checkerTile: Binary Checkerboard Pattern Tiling

Alternating binary pattern generation

The checker tiling function generates alternating 0/1 patterns from tile coordinates. For tile indices $(z, w)$, the function computes the checkerboard value using modular arithmetic:

$$c = (z \bmod 2, w \bmod 2)$$ $$\text{checker} = |c_x - c_y|$$

This produces a binary output where adjacent tiles have opposite values, creating the classic checkerboard pattern.

Binary Output Mapping

Tile Index $(z,w)$	$z \bmod 2$	$w \bmod 2$	$	c_x - c_y	$	Pattern
$(0,0)$	$0$	$0$	$0$	Black
$(1,0)$	$1$	$0$	$1$	White
$(0,1)$	$0$	$1$	$1$	White
$(1,1)$	$1$	$1$	$0$	Black

High Contrast Checkerboard

Live Editor

const fragment = () => {
      const pattern = checkerTileVec2(uv.mul(8))
      const color = vec3(pattern)
      return vec4(color, 1)
}

Result

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