Quilted

Good for

Cases, cushions-that-are-not-cushions, phone stands.

Print notes

The seams are narrow grooves (about 1.1 mm): use a size of 1.1 or more for crisp ones.

• Depth 0.4 to 1.5 mm for a 0.4 mm nozzle (as written: 1.4 mm).
• Best on walls, printed upright. On a flat top, use thin layers (0.12 mm or less).
• Fade it out over the bottom 3 mm so the first layers are flat and stick to the plate.
• Not printed yet: these notes come from the geometry. The test cube will tell us more.

The formula

The real code this page runs: give it a point (U mm across, V mm up) and it returns the height there, in mm. Push the surface out by that much and the texture is real geometry.

function quilted(U: number, V: number, p = 14.0, amp = 1.4) {
  const a = (U + V) / p;
  const b = (U - V) / p;
  const s = a - Math.floor(a) - 0.5;
  const t = b - Math.floor(b) - 0.5;
  const puff = Math.cos(Math.PI * s) * Math.cos(Math.PI * t);
  const seam =
    Math.exp(-(((Math.abs(s) - 0.5) / 0.04) ** 2)) + Math.exp(-(((Math.abs(t) - 0.5) / 0.04) ** 2));
  return Math.max(amp * puff ** 0.6 - 0.4 * seam, 0);
}

Printed