Standardise polytopes, tested more labelling, inverted colours
Mike Lynch
parent
4cc2b44e00
commit
55573bac0b
42
main.js
42
main.js
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@ -4,8 +4,6 @@ import * as POLYTOPES from './polytopes.js';
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import { FourDShape } from './fourDShape.js';
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const NODE_OPACITY = 1.0;
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const LINK_OPACITY = 0.7;
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@ -106,16 +104,28 @@ 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 = POLYTOPES.cell24();
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const NODE_OPACITY = 1.0;
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const LINK_OPACITY = 0.7;
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// nodes. links
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// 0 R 0 (0-1) Y
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// 1 G 1 (1-2) C
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// 2 B 2 (0-2) M
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// duals
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// 0 C 0 (0-1) G
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// 1 Y 1 (1-2) R
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// 2 M 2 (0-2) B
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const node_ms = [
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new THREE.MeshStandardMaterial( { color: 0x990000 } ),
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new THREE.MeshStandardMaterial( { color: 0x009900 } ),
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new THREE.MeshStandardMaterial( { color: 0x000099 } ),
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new THREE.MeshStandardMaterial( { color: 0x20dddd } ),
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new THREE.MeshStandardMaterial( { color: 0xdddd20 } ),
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new THREE.MeshStandardMaterial( { color: 0xdd20dd } ),
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];
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for( const node_m of node_ms ) {
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node_m.roughness = 0.2;
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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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@ -124,21 +134,23 @@ for( const node_m of node_ms ) {
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}
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const link_ms = [
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new THREE.MeshStandardMaterial( { color: 0x999900 } ),
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new THREE.MeshStandardMaterial( { color: 0x009999 } ),
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new THREE.MeshStandardMaterial( { color: 0x990099 } ),
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new THREE.MeshStandardMaterial( { color: 0x20dd20 } ),
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new THREE.MeshStandardMaterial( { color: 0xdd2020 } ),
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new THREE.MeshStandardMaterial( { color: 0x2020dd } ),
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];
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for( const link_m of link_ms ) {
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link_m.metalness = 0.4;
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link_m.roughness = 0.0;
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link_m.metalness = 0.8;
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link_m.roughness = 0.1;
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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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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 struct = POLYTOPES.cell24();
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const shape = new FourDShape(node_ms, link_ms, struct);
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236
polytopes.js
236
polytopes.js
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@ -1,129 +1,131 @@
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const r5 = Math.sqrt(5);
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// if nodes or links have no label, use the first material in the
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// list
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export const CELL5 = {
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nodes: [
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{id:1, x: 1, y: 1, z: 1, w: -1 / r5 },
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{id:2, x: 1, y: -1, z: -1, w: -1 / r5 },
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{id:3, x: -1, y: 1, z: -1, w: -1 / r5 },
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{id:4, x: -1, y: -1, z: 1, w: -1 / r5 },
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{id:5, x: 0, y: 0, z: 0, w: 4 / r5 },
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],
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links: [
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{ id:1, source:1, target: 2},
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{ id:2, source:1, target: 3},
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{ id:3, source:1, target: 4},
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{ id:4, source:1, target: 5},
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{ id:5, source:2, target: 3},
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{ id:6, source:2, target: 4},
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{ id:7, source:2, target: 5},
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{ id:8, source:3, target: 4},
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{ id:9, source:3, target: 5},
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{ id:10, source:4, target: 5},
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export const cell5 = () => {
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const r5 = Math.sqrt(5);
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return {
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nodes: [
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{id:1, x: 1, y: 1, z: 1, w: -1 / r5 },
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{id:2, x: 1, y: -1, z: -1, w: -1 / r5 },
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{id:3, x: -1, y: 1, z: -1, w: -1 / r5 },
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{id:4, x: -1, y: -1, z: 1, w: -1 / r5 },
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{id:5, x: 0, y: 0, z: 0, w: 4 / r5 },
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],
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links: [
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{ id:1, source:1, target: 2},
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{ id:2, source:1, target: 3},
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{ id:3, source:1, target: 4},
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{ id:4, source:1, target: 5},
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{ id:5, source:2, target: 3},
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{ id:6, source:2, target: 4},
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{ id:7, source:2, target: 5},
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{ id:8, source:3, target: 4},
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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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};
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export const CELL16 = {
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nodes: [
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{ id: 1, x: 0, y: -1, z: 0, w: 0 },
