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Merge branch 'feature-120-cell-index'

experiments-120-cell
Mike Lynch 2023-09-01 18:07:59 +10:00
parent f3bd62d2c2 1581f3d31f
commit f9d59a777d
7 changed files with 408 additions and 1845 deletions
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1
cellindex.js 100644
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@ -0,0 +1 @@
export const INDEX = {"1": [ 27,38,48,49,61,68,74,87,95,98,105,120, 126,131,140,149,156,165,174,179,185,200,207,210,218,223,226,231,234,239,241,248,252,253,258,263,265,272,274,279,284,285,289,296,300,301,306,311,313,320,324,325,331,334,339,342,347,350,356,357,362,367,369,376,378,383,388,389,393,400,403,406,413,414,419,420,425,427,438,440,444,448,449,453,458,460,469,471,473,474,487,488,490,494,499,503,511,512,513,514,525,527,530,532,539,543,546,550,555,558,563,566,572,573,580,581,585,592,593,600],"2":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,30,31,34,35,37,40,41,44,46,47,50,51,53,56,57,60,62,63,66,67,69,72,73,76,78,79,82,83,85,88,90,91,93,96,97,100,102,103,106,107,109,112,113,116,118,119,122,123,125,128,129,132,134,135,138,139,141,144,145,148,150,151,154,155,157,160,161,164,166,167,170,171,173,176,177,180,182,183,186,187,189,192,193,196,198,199,202,203,205,208,209,212,214,215],"3":[26,39,45,52,64,65,75,86,94,99,108,117,127,130,137,152,153,168,175,178,188,197,206,211,219,222,227,230,235,238,244,245,251,254,257,264,268,269,273,280,283,286,292,293,299,302,305,312,316,317,321,328,330,335,338,343,348,349,355,358,363,366,370,375,377,384,385,392,394,399,404,405,415,416,417,418,426,428,437,439,441,445,452,456,457,459,470,472,475,476,485,486,491,495,498,502,509,510,515,516,526,528,529,531,538,542,547,551,554,559,562,567,569,576,577,584,588,589,596,597],"4":[32,33,43,54,58,71,77,84,92,101,110,115,121,136,143,146,159,162,169,184,190,195,204,213,220,221,228,229,236,237,242,247,249,256,260,261,266,271,276,277,281,288,290,295,297,304,308,309,315,318,322,327,329,336,340,341,346,351,354,359,361,368,371,374,379,382,387,390,396,397,401,408,409,410,423,424,430,432,433,435,443,447,450,454,461,463,466,468,477,478,483,484,489,493,500,504,507,508,517,518,522,524,533,535,540,544,545,549,553,560,561,568,570,575,578,583,587,590,595,598],"5":[29,36,42,55,59,70,80,81,89,104,111,114,124,133,142,147,158,163,172,181,191,194,201,216,217,224,225,232,233,240,243,246,250,255,259,262,267,270,275,278,282,287,291,294,298,303,307,310,314,319,323,326,332,333,337,344,345,352,353,360,364,365,372,373,380,381,386,391,395,398,402,407,411,412,421,422,429,431,434,436,442,446,451,455,462,464,465,467,479,480,481,482,492,496,497,501,505,506,519,520,521,523,534,536,537,541,548,552,556,557,564,565,571,574,579,582,586,591,594,599]};

11
colours.js
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@ -7,3 +7,14 @@ export const get_colours = (basis) => {
return scheme.colors().map((cs) => parseInt('0x' + cs));
}
export const get_plain_colours = (basis) => {
return [
basis,
0xffffff,
0x00ff00,
0xff0000,
0x0000ff,
0xff9900,
0x000000,
]
}

1682
dodecahedra.js
