From 6ae5c7938fd0c8ece162218c40ab16bce35e19ab Mon Sep 17 00:00:00 2001
From: Mike Lynch <m.lynch@sydney.edu.au>
Date: Sun, 23 Nov 2025 10:26:02 +1100
Subject: [PATCH] First glimpse of the inscribed 5-cells in the 120-cell

---
 cellindex.js |  6 ++++++
 main.js      |  1 -
 polytopes.js | 30 +++++++++++++++++++++++++++++-
 3 files changed, 35 insertions(+), 2 deletions(-)

diff --git a/cellindex.js b/cellindex.js
index 366673a..d2d1ca6 100644
--- a/cellindex.js
+++ b/cellindex.js
@@ -104,6 +104,12 @@ export const LAYERS120 =  {
 		163,219,271,223,167]
 };
 
+// just one for now
+
+export const CELL120_CELL5 = {
+    "1": [ 1, 258, 304, 431, 510 ]
+};
+
 // Schoute's partition via https://arxiv.org/abs/1010.4353
 
 export const PARTITION600 = {
diff --git a/main.js b/main.js
index 16591e6..01e544c 100644
--- a/main.js
+++ b/main.js
@@ -69,7 +69,6 @@ link_ms.map((m) => {
 );
 
 
-
 const face_ms = [
 	new THREE.MeshStandardMaterial( { color: 0x44ff44 } )
 	];
diff --git a/polytopes.js b/polytopes.js
index d39a834..ba89d76 100644
--- a/polytopes.js
+++ b/polytopes.js
@@ -461,6 +461,34 @@ export const cell120_inscribed = () => {
 
 
 
+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 nodes5 = nodes.filter((n) => CELLINDEX.CELL120_CELL5["1"].includes(n.id));
+        console.log(`node5 = ${nodes5}`);
+        const links5 = auto_detect_edges(nodes5, 4);
+        links5.map((l) => l.label = 1);
+        links.push(...links5);
+
+	return {
+		name: '120-cell-5-cell',
+		nodes: nodes,
+		links: links,
+		options: [
+			{ name: "none", links: [ 0 ]},
+			{ name: "one inscribed 5-cell", links: [ 0, 1 ] },
+		],
+		description: `The 120-cell with one of its 5-cells.`,
+	}
+}
+
 
 
 function partition_coord(i, coords, invert) {
@@ -864,7 +892,6 @@ export const icosahedron = () => {
 
 export const build_all = () => {
 	return [
-	        linkTest(),
 		tetrahedron(),
 		octahedron(),
 		cube(),
@@ -878,6 +905,7 @@ export const build_all = () => {
 		cell600(),
 		cell600_layered(),
 	 	cell120_inscribed(),
+	 	cell120_inscribed_cell5(),
 	 	cell120_layered()
 	 	];
 }