Generate palette automatically

This commit is contained in:
Aaron Fenyes 2024-06-25 17:57:16 -07:00
parent b7b5b9386b
commit 182b5bb9f6
2 changed files with 63 additions and 34 deletions

View file

@ -21,43 +21,55 @@
<script>
// in the default view, e4 + e5 is the point at infinity
let CGA3 = Algebra(4, 1);
let v = [
let elements = [
CGA3.inline(() => Math.sqrt(0.5)*( 1e1 + 1e2 + 1e3 + 1e5))(),
CGA3.inline(() => Math.sqrt(0.5)*( 1e1 - 1e2 - 1e3 + 1e5))(),
CGA3.inline(() => Math.sqrt(0.5)*(-1e1 + 1e2 - 1e3 + 1e5))(),
CGA3.inline(() => Math.sqrt(0.5)*(-1e1 - 1e2 + 1e3 + 1e5))(),
CGA3.inline(() => -Math.sqrt(3)*1e4 + Math.sqrt(2)*1e5)()
];
// set up palette
var colorIndex;
var palette = [0xff00b0, 0x00ffb0, 0x00b0ff, 0x8040ff, 0xc0c0c0];
function nextColor() {
colorIndex = (colorIndex + 1) % palette.length;
return palette[colorIndex];
}
function resetColorCycle() {
colorIndex = palette.length - 1;
}
resetColorCycle();
// create scene function
let scene = () => [
0xff00b0, v[0],
0x00ffb0, v[1],
0x00b0ff, v[2],
0x8040ff, v[3],
0xc0c0c0, v[4]
];
function scene() {
commands = [];
resetColorCycle();
elements.forEach((elt) => commands.push(nextColor(), elt));
return commands;
}
// initialize graph
let gr = CGA3.graph(
let graph = CGA3.graph(
scene,
{
conformal: true, gl: true, grid: true
}
)
document.body.appendChild(gr);
document.body.appendChild(graph);
function flip() {
for (let n = 0; n < 4; ++n) {
let last = elements.length - 1;
for (let n = 0; n < last; ++n) {
// reflect
v[n] = CGA3.Mul(CGA3.Mul(v[4], v[n]), v[4]);
elements[n] = CGA3.Mul(CGA3.Mul(elements[last], elements[n]), elements[last]);
// de-noise
for (let k = 6; k < v[n].length; ++k) {
v[n][k] = 0;
for (let k = 6; k < elements[n].length; ++k) {
elements[n][k] = 0;
}
}
requestAnimationFrame(gr.update.bind(gr, scene));
requestAnimationFrame(graph.update.bind(graph, scene));
}
</script>
</body>