Dense quasicrystalline tilings by squares and equilateral triangles.

Abstract

Dense square-symmetry tilings of the plane by equilateral triangles and squares are described. Repeated substitution of a vertex of a tiling by groups of vertices leads asymptotically to a limiting density that is independent of the starting pattern and to a family of quasicrystalline patterns with 12-fold symmetry. Diffraction patterns were computed by… (More)
DOI: 10.1107/S0108767309044183