Merge branch 'main' into feature-faces
Mike Lynch
commit
bf0b0559ef
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@ -3,10 +3,6 @@ import * as THREE from 'three';
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const HYPERPLANE = 2;
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const NODE_SIZE = 0.01;
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const LINK_SIZE = 0.01;
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class FourDShape extends THREE.Group {
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@ -19,6 +15,9 @@ class FourDShape extends THREE.Group {
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this.nodes3 = {};
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this.links = structure.links;
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this.faces = ( "faces" in structure ) ? structure.faces : [];
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this.node_size = structure.geometry.node_size;
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this.link_size = structure.geometry.link_size;
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this.geom_scale = 1;
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this.hyperplane = HYPERPLANE;
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this.initShapes();
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}
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@ -36,7 +35,7 @@ class FourDShape extends THREE.Group {
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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 geometry = new THREE.SphereGeometry(this.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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@ -49,7 +48,7 @@ class FourDShape extends THREE.Group {
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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 geometry = new THREE.CylinderGeometry(this.link_size, this.link_size, 1);
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const cyl = new THREE.Mesh(geometry, material);
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const edge = new THREE.Group();
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edge.add(cyl);
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@ -67,7 +66,7 @@ class FourDShape extends THREE.Group {
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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.scale.copy(new THREE.Vector3(this.geom_scale, this.geom_scale, 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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@ -130,11 +129,12 @@ class FourDShape extends THREE.Group {
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render3(rotations) {
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this.scalev3 = new THREE.Vector3(this.geom_scale, this.geom_scale, this.geom_scale);
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for( const n of this.nodes4 ) {
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const v3 = this.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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this.nodes3[n.id].object.scale.copy(this.scalev3);
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}
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for( const l of this.links ) {
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@ -149,4 +149,4 @@ class FourDShape extends THREE.Group {
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}
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export { FourDShape };
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export { FourDShape };
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@ -0,0 +1,149 @@
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import { GUI } from 'lil-gui';
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const DEFAULT_SHAPE = '120-cell';
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const DEFAULT_COLOR = 0x3293a9;
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const DEFAULT_BG = 0x808080;
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class FourDGUI {
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constructor(createShape, setColor, setBackground) {
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this.gui = new GUI();
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this.parseLinkParams();
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const guiObj = this;
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this.params = {
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shape: this.link['shape'] || DEFAULT_SHAPE,
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thickness: this.link['thickness'] || 1,
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color: this.link['color'] || DEFAULT_COLOR,
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background: this.link['background'] || DEFAULT_BG,
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hyperplane: this.link['hyperplane'] || 2,
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xRotate: this.link['xRotate'] || 'YW',
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yRotate: this.link['yRotate'] || 'XZ',
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damping: false,
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dtheta: this.link['dtheta'] || 0,
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dpsi: this.link['dpsi'] || 0,
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"copy link": function () { guiObj.copyUrl() }
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};
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this.gui.add(this.params, 'shape',
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[ '5-cell', '16-cell', 'tesseract', '24-cell', '120-cell', '600-cell' ]
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).onChange(createShape)
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this.gui.add(this.params, 'hyperplane', 1.5, 4);
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this.gui.add(this.params, 'thickness', 0.1, 4);
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this.gui.addColor(this.params, 'color').onChange(setColor);
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this.gui.addColor(this.params, 'background').onChange(setBackground);
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this.gui.add(this.params, 'xRotate', [ 'YW', 'YZ', 'ZW' ]);
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this.gui.add(this.params, 'yRotate', [ 'XZ', 'XY', 'XW' ]);
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this.gui.add(this.params, 'damping');
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this.gui.add(this.params, 'copy link');
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}
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numParam(param, parser, dft) {
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const value = this.urlParams.get(param);
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if( value ) {
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const n = parser(value);
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if( n !== NaN ) {
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return n;
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}
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}
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return dft;
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}
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stringToHex(cstr) {
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return parseInt('0x' + cstr.substr(1));
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}
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hexToString(hex) {
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return '#' + hex.toString(16);
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}
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parseLinkParams() {
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this.linkUrl = new URL(window.location.toLocaleString());
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this.link = {};
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this.urlParams = this.linkUrl.searchParams;
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for( const param of [ "shape", "xRotate", "yRotate" ]) {
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const value = this.urlParams.get(param);
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if( value ) {
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this.link[param] = value;
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}
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}
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const guiObj = this;
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this.link['hyperplane'] = this.numParam('hyperplane', parseFloat, 2);
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this.link['thickness'] = this.numParam('thickness', parseFloat, 1);
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this.link['color'] = this.numParam(
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'color', (s) => guiObj.stringToHex(s), DEFAULT_COLOR
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);
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this.link['background'] = this.numParam(
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'background', (s) => guiObj.stringToHex(s), DEFAULT_BG
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);
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this.link['dpsi'] = this.numParam('dpsi', parseFloat, 0);