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File diff suppressed because it is too large Load Diff

7
main.js
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@ -35,11 +35,18 @@ scene.background = new THREE.Color(0x808080);
const material = new THREE.MeshStandardMaterial({ color: 0x3293a9 });
const node_colours = get_colours(0x3293a9);
console.log(node_colours);
material.transparent = true;
material.opacity = 0.5;
const node_ms = node_colours.map((c) => new THREE.MeshStandardMaterial({color: c}));
node_ms[0].transparent = true;
node_ms[0].opacity = 0.0;
const link_ms = [ material ];

3
package.json
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@ -6,5 +6,6 @@
},
"devDependencies": {
"vite": "^4.4.6"
}
},
"type": "module"
}

117
polytopes.js
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@ -1,6 +1,6 @@
import * as PERMUTE from './permute.js';
import * as DODECAHEDRA from './dodecahedra.js';
import * as CELL120 from './cellindex.js';
function index_nodes(nodes, scale) {
let i = 1;
@ -332,117 +332,20 @@ function basic_auto_label_120cell(nodes, links) {
}
// manual compound-of-tetrahedra colouring
function manual_label_120cell(nodes, links) {
label_nodes(nodes, [1, 153, 29, 105], 1);
label_nodes(nodes, [317, 409, 265, 109], 2);
label_nodes(nodes, [221, 337, 25, 509], 3);
label_nodes(nodes, [217, 413, 457, 361], 4);
label_nodes(nodes, [313, 157, 461, 505], 5);
// second dodecahedron needs to have opposite chirality
label_nodes(nodes, [ 165, 33, 117 ], 1);
label_nodes(nodes, [ 161, 465, 517 ], 2);
label_nodes(nodes, [ 417, 469, 365 ], 3);
label_nodes(nodes, [ 341, 37, 513 ], 4);
label_nodes(nodes, [ 421, 269, 113 ], 5);
// third
label_nodes(nodes, [ 45, 101, 181 ], 1);
label_nodes(nodes, [ 241, 429, 53 ], 2);
label_nodes(nodes, [ 93, 229 ], 3);
label_nodes(nodes, [ 173, 437 ], 4);
label_nodes(nodes, [ 245, 325 ], 5);
// fourth (id = 3)
label_nodes(nodes, [ 89, 169, 49 ], 1);
label_nodes(nodes, [ 321 ], 2);
label_nodes(nodes, [ 425, 177 ], 3);
label_nodes(nodes, [ 97, 225 ], 4);
label_nodes(nodes, [ 41, 433], 5);
function label_120cell(nodes) {
for( const cstr in CELL120.INDEX ) {
label_nodes(nodes, CELL120.INDEX[cstr], Number(cstr));
}
}
function meridian_label_120cell(nodes, links) {
const DODECAS = [
[
313, 1, 317, 221, 217, 417,
341, 421, 165, 161, 465, 469,
37, 269, 33, 113, 117, 517,
365, 513
],
[
513, 365, 517, 117, 113, 577,
15, 581, 565, 561, 397, 399,
85, 389, 81, 301, 303, 213,
293, 209
],
[
301, 209, 293, 213, 303,
211, 309, 294, 311, 215,
310, 210, 214, 312, 295,
212, 302, 304, 216, 296
],
[
304, 302, 212, 296, 216, 400,
398, 84, 392, 88, 16, 580,
564, 568, 584, 368, 516, 116,
120, 520
],
[
368, 516, 116, 120, 520, 272,
36, 468, 472, 40, 164, 420,
344, 424, 168, 220, 316, 4,
320, 224
],
[
316, 4, 320, 224, 220, 412,
340, 416, 160, 156, 460, 464,
32, 268, 28, 108, 112, 512,
364, 508
],
[
508, 364, 512, 112, 108, 572,
14, 576, 560, 556, 394, 396,
80, 388, 76, 298, 300, 208,
292, 204
],
[
300, 298, 204, 292, 208,
206, 202, 306, 291, 308,
290, 305, 203, 207, 307,
289, 201, 297, 299, 205
