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Added neutral colours, tweaked values, coherent indexing for 16-cell

feature-big-polytopes
Mike Lynch 2023-07-25 17:40:42 +10:00
parent dd7939943a
commit 87c023094b
2 changed files with 63 additions and 55 deletions
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4
main.js
View File

@ -7,7 +7,7 @@ import { FourDShape } from './fourDShape.js';
import { GUI } from 'lil-gui'; import { GUI } from 'lil-gui';
const DEFAULT_SHAPE = '24-cell'; const DEFAULT_SHAPE = '16-cell';
// hacky stuff for 4d rotations // hacky stuff for 4d rotations
@ -120,6 +120,7 @@ const LINK_OPACITY = 0.7;
// 2 M 2 (0-2) B // 2 M 2 (0-2) B
const node_ms = [ const node_ms = [
new THREE.MeshStandardMaterial( { color: 0x707070 } ),
new THREE.MeshStandardMaterial( { color: 0x20dddd } ), new THREE.MeshStandardMaterial( { color: 0x20dddd } ),
new THREE.MeshStandardMaterial( { color: 0xdddd20 } ), new THREE.MeshStandardMaterial( { color: 0xdddd20 } ),
new THREE.MeshStandardMaterial( { color: 0xdd20dd } ), new THREE.MeshStandardMaterial( { color: 0xdd20dd } ),
@ -135,6 +136,7 @@ for( const node_m of node_ms ) {
} }
const link_ms = [ const link_ms = [
new THREE.MeshStandardMaterial( { color: 0xeeeeee } ),
new THREE.MeshStandardMaterial( { color: 0x20dd20 } ), new THREE.MeshStandardMaterial( { color: 0x20dd20 } ),
new THREE.MeshStandardMaterial( { color: 0xdd2020 } ), new THREE.MeshStandardMaterial( { color: 0xdd2020 } ),
new THREE.MeshStandardMaterial( { color: 0x2020dd } ), new THREE.MeshStandardMaterial( { color: 0x2020dd } ),

