2023-07-22 01:11:18 +00:00
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import * as THREE from 'three';
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2023-07-24 23:05:06 +00:00
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import * as POLYTOPES from './polytopes.js';
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2023-07-23 01:07:24 +00:00
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2023-07-24 23:05:06 +00:00
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import { FourDShape } from './fourDShape.js';
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2023-07-24 02:34:48 +00:00
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2023-07-25 05:43:26 +00:00
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import { GUI } from 'lil-gui';
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2023-07-22 03:24:42 +00:00
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2023-07-22 06:59:48 +00:00
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2023-07-25 06:50:37 +00:00
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const DEFAULT_SHAPE = '24-cell';
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2023-07-23 08:16:02 +00:00
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2023-07-23 05:57:34 +00:00
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// hacky stuff for 4d rotations
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2023-07-23 01:07:24 +00:00
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2023-07-23 05:57:34 +00:00
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// see https://math.stackexchange.com/questions/1402362/can-rotations-in-4d-be-given-an-explicit-matrix-form#1402376
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2023-07-23 01:07:24 +00:00
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2023-07-23 05:57:34 +00:00
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function rotZW(theta) {
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const ctheta = Math.cos(theta);
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const stheta = Math.sin(theta);
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return new THREE.Matrix4(
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ctheta, -stheta, 0, 0,
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stheta, ctheta, 0, 0,
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0, 0, 1, 0,
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0, 0, 0, 1
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);
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}
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function rotYW(theta) {
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const ctheta = Math.cos(theta);
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const stheta = Math.sin(theta);
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return new THREE.Matrix4(
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ctheta, 0, -stheta, 0,
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0, 1, 0, 0,
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stheta, 0, ctheta, 0,
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0, 0, 0, 1,
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);
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}
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function rotYZ(theta) {
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const ctheta = Math.cos(theta);
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const stheta = Math.sin(theta);
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return new THREE.Matrix4(
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ctheta, 0, 0, -stheta,
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0, 1, 0, 0,
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0, 0, 1, 0,
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stheta, 0, 0, ctheta,
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);
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}
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function rotXW(theta) {
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const ctheta = Math.cos(theta);
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const stheta = Math.sin(theta);
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return new THREE.Matrix4(
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1, 0, 0, 0,
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0, ctheta, -stheta, 0,
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0, stheta, ctheta, 0,
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0, 0, 0, 1
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);
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}
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function rotXZ(theta) {
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const ctheta = Math.cos(theta);
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const stheta = Math.sin(theta);
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return new THREE.Matrix4(
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1, 0, 0, 0,
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0, ctheta, 0, -stheta,
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0, 0, 1, 0,
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0, stheta, 0, ctheta,
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);
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}
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function rotXY(theta) {
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const ctheta = Math.cos(theta);
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const stheta = Math.sin(theta);
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return new THREE.Matrix4(
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1, 0, 0, 0,
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0, 1, 0, 0,
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0, 0, ctheta, -stheta,
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0, 0, stheta, ctheta,
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);
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}
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2023-07-22 06:59:48 +00:00
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2023-07-22 03:24:42 +00:00
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2023-07-22 06:59:48 +00:00
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2023-07-22 01:11:18 +00:00
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const scene = new THREE.Scene();
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const camera = new THREE.PerspectiveCamera( 75, window.innerWidth / window.innerHeight, 0.1, 1000 );
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2023-07-22 05:14:35 +00:00
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const light = new THREE.PointLight(0xffffff, 2);
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light.position.set(10, 10, 10);
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scene.add(light);
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2023-07-24 02:34:48 +00:00
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const amblight = new THREE.AmbientLight(0xffffff, 0.5);
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2023-07-22 05:14:35 +00:00
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scene.add(amblight);
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scene.background = new THREE.Color(0xdddddd);
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2023-07-24 23:05:06 +00:00
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2023-07-23 08:16:02 +00:00
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const renderer = new THREE.WebGLRenderer({antialias: true});
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2023-07-22 01:11:18 +00:00
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renderer.setSize( window.innerWidth, window.innerHeight );
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document.body.appendChild( renderer.domElement );
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2023-07-24 23:55:33 +00:00
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const NODE_OPACITY = 1.0;
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const LINK_OPACITY = 0.7;
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// nodes. links
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// 0 R 0 (0-1) Y
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// 1 G 1 (1-2) C
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// 2 B 2 (0-2) M
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// duals
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// 0 C 0 (0-1) G
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// 1 Y 1 (1-2) R
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// 2 M 2 (0-2) B
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2023-07-24 02:34:48 +00:00
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2023-07-24 23:34:53 +00:00
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const node_ms = [
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2023-07-24 23:55:33 +00:00
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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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2023-07-24 23:34:53 +00:00
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];
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2023-07-24 02:34:48 +00:00
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2023-07-24 23:34:53 +00:00
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for( const node_m of node_ms ) {
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2023-07-24 23:55:33 +00:00
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node_m.roughness = 0.9;
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2023-07-22 03:40:01 +00:00
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2023-07-24 06:28:23 +00:00
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if( NODE_OPACITY < 1.0 ) {
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node_m.transparent = true;
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node_m.opacity = NODE_OPACITY;