],
[
299, 297, 201, 289, 205, 395,
393, 73, 385, 77, 13, 569,
553, 557, 573, 361, 505, 105,
109, 509
],
[
361, 505, 105, 109, 509, 265,
25, 457, 461, 29, 153, 409,
337, 413, 157, 217, 313, 1,
317, 221
]
]
let col = 1;
for( const dd of DODECAS ) {
label_nodes(nodes, dd, 5);
col++;
if( col > 5 ) {
col = 1;
}
}
function link_labels(nodes, link) {
const n1 = nodes.filter((n) => n.id === link.source);
const n2 = nodes.filter((n) => n.id === link.target);
return [ n1[0].label, n2[0].label ];
}
@ -451,7 +354,7 @@ export const cell120 = () => {
const nodes = make_120cell_vertices();
const links = auto_detect_edges(nodes, 4);
meridian_label_120cell(nodes, links);
label_120cell(nodes);
return {
nodes: nodes,

432
testbed.js
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@ -323,51 +323,14 @@ function find_dodeca_next(faces, dodeca, f1, f2) {
return m[0];
}
// from any two mutual faces, return all the faces in their dodecahedron
function make_dodecahedron(faces, f1, f2) {
function faces_to_dodecahedron(faces, f1, f2, flip=false) {
const dodecahedron = [ f1, f2 ];
// take f1 as the 'center', get the other four around it from f2
const fs = find_dodeca_mutuals(faces, f1, f2);
const f3 = fs[0];
const f6 = fs[1];
dodecahedron.push(f3);
const f4 = find_dodeca_next(faces, dodecahedron, f1, f3);
dodecahedron.push(f4);
const f5 = find_dodeca_next(faces, dodecahedron, f1, f4);
dodecahedron.push(f5);
dodecahedron.push(f6);
// get the next ring
const f7 = find_dodeca_next(faces, dodecahedron, f6, f2);
dodecahedron.push(f7);
const f8 = find_dodeca_next(faces, dodecahedron, f2, f3);
dodecahedron.push(f8);
const f9 = find_dodeca_next(faces, dodecahedron, f3, f4);
dodecahedron.push(f9);
const f10 = find_dodeca_next(faces, dodecahedron, f4, f5);
dodecahedron.push(f10);
const f11 = find_dodeca_next(faces, dodecahedron, f5, f6);
dodecahedron.push(f11);
// get the last
const f12 = find_dodeca_next(faces, dodecahedron, f7, f8);
dodecahedron.push(f12);
return dodecahedron;
}
function faces_to_dodecahedron(faces, f1, f2) {
const dodecahedron = [ f1, f2 ];
// take f1 as the 'center', get the other four around it from f2
const fs = find_dodeca_mutuals(faces, f1, f2);
const f3 = fs[0];
const f6 = fs[1];
const f3 = flip ? fs[1] : fs[0];
const f6 = flip ? fs[0] : fs[1];
dodecahedron.push(f3);
const f4 = find_dodeca_next(faces, dodecahedron, f1, f3);
dodecahedron.push(f4);
@ -397,11 +360,13 @@ function faces_to_dodecahedron(faces, f1, f2) {
}
// from a face and one neighbouring node, return a dodecahedron
// Set 'flip' to true if we're coming to this dodecahedron from a
// face on a previous one so that the chirality doesn't get inverted
function face_plus_to_dodecahedron(faces, f1, node) {
function face_plus_to_dodecahedron(faces, f1, node, flip=false) {
const neighbours = find_adjacent_faces(faces, f1);
const nodens = neighbours.filter((f) => f.nodes.includes(node));
return faces_to_dodecahedron(faces, f1, nodens[0]); // does it matter which?
return faces_to_dodecahedron(faces, f1, nodens[0], flip); // does it matter which?
