Link foreshortening works, but updating the geometry of every edge
is making large objects like the 120-cell noticeably stutterybroken-cursed-links
Mike Lynch
parent
fb9c78d82f
commit
6f4d4cc633
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@ -2,7 +2,7 @@ import * as THREE from 'three';
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const HYPERPLANE = 2.0;
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const NODE_FORESHORTENING = 0.4;
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const W_FORESHORTENING = 0.4;
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class FourDShape extends THREE.Group {
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@ -15,9 +15,10 @@ 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_scale = structure.geometry.node_size;
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this.link_scale = structure.geometry.link_size;
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this.node_scale = 1;
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this.link_scale = 1;
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this.hyperplane = HYPERPLANE;
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this.foreshortening = W_FORESHORTENING;
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this.initShapes();
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}
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@ -69,7 +70,11 @@ class FourDShape extends THREE.Group {
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const length = n1.v3.distanceTo(n2.v3);
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const centre = new THREE.Vector3();
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centre.lerpVectors(n1.v3, n2.v3, 0.5);
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link.object.scale.copy(new THREE.Vector3(this.link_scale * s2, this.link_scale * s1, length));
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// is this really the only way to do this?
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const geometry = new THREE.CylinderGeometry(this.link_scale * s2, this.link_scale * s1, 1);
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link.object.children[0].geometry.dispose();
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link.object.children[0].geometry = geometry;
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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.v3);
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link.object.children[0].rotation.x = Math.PI / 2.0;
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@ -157,10 +162,10 @@ class FourDShape extends THREE.Group {
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const v4 = this.fourDrotate(n.x, n.y, n.z, n.w, rotations);
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const k = this.fourDscale(v4.w);
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const v3 = new THREE.Vector3(v4.x * k, v4.y * k, v4.z * k);
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const s4 = k * this.node_scale * NODE_FORESHORTENING;
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const s4 = k * this.node_scale * this.foreshortening;
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const s3 = new THREE.Vector3(s4, s4, s4);
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this.nodes3[n.id].v3 = v3;
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this.nodes3[n.id].scale = k;
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this.nodes3[n.id].scale = k * this.foreshortening;
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this.nodes3[n.id].object.position.copy(v3);
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this.nodes3[n.id].object.scale.copy(s3);
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this.nodes3[n.id].object.visible = ( !nodes_show || n.label in nodes_show );
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4
gui.js
4
gui.js
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@ -67,14 +67,14 @@ class FourDGUI {
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});
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this.gui.add(this.params, 'hyperplane', 0.5, 1 / 0.8);
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this.gui.add(this.params, 'zoom', 0.1, 2.0);
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this.gui.add(this.params, 'thickness', 0, 1);
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this.gui.add(this.params, 'thickness', 0, 0.1);
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this.gui.add(this.params, 'linkopacity', 0, 1).onChange(
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(v) => setLinkOpacity(v, true)
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);
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this.gui.add(this.params, 'link2opacity', 0, 1).onChange(
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(v) => setLinkOpacity(v, false)
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);
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this.gui.add(this.params, 'nodesize', 0, 1);
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this.gui.add(this.params, 'nodesize', 0, 0.1);
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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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56
polytopes.js
56
polytopes.js
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@ -80,10 +80,6 @@ export const cell5 = () => {
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{ id:9, source:3, target: 5},
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{ id:10, source:4, target: 5},
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],
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geometry: {
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node_size: 0.02,
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link_size: 0.02
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},
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options: [ { name: '--' }],
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description: `Five tetrahedra joined at ten faces with three
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tetrahedra around each edge. The 5-cell is the simplest regular
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@ -115,10 +111,6 @@ export const cell16 = () => {
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name: '16-cell',
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nodes: nodes,
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links: links,
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geometry: {
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node_size: 0.02,
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link_size: 0.02
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},
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options: [ { name: '--' }],
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description: `Sixteen tetrahedra joined at 32 faces with four
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tetrahedra around each edge. The 16-cell is the four-dimensional
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@ -157,10 +149,6 @@ export const tesseract = () => {
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name: 'Tesseract',
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nodes: nodes,
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links: links,
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geometry: {
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node_size: 0.02,
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link_size: 0.02
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},
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options: [
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{ name: 'none', links: [ 0 ] },
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{ name: 'one 16-cell', links: [ 0, 1 ] },
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@ -221,10 +209,6 @@ export const cell24 = () => {
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name: '24-cell',
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nodes: nodes,
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links: links,
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geometry: {
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node_size: 0.02,
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link_size: 0.02
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},
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base: {},
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options: [
