Published
Edited
Nov 19, 2019
Fork of Trefoils
2 stars
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canvas = {
const context = DOM.context2d(width, height);
const canvas = context.canvas;
canvas.style.width = "100%";
canvas.style.maxWidth = "720px";
canvas.style.display = "block";
canvas.style.margin = "auto";
context.lineCap = "square";
context.fillStyle = "#fff";
while (true) {
const t = Date.now() / 20000;
context.save();
context.fillRect(0, 0, width, height);
context.translate(width / 2, height / 2 + 28);

knots(context, t, N * 2 / 9, N * 3 / 9, 0);
knots(context, t, N * 5 / 9, N * 6 / 9, 0);
knots(context, t, N * 8 / 9, N * 9 / 9, 0);
knots(context, t, N * 0 / 9, N * 1 / 9, 5);
knots(context, t, N * 3 / 9, N * 4 / 9, 5);
knots(context, t, N * 6 / 9, N * 7 / 9, 5);
knots(context, t, N * 0 / 9 - 1, N * 2 / 9 + 1, 0);
knots(context, t, N * 3 / 9 - 1, N * 5 / 9 + 1, 0);
knots(context, t, N * 6 / 9 - 1, N * 8 / 9 + 1, 0);
context.restore();
yield canvas;
}
}
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function knots(context, t, i0, i1, wo) {
for (let a = -4; a < 5; ++a) {
context.strokeStyle = wo ? context.fillStyle : d3.interpolateRainbow((a + 5) * t);
knot(context, 15 * (a - 0.5), -(a + 5) * t, i0, i1, wo);
}
}
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function knot(context, of, q, i0, i1, wo) {
const tau = 2 * Math.PI;
let theta = tau * i0 / N, w;
let vx0, vx1 = r * x(theta) + of * ypn(theta);
let vy0, vy1 = r * y(theta) + of * xpn(theta);
for (let i = i0 + 1; i < i1; ++i) {
theta = tau * i / N;
vx0 = vx1, vx1 = r * x(theta) + of * ypn(theta);
vy0 = vy1, vy1 = r * y(theta) + of * xpn(theta);
w = map(Math.cos(theta + tau * q), 1, -1, 0, 1);
w = lerp(2.5, 8.5, ease(Math.max(0, Math.min(1, 3.5 * w - 2.5)), 7)) + wo;
context.beginPath();
context.moveTo(vx0, vy0);
context.lineTo(vx1, vy1);
context.lineWidth = w;
context.stroke();
}
}
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function x(q) {
return Math.sin(q) + 2 * Math.sin(2 * q);
}
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function xp(q) {
return Math.cos(q) + 4 * Math.cos(2 * q);
}
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function y(q) {
return Math.cos(q) - 2 * Math.cos(2 * q);
}
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function yp(q) {
return -Math.sin(q) - 4 * Math.sin(2 * q);
}
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function xpn(q) {
return xp(q) / dist(xp(q), yp(q), 0, 0);
}
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function ypn(q) {
return yp(q) / dist(xp(q), yp(q), 0, 0);
}
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function z(q) {
return Math.sin(3 * q);
}
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function dist(x1, y1, x2, y2) {
return Math.sqrt((x2 - x1) ** 2 + (y2 - y1) ** 2);
}
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function map(value, start1, stop1, start2, stop2) {
return (value - start1)
/ (stop1 - start1)
* (stop2 - start2) + start2;
}
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function lerp(start, stop, amt) {
return start + (stop - start) * amt;
}
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function ease(p, g) {
return p < 0.5
? 0.5 * Math.pow(2 * p, g)
: 1 - 0.5 * Math.pow(2 * (1 - p), g);
}
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d3 = require("d3-scale-chromatic@1.2.0/dist/d3-scale-chromatic.min.js")
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