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}
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2023-07-24 02:00:34 +00:00
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}
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2023-07-24 23:34:53 +00:00
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const link_ms = [
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2023-07-24 23:55:33 +00:00
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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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2023-07-24 23:34:53 +00:00
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];
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2023-07-24 02:00:34 +00:00
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2023-07-24 23:34:53 +00:00
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for( const link_m of link_ms ) {
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2023-07-24 23:55:33 +00:00
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link_m.metalness = 0.8;
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link_m.roughness = 0.1;
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2023-07-24 02:00:34 +00:00
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2023-07-24 23:55:33 +00:00
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if( LINK_OPACITY < 1.0 ) {
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link_m.transparent = true;
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link_m.opacity = LINK_OPACITY;
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2023-07-24 23:34:53 +00:00
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}
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2023-07-24 02:00:34 +00:00
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}
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2023-07-22 06:59:48 +00:00
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2023-07-25 05:43:26 +00:00
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const STRUCTURES = {
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'5-cell': POLYTOPES.cell5(),
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'16-cell': POLYTOPES.cell16(),
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'tesseract': POLYTOPES.tesseract(),
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'24-cell': POLYTOPES.cell24(),
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};
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2023-07-25 06:50:37 +00:00
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console.log(STRUCTURES);
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2023-07-25 05:43:26 +00:00
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let shape = false;
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function createShape(name) {
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if( shape ) {
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scene.remove(shape);
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}
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shape = new FourDShape(node_ms, link_ms, STRUCTURES[name]);
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scene.add(shape);
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}
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2023-07-24 23:55:33 +00:00
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2023-07-22 03:24:42 +00:00
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2023-07-22 03:40:01 +00:00
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2023-07-25 06:50:37 +00:00
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createShape(DEFAULT_SHAPE);
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2023-07-22 03:24:42 +00:00
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2023-07-24 03:57:51 +00:00
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camera.position.z = 4;
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2023-07-24 02:34:48 +00:00
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2023-07-25 06:50:37 +00:00
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const dragK = 0.005;
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2023-07-24 06:28:23 +00:00
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2023-07-23 05:57:34 +00:00
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let theta = 0;
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2023-07-24 03:57:51 +00:00
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let psi = 0;
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let startX = 0;
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let startY = 0;
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2023-07-24 06:28:23 +00:00
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let startX0 = 0;
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let startY0 = 0;
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2023-07-24 03:57:51 +00:00
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renderer.domElement.addEventListener("mousedown", (event) => {
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if( event.buttons === 1 ) {
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startX = event.clientX;
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startY = event.clientY;
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2023-07-24 06:28:23 +00:00
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startX0 = theta / dragK;
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startY0 = theta / dragK;
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2023-07-24 03:57:51 +00:00
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}
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})
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renderer.domElement.addEventListener("mousemove", (event) => {
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if( event.buttons === 1 ) {
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2023-07-24 06:28:23 +00:00
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theta = (event.clientX - startX + startX0) * dragK;
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psi = (event.clientY - startY + startY0) * dragK;
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2023-07-24 03:57:51 +00:00
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}
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})
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2023-07-22 01:11:18 +00:00
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2023-07-25 05:43:26 +00:00
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// set up GUI
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const gui = new GUI();
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const gui_params = {
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2023-07-25 06:50:37 +00:00
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shape: DEFAULT_SHAPE,
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2023-07-25 05:43:26 +00:00
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hyperplane: 2,
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xRotate: 'YW',
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yRotate: 'XZ',
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};
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gui.add(gui_params, 'shape',
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[ '5-cell', '16-cell', 'tesseract', '24-cell' ]
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).onChange(createShape)
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2023-07-25 06:50:37 +00:00
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gui.add(gui_params, 'hyperplane', 1.5, 4);
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2023-07-25 05:43:26 +00:00
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gui.add(gui_params, 'xRotate', [ 'YW', 'YZ', 'ZW' ]);
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gui.add(gui_params, 'yRotate', [ 'XZ', 'XY', 'XW' ]);
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const ROTFN = {
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XY: rotXY,
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XZ: rotXZ,
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XW: rotXW,
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YZ: rotYZ,
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YW: rotYW,
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ZW: rotZW,
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};
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2023-07-22 01:11:18 +00:00
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2023-07-22 03:24:42 +00:00
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2023-07-23 05:57:34 +00:00
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const rotation = new THREE.Matrix4();
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2023-07-22 06:59:48 +00:00
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2023-07-22 01:11:18 +00:00
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function animate() {
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requestAnimationFrame( animate );
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2023-07-25 05:43:26 +00:00
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const rotations = [
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ROTFN[gui_params.xRotate](theta),
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ROTFN[gui_params.yRotate](psi)
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];
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shape.hyperplane = gui_params.hyperplane;
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2023-07-23 08:16:02 +00:00
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shape.render3(rotations);
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2023-07-22 01:11:18 +00:00
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renderer.render( scene, camera );
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}
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animate();
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