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Attempt to animate the canonicalization process. #25

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1e054cd
Attempt to animate the canonicalization process. (Also fix tiny HTML …
Oct 9, 2025
c21d764
Try a way to animate canonicalization that's more likely to succeed.
Oct 9, 2025
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64 changes: 36 additions & 28 deletions geo_operators.js
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Original file line number Diff line number Diff line change
Expand Up @@ -88,35 +88,43 @@ const planarize = function(vertices, faces) {
};

// combines above three constraint adjustments in iterative cycle
const canonicalize = function(poly, Niter) {
if (!Niter) {
Niter = 1;
}
console.log(`Canonicalizing ${poly.name}...`);
const faces = poly.faces;
const edges = poly.edges();
let newVs = poly.vertices;
let maxChange = 1.0; // convergence tracker
for (let i = 0; i <= Niter; i++) {
const oldVs = copyVecArray(newVs); //copy vertices
newVs = tangentify(newVs, edges);
newVs = recenter(newVs, edges);
newVs = planarize(newVs, faces);
maxChange = _.max(_.map(_.zip(newVs, oldVs),
([x, y])=>mag(sub(x, y))
));
if (maxChange < 1e-8) {
break;
const canonicalize = async function (poly, Niter) {
if (!Niter) {
Niter = 1;
}
}
// one should now rescale, but not rescaling here makes for very interesting numerical
// instabilities that make interesting mutants on multiple applications...
// more experience will tell what to do
//newVs = rescale(newVs)
console.log(`[canonicalization done, last |deltaV|=${maxChange}]`);
const newpoly = new polyhedron(newVs, poly.faces, poly.name);
console.log("canonicalize" , newpoly);
return newpoly;
console.log(`Canonicalizing ${poly.name}...`);
const faces = poly.faces;
const edges = poly.edges();
let newVs = poly.vertices;
let maxChange = 1.0; // convergence tracker
for (let i = 0; i <= Niter; i++) {
const oldVs = copyVecArray(newVs); //copy vertices
newVs = tangentify(newVs, edges);
newVs = recenter(newVs, edges);
newVs = planarize(newVs, faces);
maxChange = _.max(_.map(_.zip(newVs, oldVs),
([x, y]) => mag(sub(x, y))
));
if (maxChange < 1e-8) {
break;
}

// Update the polyhedron vertices to show progress
poly.vertices = newVs;
// update the display to show animated progress
// TODO: test and debug
drawShape();
// Yield to browser to allow display update
await new Promise(resolve => setTimeout(resolve, 0));
}
// one should now rescale, but not rescaling here makes for very interesting numerical
// instabilities that make interesting mutants on multiple applications...
// more experience will tell what to do
//newVs = rescale(newVs)
console.log(`[canonicalization done, last |deltaV|=${maxChange}]`);
const newpoly = new polyhedron(newVs, poly.faces, poly.name);
console.log("canonicalize", newpoly);
return newpoly;
};

// Hacky Canonicalization Algorithm
Expand Down
2 changes: 1 addition & 1 deletion polyhedronisme.html
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Original file line number Diff line number Diff line change
Expand Up @@ -16,7 +16,7 @@
<body>
<div class="container">
<h2 style="text-align:center;">
<span class="fadey">poly</span>H&eacute;d<span class="fadey">r</span>onisme<span style="font-size:10px;">v0.2.1<span>
<span class="fadey">poly</span>H&eacute;d<span class="fadey">r</span>onisme<span style="font-size:10px;">v0.2.1</span>
</h2>

<div class="canvaswrapper clearfix">
Expand Down
64 changes: 36 additions & 28 deletions polyhedronisme.js
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -7055,35 +7055,43 @@ const planarize = function(vertices, faces) {
};

// combines above three constraint adjustments in iterative cycle
const canonicalize = function(poly, Niter) {
if (!Niter) {
Niter = 1;
}
console.log(`Canonicalizing ${poly.name}...`);
const faces = poly.faces;
const edges = poly.edges();
let newVs = poly.vertices;
let maxChange = 1.0; // convergence tracker
for (let i = 0; i <= Niter; i++) {
const oldVs = copyVecArray(newVs); //copy vertices
newVs = tangentify(newVs, edges);
newVs = recenter(newVs, edges);
newVs = planarize(newVs, faces);
maxChange = _.max(_.map(_.zip(newVs, oldVs),
([x, y])=>mag(sub(x, y))
));
if (maxChange < 1e-8) {
break;
const canonicalize = async function (poly, Niter) {
if (!Niter) {
Niter = 1;
}
}
// one should now rescale, but not rescaling here makes for very interesting numerical
// instabilities that make interesting mutants on multiple applications...
// more experience will tell what to do
//newVs = rescale(newVs)
console.log(`[canonicalization done, last |deltaV|=${maxChange}]`);
const newpoly = new polyhedron(newVs, poly.faces, poly.name);
console.log("canonicalize" , newpoly);
return newpoly;
console.log(`Canonicalizing ${poly.name}...`);
const faces = poly.faces;
const edges = poly.edges();
let newVs = poly.vertices;
let maxChange = 1.0; // convergence tracker
for (let i = 0; i <= Niter; i++) {
const oldVs = copyVecArray(newVs); //copy vertices
newVs = tangentify(newVs, edges);
newVs = recenter(newVs, edges);
newVs = planarize(newVs, faces);
maxChange = _.max(_.map(_.zip(newVs, oldVs),
([x, y]) => mag(sub(x, y))
));
if (maxChange < 1e-8) {
break;
}

// Update the polyhedron vertices to show progress
poly.vertices = newVs;
// update the display to show animated progress
// TODO: test and debug
drawShape();
// Yield to browser to allow display update
await new Promise(resolve => setTimeout(resolve, 0));
}
// one should now rescale, but not rescaling here makes for very interesting numerical
// instabilities that make interesting mutants on multiple applications...
// more experience will tell what to do
//newVs = rescale(newVs)
console.log(`[canonicalization done, last |deltaV|=${maxChange}]`);
const newpoly = new polyhedron(newVs, poly.faces, poly.name);
console.log("canonicalize", newpoly);
return newpoly;
};

// Hacky Canonicalization Algorithm
Expand Down