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{ name: 'none', links: [ 0 ] },
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@ -412,10 +396,6 @@ export const cell120_layered = (max) => {
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name: '120-cell layered',
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nodes: nodes,
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links: links,
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geometry: {
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node_size: 0.02,
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link_size: 0.02
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},
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nolink2opacity: true,
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options: options,
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description: `This version of the 120-cell lets you explore its
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@ -447,10 +427,6 @@ export const cell120_inscribed = () => {
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name: '120-cell',
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nodes: nodes,
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links: links,
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geometry: {
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node_size: 0.02,
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link_size: 0.02
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},
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options: [
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{ name: "none", links: [ 0 ]},
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{ name: "one inscribed 600-cell", links: [ 0, 1 ] },
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@ -582,10 +558,6 @@ export const cell600 = () => {
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name: '600-cell',
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nodes: nodes,
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links: links,
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geometry: {
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node_size: 0.02,
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link_size: 0.02
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},
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options: [
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{ name: "none", links: [ 0 ]},
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{ name: "one 24-cell", links: [ 0, 1 ] },
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@ -635,10 +607,6 @@ export const cell600_layered = () => {
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name: '600-cell layered',
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nodes: nodes,
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links: links,
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geometry: {
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node_size: 0.02,
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link_size: 0.02
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},
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nolink2opacity: true,
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options: options,
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description: `This version of the 600-cell lets you explore its
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@ -666,10 +634,6 @@ export const snub24cell = () => {
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name: 'Snub 24-cell',
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nodes: nodes,
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links: links,
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geometry: {
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node_size: 0.02,
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link_size: 0.02
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},
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options: [ { name: "--" } ],
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description: `The snub 24-cell is a semiregular polytope which
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connects the 24-cell with the 600-cell. It consists of 24 icosahedra
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@ -736,10 +700,6 @@ export const dodecahedron = () => {
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name: 'Dodecahedron',
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nodes: nodes,
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links: links,
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geometry: {
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node_size: 0.02,
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link_size: 0.02
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},
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options: [
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{ name: "none", links: [ 0 ]},
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{ name: "one tetrahedron", links: [ 0, 1 ] },
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@ -774,10 +734,6 @@ export const tetrahedron = () => {
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{ id:5, source:2, target: 4},
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{ id:6, source:3, target: 4},
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],
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geometry: {
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node_size: 0.02,
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link_size: 0.02
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},
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options: [ { name: '--' }],
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description: `The simplest three-dimensional polytope, consisting of four triangles joined at six edges. The 5-cell is its four-dimensional analogue.`,
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};
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@ -811,10 +767,6 @@ export const octahedron = () => {
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name: 'Octahedron',
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nodes: nodes,
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links: links,
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geometry: {
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node_size: 0.02,
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link_size: 0.02
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},
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options: [ { name: '--' }],
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description: `The three-dimensional cross-polytope, the 16-cell is its four-dimensional analogue.`,
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};
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@ -839,10 +791,6 @@ export const cube = () => {
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name: 'Cube',
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nodes: nodes,
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links: links,
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geometry: {
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node_size: 0.02,
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link_size: 0.02
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},
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options: [ { name: '--' }],
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description: `The three-dimensional measure polytope, the tesseract is its four-dimensional analogue.`,
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};
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@ -885,10 +833,6 @@ export const icosahedron = () => {
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name: 'Icosahedron',
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nodes: nodes,
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links: links,
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geometry: {
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node_size: 0.02,
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link_size: 0.02
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},
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options: [
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{ name: "--"},
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],
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