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{ id: 2, x: 0, y: 0, z: -1, w: 0 },
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{ id: 3, x: -1, y: 0, z: 0, w: 0 },
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{ id: 4, x: 0, y: 0, z: 1, w: 0 },
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{ id: 5, x: 1, y: 0, z: 0, w: 0 },
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{ id: 6, x: 0, y: 1, z: 0, w: 0 },
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{ id: 7, x: 0, y: 0, z: 0, w: -1 },
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{ id: 8, x: 0, y: 0, z: 0, w: 1 },
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],
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links: [
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{ id: 1, source: 1, target: 2 },
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{ id: 2, source: 1, target: 3 },
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{ id: 3, source: 1, target: 4 },
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{ id: 4, source: 1, target: 5 },
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{ id: 5, source: 2, target: 3 },
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{ id: 6, source: 3, target: 4 },
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{ id: 7, source: 4, target: 5 },
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{ id: 8, source: 5, target: 2 },
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{ id: 9, source: 2, target: 6 },
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{ id: 10, source: 3, target: 6 },
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{ id: 11, source: 4, target: 6 },
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{ id: 12, source: 5, target: 6 },
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{ id: 13, source: 1, target: 7 },
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{ id: 14, source: 1, target: 8 },
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{ id: 15, source: 2, target: 7 },
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{ id: 16, source: 2, target: 8 },
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{ id: 17, source: 3, target: 7 },
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{ id: 18, source: 3, target: 8 },
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{ id: 19, source: 4, target: 7 },
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{ id: 20, source: 4, target: 8 },
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{ id: 21, source: 5, target: 7 },
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{ id: 22, source: 5, target: 8 },
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{ id: 23, source: 6, target: 7 },
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{ id: 25, source: 6, target: 8 },
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]
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};
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export const TESSERACT = {
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nodes: [
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{ id: 1, x: -1, y: -1, z: -1, w: -1 },
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{ id: 2, x: 1, y: -1, z: -1, w: -1 },
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{ id: 3, x: -1, y: 1, z: -1, w: -1 },
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{ id: 4, x: 1, y: 1, z: -1, w: -1 },
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{ id: 5, x: -1, y: -1, z: 1, w: -1 },
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{ id: 6, x: 1, y: -1, z: 1, w: -1 },
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{ id: 7, x: -1, y: 1, z: 1, w: -1 },
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{ id: 8, x: 1, y: 1, z: 1, w: -1 },
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{ id: 9, x: -1, y: -1, z: -1, w: 1 },
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{ id: 10, x: 1, y: -1, z: -1, w: 1 },
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{ id: 11, x: -1, y: 1, z: -1, w: 1 },
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{ id: 12, x: 1, y: 1, z: -1, w: 1 },
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{ id: 13, x: -1, y: -1, z: 1, w: 1 },
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{ id: 14, x: 1, y: -1, z: 1, w: 1 },
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{ id: 15, x: -1, y: 1, z: 1, w: 1 },
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{ id: 16, x: 1, y: 1, z: 1, w: 1 },
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],
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links: [
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{ id: 1, source: 1, target: 2 },
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{ id: 2, source: 2, target: 4 },
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{ id: 3, source: 4, target: 3 },
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{ id: 4, source: 3, target: 1 },
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{ id: 5, source: 5, target: 6 },
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{ id: 6, source: 6, target: 8 },
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{ id: 7, source: 8, target: 7 },
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{ id: 8, source: 7, target: 5 },
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{ id: 9, source: 1, target: 5 },
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{ id: 10, source: 2, target: 6 },
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{ id: 11, source: 3, target: 7 },
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{ id: 12, source: 4, target: 8 },
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{ id: 13, source: 9, target: 10 },
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{ id: 14, source: 10, target: 12 },
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{ id: 15, source: 12, target: 11 },
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{ id: 16, source: 11, target: 9 },
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{ id: 17, source: 13, target: 14 },
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{ id: 18, source: 14, target: 16 },
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{ id: 19, source: 16, target: 15 },
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{ id: 20, source: 15, target: 13 },
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{ id: 21, source: 9, target: 13 },
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{ id: 22, source: 10, target: 14 },
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{ id: 23, source: 11, target: 15 },
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{ id: 24, source: 12, target: 16 },
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{ id: 25, source: 1, target: 9 },
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{ id: 26, source: 2, target: 10 },
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{ id: 27, source: 3, target: 11 },
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{ id: 28, source: 4, target: 12 },
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{ id: 29, source: 5, target: 13 },
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{ id: 30, source: 6, target: 14 },
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{ id: 31, source: 7, target: 15 },
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{ id: 32, source: 8, target: 16 },
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export const cell16 = () => {
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return {
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nodes: [
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{ id: 1, x: 0, y: -1, z: 0, w: 0 },
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{ id: 2, x: 0, y: 0, z: -1, w: 0 },
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{ id: 3, x: -1, y: 0, z: 0, w: 0 },
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{ id: 4, x: 0, y: 0, z: 1, w: 0 },