114
polytopes.js
View File

@ -31,14 +31,14 @@ export const cell16 = () => {
const s2 = Math.sqrt(2) * 0.5; const s2 = Math.sqrt(2) * 0.5;
return { return {
nodes: [ nodes: [
{ id: 1, label: 0, x: -s2, y: -s2, z: -s2, w: -s2 }, { id: 1, x: -s2, y: -s2, z: -s2, w: -s2 },
{ id: 2, label: 0, x: s2, y: s2, z: -s2, w: -s2 }, { id: 2, x: s2, y: s2, z: -s2, w: -s2 },
{ id: 3, label: 0, x: s2, y: -s2, z: s2, w: -s2 }, { id: 3, x: s2, y: -s2, z: s2, w: -s2 },
{ id: 4, label: 0, x: -s2, y: s2, z: s2, w: -s2 }, { id: 4, x: -s2, y: s2, z: s2, w: -s2 },
{ id: 5, label: 0, x: s2, y: -s2, z: -s2, w: s2 }, { id: 5, x: s2, y: -s2, z: -s2, w: s2 },
{ id: 6, label: 0, x: -s2, y: s2, z: -s2, w: s2 }, { id: 6, x: -s2, y: s2, z: -s2, w: s2 },
{ id: 7, label: 0, x: -s2, y: -s2, z: s2, w: s2 }, { id: 7, x: -s2, y: -s2, z: s2, w: s2 },
{ id: 8, label: 0, x: s2, y: s2, z: s2, w: s2 }, { id: 8, x: s2, y: s2, z: s2, w: s2 },
], ],
// opposite pairs: 1 - 8 // opposite pairs: 1 - 8
@ -46,34 +46,40 @@ export const cell16 = () => {
// 3 - 6 // 3 - 6
// 4 - 5 .. these don't have edges // 4 - 5 .. these don't have edges
// label 1 links: 1 / 3 / 8 / 6
// label 1 links: 2 / 4 / 7 / 5
// label 2 links: 1 / 4 / 8 / 5
// label 2 links: 2 / 3 / 7 / 6 (??)
links: [ links: [
{ id: 1, source: 1, target: 2 }, { id: 1, source: 1, target: 2, label: 1 },
{ id: 2, source: 1, target: 3 }, { id: 2, source: 1, target: 3, label: 2 },
{ id: 3, source: 1, target: 4 }, { id: 3, source: 1, target: 4, label: 3 },
{ id: 4, source: 2, target: 3 }, { id: 4, source: 2, target: 3, label: 3 },
{ id: 5, source: 2, target: 4 }, { id: 5, source: 2, target: 4, label: 2 },
{ id: 6, source: 3, target: 4 }, { id: 6, source: 3, target: 4, label: 1 },
{ id: 7, source: 5, target: 6 }, { id: 7, source: 5, target: 6, label: 1 },
{ id: 8, source: 5, target: 7 }, { id: 8, source: 5, target: 7, label: 2 },
{ id: 9, source: 5, target: 8 }, { id: 9, source: 5, target: 8, label: 3 },
{ id: 10, source: 6, target: 7 }, { id: 10, source: 6, target: 7, label: 3 },
{ id: 11, source: 6, target: 8 }, { id: 11, source: 6, target: 8, label: 2 },
{ id: 12, source: 7, target: 8 }, { id: 12, source: 7, target: 8, label: 1 },
{ id: 13, source: 1, target: 5 }, { id: 13, source: 1, target: 5, label: 3 },
{ id: 14, source: 1, target: 6 }, { id: 14, source: 1, target: 6, label: 2 },
{ id: 15, source: 1, target: 7 }, { id: 15, source: 1, target: 7, label: 1 },
{ id: 16, source: 2, target: 5 }, { id: 16, source: 2, target: 5, label: 2 },
{ id: 17, source: 2, target: 6 }, { id: 17, source: 2, target: 6, label: 3 },
{ id: 18, source: 2, target: 8 }, { id: 18, source: 2, target: 8, label: 1 },
{ id: 19, source: 3, target: 5 }, { id: 19, source: 3, target: 5, label: 1 },
{ id: 20, source: 3, target: 7 }, { id: 20, source: 3, target: 7, label: 3 },
{ id: 21, source: 3, target: 8 }, { id: 21, source: 3, target: 8, label: 2 },
{ id: 22, source: 4, target: 6 }, { id: 22, source: 4, target: 6, label: 1 },
{ id: 23, source: 4, target: 7 }, { id: 23, source: 4, target: 7, label: 2 },
{ id: 24, source: 4, target: 8 }, { id: 24, source: 4, target: 8, label: 3 },
] ]
@ -85,22 +91,22 @@ export const tesseract = () => {
const s2 = Math.sqrt(2) * 0.5; const s2 = Math.sqrt(2) * 0.5;
return { return {
nodes: [ nodes: [
{ id: 1, label: 0, x: -s2, y: -s2, z: -s2, w: -s2 }, { id: 1, label: 1, x: -s2, y: -s2, z: -s2, w: -s2 },
{ id: 2, label: 1, x: s2, y: -s2, z: -s2, w: -s2 }, { id: 2, label: 2, x: s2, y: -s2, z: -s2, w: -s2 },
{ id: 3, label: 1, x: -s2, y: s2, z: -s2, w: -s2 }, { id: 3, label: 2, x: -s2, y: s2, z: -s2, w: -s2 },
{ id: 4, label: 0, x: s2, y: s2, z: -s2, w: -s2 }, { id: 4, label: 1, x: s2, y: s2, z: -s2, w: -s2 },
{ id: 5, label: 1, x: -s2, y: -s2, z: s2, w: -s2 }, { id: 5, label: 2, x: -s2, y: -s2, z: s2, w: -s2 },
{ id: 6, label: 0, x: s2, y: -s2, z: s2, w: -s2 }, { id: 6, label: 1, x: s2, y: -s2, z: s2, w: -s2 },
{ id: 7, label: 0, x: -s2, y: s2, z: s2, w: -s2 }, { id: 7, label: 1, x: -s2, y: s2, z: s2, w: -s2 },
{ id: 8, label: 1, x: s2, y: s2, z: s2, w: -s2 }, { id: 8, label: 2, x: s2, y: s2, z: s2, w: -s2 },
{ id: 9, label: 1, x: -s2, y: -s2, z: -s2, w: s2 }, { id: 9, label: 2, x: -s2, y: -s2, z: -s2, w: s2 },
{ id: 10, label: 0, x: s2, y: -s2, z: -s2, w: s2 }, { id: 10, label: 1, x: s2, y: -s2, z: -s2, w: s2 },
{ id: 11, label: 0, x: -s2, y: s2, z: -s2, w: s2 }, { id: 11, label: 1, x: -s2, y: s2, z: -s2, w: s2 },
{ id: 12, label: 1, x: s2, y: s2, z: -s2, w: s2 }, { id: 12, label: 2, x: s2, y: s2, z: -s2, w: s2 },
{ id: 13, label: 0, x: -s2, y: -s2, z: s2, w: s2 }, { id: 13, label: 1, x: -s2, y: -s2, z: s2, w: s2 },
{ id: 14, label: 1, x: s2, y: -s2, z: s2, w: s2 }, { id: 14, label: 2, x: s2, y: -s2, z: s2, w: s2 },
{ id: 15, label: 1, x: -s2, y: s2, z: s2, w: s2 }, { id: 15, label: 2, x: -s2, y: s2, z: s2, w: s2 },
{ id: 16, label: 0, x: s2, y: s2, z: s2, w: s2 }, { id: 16, label: 1, x: s2, y: s2, z: s2, w: s2 },
], ],
links: [ links: [
{ id: 1, source: 1, target: 2 }, { id: 1, source: 1, target: 2 },
@ -145,17 +151,17 @@ export const tesseract = () => {
// this was done manually and I'm not sure if it's right // this was done manually and I'm not sure if it's right
const CELL24_INDEXING = { const CELL24_INDEXING = {
x: { y: 0, z: 2, w: 1 }, x: { y: 1, z: 3, w: 2 },
y: { z: 1, w: 2 }, y: { z: 2, w: 3 },
z: { w: 0 }, z: { w: 1 },
}; };
// note that this depends on the colour mapping in main.js, yuck // note that this depends on the colour mapping in main.js, yuck
const CELL24_LINK_INDEXING = { const CELL24_LINK_INDEXING = {
0: { 1: 0, 2: 2 }, 1: { 2: 1, 3: 3 },
1: { 0: 0, 2: 1 }, 2: { 1: 1, 3: 2 },
2: { 0: 2, 1: 1 }, 3: { 1: 3, 2: 2 },
} }
function make_24cell_vertices() { function make_24cell_vertices() {