fourdjs/main.js

import * as THREE from 'three';



const NODE_SIZE = 0.07;
const LINK_SIZE = 0.02;

const HYPERPLANE = 4;

const r5 = Math.sqrt(5);

const CELL5 = {
	nodes: [
      {id:1, x: 1, y: 1, z: 1, w: -1 / r5 },
      {id:2, x: 1, y: -1, z: -1, w: -1 / r5 },
      {id:3, x: -1, y: 1, z: -1, w: -1 / r5 },
      {id:4, x: -1, y: -1, z: 1, w: -1 / r5 },
      {id:5, x: 0, y: 0, z: 0, w: 4 / r5 },
	],
	links: [
		{ id:1, source:1, target: 2},
		{ id:2, source:1, target: 3},
		{ id:3, source:1, target: 4},
		{ id:4, source:1, target: 5},
		{ id:5, source:2, target: 3},
		{ id:6, source:2, target: 4},
		{ id:7, source:2, target: 5},
		{ id:8, source:3, target: 4},
		{ id:9, source:3, target: 5},
		{ id:10, source:4, target: 5},
		]

	};


const CELL16 = {
	nodes: [
		{ id: 1, x: 0, y: -1, z: 0, w: 0 },
		{ id: 2, x: 0, y: 0, z: -1, w: 0 },
		{ id: 3, x: -1, y: 0, z: 0, w: 0 },
		{ id: 4, x: 0, y: 0, z: 1, w: 0 },
		{ id: 5, x: 1, y: 0, z: 0, w: 0 },
		{ id: 6, x: 0, y: 1, z: 0, w: 0 },
		{ id: 7, x: 0, y: 0, z: 0, w: -1 },
		{ id: 8, x: 0, y: 0, z: 0, w: 1 },
	],
	links: [
		{ id: 1, source: 1, target: 2 },
		{ id: 2, source: 1, target: 3 },
		{ id: 3, source: 1, target: 4 },
		{ id: 4, source: 1, target: 5 },
		{ id: 5, source: 2, target: 3 },
		{ id: 6, source: 3, target: 4 },
		{ id: 7, source: 4, target: 5 },
		{ id: 8, source: 5, target: 2 },
		{ id: 9, source: 2, target: 6 },
		{ id: 10, source: 3, target: 6 },
		{ id: 11, source: 4, target: 6 },
		{ id: 12, source: 5, target: 6 },
		{ id: 13, source: 1, target: 7 },
		{ id: 14, source: 1, target: 8 },
		{ id: 15, source: 2, target: 7 },
		{ id: 16, source: 2, target: 8 },
		{ id: 17, source: 3, target: 7 },
		{ id: 18, source: 3, target: 8 },
		{ id: 19, source: 4, target: 7 },
		{ id: 20, source: 4, target: 8 },
		{ id: 21, source: 5, target: 7 },
		{ id: 22, source: 5, target: 8 },
		{ id: 23, source: 6, target: 7 },
		{ id: 25, source: 6, target: 8 },
	]
};




function fourDtoV3(x, y, z, w) {
	const k = HYPERPLANE / (HYPERPLANE + w);
	return new THREE.Vector3(x * k, y * k, z * k);
}


class FourDShape extends THREE.Group {

	constructor(node_m, link_m, structure) {
		super();
		this.node_m = node_m;
		this.link_m = link_m;
		this.nodes4 = structure.nodes;
		this.nodes3 = {}; // is a dict-by-id
		this.links = structure.links;
		this.initNodes3();
	}

	initNodes3() {
		for( const n of this.nodes4 ) {
			const v3 = fourDtoV3(n.x, n.y, n.z, n.w);
			this.nodes3[n.id] = {
				v3: v3,
				object: this.makeNode(v3)
			};
		}
	}

	makeNode(v3) {
		const geometry = new THREE.SphereGeometry(NODE_SIZE);
		const sphere = new THREE.Mesh(geometry, this.node_m);
		sphere.position.copy(v3);
		console.log(`Added sphere ${sphere}`);
		this.add(sphere);
		return sphere;
	}
}





function makeLink(link_m, n1, n2) {
	const length = n1.distanceTo(n2);
	const centre = new THREE.Vector3();
	centre.lerpVectors(n1, n2, 0.5);
	const geometry = new THREE.CylinderGeometry(LINK_SIZE, LINK_SIZE,length);
	const cyl = new THREE.Mesh(geometry, link_m);
	const pivot = new THREE.Group();
	pivot.add(cyl);
	pivot.position.copy(centre);
	pivot.lookAt(n2);
	cyl.rotation.x = Math.PI / 2.0;
	return pivot;
}



function makeWireFrame(node_m, link_m, graph3) {
	const nodeids = {}
	const group = new THREE.Group();
	for ( const n of graph3.nodes ) {
		const v3 = new THREE.Vector3(n.x, n.y, n.z);
		nodeids[n.id] = v3.clone();
		const geometry = new THREE.SphereGeometry(NODE_SIZE);
		const sphere = new THREE.Mesh(geometry, node_m);
		sphere.position.copy(v3);
		group.add(sphere);
	}
	for ( const l of graph3.links ) {
		const link = makeLink(link_m, nodeids[l.source], nodeids[l.target]);
		group.add(link);
	}
	return group;
}





// TODO - turn W into a parameter for the node size

// function makeShape4D(node_m, link_m, graph4) {
// 	const nodes3 = nodes4tonodes3(graph4.nodes);
// 	const nodeids = {}
// 	const group = new FourDShape();
// 	for ( const n of nodes3 ) {
// 		nodeids[n.id] = n.v3;
// 		const geometry = new THREE.SphereGeometry(NODE_SIZE);
// 		const sphere = new THREE.Mesh(geometry, node_m);
// 		sphere.position.copy(n.v3);
// 		group.add(sphere);
// 	}
// 	for ( const l of graph4.links ) {
// 		const link = makeLink(link_m, nodeids[l.source], nodeids[l.target]);
// 		group.add(link);
// 	}
// 	return group;

// }



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, 0.2);
scene.add(amblight);

scene.background = new THREE.Color(0xdddddd);

const renderer = new THREE.WebGLRenderer();
renderer.setSize( window.innerWidth, window.innerHeight );
document.body.appendChild( renderer.domElement );

const node_m = new THREE.MeshStandardMaterial(
	{ color: 0x330000 } );

node_m.roughness = 0.2;

const link_m = new THREE.MeshStandardMaterial(
	{ color: 0xf0f0f0 } );


link_m.metalness = 0.4;
link_m.roughness = 0.0;
link_m.transparent = true;
link_m.opacity = 0.3;



const shape = new FourDShape(node_m, link_m, CELL5);




scene.add(shape);



camera.position.z = 3;

let tick = 0;


function animate() {
	requestAnimationFrame( animate );

	shape.rotation.x = tick * 0.3;
	shape.rotation.y = tick * 0.5;

	tick += 0.01;
	renderer.render( scene, camera );
}
animate();