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{ id: 5, x: 1, y: 0, z: 0, w: 0 },
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{ id: 6, x: 0, y: 1, z: 0, w: 0 },
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{ id: 7, x: 0, y: 0, z: 0, w: -1 },
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{ id: 8, x: 0, y: 0, z: 0, w: 1 },
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],
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links: [
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{ id: 1, source: 1, target: 2 },
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{ id: 2, source: 1, target: 3 },
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{ id: 3, source: 1, target: 4 },
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{ id: 4, source: 1, target: 5 },
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{ id: 5, source: 2, target: 3 },
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{ id: 6, source: 3, target: 4 },
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{ id: 7, source: 4, target: 5 },
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{ id: 8, source: 5, target: 2 },
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{ id: 9, source: 2, target: 6 },
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{ id: 10, source: 3, target: 6 },
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{ id: 11, source: 4, target: 6 },
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{ id: 12, source: 5, target: 6 },
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{ id: 13, source: 1, target: 7 },
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{ id: 14, source: 1, target: 8 },
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{ id: 15, source: 2, target: 7 },
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{ id: 16, source: 2, target: 8 },
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{ id: 17, source: 3, target: 7 },
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{ id: 18, source: 3, target: 8 },
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{ id: 19, source: 4, target: 7 },
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{ id: 20, source: 4, target: 8 },
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{ id: 21, source: 5, target: 7 },
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{ id: 22, source: 5, target: 8 },
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{ id: 23, source: 6, target: 7 },
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{ id: 24, source: 6, target: 8 },
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]
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}
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};
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]
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export const tesseract = () => {
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return {
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nodes: [
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{ id: 1, label: 0, x: -0.5, y: -0.5, z: -0.5, w: -0.5 },
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{ id: 2, label: 1, x: 0.5, y: -0.5, z: -0.5, w: -0.5 },
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{ id: 3, label: 1, x: -0.5, y: 0.5, z: -0.5, w: -0.5 },
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{ id: 4, label: 0, x: 0.5, y: 0.5, z: -0.5, w: -0.5 },
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{ id: 5, label: 1, x: -0.5, y: -0.5, z: 0.5, w: -0.5 },
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{ id: 6, label: 0, x: 0.5, y: -0.5, z: 0.5, w: -0.5 },
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{ id: 7, label: 0, x: -0.5, y: 0.5, z: 0.5, w: -0.5 },
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{ id: 8, label: 1, x: 0.5, y: 0.5, z: 0.5, w: -0.5 },
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{ id: 9, label: 1, x: -0.5, y: -0.5, z: -0.5, w: 0.5 },
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{ id: 10, label: 0, x: 0.5, y: -0.5, z: -0.5, w: 0.5 },
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{ id: 11, label: 0, x: -0.5, y: 0.5, z: -0.5, w: 0.5 },
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{ id: 12, label: 1, x: 0.5, y: 0.5, z: -0.5, w: 0.5 },
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{ id: 13, label: 0, x: -0.5, y: -0.5, z: 0.5, w: 0.5 },
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{ id: 14, label: 1, x: 0.5, y: -0.5, z: 0.5, w: 0.5 },
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{ id: 15, label: 1, x: -0.5, y: 0.5, z: 0.5, w: 0.5 },
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{ id: 16, label: 0, x: 0.5, y: 0.5, z: 0.5, w: 0.5 },
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],
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links: [
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{ id: 1, source: 1, target: 2 },
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{ id: 2, source: 2, target: 4 },
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{ id: 3, source: 4, target: 3 },
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{ id: 4, source: 3, target: 1 },
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{ id: 5, source: 5, target: 6 },
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{ id: 6, source: 6, target: 8 },
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{ id: 7, source: 8, target: 7 },
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{ id: 8, source: 7, target: 5 },
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{ id: 9, source: 1, target: 5 },
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{ id: 10, source: 2, target: 6 },
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{ id: 11, source: 3, target: 7 },
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{ id: 12, source: 4, target: 8 },
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{ id: 13, source: 9, target: 10 },
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{ id: 14, source: 10, target: 12 },
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{ id: 15, source: 12, target: 11 },
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{ id: 16, source: 11, target: 9 },
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{ id: 17, source: 13, target: 14 },
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{ id: 18, source: 14, target: 16 },
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{ id: 19, source: 16, target: 15 },
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{ id: 20, source: 15, target: 13 },
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{ id: 21, source: 9, target: 13 },
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{ id: 22, source: 10, target: 14 },
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{ id: 23, source: 11, target: 15 },
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{ id: 24, source: 12, target: 16 },
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{ id: 25, source: 1, target: 9 },
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{ id: 26, source: 2, target: 10 },
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{ id: 27, source: 3, target: 11 },
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{ id: 28, source: 4, target: 12 },
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{ id: 29, source: 5, target: 13 },
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{ id: 30, source: 6, target: 14 },
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{ id: 31, source: 7, target: 15 },
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{ id: 32, source: 8, target: 16 },
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]
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}
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};
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// this was done manually and I'm not sure if it's right
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