}
@ -472,32 +437,342 @@ function dodecahedron_colours(vertices, p) {
// p is the permutation of the first face
function colour_one_dodecahedron(faces, face, node, p) {
const dd = face_plus_to_dodecahedron(faces, face, node);
function colour_dodecahedron_from_face(dd, p) {
const vertices = dodecahedron_vertices(dd);
return dodecahedron_colours(vertices, p);
}
// from a dodecahedron and a face, get the adjoining dodecahedron
function follow_face_to_dodeca(faces, startdd, nextf, flip=false) {
const neighbours = find_adjacent_faces(faces, nextf);
const nextnbors = neighbours.filter((f) => !startdd.includes(f));
return faces_to_dodecahedron(faces, nextf, nextnbors[0], flip);
}
function find_edges(links, nid) {
return links.filter((l) => l.source === nid || l.target === nid );
}
function find_adjacent_nodes(links, nid) {
return find_edges(links, nid).map((l) => {
if( l.source === nid ) {
return l.target;
} else {
return l.source;
}
});
}
function node_by_id(nodes, nid) {
const ns = nodes.filter((n) => n.id === nid);
return ns[0];
}
function find_adjacent_labels(nodes, links, nid) {
return find_adjacent_nodes(links, nid).map(
(nid) => node_by_id(nodes, nid).label
);
}
function colour_next_dodeca_maybe(nodes, links, faces, colours, dd, nextf, nextdd) {
const lastvs = dodecahedron_vertices(dd);
const nextvs = dodecahedron_vertices(nextdd);
// get the initial colour permutations from the existing labels;
const p = [];
for( i = 0; i < 5; i ++ ) {
p[i] = colours[nextvs[i]];
}
const nlabels = colour_dodecahedron_from_face(nextdd, p);
// check if this is inconsistent with the original dd
const n = nextf.nodes[0];
const nbors = find_adjacent_nodes(links, n);
const nextns = nbors.filter((n) => !lastvs.includes(n));
const lastns = nbors.filter((n) => !nextvs.includes(n));
const lastcol = colours[lastns[0]];
const nextcol = nlabels[nextns[0]];
if( lastcol === nextcol ) {
// one node in the adjoining face has two same-coloured neighbours
// console.log('chirality mismatch');
// console.log(` test node ${n}`);
// console.log(` neighbours ${lastns[0]} ${nextns[0]}`);
return false;
}
return nlabels;
}
function meridian(nodes, links, faces, startf, startn, dir=11, max=10) {
const o = face_plus_to_dodecahedron(faces, startf, startn);
const colours = colour_dodecahedron_from_face(o, [ 1, 2, 3, 4, 5 ] );
const dds = follow_meridian(nodes, links, faces, colours, o, dir, max);
const labels = { 1: [], 2:[], 3:[], 4:[], 5:[] };
for( const vstr in colours ) {
labels[colours[vstr]].push(Number(vstr));
}
return { dodecahedra: dds, labels: labels };
}
function all_meridians(nodes, links, faces, startf, startn) {
const o = face_plus_to_dodecahedron(faces, startf, startn);
const colours = colour_dodecahedron_from_face(o, [ 1, 2, 3, 4, 5 ] );
// first meridian
const dds = follow_meridian(nodes, links, faces, colours, o, 11, 10);
for ( const f of [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ] ) {
follow_meridian(nodes, links, faces, colours, o, f, 4);
}
const labels = { 1: [], 2:[], 3:[], 4:[], 5:[] };
for( const vstr in colours ) {
labels[colours[vstr]].push(Number(vstr));
}
return labels;
}
// go along a meridian
// modifies colours
function meridian(faces, startf, startn) {
const dds = [ face_plus_to_dodecahedron(faces, startf, startn) ];
while( dds.length < 10 ) {
function follow_meridian(nodes, links, faces, colours, odd, dir, max) {
let ncolours = {};
const dds = [ odd ];
while( ncolours && dds.length < max ) {
const dd = dds[dds.length - 1];
const nextf = dd[11]; // opposite to startf
const neighbours = find_adjacent_faces(faces, nextf);
const nextnbors = neighbours.filter((f) => !dd.includes(f));
const nextf = dds.length === 1 ? dd[dir] : dd[11];
const nextdd = faces_to_dodecahedron(faces, nextf, nextnbors[0]);
