brickTile: Staggered Brick Pattern Tiling

Masonry tiling with alternating row offset

The brick tiling function creates a staggered pattern by applying horizontal offset to alternating rows. Given square tile coordinates $t = (x, y, z, w)$ where $(x,y)$ represents fractional position and $(z,w)$ represents integer indices:

$$\text{offset} = \frac{w \bmod 2}{2}$$ $$x' = x + \text{offset}$$

The transformation shifts even rows by half a tile width, creating the characteristic brick masonry pattern.

Tiling Coordinate System

Component	Input Domain	Output Domain	Description
x	$[0,1)$	$[0,1)$	Horizontal fractional position
y	$[0,1)$	$[0,1)$	Vertical fractional position
z	$\mathbb{Z}$	$\mathbb{Z}$	Modified horizontal tile index
w	$\mathbb{Z}$	$\mathbb{Z}$	Vertical tile index

Checkerboard Brick Variation

ライブエディター

const fragment = () => {
      const tiled = brickTileVec2(uv.mul(6))
      const checker = mod(tiled.z.add(tiled.w), 2)
      const color = mix(vec3(0.8, 0.4, 0.2), vec3(0.6, 0.3, 0.1), checker)
      return vec4(color, 1)
}