Building it up layer by layer
Mike Lynch
parent
c093c89ce6
commit
26f927daae
7
main.js
7
main.js
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@ -35,11 +35,18 @@ scene.background = new THREE.Color(0x808080);
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const material = new THREE.MeshStandardMaterial({ color: 0x3293a9 });
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const node_colours = get_colours(0x3293a9);
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console.log(node_colours);
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material.transparent = true;
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material.opacity = 0.5;
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const node_ms = node_colours.map((c) => new THREE.MeshStandardMaterial({color: c}));
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node_ms[0].transparent = true;
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node_ms[0].opacity = 0.0;
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const link_ms = [ material ];
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@ -6,5 +6,6 @@
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},
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"devDependencies": {
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"vite": "^4.4.6"
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}
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},
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"type": "module"
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}
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70
polytopes.js
70
polytopes.js
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@ -384,42 +384,48 @@ function meridian_label_120cell(nodes) {
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function arctic_label_120cell(nodes) {
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const ARCTIC_COLOURED ={
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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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27, 49, 61, 87, 95, 105, 131, 149, 165,
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174, 185, 210, 223, 226, 239, 241, 253, 263,
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265, 279, 285, 301, 311, 313, 325, 331, 347,
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357, 367, 369, 383, 389, 393, 406, 413, 419,
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425, 438, 449, 453, 469, 471, 473, 487, 511,
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513, 525, 530, 563, 566, 573, 581, 585, 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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1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23,
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24, 25, 31, 35, 37, 41, 50, 53, 57, 67, 69,
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73, 82, 83, 85, 91, 93, 97, 103, 109, 113, 119,
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123, 125, 129, 135, 141, 145, 150, 155, 157, 161, 167,
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170, 173, 177, 182, 189, 193, 199, 209, 214, 215
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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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39, 45, 65, 86, 99, 117, 127, 137, 153,
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178, 197, 211, 219, 230, 235, 245, 251, 257,
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269, 273, 293, 312, 317, 321, 335, 343, 349,
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355, 363, 375, 385, 399, 405, 415, 417, 437,
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441, 445, 457, 475, 485, 498, 502, 509, 515,
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529, 547, 551, 562, 567, 569, 577, 589, 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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33, 54, 71, 77, 101, 115, 121, 146, 159,
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169, 195, 213, 221, 229, 237, 242, 249, 261,
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271, 277, 295, 309, 315, 322, 329, 341, 351,
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359, 361, 371, 390, 397, 408, 409, 423, 433,
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443, 447, 461, 477, 483, 489, 493, 507, 517,
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533, 545, 549, 553, 561, 575, 583, 595, 598
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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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29, 81, 89, 133, 163, 181, 217, 225, 233,
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246, 255, 259, 267, 275, 287, 294, 303, 310,
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319, 326, 333, 337, 345, 353, 365, 373, 381,
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391, 395, 407, 411, 421, 429, 434, 451, 455,
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465, 467, 479, 481, 497, 501, 505, 519, 521,
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534, 537, 541, 557, 565, 571, 579, 594, 599
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]
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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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@ -440,16 +446,16 @@ 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);
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arctic_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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const links_f = links.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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links: links,
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links: links_f,
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geometry: {
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node_size: 0.02,
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link_size: 0.02
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159
testbed.js
159
testbed.js
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@ -466,6 +466,19 @@ function find_adjacent_nodes(links, nid) {
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});
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}
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function node_by_id(nodes, nid) {
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const ns = nodes.filter((n) => n.id === nid);
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return ns[0];
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}
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function find_adjacent_labels(nodes, links, nid) {
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return find_adjacent_nodes(links, nid).map(
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(nid) => node_by_id(nodes, nid).label
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);
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}
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function colour_next_dodeca_maybe(nodes, links, faces, colours, dd, nextf, nextdd) {
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@ -575,6 +588,33 @@ function follow_meridian(nodes, links, faces, colours, odd, dir, max) {
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}
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function follow_and_colour(nodes, links, faces, colours, dd, face) {
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let nextdd = follow_face_to_dodeca(faces, dd, face);
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let ncolours = colour_next_dodeca_maybe(nodes, links, faces, colours, dd, face, nextdd);
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if( !ncolours ) {
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nextdd = follow_face_to_dodeca(faces, dd, face, true);
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ncolours = colour_next_dodeca_maybe(nodes, links, faces, colours, dd, 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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return [ nextdd, ncolours ];
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}
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function add_colours(colours, ncolours) {
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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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}
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// "arctic circle" - this one works
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@ -628,53 +668,70 @@ function arctic(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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function arctic_two(nodes, links, faces, startf, startn) {
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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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seen[dd_fingerprint(pole)] = true;
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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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const colours = colour_dodecahedron_from_face(pole, [ 1, 2, 3, 4, 5 ] );
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for( const face of pole ) {
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const [ nextdd, ncolours ] = follow_and_colour(
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nodes, links, faces, colours, pole, face
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);
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add_colours(colours, ncolours);
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dds.push(nextdd);
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seen[dd_fingerprint(nextdd)] = true;
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}
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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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// dumb!