let nextdd = follow_face_to_dodeca(faces, dd, nextf);
ncolours = colour_next_dodeca_maybe(nodes, links, faces, colours, dd, nextf, nextdd);
if( !ncolours ) {
nextdd = follow_face_to_dodeca(faces, dd, nextf, true);
ncolours = colour_next_dodeca_maybe(nodes, links, faces, colours, dd, nextf, nextdd);
if( !ncolours ) {
console.log("*** two mismatches");
}
}
for( const vertex in ncolours ) {
if( vertex in colours ) {
if( colours[vertex] !== ncolours[vertex] ) {
console.log(`*** label mismatch at ${vertex}: ${colours[vertex]}/${ncolours[vertex]}`);
}
} else {
colours[vertex] = ncolours[vertex];
}
}
dds.push(nextdd);
}
return dds;
}
function follow_and_colour(nodes, links, faces, colours, dd, face) {
let nextdd = follow_face_to_dodeca(faces, dd, face);
let ncolours = colour_next_dodeca_maybe(nodes, links, faces, colours, dd, face, nextdd);
if( !ncolours ) {
nextdd = follow_face_to_dodeca(faces, dd, face, true);
ncolours = colour_next_dodeca_maybe(nodes, links, faces, colours, dd, face, nextdd);
if( !ncolours ) {
console.log("two mismatches");
}
}
return [ nextdd, ncolours ];
}
function add_colours(colours, ncolours) {
for( const vertex in ncolours ) {
if( vertex in colours ) {
if( colours[vertex] !== ncolours[vertex] ) {
console.log(`label mismatch at ${vertex}: ${colours[vertex]}/${ncolours[vertex]}`);
}
} else {
colours[vertex] = ncolours[vertex];
}
}
}
// "arctic circle" - this one works
function arctic(nodes, links, faces, startf, startn, max) {
console.log(startf);
const pole = face_plus_to_dodecahedron(faces, startf, startn);
const dds = [ pole ];
// colour first cell
const colours = colour_dodecahedron_from_face(dds[0], [ 1, 2, 3, 4, 5 ] );
const vs = dodecahedron_vertices(dds[0]);
let ncolours = {};
for( const face of pole ) {
let nextdd = follow_face_to_dodeca(faces, pole, face);
ncolours = colour_next_dodeca_maybe(nodes, links, faces, colours, pole, face, nextdd);
if( !ncolours ) {
nextdd = follow_face_to_dodeca(faces, pole, face, true);
ncolours = colour_next_dodeca_maybe(nodes, links, faces, colours, pole, face, nextdd);
if( !ncolours ) {
console.log("two mismatches");
}
}
for( const vertex in ncolours ) {
if( vertex in colours ) {
if( colours[vertex] !== ncolours[vertex] ) {
console.log(`label mismatch at ${vertex}: ${colours[vertex]}/${ncolours[vertex]}`);
}
} else {
colours[vertex] = ncolours[vertex];
}
}
dds.push(nextdd);
}
return dds;
const labels = { 1: [], 2:[], 3:[], 4:[], 5:[] };
for( const vstr in colours ) {
labels[colours[vstr]].push(Number(vstr));
}
return { dodecahedra: dds, labels: labels };
}
function arctic_two(nodes, links, faces, startf, startn) {
const pole = face_plus_to_dodecahedron(faces, startf, startn);
const dds = [ pole ];
const seen = {};
seen[dd_fingerprint(pole)] = true;
const colours = colour_dodecahedron_from_face(dds[0], [ 1, 2, 3, 4, 5 ] );
const vs = dodecahedron_vertices(dds[0]);
for( const face of pole ) {
const [ nextdd, ncolours ] = follow_and_colour(
nodes, links, faces, colours, pole, face
);
add_colours(colours, ncolours);
dds.push(nextdd);
seen[dd_fingerprint(nextdd)] = true;
}
// go around all of the arctic circle and grow all faces
// 1, 12, 20, 12, 30 = 75
// 0 1 13, 33, 45
for( const a of dds.slice(1, 13) ) {
for( const i of [ 6, 7, 8, 9, 10 ] ) {
const [ nextdd, ncolours ] = follow_and_colour(
nodes, links, faces, colours, a, a[i]
);
const fp = dd_fingerprint(nextdd);
if( !(fp in seen) ) {
add_colours(colours, ncolours);
dds.push(nextdd);
seen[fp] = true;
}
}
}
// meridians = 45
for( const a of dds.slice(1, 13) ) {
const [ nextdd, ncolours ] = follow_and_colour(
nodes, links, faces, colours, a, a[11]
);
const fp = dd_fingerprint(nextdd);
if( !(fp in seen) ) {
add_colours(colours, ncolours);
dds.push(nextdd);
seen[fp] = true;
}
}
// the 30 equatorials?
