Applied the new colour scheme to the 120-cell / 5-cell partition

colours.js

@@ -9,8 +9,8 @@ export const get_colours = (basis) => {
 	const luminance = hslb['color'][2];
 	const scheme = new ColorScheme;
 	scheme.from_hue(hue).scheme("tetrade").distance(0.75);
-	const scolours = scheme.colors();
-	const colours = [ ...scolours,  ...scolours, ...scolours, ...scolours, ...scolours,  ...scolours, ...scolours, ...scolours ]; 
+	const colours = scheme.colors();
+	colours.reverse(); 
 	const hsl = colours.map((c) => Color("#" + c).hsl());
 	const resaturated = hsl.map((hslc) => hslc.saturationl(saturation).rgbNumber()); 
 	resaturated.unshift(basis);

label_inscribed_600cell.js

@@ -363,20 +363,47 @@ export function check_metamap_completeness() {
 export function metamap_to_labels() {
     const b600 = base_600cell();
     const i600 = make_one_600cell();
-    const labels = {
-        1: [],
-        2: [],
-        3: [],
-        4: [],
-        5: [],
-    };
+    const mapping = {};
     for( const inode of i600.nodes ) {
-        const ml = meta600_label(b600, inode.id);
-        labels[ml].push(inode.id);
+        mapping[inode.id] = meta600_label(b600, inode.id);;
     }
 
-    console.log(JSON.stringify(labels, null, 2));
+    return mapping;
 }
 
+export function cell5_labels() {
+    const labels = metamap_to_labels();
 
-metamap_to_labels();
+    // now build a dict of the 120 cell5s with the colours from the above
+
+    const cell5map = {};
+    const CELL5S = CELLINDEX.CELL120_CELL5.cell5s;
+
+    for( const c5i in CELL5S ) {
+        const n1 = CELL5S[c5i][0]; // label 1 node;
+        const ml = labels[n1];
+        cell5map[c5i] = ml;
+    }
+    return cell5map;
+}
+
+export function rebuild_cell5_index() {
+
+    const labels = metamap_to_labels();
+    const new_cell5s = {};
+    const CELL5S = CELLINDEX.CELL120_CELL5;
+
+    for( const c5i in CELL5S ) {
+        const n1 = CELL5S[c5i][0]; // label 1 node;
+        const ml = labels[n1];
+        new_cell5s[c5i] = {
+            nodes: CELL5S[c5i],
+            label: ml
+        }
+    }
+    return new_cell5s;
+}
+
+const nc5 = rebuild_cell5_index();
+
+console.log(JSON.stringify(nc5, null, 4));

polytopes.js

@@ -474,15 +474,6 @@ export const cell120_inscribed = () => {
 		links.push(...links600);
 	}
 
-        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 = 8);
-            links.push(...links5);
-        }
-
 	return {
 		name: '120-cell',
 		nodes: nodes,
@@ -491,14 +482,11 @@ export const cell120_inscribed = () => {
 			{ name: "none", links: [ 0 ]},
 			{ name: "one inscribed 600-cell", links: [ 0, 1 ] },
 			{ name: "five inscribed 600-cells", links: [ 0, 1, 2, 3, 4, 5 ] },
-                        { name: "120 inscribed 5-cells", links: [ 0, 8 ] },
-		],
+	],
 		description: `The 120-cell is the four-dimensional analogue of the
 		dodecahedron, and consists of 120 dodecahedra joined at 720 faces,
 		with three dodecahedra around each edge. It is dual to the 600-cell,
-		and five 600-cells can be inscribed in its vertices. The converse
-		of this allows 120 5-cells (each of which has one vertex in each
-                of the 5 600-cells) to be inscribed in the 120-cell.`,
+		and five 600-cells can be inscribed in its vertices.` ,
 	}
 }
 
@@ -523,28 +511,37 @@ export const cell120_alt = () => {
 
 export const cell120_inscribed_cell5 = () => {
 	const nodes  = make_120cell_vertices();
-	const links = [];
+	const links = auto_detect_edges(nodes, 4);
 
-        const CELL5S = CELLINDEX.CELL120_CELL5.cell5s;
+	links.map((l) => l.label = 0);
+
+        const CELL5S = CELLINDEX.CELL120_CELL5;
 
         for( const c5 in CELL5S ) {
-            const nodes5 = nodes.filter((n) => CELL5S[c5].includes(n.id));
+            const nodes5 = nodes.filter((n) => CELL5S[c5].nodes.includes(n.id));
             const links5 = auto_detect_edges(nodes5, 5);
-            links5.map((l) => l.label = Number(c5));
+            links5.map((l) => l.label = CELL5S[c5].label);
             links.push(...links5);
-            nodes5.map((n) => n.label = Number(c5));
+            nodes5.map((n) => n.label = CELL5S[c5].label);
         }
 
-        const show_links = Array.from({ length: 128 }, (_, i) => i);
-
 	return {
-		name: '120 5-cells',
+		name: '120-cell with 5-cells',
 		nodes: nodes,
 		links: links,
 		options: [
-			{ name: "none", links: show_links},
+		    { name: "all", links: [0, 1, 2, 3, 4, 5] },
+	    { name: "24", links: [0, 1 ] },
+	    { name: "48", links: [0, 1, 2 ] },
+	    { name: "72", links: [0, 1, 2, 3 ] },
+	    { name: "96", links: [0, 1, 2, 3, 4 ] },
+	    { name: "hide 1200-cell", links: [ 1, 2, 3, 4, 5 ] },
 	        ],
-		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.`,
+		description: `The vertices of the 120-cell can also be partitioned
+		into 120 5-cells: each 5-cell has one vertex in each of the five
+		600-cells which can be inscribed in the 120-cell. The colours here
+		are taken from the partition of the inscribed 600-cells' vertices
+		into five 24-cells.`
 	}
 }
 
@@ -1079,7 +1076,7 @@ export const build_all = () => {
 		cell600(),
 		cell600_layered(),
 	 	cell120_inscribed(),
-	 	cell120_test_metamap(),
+	 	cell120_inscribed_cell5(),
 	 	cell120_layered()
 	 	];
 }