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
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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.
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收藏
页码：175 / 188
页数：14
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