Changed the 16-cell model to cell-first and adjusted the scale so that all

of the models are about the same size
feature-big-polytopes
Mike Lynch 2023-07-25 16:50:37 +10:00
parent b7355aa48c
commit dd7939943a
2 changed files with 70 additions and 54 deletions

12
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';
// hacky stuff for 4d rotations // hacky stuff for 4d rotations
@ -157,6 +157,8 @@ const STRUCTURES = {
'24-cell': POLYTOPES.cell24(), '24-cell': POLYTOPES.cell24(),
}; };
console.log(STRUCTURES);
let shape = false; let shape = false;
function createShape(name) { function createShape(name) {
@ -172,12 +174,12 @@ function createShape(name) {
createShape('24-cell'); createShape(DEFAULT_SHAPE);
camera.position.z = 4; camera.position.z = 4;
const dragK = 0.01; const dragK = 0.005;
let theta = 0; let theta = 0;
let psi = 0; let psi = 0;
@ -208,7 +210,7 @@ renderer.domElement.addEventListener("mousemove", (event) => {
const gui = new GUI(); const gui = new GUI();
const gui_params = { const gui_params = {
shape: '24-cell', shape: DEFAULT_SHAPE,
hyperplane: 2, hyperplane: 2,
xRotate: 'YW', xRotate: 'YW',
yRotate: 'XZ', yRotate: 'XZ',
@ -218,7 +220,7 @@ gui.add(gui_params, 'shape',
[ '5-cell', '16-cell', 'tesseract', '24-cell' ] [ '5-cell', '16-cell', 'tesseract', '24-cell' ]
).onChange(createShape) ).onChange(createShape)
gui.add(gui_params, 'hyperplane', 1, 4); gui.add(gui_params, 'hyperplane', 1.5, 4);
gui.add(gui_params, 'xRotate', [ 'YW', 'YZ', 'ZW' ]); gui.add(gui_params, 'xRotate', [ 'YW', 'YZ', 'ZW' ]);
gui.add(gui_params, 'yRotate', [ 'XZ', 'XY', 'XW' ]); gui.add(gui_params, 'yRotate', [ 'XZ', 'XY', 'XW' ]);

