Visualization toolmaker. Founder @observablehq. Creator @d3. Former @nytgraphics. Pronounced BOSS-tock.
Guided Tour of an Infinite Sphere GridCreating a Canvas Noise Map for Generative Art012 Truchet tiles014 Joy Division016 Some TrianglesConnections 2Stacking Polygons In A CircleSplitting LinesBulge IllusionVoronoi Spirals IIPerlin Noise ContoursTruchet Tiles variant: Intertwined quarter circlesGetting Artsy With LloydUlam SpiralOil painting brushstrokesRotating VoronoiBridget Riley 3SphoiseTriangles And CirclesYvaral IITwo GridsRandomized Flood FillOrientedMeandering VoronoiVoronoi StipplingEyesSubstrateIncremental Drift (Rose Equation)Circles, Spirals and SunflowersVoronoi Stained Glass PortraitsYvaralMy first Observable Notebook - Art of πQuadtree ArtFitzHugh–Nagumo MazeBridget RileyStructure de QuadrilatèresFractal TreePencil TraceAltered World
Trefoils
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;
}
}
function knots(context, t, i0, i1, wo) {
for (let a = -4; a < 5; ++a) {
knot(context, 15 * (a - 0.5), -(a + 5) * t, i0, i1, wo);
}
}
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);
if (wo) context.strokeStyle = context.fillStyle;
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;
if (!wo) context.strokeStyle = color(i);
context.stroke();
}
}
color = {
const colors = Array.from({length: N}, (_, i) => d3.interpolateRainbow(i / N * 3));
return i => colors[i];
}
width = 720
height = 720
N = 360
r = 84
function x(q) {
return Math.sin(q) + 2 * Math.sin(2 * q);
}
function xp(q) {
return Math.cos(q) + 4 * Math.cos(2 * q);
}
function y(q) {
return Math.cos(q) - 2 * Math.cos(2 * q);
}
function yp(q) {
return -Math.sin(q) - 4 * Math.sin(2 * q);
}
function xpn(q) {
return xp(q) / dist(xp(q), yp(q), 0, 0);
}
function ypn(q) {
return yp(q) / dist(xp(q), yp(q), 0, 0);
}
function z(q) {
return Math.sin(3 * q);
}
function dist(x1, y1, x2, y2) {
return Math.hypot(x2 - x1, y2 - y1);
}
function map(value, start1, stop1, start2, stop2) {
return (value - start1) / (stop1 - start1) * (stop2 - start2) + start2;
}
function lerp(start, stop, t) {
return start * (1 - t) + stop * t;
}
function ease(p, g) {
return p < 0.5
? 0.5 * Math.pow(2 * p, g)
: 1 - 0.5 * Math.pow(2 * (1 - p), g);
}
d3 = require("d3-scale-chromatic@1")
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