Added neutral colours, tweaked values, coherent indexing for 16-cell
Mike Lynch
parent
dd7939943a
commit
87c023094b
4
main.js
4
main.js
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@ -7,7 +7,7 @@ import { FourDShape } from './fourDShape.js';
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import { GUI } from 'lil-gui';
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const DEFAULT_SHAPE = '24-cell';
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const DEFAULT_SHAPE = '16-cell';
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// hacky stuff for 4d rotations
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@ -120,6 +120,7 @@ const LINK_OPACITY = 0.7;
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// 2 M 2 (0-2) B
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const node_ms = [
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new THREE.MeshStandardMaterial( { color: 0x707070 } ),
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new THREE.MeshStandardMaterial( { color: 0x20dddd } ),
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new THREE.MeshStandardMaterial( { color: 0xdddd20 } ),
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new THREE.MeshStandardMaterial( { color: 0xdd20dd } ),
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@ -135,6 +136,7 @@ for( const node_m of node_ms ) {
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}
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const link_ms = [
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new THREE.MeshStandardMaterial( { color: 0xeeeeee } ),
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new THREE.MeshStandardMaterial( { color: 0x20dd20 } ),
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new THREE.MeshStandardMaterial( { color: 0xdd2020 } ),
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new THREE.MeshStandardMaterial( { color: 0x2020dd } ),
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114
polytopes.js
114
polytopes.js
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@ -31,14 +31,14 @@ export const cell16 = () => {
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const s2 = Math.sqrt(2) * 0.5;
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return {
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nodes: [
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{ id: 1, label: 0, x: -s2, y: -s2, z: -s2, w: -s2 },
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{ id: 2, label: 0, x: s2, y: s2, z: -s2, w: -s2 },
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{ id: 3, label: 0, x: s2, y: -s2, z: s2, w: -s2 },
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{ id: 4, label: 0, x: -s2, y: s2, z: s2, w: -s2 },
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{ id: 5, label: 0, x: s2, y: -s2, z: -s2, w: s2 },
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{ id: 6, label: 0, x: -s2, y: s2, z: -s2, w: s2 },
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{ id: 7, label: 0, x: -s2, y: -s2, z: s2, w: s2 },
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{ id: 8, label: 0, x: s2, y: s2, z: s2, w: s2 },
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{ id: 1, x: -s2, y: -s2, z: -s2, w: -s2 },
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{ id: 2, x: s2, y: s2, z: -s2, w: -s2 },
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{ id: 3, x: s2, y: -s2, z: s2, w: -s2 },
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{ id: 4, x: -s2, y: s2, z: s2, w: -s2 },
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{ id: 5, x: s2, y: -s2, z: -s2, w: s2 },
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{ id: 6, x: -s2, y: s2, z: -s2, w: s2 },
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{ id: 7, x: -s2, y: -s2, z: s2, w: s2 },
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{ id: 8, x: s2, y: s2, z: s2, w: s2 },
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],
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// opposite pairs: 1 - 8
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@ -46,34 +46,40 @@ export const cell16 = () => {
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// 3 - 6
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// 4 - 5 .. these don't have edges
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// label 1 links: 1 / 3 / 8 / 6
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// label 1 links: 2 / 4 / 7 / 5
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// label 2 links: 1 / 4 / 8 / 5
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// label 2 links: 2 / 3 / 7 / 6 (??)
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links: [
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{ id: 1, source: 1, target: 2 },
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{ id: 2, source: 1, target: 3 },
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{ id: 3, source: 1, target: 4 },
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{ id: 4, source: 2, target: 3 },
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{ id: 5, source: 2, target: 4 },
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{ id: 6, source: 3, target: 4 },
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{ id: 1, source: 1, target: 2, label: 1 },
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{ id: 2, source: 1, target: 3, label: 2 },
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{ id: 3, source: 1, target: 4, label: 3 },
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{ id: 4, source: 2, target: 3, label: 3 },
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{ id: 5, source: 2, target: 4, label: 2 },
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{ id: 6, source: 3, target: 4, label: 1 },
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{ id: 7, source: 5, target: 6 },
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{ id: 8, source: 5, target: 7 },
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{ id: 9, source: 5, target: 8 },
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{ id: 10, source: 6, target: 7 },
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{ id: 11, source: 6, target: 8 },
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{ id: 12, source: 7, target: 8 },
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{ id: 7, source: 5, target: 6, label: 1 },
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{ id: 8, source: 5, target: 7, label: 2 },
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{ id: 9, source: 5, target: 8, label: 3 },
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{ id: 10, source: 6, target: 7, label: 3 },
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{ id: 11, source: 6, target: 8, label: 2 },
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{ id: 12, source: 7, target: 8, label: 1 },
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{ id: 13, source: 1, target: 5 },
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{ id: 14, source: 1, target: 6 },
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{ id: 15, source: 1, target: 7 },
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{ id: 16, source: 2, target: 5 },
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{ id: 17, source: 2, target: 6 },
