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Sheel structure of dodecagonal quasicrystals associated with root system F4and cyclotomic field Q(ζ12)

 

作者: Jun Morita,   Kuniko Sakamoto,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 1  

页码: 255-263

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008826841

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

Using a Coxeter transformation of type F4, we will construct quasicrystals of dimension 2 with twelvefold symmetry. Then, such quasicrystals will be realized as subsets of a certain cyclotomic field. And we will study a typical shell structure algebraically. In particular, we can give its mathematical meaning in terms of elementary number theory.

 

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