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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Main Authors: | Frettlöh, Dirk, Say-Awen, April Lynne D, De Las Peñas, Ma. Louise Antonette N |
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Format: | text |
Published: |
Archīum Ateneo
2017
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Subjects: | |
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 |
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