TODO update

TODO.md

@@ -1,24 +1,13 @@
 # FOURD-JS
 
-To-do:
+## 120-cell 5-cell
 
-* render a basic wireframe (vertices and edges)
+We can label the 5-cells by using the 600-cell layers - might be more interesting
 
-  - cylinder and spheres
+Try colouring the nodes according to the 120-cell standard way and the links
-  - group these
+in a different set of 5 colours by the new mapping
 
--- DONE
+For a subset of 24 5-cells, the vertices seem to be grouped in clusters on the 120-cells - each cluster has one of each of the 5 labels from the 120 cell
 
+Write a script which checks this for each set
 
-* algorithm for 4d -> 3d transform
-
---DONE
-
-* 4D shape -> 3D projection -> wireframe -> three.js
-
---DONE
-
-Next:
-
-how to do this efficiently so that we can rotate the shape in 4d and have
-this animate in 3d?

colours.js

@@ -2,6 +2,13 @@ import ColorScheme from 'color-scheme';
 import Color from 'color';
 
 export const get_colours = (basis) => {
+        const colours = get_colours_spectrum(basis);
+        console.log(colours);
+        return colours;
+}
+
+
+const get_colours_tetrade = (basis) => {
 	const basis_c = Color(basis);
 	const hslb = basis_c.hsl();
 	const hue = hslb['color'][0];
@@ -10,13 +17,29 @@ export const get_colours = (basis) => {
 	const scheme = new ColorScheme;
 	scheme.from_hue(hue).scheme("tetrade").distance(0.75);
 	const colours = scheme.colors();
-	colours.reverse(); 
+	//colours.reverse(); 
 	const hsl = colours.map((c) => Color("#" + c).hsl());
 	const resaturated = hsl.map((hslc) => hslc.saturationl(saturation).rgbNumber()); 
 	resaturated.unshift(basis);
 	return resaturated;
 }
 
+
+const get_colours_spectrum = (basis) => {
+	const basis_c = Color(basis);
+	const hslb = basis_c.hsl();
+	const hue = hslb['color'][0];
+	const saturation = hslb['color'][1];
+	const luminance = hslb['color'][2];
+        const SPECTRUM = 10;
+        const hsl = [];
+        for( let i = 0; i < SPECTRUM; i++ ) {
+            const h = (hue + i * 360 / SPECTRUM) % 360;
+            hsl.push(Color.hsl(h, saturation, luminance));
+        }
+	return hsl.map((hslc) => hslc.rgbNumber());
+}
+
 // basic colours where 0 = blue
 // 1 - dark blue
 // 2 - white

polytopes.js

@@ -89,16 +89,16 @@ export const cell5 = () => {
 	      {id:5, label: 5, x: 0, y: 0, z: 0, w: 1 },
 		],
 		links: [
-			{ id:1, source:1, target: 2},
+			{ id:1, source:1, target: 2, label:0},
-			{ id:2, source:1, target: 3},
+			{ id:2, source:1, target: 3, label:0},
-			{ id:3, source:1, target: 4},
+			{ id:3, source:1, target: 4, label:0},
-			{ id:4, source:1, target: 5},
+			{ id:4, source:1, target: 5, label:0},
-			{ id:5, source:2, target: 3},
+			{ id:5, source:2, target: 3, label:0},
-			{ id:6, source:2, target: 4},
+			{ id:6, source:2, target: 4, label:0},
-			{ id:7, source:2, target: 5},
+			{ id:7, source:2, target: 5, label:0},
-			{ id:8, source:3, target: 4},
+			{ id:8, source:3, target: 4, label:0},
-			{ id:9, source:3, target: 5},
+			{ id:9, source:3, target: 5, label:0},
-			{ id:10, source:4, target: 5},
+			{ id:10, source:4, target: 5, label:0},
 		],
 		options: [ { name: '--' }],
 		description: `Five tetrahedra joined at ten faces with three
@@ -126,6 +126,7 @@ export const cell16 = () => {
 	index_nodes(nodes);
 	scale_nodes(nodes, 0.5);
 	const links = auto_detect_edges(nodes, 6);
+	links.map((l) => l.label = 0);
 
 	return {
 		name: '16-cell',
@@ -513,29 +514,41 @@ export const cell120_inscribed_cell5 = () => {
 	const nodes  = make_120cell_vertices();
 	const links = auto_detect_edges(nodes, 4);
 
