Changed the 16-cell model to cell-first and adjusted the scale so that all
of the models are about the same sizefeature-big-polytopes
Mike Lynch
parent
b7355aa48c
commit
dd7939943a
12
main.js
12
main.js
|
|
@ -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' ]);
|
||||||
|
|
||||||
|
|
|
||||||
112
polytopes.js
112
polytopes.js
|
|
@ -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 },
|
||||||
|
|
|
||||||
Loading…
Reference in New Issue