Structural properties of octagonal quasicrystal based on covering theory

摘要

Cluster covering is a new approach to generate quasicrystal models, based on which a two-dimensional quasilattice can be described in terms of a single quasi-unit cell. We investigate the structural properties of a covering model of the octagonal quasicrystal. The pair covering rules, the nearest-neighbor configurations, and the configuration distributions are presented.(c) 2008 Elsevier Ltd. All rights reserved.