+  	for( const cstr in CELLINDEX.INDEX120 ) {
+		label_nodes(nodes, CELLINDEX.INDEX120[cstr], Number(cstr));
+	}
+
 	links.map((l) => l.label = 0);
 
         const CELL5S = CELLINDEX.CELL120_CELL5;
 
+        const nodesc5s = [];
+        const linksc5s = [];
+        const nids = [];
+
         for( const c5 in CELL5S ) {
+            if( CELL5S[c5].label === 3 ) {
                 const nodes5 = nodes.filter((n) => CELL5S[c5].nodes.includes(n.id));
                 const links5 = auto_detect_edges(nodes5, 5);
                 links5.map((l) => l.label = CELL5S[c5].label);
-            links.push(...links5);
+                linksc5s.push(...links5);
-            nodes5.map((n) => n.label = CELL5S[c5].label);
+                nodesc5s.push(...nodes5);
+                nids.push(...nodes5.map((n) => n.id));
             }
+        }
+        const links120 = links.filter((l) => nids.includes(l.source) && nids.includes(l.target));
 
 	return {
 		name: '120-cell with 5-cells',
-		nodes: nodes,
+		nodes: nodesc5s,
-		links: links,
+		links: [...linksc5s, ...links120],
 		options: [
-		    { name: "all", links: [0, 1, 2, 3, 4, 5] },
+//		    { name: "all", links: [0, 1, 2, 3, 4, 5] },
-	    { name: "24", links: [0, 1 ] },
+	    { name: "24", links: [0, 3 ] },
-	    { name: "48", links: [0, 1, 2 ] },
+//	    { name: "48", links: [0, 1, 2 ] },
-	    { name: "72", links: [0, 1, 2, 3 ] },
+//	    { 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 ] },
+//	    { name: "hide 1200-cell", links: [ 1, 2, 3, 4, 5 ] },
 	        ],
 		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
@@ -946,12 +959,12 @@ export const tetrahedron = () => {
 	      {id:4, label: 4, x: 0, y: 0, z: 1, w: 0 },
 		],
 		links: [
-			{ id:1, source:1, target: 2},
+			{ id:1, source:1, target: 2, label: 0},
-			{ id:2, source:1, target: 3},
+			{ id:2, source:1, target: 3, label: 0},
-			{ id:3, source:1, target: 4},
+			{ id:3, source:1, target: 4, label: 0},
-			{ id:4, source:2, target: 3},
+			{ id:4, source:2, target: 3, label: 0},
-			{ id:5, source:2, target: 4},
+			{ id:5, source:2, target: 4, label: 0},
-			{ id:6, source:3, target: 4},
+			{ id:6, source:3, target: 4, label: 0},
 		],
 		options: [ { name: '--' }],
 		description: `The simplest three-dimensional polytope, consisting of four triangles joined at six edges. The 5-cell is its four-dimensional analogue.`,
@@ -1081,6 +1094,15 @@ export const build_all = () => {
 	 	];
 }
 
+export const count_labels = (shape) => {
+    const labels = {};
+    shape.nodes.map((n) => labels[n.label] = true);
+    shape.links.map((n) => labels[n.label] = true);
+    return Object.keys(labels);
+};
+
 export const radii = (shape) => {
 	return shape.nodes.map(n => Math.sqrt(n.x * n.x + n.y * n.y + n.z * n.z + n.w * n.w))
 }
+
+

taperedLink.js

@@ -57,7 +57,6 @@ class TaperedLink extends THREE.Group {
     }  
 
     set_colour(colours) {
-        console.log(`taperedLink.set_colour {this.colour_i} {colours[this.colour_i]}`);
         this.material.color = new THREE.Color(colours[this.colour_i]);
     }