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this.link['dtheta'] = this.numParam('dtheta', parseFloat, 0);
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}
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copyUrl() {
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const url = new URL(this.linkUrl.origin + this.linkUrl.pathname);
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url.searchParams.append("shape", this.params.shape);
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url.searchParams.append("thickness", this.params.thickness.toString());
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url.searchParams.append("color", this.hexToString(this.params.color));
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url.searchParams.append("background", this.hexToString(this.params.background));
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url.searchParams.append("hyperplane", this.params.hyperplane.toString());
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url.searchParams.append("xRotate", this.params.xRotate);
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url.searchParams.append("yRotate", this.params.yRotate);
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url.searchParams.append("dtheta", this.params.dtheta.toString());
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url.searchParams.append("dpsi", this.params.dpsi.toString());
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this.copyTextToClipboard(url);
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}
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copyTextToClipboard(text) {
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if (!navigator.clipboard) {
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this.fallbackCopyTextToClipboard(text);
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return;
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}
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navigator.clipboard.writeText(text).then(function() {
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console.log('Async: Copying to clipboard was successful!');
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}, function(err) {
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console.error('Async: Could not copy text: ', err);
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});
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}
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fallbackCopyTextToClipboard(text) {
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var textArea = document.createElement("textarea");
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textArea.value = text;
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// Avoid scrolling to bottom
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textArea.style.top = "0";
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textArea.style.left = "0";
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textArea.style.position = "fixed";
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document.body.appendChild(textArea);
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textArea.focus();
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textArea.select();
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try {
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var successful = document.execCommand('copy');
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var msg = successful ? 'successful' : 'unsuccessful';
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console.log('Fallback: Copying text command was ' + msg);
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} catch (err) {
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console.error('Fallback: Oops, unable to copy', err);
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}
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document.body.removeChild(textArea);
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}
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}
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export { FourDGUI };
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204
main.js
204
main.js
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@ -1,145 +1,39 @@
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import * as THREE from 'three';
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import * as POLYTOPES from './polytopes.js';
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import * as POLYTOPES from './polytopes.js';
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import { rotfn } from './rotation.js';
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import { FourDGUI } from './gui.js';
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import { FourDShape } from './fourDShape.js';
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import { GUI } from 'lil-gui';
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const DEFAULT_SHAPE = '5-cell';
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// hacky stuff for 4d rotations
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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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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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// scene, lights and camera
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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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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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const light2 = new THREE.PointLight(0xffffff, 2);
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light2.position.set(-10, 5, 10);
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scene.add(light);
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const amblight = new THREE.AmbientLight(0xffffff, 0.5);
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scene.add(amblight);
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scene.background = new THREE.Color(0xdddddd);
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camera.position.z = 4;
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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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// set up colours and materials for gui callbacks
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const NODE_OPACITY = 1.0;
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const LINK_OPACITY = 1.0;
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const FACE_OPACITY = 0.2;
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scene.background = new THREE.Color(0x808080);
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const material = new THREE.MeshStandardMaterial({ color: 0x3293a9 });
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const node_ms = [
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new THREE.MeshStandardMaterial( { color: 0x90ebff } )
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];
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const node_ms = [ material ];
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for( const node_m of node_ms ) {
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node_m.roughness = 0.9;
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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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}
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const link_ms = [
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new THREE.MeshStandardMaterial( { color: 0x90ebff } )
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];
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for( const link_m of link_ms ) {
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link_m.metalness = 0.8;
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link_m.roughness = 0.1;
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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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}
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}
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const link_ms = [ material ];
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const face_ms = [
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@ -161,7 +55,6 @@ const STRUCTURES = {
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'600-cell': POLYTOPES.cell600()
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};
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let shape = false;
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function createShape(name) {
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@ -171,16 +64,21 @@ function createShape(name) {
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console.log(STRUCTURES[name]);
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shape = new FourDShape(node_ms, link_ms, face_ms, STRUCTURES[name]);
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scene.add(shape);
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}
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// initialise gui and read params from URL
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// callbacks to do things which are triggered by controls: reset the shape,
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// change the colors. Otherwise we just read stuff from gui.params.
