refactored shapes out
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399a29c30e
commit
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import * as THREE from 'three';
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const HYPERPLANE = 2;
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const NODE_SIZE = 0.08;
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const LINK_SIZE = 0.02;
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function fourDtoV3(x, y, z, w, rotations) {
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const v4 = new THREE.Vector4(x, y, z, w);
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for ( const m4 of rotations ) {
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v4.applyMatrix4(m4);
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}
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const k = HYPERPLANE / (HYPERPLANE + v4.w);
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return new THREE.Vector3(v4.x * k, v4.y * k, v4.z * k);
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}
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class FourDShape extends THREE.Group {
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constructor(node_ms, link_m, structure) {
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super();
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this.node_ms = node_ms;
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this.link_m = link_m;
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this.nodes4 = structure.nodes;
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this.nodes3 = {};
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this.links = structure.links;
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this.initShapes();
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}
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makeNode(material, v3) {
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const geometry = new THREE.SphereGeometry(NODE_SIZE);
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const sphere = new THREE.Mesh(geometry, material);
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sphere.position.copy(v3);
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this.add(sphere);
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return sphere;
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}
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makeLink(link) {
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const n1 = this.nodes3[link.source].v3;
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const n2 = this.nodes3[link.target].v3;
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const length = n1.distanceTo(n2);
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const centre = new THREE.Vector3();
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centre.lerpVectors(n1, n2, 0.5);
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const geometry = new THREE.CylinderGeometry(LINK_SIZE, LINK_SIZE, 1);
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const cyl = new THREE.Mesh(geometry, this.link_m);
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const edge = new THREE.Group();
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edge.add(cyl);
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edge.position.copy(centre);
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edge.scale.copy(new THREE.Vector3(1, 1, length));
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edge.lookAt(n2);
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cyl.rotation.x = Math.PI / 2.0;
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this.add(edge);
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return edge;
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}
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updateLink(link) {
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const n1 = this.nodes3[link.source].v3;
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const n2 = this.nodes3[link.target].v3;
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const length = n1.distanceTo(n2);
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const centre = new THREE.Vector3();
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centre.lerpVectors(n1, n2, 0.5);
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link.object.scale.copy(new THREE.Vector3(1, 1, length));
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link.object.position.copy(centre);
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link.object.lookAt(n2);
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link.object.children[0].rotation.x = Math.PI / 2.0;
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}
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initShapes() {
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for( const n of this.nodes4 ) {
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const v3 = fourDtoV3(n.x, n.y, n.z, n.w, []);
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const material = this.node_ms[n.label];
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this.nodes3[n.id] = {
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v3: v3,
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object: this.makeNode(material, v3)
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};
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}
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for( const l of this.links ) {
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l.object = this.makeLink(l);
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}
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}
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render3(rotations) {
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for( const n of this.nodes4 ) {
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const v3 = fourDtoV3(n.x, n.y, n.z, n.w, rotations);
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this.nodes3[n.id].v3 = v3;
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this.nodes3[n.id].object.position.copy(v3);
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// could do scaling here
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}
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for( const l of this.links ) {
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this.updateLink(l);
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}
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}
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}
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export { FourDShape };
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101
main.js
101
main.js
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@ -1,14 +1,12 @@
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import * as THREE from 'three';
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import * as SHAPES from './shapes.js';
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import * as POLYTOPES from './polytopes.js';
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import { FourDShape } from './fourDShape.js';
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const NODE_SIZE = 0.08;
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const LINK_SIZE = 0.02;
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const NODE_OPACITY = 1.0;
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const LINK_OPACITY = 0.7;
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const HYPERPLANE = 2;
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@ -85,98 +83,6 @@ function rotXY(theta) {
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}
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// putting rotation here first - it's a matrix4
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function fourDtoV3(x, y, z, w, rotations) {
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const v4 = new THREE.Vector4(x, y, z, w);
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for ( const m4 of rotations ) {
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v4.applyMatrix4(m4);
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}
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const k = HYPERPLANE / (HYPERPLANE + v4.w);
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return new THREE.Vector3(v4.x * k, v4.y * k, v4.z * k);
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}
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class FourDShape extends THREE.Group {
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constructor(node_ms, link_m, structure) {
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super();
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this.node_ms = node_ms;
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this.link_m = link_m;
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this.nodes4 = structure.nodes;
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this.nodes3 = {};
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this.links = structure.links;
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this.initShapes();
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}
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makeNode(material, v3) {
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const geometry = new THREE.SphereGeometry(NODE_SIZE);
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const sphere = new THREE.Mesh(geometry, material);
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sphere.position.copy(v3);
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this.add(sphere);
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return sphere;
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}
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makeLink(link) {
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const n1 = this.nodes3[link.source].v3;
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const n2 = this.nodes3[link.target].v3;
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const length = n1.distanceTo(n2);
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const centre = new THREE.Vector3();
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centre.lerpVectors(n1, n2, 0.5);
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const geometry = new THREE.CylinderGeometry(LINK_SIZE, LINK_SIZE, 1);
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const cyl = new THREE.Mesh(geometry, this.link_m);
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const edge = new THREE.Group();
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edge.add(cyl);
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edge.position.copy(centre);
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edge.scale.copy(new THREE.Vector3(1, 1, length));
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edge.lookAt(n2);
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cyl.rotation.x = Math.PI / 2.0;
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this.add(edge);
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return edge;
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}
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updateLink(link) {
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const n1 = this.nodes3[link.source].v3;
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const n2 = this.nodes3[link.target].v3;
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const length = n1.distanceTo(n2);
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const centre = new THREE.Vector3();
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centre.lerpVectors(n1, n2, 0.5);
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link.object.scale.copy(new THREE.Vector3(1, 1, length));
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link.object.position.copy(centre);
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link.object.lookAt(n2);
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link.object.children[0].rotation.x = Math.PI / 2.0;
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}
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initShapes() {
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for( const n of this.nodes4 ) {
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const v3 = fourDtoV3(n.x, n.y, n.z, n.w, []);
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const material = this.node_ms[n.label];
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this.nodes3[n.id] = {
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v3: v3,
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object: this.makeNode(material, v3)
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};
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}
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for( const l of this.links ) {
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l.object = this.makeLink(l);
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}
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}
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render3(rotations) {
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for( const n of this.nodes4 ) {
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const v3 = fourDtoV3(n.x, n.y, n.z, n.w, rotations);
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this.nodes3[n.id].v3 = v3;
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this.nodes3[n.id].object.position.copy(v3);
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// could do scaling here
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}
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for( const l of this.links ) {
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this.updateLink(l);
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}
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}
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}
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@ -195,11 +101,12 @@ scene.add(amblight);
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scene.background = new THREE.Color(0xdddddd);
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const renderer = new THREE.WebGLRenderer({antialias: true});
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renderer.setSize( window.innerWidth, window.innerHeight );
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document.body.appendChild( renderer.domElement );
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const struct = SHAPES.cell24();
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const struct = POLYTOPES.cell24();
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// TODO = automate going from struct labels to colours, this now only
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// works with the 24-cell
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