On symmetries of quasicrystals

被引：0

作者：

Artamonov, VA ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119992, Russia

来源：

Algebraic Structures and Their Representations | 2005年 / 376卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to present "cut and project" method in the theory of quasicrystals. We expose an algebraic criterion under which an element of a "physical" space belongs to a quasicrystal. It is shown that under some natural assumptions a quasicrystal is uniquely determined by its intersection with a unit ball. Finally we introduce a symmetry group and an inverse symmetry semigroup of a quasicrystal.

引用

页码：175 / 188

页数：14

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