Penrose Tiling with Defects

P3 rhomb tiling — matching-rule violations shown in red, explore quasicrystalline disorder

Controls

Thin rhomb (36°)
Thick rhomb (72°)
Defect tile
P3 Penrose tiling generated by deflation rules. Each thick rhomb → 2 thick + 1 thin; each thin → 1 thick + 1 thin.

Defects: randomly flipped tiles that violate the matching rules, shown in red. Real quasicrystals contain ~1% phason defects from rapid quenching.