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const gui = new FourDGUI(
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createShape,
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(c) => { material.color = new THREE.Color(c) },
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(c) => { scene.background = new THREE.Color(c) },
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);
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createShape(DEFAULT_SHAPE);
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camera.position.z = 4;
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material.color = new THREE.Color(gui.params.color);
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scene.background = new THREE.Color(gui.params.background);
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const dragK = 0.005;
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const damping = 0.99;
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@ -191,8 +89,6 @@ let theta0 = 0;
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let psi0 = 0;
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let dragx0 = 0;
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let dragy0 = 0;
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let dtheta = 0;
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let dpsi = 0;
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let dragging = false;
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@ -210,8 +106,8 @@ renderer.domElement.addEventListener("pointermove", (event) => {
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if( event.buttons === 1 ) {
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const theta1 = theta0 + (event.clientX - dragx0) * dragK;
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const psi1 = psi0 + (event.clientY - dragy0) * dragK;
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dtheta = theta1 - theta;
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dpsi = psi1 - psi;
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gui.params.dtheta = theta1 - theta;
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gui.params.dpsi = psi1 - psi;
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theta = theta1;
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psi = psi1;
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}
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@ -221,60 +117,28 @@ renderer.domElement.addEventListener("pointerup", (event) => {
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dragging = false;
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})
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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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shape: DEFAULT_SHAPE,
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hyperplane: 2,
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xRotate: 'YW',
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yRotate: 'XZ',
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damping: false
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};
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gui.add(gui_params, 'shape',
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[ '5-cell', '16-cell', 'tesseract', '24-cell', '120-cell', '600-cell' ]
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).onChange(createShape)
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gui.add(gui_params, 'hyperplane', 1.5, 4);
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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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gui.add(gui_params, 'damping');
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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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|
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|
||||
|
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const rotation = new THREE.Matrix4();
|
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createShape(gui.params.shape);
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function animate() {
|
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requestAnimationFrame( animate );
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if( ! dragging ) {
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theta += dtheta;
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psi += dpsi;
|
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if( gui_params.damping ) {
|
