Substitution tilings with dense tile orientations and -fold rotational symmetry

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• 作者：D. Frettlö ; h^b ; ^{dfrettloeh@techfak.uni-bielefeld.de} ; A.L.D. Say-awen^a ; M.L.A.N. De Las Peñ ; as^a
• 关键词：Tilings ; Aperiodic order ; Irrational angle
• 刊名：Indagationes Mathematicae
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：28
• 期：1
• 页码：120-131
• 全文大小：326 K
• 卷排序：28

文摘

It is shown that there are primitive substitution tilings with dense tile orientations invariant under nn-fold rotation for n∈{2,3,4,5,6,8}n∈{2,3,4,5,6,8}. The proof for dense tile orientations uses a general result about irrationality of angles in certain parallelograms.