Constructing quasicrystalline lattices

Abstract

A new method to construct quasicrystalline lattices is proposed. It is based on Landau crystallization theory. Like well-known cut and projection methods our approach deals with N dimensional crystallography, but we don't need any conception similar to an acceptance domain or atomic surfaces. The selection of nodes, included into the lattice, is based on simple rules provided their local order in a real space.