Ammann-Beenker Quasiperiodic Tiling

8-fold symmetric quasicrystal tiling built by deflation. Two tile types: squares and 45°-rhombi with inflation ratio 1+√2 (silver ratio).

Inflation level 4 Zoom 1.0 Color mode

λ = 1+√2 ≈ 2.414 (silver ratio)

Ammann-Beenker (1982): 8-fold quasicrystal with squares + rhombi. Built by substitution: each tile → set of smaller tiles. Fourier spectrum: dense set of Bragg peaks with 8-fold symmetry. Quasicrystals discovered (Shechtman, 1984; Nobel 2011).