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{ id: 18, source: 2, target: 8 },
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{ id: 13, source: 1, target: 5, label: 3 },
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{ id: 14, source: 1, target: 6, label: 2 },
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{ id: 15, source: 1, target: 7, label: 1 },
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{ id: 16, source: 2, target: 5, label: 2 },
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{ id: 17, source: 2, target: 6, label: 3 },
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{ id: 18, source: 2, target: 8, label: 1 },
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{ id: 19, source: 3, target: 5 },
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{ id: 20, source: 3, target: 7 },
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{ id: 21, source: 3, target: 8 },
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{ id: 22, source: 4, target: 6 },
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{ id: 23, source: 4, target: 7 },
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{ id: 24, source: 4, target: 8 },
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{ id: 19, source: 3, target: 5, label: 1 },
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{ id: 20, source: 3, target: 7, label: 3 },
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{ id: 21, source: 3, target: 8, label: 2 },
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{ id: 22, source: 4, target: 6, label: 1 },
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{ id: 23, source: 4, target: 7, label: 2 },
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{ id: 24, source: 4, target: 8, label: 3 },
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]
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@ -85,22 +91,22 @@ export const tesseract = () => {
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const s2 = Math.sqrt(2) * 0.5;
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return {
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nodes: [
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{ id: 1, label: 0, x: -s2, y: -s2, z: -s2, w: -s2 },
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{ id: 2, label: 1, x: s2, y: -s2, z: -s2, w: -s2 },
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{ id: 3, label: 1, x: -s2, y: s2, z: -s2, w: -s2 },
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{ id: 4, label: 0, x: s2, y: s2, z: -s2, w: -s2 },
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{ id: 5, label: 1, x: -s2, y: -s2, z: s2, w: -s2 },
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{ id: 6, label: 0, x: s2, y: -s2, z: s2, w: -s2 },
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{ id: 7, label: 0, x: -s2, y: s2, z: s2, w: -s2 },
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{ id: 8, label: 1, x: s2, y: s2, z: s2, w: -s2 },
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{ id: 9, label: 1, x: -s2, y: -s2, z: -s2, w: s2 },
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{ id: 10, label: 0, x: s2, y: -s2, z: -s2, w: s2 },
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{ id: 11, label: 0, x: -s2, y: s2, z: -s2, w: s2 },
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{ id: 12, label: 1, x: s2, y: s2, z: -s2, w: s2 },
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{ id: 13, label: 0, x: -s2, y: -s2, z: s2, w: s2 },
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{ id: 14, label: 1, x: s2, y: -s2, z: s2, w: s2 },
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{ id: 15, label: 1, x: -s2, y: s2, z: s2, w: s2 },
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{ id: 16, label: 0, x: s2, y: s2, z: s2, w: s2 },
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{ id: 1, label: 1, x: -s2, y: -s2, z: -s2, w: -s2 },
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{ id: 2, label: 2, x: s2, y: -s2, z: -s2, w: -s2 },
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{ id: 3, label: 2, x: -s2, y: s2, z: -s2, w: -s2 },
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{ id: 4, label: 1, x: s2, y: s2, z: -s2, w: -s2 },
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{ id: 5, label: 2, x: -s2, y: -s2, z: s2, w: -s2 },
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{ id: 6, label: 1, x: s2, y: -s2, z: s2, w: -s2 },
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{ id: 7, label: 1, x: -s2, y: s2, z: s2, w: -s2 },
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{ id: 8, label: 2, x: s2, y: s2, z: s2, w: -s2 },
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{ id: 9, label: 2, x: -s2, y: -s2, z: -s2, w: s2 },
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{ id: 10, label: 1, x: s2, y: -s2, z: -s2, w: s2 },
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{ id: 11, label: 1, x: -s2, y: s2, z: -s2, w: s2 },
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{ id: 12, label: 2, x: s2, y: s2, z: -s2, w: s2 },
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{ id: 13, label: 1, x: -s2, y: -s2, z: s2, w: s2 },
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{ id: 14, label: 2, x: s2, y: -s2, z: s2, w: s2 },
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{ id: 15, label: 2, x: -s2, y: s2, z: s2, w: s2 },
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{ id: 16, label: 1, x: s2, y: s2, z: s2, w: s2 },
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],
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links: [
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{ id: 1, source: 1, target: 2 },
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@ -145,17 +151,17 @@ export const tesseract = () => {
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// this was done manually and I'm not sure if it's right
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const CELL24_INDEXING = {
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x: { y: 0, z: 2, w: 1 },
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y: { z: 1, w: 2 },
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z: { w: 0 },
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x: { y: 1, z: 3, w: 2 },
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y: { z: 2, w: 3 },
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z: { w: 1 },
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};
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// note that this depends on the colour mapping in main.js, yuck
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const CELL24_LINK_INDEXING = {
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0: { 1: 0, 2: 2 },
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1: { 0: 0, 2: 1 },
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2: { 0: 2, 1: 1 },
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1: { 2: 1, 3: 3 },
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2: { 1: 1, 3: 2 },
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3: { 1: 3, 2: 2 },
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}
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function make_24cell_vertices() {
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