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

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

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Bibliographic Details
Main Authors: Frettlöh, Dirk, Say-Awen, April Lynne D, De Las Peñas, Ma. Louise Antonette N
Format: text
Published: Archīum Ateneo 2017
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Online Access:https://archium.ateneo.edu/mathematics-faculty-pubs/11
https://www.sciencedirect.com/science/article/pii/S0019357716300763
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Institution: Ateneo De Manila University