Generation of Quasiperiodic Structures by Amassment Centres in Multilattices

Abstract

In this paper, a general method for generating quasiperiodic lattices is given. It is based on point multilattices which may be transformed into quasilattices in a new manner. A rounding operation allows the conversion of amassments of points in the multilattice into single points of a perfect quasicrystalline structure. Several examples are given.