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// top five of the temperate circle
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const a1 = dds[1];
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for( const a of dds.slice(1, 12) ) {
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for( const i of [ 6, 7, 8, 9, 10 ] ) {
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const [ nextdd, ncolours ] = follow_and_colour(
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nodes, links, faces, colours, a, a[i]
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);
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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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if( !(fp in seen) ) {
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add_colours(colours, ncolours);
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dds.push(nextdd);
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queue.push(nextdd);
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seen[fp] = true;
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}
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}
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}
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// // bottom five of the temperate circle
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// const a12 = dds[12];
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// for( const i of [ 6, 7, 8, 9, 10 ] ) {
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// const [ nextdd, ncolours ] = follow_and_colour(
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// nodes, links, faces, colours, a1, a1[i]
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// );
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// add_colours(colours, ncolours);
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// dds.push(nextdd);
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// }
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// // will be weird
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// for( const dd of dds.slice(2, 12) ) {
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// const [ nextdd, ncolours ] = follow_and_colour(
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// nodes, links, faces, colours, dd, dd[6]
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// );
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// add_colours(colours, ncolours);
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// dds.push(nextdd);
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// }
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// for( const dd of dds.slice(2, 7) ) {
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// const [ nextdd, ncolours ] = follow_and_colour(
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// nodes, links, faces, colours, dd, dd[6]
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// );
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// add_colours(colours, ncolours);
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// dds.push(nextdd);
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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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@ -683,9 +740,6 @@ function whole_120_cell(nodes, links, faces, startf, startn, max) {
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return { dodecahedra: dds, labels: labels };
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}
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@ -715,7 +769,7 @@ function face_to_dodecahedra(faces, f) {
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function dd_fingerprint(dodecahedron) {
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const ids = dodecahedron.map((face) => face.id);
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ids.sort()
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ids.sort((a, b) => a - b);
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return ids.join(',');
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}
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@ -792,12 +846,37 @@ function dodeca_nodes(dd) {
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}
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function label_nodes(nodes, ids, label) {
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nodes.filter((n) => ids.includes(n.id)).map((n) => n.label = label);
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}
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function meridian_label_120cell(nodes) {
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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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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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const nodes = make_120cell_vertices();
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const links = auto_detect_edges(nodes, 4);
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const faces = auto_120cell_faces(links);
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//const dodecas = make_120cell_cells(faces);
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const colours = all_meridians(nodes, links, faces, faces[0], 341);
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//const colours = all_meridians(nodes, links, faces, faces[0], 341);
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console.log(JSON.stringify(colours));
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//console.log(JSON.stringify(colours));
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// note - all_meridians colours 530 of the 600 vertices - try a simple
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// algorithm to see which of the remaining 70 have 4 neighbours labeled and
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// fill in the rest that way
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// have tried this and they mostly have 3 with some 1s and 2ss
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Reference in New Issue