Superquasicrystals: selfsimilar ordered structures with non-crystallographic point symmetries
Materials Science
2009-11-10 v1
Abstract
We present a systematic method of constructing limit-quasiperiodic structures with non-crystallographic point symmetries. Such structures are different aperiodic ordered structures from quasicrystals, and we call them "superquasicrystals". They are sections of higher-dimensional limit-periodic structures constructed on "super-Bravais-lattices". We enumerate important super-Bravais-lattices. Superquasicrystals with strong selfsimilarities form an important subclass. A simplest example is a two-dimensional octagonal superquasicrystal.
Keywords
Cite
@article{arxiv.cond-mat/0411134,
title = {Superquasicrystals: selfsimilar ordered structures with non-crystallographic point symmetries},
author = {Komajiro Niizeki and Nobuhisa Fujita},
journal= {arXiv preprint arXiv:cond-mat/0411134},
year = {2009}
}
Comments
7 pages, 1 figure, Submitted to J. Phys. A