Dodecagonal quasicrystals: Construction of 2D lattices and demonstrations using laser pointers

Abstract

Photographic slides of an aperiodic dodecagonal tiling were used as two-dimensional diffraction gratings to describe and demonstrate the basic properties of dodecagonal quasicrystals. This paper complements our earlier publication on Penrose (decagonal) and Ammann (octagonal) quasicrystals, where we constructed and presented the corresponding diffraction gratings.