Geometry of metadislocations in approximants of quasicrystals

Abstract

We propose a simple geometrical definition of metadislocations based on the N-dim description of quasicrystals and their approximants, as being the traces of quasicrystalline dislocations with a non-zero component of their N-dim Burgers vector in the perpendicular space of the approximant. Examples are given in the octagonal canonical tiling.