Broken, don't understand why yet

feature-120-cell-index
Mike Lynch 2023-08-11 18:07:12 +10:00
parent 971a791339
commit a412b5d8aa
2 changed files with 134 additions and 16 deletions

View File

@ -621,14 +621,48 @@ function nice_icosa(nodes, icosa) {
} }
// New approach with tetrahedral coloring
function find_edges(links, nid) {
return links.filter((l) => l.source === nid || l.target === nid );
}
function find_adjacent(links, nid) {
return find_edges(links, nid).map((l) => {
if( l.source === nid ) {
return l.target;
} else {
return l.source;
}
});
}
function iterate_graph(nodes, links, n, fn) {
const queue = [];
const seen = {};
const nodes_id = {};
nodes.map((n) => nodes_id[n.id] = n);
queue.push(n.id);
seen[n.id] = true;
fn(n);
while( queue.length > 0 ) {
const v = queue.shift();
find_adjacent(links, v).map((aid) => {
if( !(aid in seen) ) {
seen[aid] = true;
queue.push(aid);
fn(nodes_id[aid]);
}
})
}
}
const nodes = make_120cell_vertices(); const nodes = make_120cell_vertices();
// const chords = find_all_chords(nodes);
// const chord3 = chords["1.74806"]; // these are edges of the 600-cells;
//const pairs60 = neighbour_angles(chord3, nodes[0], "60.000");
//const icosas = partition_nodes(pairs60);
make_120_partition(nodes, nodes[0])
const links = auto_detect_edges(nodes, 4);

View File

@ -1,4 +1,3 @@
import * as PERMUTE from './permute.js'; import * as PERMUTE from './permute.js';
function index_nodes(nodes, scale) { function index_nodes(nodes, scale) {
@ -185,13 +184,13 @@ function make_120cell_vertices() {
const nodes = [ const nodes = [
PERMUTE.coordinates([0, 0, 2, 2], 0), PERMUTE.coordinates([0, 0, 2, 2], 0),
PERMUTE.coordinates([1, 1, 1, r5], 1), PERMUTE.coordinates([1, 1, 1, r5], 0),
PERMUTE.coordinates([phi, phi, phi, phi2inv], 2), PERMUTE.coordinates([phi, phi, phi, phi2inv], 0),
PERMUTE.coordinates([phiinv, phiinv, phiinv, phi2], 3), PERMUTE.coordinates([phiinv, phiinv, phiinv, phi2], 0),
PERMUTE.coordinates([phi2, phi2inv, 1, 0], 4, true), PERMUTE.coordinates([phi2, phi2inv, 1, 0], 0, true),
PERMUTE.coordinates([r5, phiinv, phi, 0], 5, true), PERMUTE.coordinates([r5, phiinv, phi, 0], 0, true),
PERMUTE.coordinates([2, 1, phi, phiinv], 6, true), PERMUTE.coordinates([2, 1, phi, phiinv], 0, true),
].flat(); ].flat();
index_nodes(nodes); index_nodes(nodes);
scale_nodes(nodes, 0.5); scale_nodes(nodes, 0.5);
@ -209,6 +208,9 @@ function label_nodes(nodes, ids, label) {
export const cell120 = () => { export const cell120 = () => {
const nodes = make_120cell_vertices(); const nodes = make_120cell_vertices();
const links = auto_detect_edges(nodes, 4); const links = auto_detect_edges(nodes, 4);
naive_label_120cell(nodes, links);
return { return {
nodes: nodes, nodes: nodes,
links: links, links: links,
@ -391,6 +393,90 @@ function audit_link_labels(nodes, links) {
function find_edges(links, nid) {
return links.filter((l) => l.source === nid || l.target === nid );
}
function find_adjacent(links, nid) {
return find_edges(links, nid).map((l) => {
if( l.source === nid ) {
return l.target;
} else {
return l.source;
}
});
}
function iterate_graph(nodes, links, n, fn) {
const queue = [];
const seen = {};
const nodes_id = {};
nodes.map((n) => nodes_id[n.id] = n);
queue.push(n.id);
seen[n.id] = true;
fn(n);
while( queue.length > 0 ) {
const v = queue.shift();
find_adjacent(links, v).map((aid) => {
if( !(aid in seen) ) {
seen[aid] = true;
queue.push(aid);
fn(nodes_id[aid]);
}
})
}
}
function dumb_label_120cell(nodes, links) {
let l = 0;
iterate_graph(nodes, links, nodes[0], (n) => {
n.label = l;
console.log(`Labelled ${n.id} ${n.label}`);
l++;
if( l > 2 ) {
l = 0;
}
})
}
// stupid tetrahedral labelling
function naive_label_120cell(nodes, links, n) {
const nodes_id = {};
nodes.map((n) => nodes_id[n.id] = n);
iterate_graph(nodes, links, nodes[0], (n) => {
const cols = new Set();
const nbors = find_adjacent(links, n.id);
for( const nb of nbors ) {
if( nodes_id[nb].label > 0 ) {
cols.add(nodes_id[nb].label);
}
for( const nb2 of find_adjacent(links, nb) ) {
if( nb2 !== n.id && nodes_id[nb].label > 0 ) {
cols.add(nodes_id[nb2].label);
}
}
}
const pcols = [ 1, 2, 3, 4, 5 ].filter((c) => !cols.has(c));
if( pcols.length < 1 ) {
console.log(`Got stuck, no options at ${n.id}`);
} else {
n.label = pcols[0];
console.log(`applied ${pcols[0]} to node ${n.id}`);
}
}
}
export const cell600 = () => { export const cell600 = () => {
const nodes = make_600cell_vertices(); const nodes = make_600cell_vertices();
const links = auto_detect_edges(nodes, 12); const links = auto_detect_edges(nodes, 12);
@ -406,5 +492,3 @@ export const cell600 = () => {
} }