Penrose tiling

A Penrose tiling is a covering of the plane by non-overlapping polygons or other shapes. Despite their lack of translational symmetry, Penrose tilings may have both reflection symmetry and fivefold rotational symmetry. The study of these tilings has been important in the understanding of physical materials that also form quasicrystals. Penrosetilings have also been applied in architecture and decoration, as...