View File

@ -2,13 +2,14 @@
export const cell5 = () => { export const cell5 = () => {
const r5 = Math.sqrt(5); const r5 = Math.sqrt(5);
const r2 = Math.sqrt(2) / 2;
return { return {
nodes: [ nodes: [
{id:1, x: 1, y: 1, z: 1, w: -1 / r5 }, {id:1, x: r2, y: r2, z: r2, w: -r2 / r5 },
{id:2, x: 1, y: -1, z: -1, w: -1 / r5 }, {id:2, x: r2, y: -r2, z: -r2, w: -r2 / r5 },
{id:3, x: -1, y: 1, z: -1, w: -1 / r5 }, {id:3, x: -r2, y: r2, z: -r2, w: -r2 / r5 },
{id:4, x: -1, y: -1, z: 1, w: -1 / r5 }, {id:4, x: -r2, y: -r2, z: r2, w: -r2 / r5 },
{id:5, x: 0, y: 0, z: 0, w: 4 / r5 }, {id:5, x: 0, y: 0, z: 0, w: 4 * r2 / r5 },
], ],
links: [ links: [
{ id:1, source:1, target: 2}, { id:1, source:1, target: 2},
@ -27,66 +28,79 @@ export const cell5 = () => {
export const cell16 = () => { export const cell16 = () => {
const s2 = Math.sqrt(2) * 0.5;
return { return {
nodes: [ nodes: [
{ id: 1, x: 0, y: -1, z: 0, w: 0 }, { id: 1, label: 0, x: -s2, y: -s2, z: -s2, w: -s2 },
{ id: 2, x: 0, y: 0, z: -1, w: 0 }, { id: 2, label: 0, x: s2, y: s2, z: -s2, w: -s2 },
{ id: 3, x: -1, y: 0, z: 0, w: 0 }, { id: 3, label: 0, x: s2, y: -s2, z: s2, w: -s2 },
{ id: 4, x: 0, y: 0, z: 1, w: 0 }, { id: 4, label: 0, x: -s2, y: s2, z: s2, w: -s2 },
{ id: 5, x: 1, y: 0, z: 0, w: 0 }, { id: 5, label: 0, x: s2, y: -s2, z: -s2, w: s2 },
{ id: 6, x: 0, y: 1, z: 0, w: 0 }, { id: 6, label: 0, x: -s2, y: s2, z: -s2, w: s2 },
{ id: 7, x: 0, y: 0, z: 0, w: -1 }, { id: 7, label: 0, x: -s2, y: -s2, z: s2, w: s2 },
{ id: 8, x: 0, y: 0, z: 0, w: 1 }, { id: 8, label: 0, x: s2, y: s2, z: s2, w: s2 },
], ],
// opposite pairs: 1 - 8
// 2 - 7
// 3 - 6
// 4 - 5 .. these don't have edges
links: [ links: [
{ id: 1, source: 1, target: 2 }, { id: 1, source: 1, target: 2 },
{ id: 2, source: 1, target: 3 }, { id: 2, source: 1, target: 3 },
{ id: 3, source: 1, target: 4 }, { id: 3, source: 1, target: 4 },
{ id: 4, source: 1, target: 5 }, { id: 4, source: 2, target: 3 },
{ id: 5, source: 2, target: 3 }, { id: 5, source: 2, target: 4 },
{ id: 6, source: 3, target: 4 }, { id: 6, source: 3, target: 4 },
{ id: 7, source: 4, target: 5 },
{ id: 8, source: 5, target: 2 }, { id: 7, source: 5, target: 6 },
{ id: 9, source: 2, target: 6 }, { id: 8, source: 5, target: 7 },
{ id: 10, source: 3, target: 6 }, { id: 9, source: 5, target: 8 },
{ id: 11, source: 4, target: 6 }, { id: 10, source: 6, target: 7 },
{ id: 12, source: 5, target: 6 }, { id: 11, source: 6, target: 8 },
{ id: 13, source: 1, target: 7 }, { id: 12, source: 7, target: 8 },
{ id: 14, source: 1, target: 8 },
{ id: 15, source: 2, target: 7 }, { id: 13, source: 1, target: 5 },
{ id: 16, source: 2, target: 8 }, { id: 14, source: 1, target: 6 },
{ id: 17, source: 3, target: 7 }, { id: 15, source: 1, target: 7 },
{ id: 18, source: 3, target: 8 }, { id: 16, source: 2, target: 5 },
{ id: 19, source: 4, target: 7 }, { id: 17, source: 2, target: 6 },
{ id: 20, source: 4, target: 8 }, { id: 18, source: 2, target: 8 },
{ id: 21, source: 5, target: 7 },
{ id: 22, source: 5, target: 8 }, { id: 19, source: 3, target: 5 },
{ id: 23, source: 6, target: 7 }, { id: 20, source: 3, target: 7 },
{ id: 24, source: 6, target: 8 }, { id: 21, source: 3, target: 8 },
{ id: 22, source: 4, target: 6 },
{ id: 23, source: 4, target: 7 },
{ id: 24, source: 4, target: 8 },
] ]
} }
}; };
export const tesseract = () => { export const tesseract = () => {
const s2 = Math.sqrt(2) * 0.5;
return { return {
nodes: [ nodes: [
{ id: 1, label: 0, x: -0.5, y: -0.5, z: -0.5, w: -0.5 }, { id: 1, label: 0, x: -s2, y: -s2, z: -s2, w: -s2 },
{ id: 2, label: 1, x: 0.5, y: -0.5, z: -0.5, w: -0.5 }, { id: 2, label: 1, x: s2, y: -s2, z: -s2, w: -s2 },
{ id: 3, label: 1, x: -0.5, y: 0.5, z: -0.5, w: -0.5 }, { id: 3, label: 1, x: -s2, y: s2, z: -s2, w: -s2 },
{ id: 4, label: 0, x: 0.5, y: 0.5, z: -0.5, w: -0.5 }, { id: 4, label: 0, x: s2, y: s2, z: -s2, w: -s2 },
{ id: 5, label: 1, x: -0.5, y: -0.5, z: 0.5, w: -0.5 }, { id: 5, label: 1, x: -s2, y: -s2, z: s2, w: -s2 },
{ id: 6, label: 0, x: 0.5, y: -0.5, z: 0.5, w: -0.5 }, { id: 6, label: 0, x: s2, y: -s2, z: s2, w: -s2 },
{ id: 7, label: 0, x: -0.5, y: 0.5, z: 0.5, w: -0.5 }, { id: 7, label: 0, x: -s2, y: s2, z: s2, w: -s2 },
{ id: 8, label: 1, x: 0.5, y: 0.5, z: 0.5, w: -0.5 }, { id: 8, label: 1, x: s2, y: s2, z: s2, w: -s2 },
{ id: 9, label: 1, x: -0.5, y: -0.5, z: -0.5, w: 0.5 }, { id: 9, label: 1, x: -s2, y: -s2, z: -s2, w: s2 },
{ id: 10, label: 0, x: 0.5, y: -0.5, z: -0.5, w: 0.5 }, { id: 10, label: 0, x: s2, y: -s2, z: -s2, w: s2 },
{ id: 11, label: 0, x: -0.5, y: 0.5, z: -0.5, w: 0.5 }, { id: 11, label: 0, x: -s2, y: s2, z: -s2, w: s2 },
{ id: 12, label: 1, x: 0.5, y: 0.5, z: -0.5, w: 0.5 }, { id: 12, label: 1, x: s2, y: s2, z: -s2, w: s2 },
{ id: 13, label: 0, x: -0.5, y: -0.5, z: 0.5, w: 0.5 }, { id: 13, label: 0, x: -s2, y: -s2, z: s2, w: s2 },
{ id: 14, label: 1, x: 0.5, y: -0.5, z: 0.5, w: 0.5 }, { id: 14, label: 1, x: s2, y: -s2, z: s2, w: s2 },
{ id: 15, label: 1, x: -0.5, y: 0.5, z: 0.5, w: 0.5 }, { id: 15, label: 1, x: -s2, y: s2, z: s2, w: s2 },
{ id: 16, label: 0, x: 0.5, y: 0.5, z: 0.5, w: 0.5 }, { id: 16, label: 0, x: s2, y: s2, z: s2, w: s2 },
], ],
links: [ links: [
{ id: 1, source: 1, target: 2 }, { id: 1, source: 1, target: 2 },