12-fold Shuriken Tiling

• Finite Local Complexity (FLC)
• Infinite Rotations / Dense Tile Orientations
• Polytopal Tiles
• Self-Similar Substitution

Info

A substitution rule that gives rise to an aperiodic tiling with dense tile orientations and 12-fold rotational symmetry. The inflation factor is $\sqrt{5+2\sqrt{3}}$. The tiling has finite local complexity with respect to rigid motions.

Substitution Rule

Patch

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