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dtheta = dtheta * damping;
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dpsi = dpsi * damping;
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theta += gui.params.dtheta;
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psi += gui.params.dpsi;
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if( gui.params.damping ) {
|
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gui.params.dtheta = gui.params.dtheta * damping;
|
||||
gui.params.dpsi = gui.params.dpsi * damping;
|
||||
}
|
||||
}
|
||||
|
||||
const rotations = [
|
||||
ROTFN[gui_params.xRotate](theta),
|
||||
ROTFN[gui_params.yRotate](psi)
|
||||
rotfn[gui.params.xRotate](theta),
|
||||
rotfn[gui.params.yRotate](psi)
|
||||
];
|
||||
shape.hyperplane = gui_params.hyperplane;
|
||||
shape.hyperplane = gui.params.hyperplane;
|
||||
shape.geom_scale = gui.params.thickness;
|
||||
shape.render3(rotations);
|
||||
|
||||
renderer.render( scene, camera );
|
||||
}
|
||||
animate();
|
||||
animate();
|
||||
|
|
|
|||
47
polytopes.js
47
polytopes.js
|
|
@ -17,7 +17,7 @@ function dist2(n1, n2) {
|
|||
return (n1.x - n2.x) ** 2 + (n1.y - n2.y) ** 2 + (n1.z - n2.z) ** 2 + (n1.w - n2.w) ** 2;
|
||||
}
|
||||
|
||||
function auto_detect_edges(nodes, neighbours) {
|
||||
function auto_detect_edges(nodes, neighbours, debug=false) {
|
||||
const seen = {};
|
||||
const nnodes = nodes.length;
|
||||
const links = [];
|
||||
|
|
@ -29,6 +29,10 @@ function auto_detect_edges(nodes, neighbours) {
|
|||
}
|
||||
d2.sort((a, b) => a.d2 - b.d2);
|
||||
const closest = d2.slice(1, neighbours + 1);
|
||||
if( debug ) {
|
||||
console.log(`closest = ${closest.length}`);
|
||||
console.log(closest);
|
||||
}
|
||||
for( const e of closest ) {
|
||||
const ids = [ n1.id, e.id ];
|
||||
ids.sort();
|
||||
|
|
@ -40,6 +44,9 @@ function auto_detect_edges(nodes, neighbours) {
|
|||
}
|
||||
}
|
||||
}
|
||||
if( debug ) {
|
||||
console.log(`Found ${links.length} edges`)
|
||||
}
|
||||
return links;
|
||||
}
|
||||
|
||||
|
|
@ -67,7 +74,11 @@ export const cell5 = () => {
|
|||
{ id:8, source:3, target: 4},
|
||||
{ id:9, source:3, target: 5},
|
||||
{ id:10, source:4, target: 5},
|
||||
]
|
||||
],
|
||||
geometry: {
|
||||
node_size: 0.02,
|
||||
link_size: 0.02
|
||||
}
|
||||
};
|
||||
};
|
||||
|
||||
|
|
@ -76,13 +87,15 @@ export const cell16 = () => {
|
|||
let nodes = PERMUTE.coordinates([1, 1, 1, 1], 0);
|
||||
nodes = nodes.filter((n) => n.x * n.y * n.z * n.w > 0);
|
||||
scale_and_index(nodes, 0.75);
|
||||
console.log('cell16 auto_detect_edges');
|
||||
console.log(nodes);
|
||||
const links = auto_detect_edges(nodes, 6);
|
||||
|
||||
return {
|
||||
nodes: nodes,
|
||||
links: links
|
||||
links: links,
|
||||
geometry: {
|
||||
node_size: 0.02,
|
||||
link_size: 0.02
|
||||
}
|
||||
};
|
||||
};
|
||||
|
||||
|
|
@ -94,7 +107,11 @@ export const tesseract = () => {
|
|||
|
||||
return {
|
||||
nodes: nodes,
|
||||
links: links
|
||||
links: links,
|
||||
geometry: {
|
||||
node_size: 0.02,
|
||||
link_size: 0.02
|
||||
}
|
||||
};
|
||||
}
|
||||
|
||||
|
|
@ -107,7 +124,11 @@ export const cell24 = () => {
|
|||
|
||||
return {
|
||||
nodes: nodes,
|
||||
links: links
|
||||
links: links,
|
||||
geometry: {
|
||||
node_size: 0.02,
|
||||
link_size: 0.02
|
||||
}
|
||||
};
|
||||
}
|
||||
|
||||
|
|
@ -218,6 +239,10 @@ export const cell120 = () => {
|
|||
return {
|
||||
nodes: nodes,
|
||||
links: links,
|
||||
geometry: {
|
||||
node_size: 0.02,
|
||||
link_size: 0.02
|
||||
},
|
||||
faces: faces
|
||||
}
|
||||
}
|
||||
|
|
@ -238,10 +263,14 @@ function make_600cell_vertices() {
|
|||
|
||||
export const cell600 = () => {
|
||||
const nodes = make_600cell_vertices();
|
||||
const links = auto_detect_edges(nodes, 20);
|
||||
const links = auto_detect_edges(nodes, 12);
|
||||
return {
|
||||
nodes: nodes,
|
||||
links: links
|
||||
links: links,
|
||||
geometry: {
|
||||
node_size: 0.02,
|
||||
link_size: 0.02
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
|
|
|||
|
|
@ -0,0 +1,85 @@
|
|||
// hacky stuff for 4d rotations
|
||||
|
||||
// see https://math.stackexchange.com/questions/1402362/can-rotations-in-4d-be-given-an-explicit-matrix-form#1402376
|
||||
|
||||
import * as THREE from 'three';
|
||||
|
||||
|
||||
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,
|
||||
);
|
||||
}
|
||||
|
||||
|
||||
export const rotfn = {
|
||||
XY: rotXY,
|
||||
XZ: rotXZ,
|
||||
XW: rotXW,
|
||||
YZ: rotYZ,
|
||||
YW: rotYW,
|
||||
ZW: rotZW,
|
||||
};
|
||||
|
||||
|
||||
|
||||
Loading…
Reference in New Issue