Substitution tilings with dense tile orientations and n-fold rotational symmetry

被引：3
|
作者：
Frettloeh, D. [2 ]
Say-awen, A. L. D. [1 ]
De Las Penas, M. L. A. N. [1 ]
机构：
[1] Ateneo Manila Univ, Quezon City, Philippines
[2] Univ Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2017年 / 28卷 / 01期
关键词：
Tilings; Aperiodic order; Irrational angle;
D O I：
10.1016/j.indag.2016.11.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that there are primitive substitution filings with dense tile orientations invariant under n-fold rotation for n is an element of {2, 3, 4, 5, 6, 8). The proof for dense tile orientations uses a general result about irrationality of angles in certain parallelograms. (C) 2016 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：120 / 131
页数：12
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