Changed the 16-cell model to cell-first and adjusted the scale so that all
of the models are about the same sizefeature-big-polytopes
Mike Lynch
parent
b7355aa48c
commit
dd7939943a
12
main.js
12
main.js
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@ -7,7 +7,7 @@ import { FourDShape } from './fourDShape.js';
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import { GUI } from 'lil-gui';
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const DEFAULT_SHAPE = '24-cell';
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// hacky stuff for 4d rotations
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@ -157,6 +157,8 @@ const STRUCTURES = {
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'24-cell': POLYTOPES.cell24(),
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};
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console.log(STRUCTURES);
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let shape = false;
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function createShape(name) {
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@ -172,12 +174,12 @@ function createShape(name) {
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createShape('24-cell');
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createShape(DEFAULT_SHAPE);
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camera.position.z = 4;
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const dragK = 0.01;
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const dragK = 0.005;
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let theta = 0;
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let psi = 0;
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@ -208,7 +210,7 @@ renderer.domElement.addEventListener("mousemove", (event) => {
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const gui = new GUI();
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const gui_params = {
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shape: '24-cell',
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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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@ -218,7 +220,7 @@ gui.add(gui_params, 'shape',
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[ '5-cell', '16-cell', 'tesseract', '24-cell' ]
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).onChange(createShape)
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gui.add(gui_params, 'hyperplane', 1, 4);
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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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112
polytopes.js
112
polytopes.js
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@ -2,13 +2,14 @@
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export const cell5 = () => {
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const r5 = Math.sqrt(5);
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const r2 = Math.sqrt(2) / 2;
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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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{id:1, x: r2, y: r2, z: r2, w: -r2 / r5 },
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{id:2, x: r2, y: -r2, z: -r2, w: -r2 / r5 },
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{id:3, x: -r2, y: r2, z: -r2, w: -r2 / r5 },
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{id:4, x: -r2, y: -r2, z: r2, w: -r2 / r5 },
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{id:5, x: 0, y: 0, z: 0, w: 4 * r2 / r5 },
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],
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links: [
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{ id:1, source:1, target: 2},
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@ -27,66 +28,79 @@ export const cell5 = () => {
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export const cell16 = () => {
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const s2 = Math.sqrt(2) * 0.5;
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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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{ id: 1, label: 0, x: -s2, y: -s2, z: -s2, w: -s2 },
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{ id: 2, label: 0, x: s2, y: s2, z: -s2, w: -s2 },
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{ id: 3, label: 0, x: s2, y: -s2, z: s2, w: -s2 },
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{ id: 4, label: 0, x: -s2, y: s2, z: s2, w: -s2 },
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{ id: 5, label: 0, x: s2, y: -s2, z: -s2, w: s2 },
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{ id: 6, label: 0, x: -s2, y: s2, z: -s2, w: s2 },
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{ id: 7, label: 0, x: -s2, y: -s2, z: s2, w: s2 },
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{ id: 8, label: 0, x: s2, y: s2, z: s2, w: s2 },
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],
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// opposite pairs: 1 - 8
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// 2 - 7
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// 3 - 6
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// 4 - 5 .. these don't have edges
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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: 4, source: 2, target: 3 },
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{ id: 5, source: 2, target: 4 },
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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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{ id: 7, source: 5, target: 6 },
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{ id: 8, source: 5, target: 7 },
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{ id: 9, source: 5, target: 8 },
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{ id: 10, source: 6, target: 7 },
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{ id: 11, source: 6, target: 8 },
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{ id: 12, source: 7, target: 8 },
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{ id: 13, source: 1, target: 5 },
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{ id: 14, source: 1, target: 6 },
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{ id: 15, source: 1, target: 7 },
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{ id: 16, source: 2, target: 5 },
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{ id: 17, source: 2, target: 6 },
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{ id: 18, source: 2, target: 8 },
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{ id: 19, source: 3, target: 5 },
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{ id: 20, source: 3, target: 7 },
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{ id: 21, source: 3, target: 8 },
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{ id: 22, source: 4, target: 6 },
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{ id: 23, source: 4, target: 7 },
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{ id: 24, source: 4, target: 8 },
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]
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}
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};
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export const tesseract = () => {
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const s2 = Math.sqrt(2) * 0.5;
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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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{ id: 1, label: 0, x: -s2, y: -s2, z: -s2, w: -s2 },
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{ id: 2, label: 1, x: s2, y: -s2, z: -s2, w: -s2 },
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{ id: 3, label: 1, x: -s2, y: s2, z: -s2, w: -s2 },
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{ id: 4, label: 0, x: s2, y: s2, z: -s2, w: -s2 },
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{ id: 5, label: 1, x: -s2, y: -s2, z: s2, w: -s2 },
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{ id: 6, label: 0, x: s2, y: -s2, z: s2, w: -s2 },
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{ id: 7, label: 0, x: -s2, y: s2, z: s2, w: -s2 },
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{ id: 8, label: 1, x: s2, y: s2, z: s2, w: -s2 },
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{ id: 9, label: 1, x: -s2, y: -s2, z: -s2, w: s2 },
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{ id: 10, label: 0, x: s2, y: -s2, z: -s2, w: s2 },
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{ id: 11, label: 0, x: -s2, y: s2, z: -s2, w: s2 },
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{ id: 12, label: 1, x: s2, y: s2, z: -s2, w: s2 },
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{ id: 13, label: 0, x: -s2, y: -s2, z: s2, w: s2 },
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{ id: 14, label: 1, x: s2, y: -s2, z: s2, w: s2 },
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{ id: 15, label: 1, x: -s2, y: s2, z: s2, w: s2 },
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{ id: 16, label: 0, x: s2, y: s2, z: s2, w: s2 },
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],
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links: [
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{ id: 1, source: 1, target: 2 },
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