
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// for( i = 0; i < 5; i ++ ) {
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// p[i] = labels[nextvs[i]];
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// }
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// console.log(`vertices: ${nextvs}`);
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// console.log(`Next colour permutation ${p}`);
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// const nlabels = colour_dodecahedron_from_face(nextdd, p);
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for( const vertex in ncolours ) {
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if( vertex in colours ) {
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if( colours[vertex] !== ncolours[vertex] ) {
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@ -564,8 +628,64 @@ function meridian(nodes, links, faces, startf, startn, max) {
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// this one breaks but I don't know if it's because of the traversal
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// algorithm or the indexing algorithm
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function whole_120_cell(nodes, links, faces, startf, startn, max) {
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const pole = face_plus_to_dodecahedron(faces, startf, startn);
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const dds = [ pole ];
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const queue = [ pole ];
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const seen = {};
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// colour first cell
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const colours = colour_dodecahedron_from_face(pole, [ 1, 2, 3, 4, 5 ] );
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let ncolours = {};
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while( ncolours && queue.length > 0 ) {
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const dd = queue.shift();
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for( const face of dd ) {
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let nextdd = follow_face_to_dodeca(faces, dd, face);
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const fp = dd_fingerprint(nextdd);
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if( ! (fp in seen) ) {
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seen[fp] = true;
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ncolours = colour_next_dodeca_maybe(nodes, links, faces, colours, pole, face, nextdd);
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if( !ncolours ) {
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nextdd = follow_face_to_dodeca(faces, pole, face, true);
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ncolours = colour_next_dodeca_maybe(nodes, links, faces, colours, pole, face, nextdd);
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if( !ncolours ) {
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console.log("two mismatches");
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}
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}
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for( const vertex in ncolours ) {
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if( vertex in colours ) {
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if( colours[vertex] !== ncolours[vertex] ) {
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console.log(`label mismatch at ${vertex}: ${colours[vertex]}/${ncolours[vertex]}`);
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}
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} else {
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colours[vertex] = ncolours[vertex];
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}
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}
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dds.push(nextdd);
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queue.push(nextdd);
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}
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}
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}
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const labels = { 1: [], 2:[], 3:[], 4:[], 5:[] };
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for( const vstr in colours ) {
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labels[colours[vstr]].push(Number(vstr));
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}
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return { dodecahedra: dds, labels: labels };
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function collate_labels(labels) {
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}
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@ -624,6 +744,28 @@ function make_120cell_cells(faces) {
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}
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function dodeca_travers(nodes, links, n, fn) {
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const queue = [];
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const seen = {};
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const nodes_id = {};
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queue.push(n.id);
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while( queue.length > 0 ) {
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const v = queue.shift();
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find_adjacent(links, v).map((aid) => {
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if( !(aid in seen) ) {
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seen[aid] = true;
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queue.push(aid);
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fn(nodes_id[aid]);
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}
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})
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}
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}
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const cell120 = () => {
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const nodes = make_120cell_vertices();
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const links = auto_detect_edges(nodes, 4);
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||||
|
@ -656,3 +798,6 @@ const links = auto_detect_edges(nodes, 4);
|
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const faces = auto_120cell_faces(links);
|
||||
//const dodecas = make_120cell_cells(faces);
|
||||
|
||||
const colours = all_meridians(nodes, links, faces, faces[0], 341);
|
||||
|
||||
console.log(JSON.stringify(colours));
|
Loading…
Reference in New Issue