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Added inscriptions for 600-cell, improved the gui, you can now see 

all five 600-cells in the 120-cell for full mindbending
feature-inscriptions
Mike Lynch 2023-09-06 18:03:44 +10:00
parent 73c1cb0193
commit fc5acaeda8
3 changed files with 129 additions and 19 deletions
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33
gui.js
View File

@ -6,7 +6,10 @@ const DEFAULTS = {
thickness: 0.25,
nodesize: 1.25,
linkopacity: 0.5,
link2opacity: 0.5,
shape: '120-cell',
inscribed: false,
inscribe_all: false,
color: 0x3293a9,
background: 0xd4d4d4,
hyperplane: 2,
@ -19,14 +22,17 @@ const DEFAULTS = {
class FourDGUI {
constructor(createShape, setColor, setBackground, setLinkOpacity) {
constructor(changeShape, setColor, setBackground, setLinkOpacity) {
this.gui = new GUI();
this.parseLinkParams();
const guiObj = this;
this.params = {
shape: this.link['shape'],
inscribed: this.link['inscribed'],
inscribe_all: this.link['inscribe_all'],
thickness: this.link['thickness'],
linkopacity: this.link['linkopacity'],
link2opacity: this.link['linkopacity'],
nodesize: this.link['nodesize'],
color: this.link['color'],
background: this.link['background'],
@ -39,12 +45,19 @@ class FourDGUI {
};
this.gui.add(this.params, 'shape',
[ '5-cell', '16-cell', 'tesseract', '24-cell', '600-cell', '120-cell', '120-cell-inscribed' ]
).onChange(createShape)
[ '5-cell', '16-cell', 'tesseract',
'24-cell', '600-cell', '120-cell' ]
).onChange(changeShape)
this.gui.add(this.params, 'inscribed').onChange(changeShape);
this.gui.add(this.params, 'inscribe_all').onChange(changeShape);
this.gui.add(this.params, 'hyperplane', 1.5, 2.25);
this.gui.add(this.params, 'thickness', 0.1, 2);
this.gui.add(this.params, 'linkopacity', 0, 1).onChange(setLinkOpacity);
this.gui.add(this.params, 'linkopacity', 0, 1).onChange(
(v) => setLinkOpacity(v, true)
);
this.gui.add(this.params, 'link2opacity', 0, 1).onChange(
(v) => setLinkOpacity(v, false)
);
this.gui.add(this.params, 'nodesize', 0.1, 4);
this.gui.addColor(this.params, 'color').onChange(setColor);
this.gui.addColor(this.params, 'background').onChange(setBackground);
@ -79,6 +92,7 @@ class FourDGUI {
parseLinkParams() {
this.linkUrl = new URL(window.location.toLocaleString());
this.link = {};
const guiObj = this;
this.urlParams = this.linkUrl.searchParams;
for( const param of [ "shape", "rotation" ]) {
@ -89,10 +103,13 @@ class FourDGUI {
this.link[param] = DEFAULTS[param];
}
}
const guiObj = this;
for( const param of [ "inscribed", "inscribe_all"] ) {
this.link[param] = ( this.urlParams.get(param) === 'y' );
}
this.link['hyperplane'] = this.numParam('hyperplane', parseFloat);
this.link['thickness'] = this.numParam('thickness', parseFloat);
this.link['linkopacity'] = this.numParam('linkopacity', parseFloat);
this.link['link2opacity'] = this.numParam('link2opacity', parseFloat);
this.link['nodesize'] = this.numParam('nodesize', parseFloat);
this.link['color'] = this.numParam('color', (s) => guiObj.stringToHex(s));
this.link['background'] = this.numParam('background', (s) => guiObj.stringToHex(s));
@ -104,8 +121,12 @@ class FourDGUI {
copyUrl() {
const url = new URL(this.linkUrl.origin + this.linkUrl.pathname);
url.searchParams.append("shape", this.params.shape);
url.searchParams.append("inscribed", this.params.inscribed ? 'y': 'n');
url.searchParams.append("inscribe_all", this.params.inscribe_all ? 'y': 'n');
url.searchParams.append("thickness", this.params.thickness.toString());
url.searchParams.append("nodesize", this.params.nodesize.toString());
url.searchParams.append("linkopacity", this.params.thickness.toString());
url.searchParams.append("link2opacity", this.params.nodesize.toString());
url.searchParams.append("color", this.hexToString(this.params.color));
url.searchParams.append("background", this.hexToString(this.params.background));
url.searchParams.append("hyperplane", this.params.hyperplane.toString());

