WIDTH = Math.min(800, width)
HEIGHT = 500
ORIGIN = [0,0,-250,0]
FINETUNE_DEGREES = 9
HEX_SIDE = L/2 * Math.sqrt((2 + 2/SQRT3) * (1 + 1 / (Math.sqrt(15) + 4)));
function makeCluster(type, pt, rot) {
const tiles = [];
let pts1, pts3, pts5, pts6, pts7;
tiles.push(pts5 = tile('Γ1', pt, 0, 3, rot)); // 5
tiles.push(tile('Γ2', pts5[9], 5, 4, rot)); // 8
tiles.push(pts6 = tile(TILE6[type], pts5[1], 11, 0, rot)); // 6
tiles.push(tile('Δ', pts5[1], 13, 2, rot)); // 2
tiles.push(pts1 = tile(TILE1[type], pts5[5], 11, 4, rot)); // 1
tiles.push(tile('Σ', pts5[5], 13, 6, rot)); // 4
tiles.push(pts7 = tile(TILE7[type], pts5[9], 11, 8, rot)); // 7
tiles.push(pts3 = tile(TILE3[type], pts6[6], 0, 2, rot)); // 3
if (type !== 'Γ') {
tiles.push(tile(TILE9[type], tiles[4][6], 0, 6, rot)); // 9
}
const control_points = [
pts1[4],
pts7[6],
pts6[4],
pts3[6],
];
return {
tiles,
control_points
};
}
function makeSupercluster(type, pt, r) {
const c1 = makeCluster('Γ', pt, 11 + r);
const c2 = makeCluster(TILE6[type][0], c1.control_points[1], 3 + r);
translate(c2.control_points[1], c1.control_points[1], c2);
const c3 = makeCluster(TILE7[type], c1.control_points[2], 7 + r);
translate(c3.control_points[2], c1.control_points[2], c3);
const c4 = makeCluster('Δ', c3.control_points[1], 9 + r);
translate(c4.control_points[3], c3.control_points[1], c4);
// If type == 'Γ' then this cluster is not real, but we need to
// make some random 9-cluster just to get the control point,
// so I chose Ξ arbitrarily.
//
// We could avoid this by starting the chain in a different place.
const c5 = makeCluster(type == 'Γ' ? 'Ξ' : TILE9[type], c4.control_points[0], 9 + r);
translate(c5.control_points[2], c4.control_points[0], c5);
const c6 = makeCluster(TILE1[type][0], c5.control_points[1], 11 + r);
translate(c6.control_points[3], c5.control_points[1], c6);
const c7 = makeCluster('Σ', c6.control_points[1], 1 + r);
translate(c7.control_points[3], c6.control_points[1], c7);
const c8 = makeCluster(TILE3[type], c7.control_points[0], 1 + r);
translate(c8.control_points[2], c7.control_points[0], c8);
let tiles;
if (type == 'Γ') {
tiles = c1.tiles.concat(
c2.tiles,
c3.tiles,
c4.tiles,
c6.tiles,
c7.tiles,
c8.tiles,
);
}
else {
tiles = c1.tiles.concat(
c2.tiles,
c3.tiles,
c4.tiles,
c5.tiles,
c6.tiles,
c7.tiles,
c8.tiles,
);
}
return {
control_points: [
c6.control_points[0],
c3.control_points[3],
c2.control_points[0],
c8.control_points[3],
],
tiles
};
}
function makeHypercluster(type, pt, r) {
const s1 = makeSupercluster('Γ', pt, 0 + r);
const s2 = makeSupercluster(TILE6[type][0], s1.control_points[1], 8 + r);
translate(s2.control_points[1], s1.control_points[1], s2);
const s3 = makeSupercluster(TILE7[type], s1.control_points[2], 4 + r);
translate(s3.control_points[2], s1.control_points[2], s3);
const s4 = makeSupercluster('Δ', s3.control_points[1], 2 + r);
translate(s4.control_points[3], s3.control_points[1], s4);
const s5 = makeSupercluster(type == 'Γ' ? 'Ξ' : TILE9[type], s4.control_points[0], 2 + r);
translate(s5.control_points[2], s4.control_points[0], s5);
const s6 = makeSupercluster(TILE1[type][0], s5.control_points[1], 0 + r);
translate(s6.control_points[3], s5.control_points[1], s6);
const s7 = makeSupercluster('Σ', s6.control_points[1], 10 + r);
translate(s7.control_points[3], s6.control_points[1], s7);
const s8 = makeSupercluster(TILE3[type], s7.control_points[0], 10 + r);
translate(s8.control_points[2], s7.control_points[0], s8);
let tiles;
if (type == 'Γ') {
tiles = s1.tiles.concat(
s2.tiles,
s3.tiles,
s4.tiles,
s6.tiles,
s7.tiles,
s8.tiles,
);
}
else {
tiles = s1.tiles.concat(
s2.tiles,
s3.tiles,
s4.tiles,
s5.tiles,
s6.tiles,
s7.tiles,
s8.tiles,
);
}
return {
control_points: [
s6.control_points[0],
s3.control_points[3],
s2.control_points[0],
s8.control_points[3],
],
tiles
};
}
{
const ct = canvas.ct;
ct.clearRect(-canvas.width/2, -canvas.height/2, canvas.width, canvas.height);
ct.strokeStyle = 'white';
const type = 'Λ';
const h1 = makeHypercluster('Γ', ORIGIN, 0);
const h2 = makeHypercluster(TILE6[type][0], h1.control_points[1], 4);
translate(h2.control_points[1], h1.control_points[1], h2);
const h3 = makeHypercluster(TILE7[type], h1.control_points[2], 8);
translate(h3.control_points[2], h1.control_points[2], h3);
const h4 = makeHypercluster('Δ', h3.control_points[1], 10);
translate(h4.control_points[3], h3.control_points[1], h4);
const h5 = makeHypercluster(type == 'Γ' ? 'Ξ' : TILE9[type], h4.control_points[0], 10);
translate(h5.control_points[2], h4.control_points[0], h5);
const h6 = makeHypercluster(TILE1[type][0], h5.control_points[1], 0);
translate(h6.control_points[3], h5.control_points[1], h6);
const h7 = makeHypercluster('Σ', h6.control_points[1], 2);
translate(h7.control_points[3], h6.control_points[1], h7);
const h8 = makeHypercluster(TILE3[type], h7.control_points[0], 2);
translate(h8.control_points[2], h7.control_points[0], h8);
ct.strokeStyle = 'white';
for (const spectre of h1.tiles) draw(ct, spectre);
for (const spectre of h2.tiles) draw(ct, spectre);
for (const spectre of h3.tiles) draw(ct, spectre);
for (const spectre of h4.tiles) draw(ct, spectre);
for (const spectre of h5.tiles) draw(ct, spectre);
for (const spectre of h6.tiles) draw(ct, spectre);
for (const spectre of h7.tiles) draw(ct, spectre);
for (const spectre of h8.tiles) draw(ct, spectre);
return this || html`(<i>the drawing function</i>)`;
}
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