Added a new view of the 120-cell's 5-cells with more colours

CHANGELOG.md

@@ -1,6 +1,11 @@
 CHANGELOG
 =========
 
+## v1.2 - 18/1/2026
+
+Added a second visualisation of the 120-cell's 5-cells without the 120-cell links
+and with more colours added so you can get a sense of the individual 5-cells.
+
 ## v1.1 - 1/1/2026
 
 The 120-cell now includes a visualisation of its inscribed 5-cells, which honestly

colours.js

@@ -9,12 +9,11 @@ export const get_colours = (basis) => {
 	const luminance = hslb['color'][2];
 	const scheme = new ColorScheme;
 	scheme.from_hue(hue).scheme("tetrade").distance(0.75);
-	const colours = scheme.colors().slice(1, 9);
+	const scolours = scheme.colors();
-	colours.reverse();
+	const colours = [ ...scolours,  ...scolours, ...scolours, ...scolours, ...scolours,  ...scolours, ...scolours, ...scolours ]; 
 	const hsl = colours.map((c) => Color("#" + c).hsl());
 	const resaturated = hsl.map((hslc) => hslc.saturationl(saturation).rgbNumber()); 
 	resaturated.unshift(basis);
-	console.log(resaturated);
 	return resaturated;
 }
 

index.html

@@ -36,7 +36,7 @@
 		<script type="module" src="/main.js"></script>
 		<div id="description"></div>
 		<div id="release_notes"></div>
-		<div id="info"><a href="#" id="show_notes">release 1.1</a> |
+		<div id="info"><a href="#" id="show_notes">release 1.2</a> |
 
     		by <a target="_blank" href="https://mikelynch.org/">Mike Lynch</a> |
 			<a target="_blank" href="https://git.tilde.town/bombinans/fourdjs">source</a></div>

main.js

@@ -1,6 +1,10 @@
 import * as THREE from 'three';
 
 const RELEASE_NOTES = `
+<p><b>v1.2 - 18/1/2026</b></p>
+
+<p>Added a second visualisation of the 120-cell's 5-cells without the 120-cell links and with more colours added so you can get a sense of the individual 5-cells.</p>
+
 <p><b>v1.1 - 1/1/2026</b></p>
 
 <p>The 120-cell now includes a visualisation of its inscribed 5-cells, which honestly

polytopes.js

@@ -475,7 +475,7 @@ export const cell120_inscribed = () => {
 
 export const cell120_inscribed_cell5 = () => {
 	const nodes  = make_120cell_vertices();
-	const links = auto_detect_edges(nodes, 4);
+	const links = [];
 
   	for( const cstr in CELLINDEX.INDEX120 ) {
 		label_nodes(nodes, CELLINDEX.INDEX120[cstr], Number(cstr));
@@ -483,17 +483,25 @@ export const cell120_inscribed_cell5 = () => {
 
 	links.map((l) => l.label = 0);
 
+        const CELL5S = CELLINDEX.CELL120_CELL5.cell5s;
 
+        for( const c5 in CELL5S ) {
+            const nodes5 = nodes.filter((n) => CELL5S[c5].includes(n.id));
+            const links5 = auto_detect_edges(nodes5, 5);
+            links5.map((l) => l.label = Number(c5));
+            links.push(...links5);
+        }
 
+        const show_links = Array.from({ length: 128 }, (_, i) => i);
 
 	return {
-		name: '120-cell-5-cell',
+		name: '120 5-cells',
 		nodes: nodes,
 		links: links,
 		options: [
-		    { name: "5-cells", links: [ 0, 1, 2, 3, 4, 5, 6, 7, 8 ] },
+			{ name: "none", links: show_links},
-		],
+	        ],
-		description: `The 120-cell with one of its 5-cells.`,
+		description: `The 120 5-cells from the 120-cell, without the latter's links. This colouring is pretty arbitrary, being based on the algorithm which partitioned the nodes: a later version will have something that's based on the symmetries of the 600-cells which each of the 5-cells has its nodes in.`,
 	}
 }
 
@@ -913,6 +921,7 @@ export const build_all = () => {
 		cell600(),
 		cell600_layered(),
 	 	cell120_inscribed(),
+	 	cell120_inscribed_cell5(),
 	 	cell120_layered()
 	 	];
 }