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3 Commits
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e539f4f3af
| Author | SHA1 | Date |
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Mike Lynch
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e539f4f3af | |
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Mike Lynch
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6e8cfa8763 | |
Mike Lynch
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fb8067a13e |
2
gui.js
2
gui.js
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@ -45,7 +45,7 @@ class FourDGUI {
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};
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this.gui.add(this.params, 'shape',
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[ '5-cell', '16-cell', 'tesseract',
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[ 'dodecahedron', '5-cell', '16-cell', 'tesseract',
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'24-cell', '600-cell', '120-cell' ]
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).onChange(changeShape)
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this.gui.add(this.params, 'inscribed').onChange(changeShape);
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@ -17,6 +17,6 @@
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<body>
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<script type="module" src="/main.js"></script>
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<div id="info">by <a target="_blank" href="https://mikelynch.org/">Mike Lynch</a> -
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<a target="_blank" href="https://github.com/spikelynch/fourdjs">source</a></div>
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<a target="_blank" href="https://git.tilde.town/bombinans/fourdjs">source</a></div>
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</body>
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</html>
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3
main.js
3
main.js
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@ -64,6 +64,7 @@ const STRUCTURES = {
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'16-cell': POLYTOPES.cell16(),
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'tesseract': POLYTOPES.tesseract(),
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'24-cell': POLYTOPES.cell24(),
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'dodecahedron': POLYTOPES.dodecahedron(),
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'120-cell': POLYTOPES.cell120(),
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'600-cell': POLYTOPES.cell600(),
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};
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@ -73,6 +74,7 @@ const INSCRIBED = {
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'24-cell': POLYTOPES.cell24_inscribed(),
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'120-cell': POLYTOPES.cell120_inscribed(),
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'600-cell': POLYTOPES.cell600_inscribed(),
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'dodecahedron': POLYTOPES.dodecahedron_inscribed(),
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};
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const ALL_INSCRIBED = {
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@ -80,6 +82,7 @@ const ALL_INSCRIBED = {
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'24-cell': POLYTOPES.cell24_all_inscribed(),
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'120-cell': POLYTOPES.cell120_all_inscribed(),
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'600-cell': POLYTOPES.cell600_all_inscribed(),
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'dodecahedron': POLYTOPES.dodecahedron_all_inscribed(),
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}
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let shape = false;
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71
polytopes.js
71
polytopes.js
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@ -652,8 +652,52 @@ const cell600_some_inscribed = (ps) => {
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link_size: 0.02
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},
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}
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}
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export const cell600_inscribed = () => cell600_some_inscribed([1]);
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export const cell600_all_inscribed = () => cell600_some_inscribed([1,2,3,4,5]);
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function make_dodecahedron_vertices() {
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const phi = 0.5 * (1 + Math.sqrt(5));
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const phiinv = 1 / phi;
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const nodes = [
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{ x: 1, y: 1, z: 1, w: 0, label: 4 },
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{ x: 1, y: 1, z: -1, w: 0, label: 3 },
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{ x: 1, y: -1, z: 1, w: 0, label: 3 },
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{ x: 1, y: -1, z: -1, w: 0, label: 2 },
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{ x: -1, y: 1, z: 1, w: 0, label: 3 },
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{ x: -1, y: 1, z: -1, w: 0, label: 1 },
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{ x: -1, y: -1, z: 1, w: 0, label: 5 },
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{ x: -1, y: -1, z: -1, w: 0, label: 3 },
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{ x: 0, y: phi, z: phiinv, w: 0, label: 5 },
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{ x: 0, y: phi, z: -phiinv, w: 0 , label: 2 },
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{ x: 0, y: -phi, z: phiinv, w: 0, label: 4 },
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{ x: 0, y: -phi, z: -phiinv, w: 0 , label: 1 },
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{ x: phiinv, y: 0, z: phi, w: 0 , label: 2},
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{ x: phiinv, y: 0, z: -phi, w: 0 , label: 4},
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{ x: -phiinv, y: 0, z: phi, w: 0 , label: 1},
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{ x: -phiinv, y: 0, z: -phi, w: 0 , label: 5},
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{ x: phi, y: phiinv, z:0, w: 0 , label: 1},
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{ x: phi, y: -phiinv, z:0, w: 0 , label: 5},
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{ x: -phi, y: phiinv, z:0, w: 0 , label: 4},
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{ x: -phi, y: -phiinv, z:0, w: 0 , label: 2},
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];
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index_nodes(nodes);
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return nodes;
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}
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export const dodecahedron = () => {
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const nodes = make_dodecahedron_vertices();
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const links = auto_detect_edges(nodes, 3);
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return {
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nodes: nodes,
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links: links,
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@ -664,7 +708,30 @@ const cell600_some_inscribed = (ps) => {
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}
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}
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const dodecahedron_some_inscribed = (ps) => {
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const nodes = make_dodecahedron_vertices();
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const links = auto_detect_edges(nodes, 3);
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const all_links = links;
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all_links.map((l) => l.label = 0);
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export const cell600_inscribed = () => cell600_some_inscribed([1]);
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export const cell600_all_inscribed = () => cell600_some_inscribed([1,2,3,4,5]);
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for( const p of ps) {
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const tetran = nodes.filter((n) => n.label === p);
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const tetral = auto_detect_edges(tetran, 3);
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tetral.map((l) => l.label = p);
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all_links.push(...tetral);
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}
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return {
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nodes: nodes,
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links: all_links,
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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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},
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}
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}
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export const dodecahedron_inscribed = () => dodecahedron_some_inscribed([1]);
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export const dodecahedron_all_inscribed = () => dodecahedron_some_inscribed([1,2,3,4,5]);
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50
testbed.js
50
testbed.js
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@ -908,24 +908,42 @@ function check_120cell_nodes(nodes) {
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});
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}
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function make_dodecahedron_vertices() {
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const phi = 0.5 * (1 + Math.sqrt(5));
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const phiinv = 1 / phi;
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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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console.log("Calculating 120-cell colours")
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const a2 = arctic_two(nodes, links, faces, faces[0], 341)
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console.log(`got ${a2.dodecahedra.length}`);
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const labels = a2.labels;
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console.log("labelling nodes");
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for( const cstr in labels ) {
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label_nodes(nodes, labels[cstr], Number(cstr));
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const nodes = [
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{ x: 1, y: 1, z: 1, w: 0 },
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{ x: 1, y: 1, z: -1, w: 0 },
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{ x: 1, y: -1, z: 1, w: 0 },
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{ x: 1, y: -1, z: -1, w: 0 },
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{ x: -1, y: 1, z: 1, w: 0 },
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{ x: -1, y: 1, z: -1, w: 0 },
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{ x: -1, y: -1, z: 1, w: 0 },
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{ x: -1, y: -1, z: -1, w: 0 }
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].flat();
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scale_nodes(nodes, 0.5);
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return nodes;
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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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// console.log("Calculating 120-cell colours")
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// const a2 = arctic_two(nodes, links, faces, faces[0], 341)
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// console.log(`got ${a2.dodecahedra.length}`);
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// const labels = a2.labels;
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// console.log("labelling nodes");
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// for( const cstr in labels ) {
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// label_nodes(nodes, labels[cstr], Number(cstr));
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// }
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