Non-overlapping Tiles

Creating non-overlapping tiles without jumping through too many loops can be quite a challenge. In such cases, code examples from the Shadertoy community can be really inspiring to us Houdini artists. This original code written by a user called fizzer cleverly offsets a checkerboard and supports scaling as well as shifting the entire pattern.

float s = chf('scale');
vector2 t = chu('offset');

vector2 uv = (set(v@P.x, v@P.z) + t) * s;

vector2 f = frac(uv);
vector2 c = floor(uv);
vector2 offset;
vector2 tile = c;

float r0 = rand(c);
int orient = (int(c.x) + int(c.y)) & 1;
tile[orient] += f[orient] > r0;
offset[orient] = f[orient] > r0 ? 1.0 : -1.0;

float r1 = rand(c + offset);
tile[orient ^ 1] += f[orient ^ 1] > r1;

u@tile = tile;