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fourdjs
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added a dodecahedron

feature-3d-shapes
Mike Lynch 2023-09-14 16:42:20 +10:00
parent 63b2f8f22e
commit fb8067a13e
4 changed files with 82 additions and 12 deletions
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2
gui.js
View File

@ -46,7 +46,7 @@ class FourDGUI {
this.gui.add(this.params, 'shape',
[ '5-cell', '16-cell', 'tesseract',
'24-cell', '600-cell', '120-cell' ]
'24-cell', '600-cell', '120-cell', 'dodecahedron' ]
).onChange(changeShape)
this.gui.add(this.params, 'inscribed').onChange(changeShape);
this.gui.add(this.params, 'inscribe_all').onChange(changeShape);

1
main.js
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@ -64,6 +64,7 @@ const STRUCTURES = {
'16-cell': POLYTOPES.cell16(),
'tesseract': POLYTOPES.tesseract(),
'24-cell': POLYTOPES.cell24(),
'dodecahedron': POLYTOPES.dodecahedron(),
'120-cell': POLYTOPES.cell120(),
'600-cell': POLYTOPES.cell600(),
};

51
polytopes.js
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@ -668,3 +668,54 @@ const cell600_some_inscribed = (ps) => {
export const cell600_inscribed = () => cell600_some_inscribed([1]);
export const cell600_all_inscribed = () => cell600_some_inscribed([1,2,3,4,5]);
function make_dodecahedron_vertices() {
const phi = 0.5 * (1 + Math.sqrt(5));
const phiinv = 1 / phi;
const nodes = [
{ x: 1, y: 1, z: 1, w: 0 },
{ x: 1, y: 1, z: -1, w: 0 },
{ x: 1, y: -1, z: 1, w: 0 },
{ x: 1, y: -1, z: -1, w: 0 },
{ x: -1, y: 1, z: 1, w: 0 },
{ x: -1, y: 1, z: -1, w: 0 },
{ x: -1, y: -1, z: 1, w: 0 },
{ x: -1, y: -1, z: -1, w: 0 },
{ x: 0, y: phi, z: phiinv, w: 0 },
{ x: 0, y: phi, z: -phiinv, w: 0 },
{ x: 0, y: -phi, z: phiinv, w: 0 },
{ x: 0, y: -phi, z: -phiinv, w: 0 },
{ x: phiinv, y: 0, z: phi, w: 0 },
{ x: phiinv, y: 0, z: -phi, w: 0 },
{ x: -phiinv, y: 0, z: phi, w: 0 },
{ x: -phiinv, y: 0, z: -phi, w: 0 },
{ x: phi, y: phiinv, z:0, w: 0 },
{ x: phi, y: -phiinv, z:0, w: 0 },
{ x: -phi, y: phiinv, z:0, w: 0 },
{ x: -phi, y: -phiinv, z:0, w: 0 },
];
index_nodes(nodes);;
return nodes;
}
export const dodecahedron = () => {
const nodes = make_dodecahedron_vertices();
const links = auto_detect_edges(nodes, 3);
return {
nodes: nodes,
links: links,
geometry: {
node_size: 0.02,
link_size: 0.02
}
}
}

40
testbed.js
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@ -907,25 +907,43 @@ function check_120cell_nodes(nodes) {
}
});
}
function make_dodecahedron_vertices() {
const phi = 0.5 * (1 + Math.sqrt(5));
const phiinv = 1 / phi;
const nodes = [
{ x: 1, y: 1, z: 1, w: 0 },
{ x: 1, y: 1, z: -1, w: 0 },
{ x: 1, y: -1, z: 1, w: 0 },
{ x: 1, y: -1, z: -1, w: 0 },
{ x: -1, y: 1, z: 1, w: 0 },
{ x: -1, y: 1, z: -1, w: 0 },
{ x: -1, y: -1, z: 1, w: 0 },
{ x: -1, y: -1, z: -1, w: 0 }
].flat();
scale_nodes(nodes, 0.5);
return nodes;
}
const nodes = make_120cell_vertices();
const links = auto_detect_edges(nodes, 4);
const faces = auto_120cell_faces(links);
// const nodes = make_120cell_vertices();
// const links = auto_detect_edges(nodes, 4);
// const faces = auto_120cell_faces(links);
console.log("Calculating 120-cell colours")
// console.log("Calculating 120-cell colours")
const a2 = arctic_two(nodes, links, faces, faces[0], 341)
// const a2 = arctic_two(nodes, links, faces, faces[0], 341)
console.log(`got ${a2.dodecahedra.length}`);
// console.log(`got ${a2.dodecahedra.length}`);
const labels = a2.labels;
// const labels = a2.labels;
console.log("labelling nodes");
for( const cstr in labels ) {
label_nodes(nodes, labels[cstr], Number(cstr));
}
// console.log("labelling nodes");
// for( const cstr in labels ) {
// label_nodes(nodes, labels[cstr], Number(cstr));
// }