for( const a of dds.slice(13, 46) ) {
for( const i of [ 6, 7, 8, 9, 10 ] ) {
const [ nextdd, ncolours ] = follow_and_colour(
nodes, links, faces, colours, a, a[i]
);
const fp = dd_fingerprint(nextdd);
if( !(fp in seen) ) {
add_colours(colours, ncolours);
dds.push(nextdd);
seen[fp] = true;
}
}
}
for( const a of dds.slice(33, 76) ) {
for( const i of [ 6, 7, 8, 9, 10 ] ) {
const [ nextdd, ncolours ] = follow_and_colour(
nodes, links, faces, colours, a, a[i]
);
const fp = dd_fingerprint(nextdd);
if( !(fp in seen) ) {
add_colours(colours, ncolours);
dds.push(nextdd);
seen[fp] = true;
}
}
}
// this should get the rest or explode!
for( const a of dds ) {
for( const i of [ 6, 7, 8, 9, 10 ] ) {
const [ nextdd, ncolours ] = follow_and_colour(
nodes, links, faces, colours, a, a[i]
);
const fp = dd_fingerprint(nextdd);
if( !(fp in seen) ) {
add_colours(colours, ncolours);
dds.push(nextdd);
seen[fp] = true;
}
}
}
const labels = { 1: [], 2:[], 3:[], 4:[], 5:[] };
for( const vstr in colours ) {
labels[colours[vstr]].push(Number(vstr));
}
return { dodecahedra: dds, labels: labels };
}
@ -527,7 +802,7 @@ function face_to_dodecahedra(faces, f) {
function dd_fingerprint(dodecahedron) {
const ids = dodecahedron.map((face) => face.id);
ids.sort()
ids.sort((a, b) => a - b);
return ids.join(',');
}
@ -556,6 +831,28 @@ function make_120cell_cells(faces) {
}
function dodeca_travers(nodes, links, n, fn) {
const queue = [];
const seen = {};
const nodes_id = {};
queue.push(n.id);
while( queue.length > 0 ) {
const v = queue.shift();
find_adjacent(links, v).map((aid) => {
if( !(aid in seen) ) {
seen[aid] = true;
queue.push(aid);
fn(nodes_id[aid]);
}
})
}
}
const cell120 = () => {
const nodes = make_120cell_vertices();
const links = auto_detect_edges(nodes, 4);
@ -582,9 +879,34 @@ function dodeca_nodes(dd) {
}
function label_nodes(nodes, ids, label) {
nodes.filter((n) => ids.includes(n.id)).map((n) => n.label = label);
}
function meridian_label_120cell(nodes) {
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]};
for( const cstr in MERIDIAN_COLOURED ) {
label_nodes(nodes, MERIDIAN_COLOURED[cstr], Number(cstr));
}
//label_nodes(nodes, [313], 6);
}
const nodes = make_120cell_vertices();
const links = auto_detect_edges(nodes, 4);
const faces = auto_120cell_faces(links);
//const dodecas = make_120cell_cells(faces);
const a2 = arctic_two(nodes, links, faces, faces[0], 341)
console.log(`got ${a2.dodecahedra.length}`);
console.log(JSON.stringify(a2.labels));