Basket weave

Good for

Baskets (of course), trays and storage bins.

Print notes

• Depth 0.4 to 1.5 mm for a 0.4 mm nozzle (as written: 1.1 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 basketWeave(U: number, V: number, cell = 10.0, amp = 1.1) {
  const i = Math.floor(U / cell);
  const j = Math.floor(V / cell);
  const s = U / cell - i - 0.5;
  const t = V / cell - j - 0.5;
  const horiz = mod(i + j, 2) === 0;
  const a = horiz ? s : t; // along the strip
  const b = horiz ? t : s; // across it
  const strips = Math.floor((b + 0.5) * 3);
  const bb = (b + 0.5) * 3 - strips - 0.5;
  return amp * (0.7 + 0.3 * Math.cos(Math.PI * a)) * dome((bb / 0.47) ** 2);
}

/** Python's floor modulo: the result has the sign of b (`-1 % 2` is 1, as in numpy). */
function mod(a: number, b: number) {
  return a - b * Math.floor(a / b);
}

/** A round bump: 1 in the middle (r2 = 0), 0 at the edge (r2 = 1). */
function dome(r2: number) {
  return Math.sqrt(clamp(1 - r2, 0, 1));
}

function clamp(x: number, lo: number, hi: number) {
  return Math.min(Math.max(x, lo), hi);
}

Printed