windmillTile: Windmill Pattern Tiling

Rotational tiling pattern generation

The windmillTile functions create windmill-like patterns by applying rotational transformations to square tiles based on their grid coordinates. Each tile is rotated by an amount determined by its position in the grid, creating a windmill or pinwheel effect.

The rotation angle for each tile is calculated using:

$$\alpha = \left(|mod(t.z, 2) - mod(t.w, 2)| + mod(t.w, 2) \times 2\right) \times 0.25 \times turn$$

Where t.zw are the tile coordinates and turn controls the rotation amount.

Available Functions

Function	Input Types	Output Type	Description
windmillTile	vec4, float	vec4	Windmill with custom turn amount
windmillTileDefault	vec4	vec4	Windmill with TAU rotation
windmillTileVec2	vec2	vec4	Windmill from UV coordinates
windmillTileFloat	vec2, float	vec4	Scaled windmill pattern
windmillTileVec2Scale	vec2, vec2	vec4	Vector-scaled windmill pattern

Parameters

• t: Tile coordinates (from sqTile)
• turn: Rotation multiplier (default is TAU)
• v: UV coordinates for pattern generation
• s: Scale factor(s)

ライブエディター

const fragment = () => {
      const scale = iTime.mul(0.3).sin().mul(2).add(4)
      const tile = windmillTileFloat(uv, scale)
      const color = tile.xy.add(tile.zw.mul(0.1))
      return vec4(color, 0.5, 1)
}

結果

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