import * as THREE from 'three'; import * as POLYTOPES from './polytopes.js'; import { FourDShape } from './fourDShape.js'; // hacky stuff for 4d rotations // see https://math.stackexchange.com/questions/1402362/can-rotations-in-4d-be-given-an-explicit-matrix-form#1402376 function rotZW(theta) { const ctheta = Math.cos(theta); const stheta = Math.sin(theta); return new THREE.Matrix4( ctheta, -stheta, 0, 0, stheta, ctheta, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ); } function rotYW(theta) { const ctheta = Math.cos(theta); const stheta = Math.sin(theta); return new THREE.Matrix4( ctheta, 0, -stheta, 0, 0, 1, 0, 0, stheta, 0, ctheta, 0, 0, 0, 0, 1, ); } function rotYZ(theta) { const ctheta = Math.cos(theta); const stheta = Math.sin(theta); return new THREE.Matrix4( ctheta, 0, 0, -stheta, 0, 1, 0, 0, 0, 0, 1, 0, stheta, 0, 0, ctheta, ); } function rotXW(theta) { const ctheta = Math.cos(theta); const stheta = Math.sin(theta); return new THREE.Matrix4( 1, 0, 0, 0, 0, ctheta, -stheta, 0, 0, stheta, ctheta, 0, 0, 0, 0, 1 ); } function rotXZ(theta) { const ctheta = Math.cos(theta); const stheta = Math.sin(theta); return new THREE.Matrix4( 1, 0, 0, 0, 0, ctheta, 0, -stheta, 0, 0, 1, 0, 0, stheta, 0, ctheta, ); } function rotXY(theta) { const ctheta = Math.cos(theta); const stheta = Math.sin(theta); return new THREE.Matrix4( 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, ctheta, -stheta, 0, 0, stheta, ctheta, ); } const scene = new THREE.Scene(); const camera = new THREE.PerspectiveCamera( 75, window.innerWidth / window.innerHeight, 0.1, 1000 ); const light = new THREE.PointLight(0xffffff, 2); light.position.set(10, 10, 10); scene.add(light); const amblight = new THREE.AmbientLight(0xffffff, 0.5); scene.add(amblight); scene.background = new THREE.Color(0xdddddd); const renderer = new THREE.WebGLRenderer({antialias: true}); renderer.setSize( window.innerWidth, window.innerHeight ); document.body.appendChild( renderer.domElement ); const NODE_OPACITY = 1.0; const LINK_OPACITY = 0.7; // nodes. links // 0 R 0 (0-1) Y // 1 G 1 (1-2) C // 2 B 2 (0-2) M // duals // 0 C 0 (0-1) G // 1 Y 1 (1-2) R // 2 M 2 (0-2) B const node_ms = [ new THREE.MeshStandardMaterial( { color: 0x20dddd } ), new THREE.MeshStandardMaterial( { color: 0xdddd20 } ), new THREE.MeshStandardMaterial( { color: 0xdd20dd } ), ]; for( const node_m of node_ms ) { node_m.roughness = 0.9; if( NODE_OPACITY < 1.0 ) { node_m.transparent = true; node_m.opacity = NODE_OPACITY; } } const link_ms = [ new THREE.MeshStandardMaterial( { color: 0x20dd20 } ), new THREE.MeshStandardMaterial( { color: 0xdd2020 } ), new THREE.MeshStandardMaterial( { color: 0x2020dd } ), ]; for( const link_m of link_ms ) { link_m.metalness = 0.8; link_m.roughness = 0.1; if( LINK_OPACITY < 1.0 ) { link_m.transparent = true; link_m.opacity = LINK_OPACITY; } } const struct = POLYTOPES.cell24(); const shape = new FourDShape(node_ms, link_ms, struct); scene.add(shape); camera.position.z = 4; const dragK = 0.01; let theta = 0; let psi = 0; let startX = 0; let startY = 0; let startX0 = 0; let startY0 = 0; renderer.domElement.addEventListener("mousedown", (event) => { if( event.buttons === 1 ) { startX = event.clientX; startY = event.clientY; startX0 = theta / dragK; startY0 = theta / dragK; } }) renderer.domElement.addEventListener("mousemove", (event) => { if( event.buttons === 1 ) { theta = (event.clientX - startX + startX0) * dragK; psi = (event.clientY - startY + startY0) * dragK; } }) const rotation = new THREE.Matrix4(); function animate() { requestAnimationFrame( animate ); const rotations = [rotYZ(theta), rotXZ(psi)]; shape.render3(rotations); renderer.render( scene, camera ); } animate();