scriptgrapher.com

where algorithms meet ink

Generated Works

Hypotrochoid No. 1

Hypotrochoid No. 2

Hypotrochoid No. 3

Lissajous No. 4

Epitrochoid No. 5

Spirograph No. 6

The Algorithm

function drawSpirograph(R, r, d) {
  const points = [];
  for (let t = 0; t < 2 * Math.PI * 20; t += 0.01) {
    const x = (R - r) * Math.cos(t) + d * Math.cos((R - r) / r * t);
    const y = (R - r) * Math.sin(t) - d * Math.sin((R - r) / r * t);
    points.push({ x, y });
  }
  return toSVGPath(points);
}

Every line is a decision. Every curve, an equation made visible.