The square Fibonacci tiling

被引：60

作者：

Lifshitz, R ^{[1
]}

机构：

[1] Tel Aviv Univ, Sackler Fac Exact Sci, Sch Phys & Astron, IL-69978 Tel Aviv, Israel

来源：

JOURNAL OF ALLOYS AND COMPOUNDS | 2002年 / 342卷 / 1-2期

关键词：

quasicrystals; tiling; symmetry; fibonacci; diffraction;

D O I：

10.1016/S0925-8388(02)00169-X

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

We introduce the 2-dimensional square Fibonacci tiling and its generalization to higher dimensions as models for quasicrystals without 'forbidden' symmetries. We derive some of the basic mathematical properties of the tiling as well as calculate its diffraction pattern. We discuss the relevance of the Fibonacci tiling for quasicrystal research and for applications in other fields. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：186 / 190

页数：5

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