53
main.js
View File

@ -65,17 +65,39 @@ const STRUCTURES = {
'tesseract': POLYTOPES.tesseract(),
'24-cell': POLYTOPES.cell24(),
'120-cell': POLYTOPES.cell120(),
'120-cell-inscribed': POLYTOPES.cell120_inscribed(),
'600-cell': POLYTOPES.cell600()
'120-cell-all-inscribed': POLYTOPES.cell120_all_inscribed(),
'600-cell': POLYTOPES.cell600(),
'600-cell-all-inscribed': POLYTOPES.cell600_all_inscribed(),
};
const INSCRIBED = {
'120-cell': POLYTOPES.cell120_inscribed(),
'600-cell': POLYTOPES.cell600_inscribed(),
};
const ALL_INSCRIBED = {
'120-cell': POLYTOPES.cell120_all_inscribed(),
'600-cell': POLYTOPES.cell600_all_inscribed(),
}
let shape = false;
function createShape(name) {
function createShape(name, inscribed, all) {
if( shape ) {
scene.remove(shape);
}
shape = new FourDShape(node_ms, link_ms, face_ms, STRUCTURES[name]);
let structure = STRUCTURES[name];
if( inscribed ) {
if( name in INSCRIBED ) {
if( all ) {
structure = ALL_INSCRIBED[name];
} else {
structure = INSCRIBED[name];
}
}
}
shape = new FourDShape(node_ms, link_ms, face_ms, structure);
scene.add(shape);
}
@ -97,13 +119,24 @@ function setBackground(c) {
scene.background = new THREE.Color(c)
}
function setLinkOpacity(o) {
for( const lm of link_ms ) {
lm.opacity = o;
}
function setLinkOpacity(o, primary) {
if( primary ) {
link_ms[0].opacity = o;
} else {
for( const lm of link_ms.slice(1) ) {
lm.opacity = o;
}
}
}
const gui = new FourDGUI(createShape, setColors, setBackground, setLinkOpacity);
let gui; //
function changeShape() {
console.log("change shape!")
createShape(gui.params.shape, gui.params.inscribed, gui.params.inscribe_all);
}
gui = new FourDGUI(changeShape, setColors, setBackground, setLinkOpacity);
// these are here to pick up colour settings from the URL params
setColors(gui.params.color);
@ -146,7 +179,7 @@ renderer.domElement.addEventListener("pointerup", (event) => {
dragging = false;
})
createShape(gui.params.shape);
createShape(gui.params.shape, gui.params.inscribed, gui.params.inscribe_all);
function animate() {
requestAnimationFrame( animate );

62
polytopes.js
View File

@ -151,6 +151,11 @@ const CELL24_INDEXING = {
};
function node_by_id(nodes, nid) {
const ns = nodes.filter((n) => n.id === nid);
return ns[0];
}
export const cell24 = () => {
const nodes = PERMUTE.coordinates([0, 0, 1, 1], 0);
@ -163,6 +168,15 @@ export const cell24 = () => {
index_nodes(nodes);
const links = auto_detect_edges(nodes, 8);
links.map((l) => {
const ls = [ l.source, l.target ].map((nid) => node_by_id(nodes, nid).label);
for ( const c of [1, 2, 3] ) {
if( ! ls.includes(c) ) {
l.label = c
}
}
});
return {
nodes: nodes,
links: links,
@ -357,7 +371,7 @@ export const cell120 = () => {
}
export const cell120_inscribed = () => {
const cell120_some_inscribed = (ps) => {
const nodes = make_120cell_vertices();
const links = auto_detect_edges(nodes, 4);
@ -366,7 +380,7 @@ export const cell120_inscribed = () => {
const all_links = links;
all_links.map((l) => l.label = 0);
for( const p of [ 5 ]) {
for( const p of ps) {
const nodes600 = nodes.filter((n) => n.label === p);
const links600 = auto_detect_edges(nodes600, 12);
links600.map((l) => l.label = p);
@ -383,6 +397,9 @@ export const cell120_inscribed = () => {
}
}
export const cell120_inscribed = () => cell120_some_inscribed([5]);
export const cell120_all_inscribed = () => cell120_some_inscribed([1,2,3,4,5]);
// Schoute's partition via https://arxiv.org/abs/1010.4353
@ -518,7 +535,7 @@ function make_600cell_vertices() {
].flat();
for( const n of nodes ) {
n.label = label_vertex(n, coords, partition600) - 1;
n.label = label_vertex(n, coords, partition600);
}
for( const n of nodes ) {
@ -570,3 +587,42 @@ export const cell600 = () => {
}
const cell600_some_inscribed = (ps) => {
const nodes = make_600cell_vertices();
const links = auto_detect_edges(nodes, 12);
const all_links = links;
all_links.map((l) => l.label = 0);
for( const p of ps) {
const nodes24 = nodes.filter((n) => n.label === p);
const links24 = auto_detect_edges(nodes24, 8);
links24.map((l) => l.label = p);
all_links.push(...links24);
}
return {
nodes: nodes,
links: all_links,
geometry: {
node_size: 0.02,
link_size: 0.02
},
}
return {
nodes: nodes,
links: links,
geometry: {
node_size: 0.02,
link_size: 0.02
}
}
}
export const cell600_inscribed = () => cell600_some_inscribed([5]);
export const cell600_all_inscribed = () => cell600_some_inscribed([1,2,3,4,5]);