تقرير
Substitution discrete plane tilings with $2n$-fold rotational symmetry for odd n
| العنوان: | Substitution discrete plane tilings with $2n$-fold rotational symmetry for odd n |
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| المؤلفون: | Kari, Jarkko, Lutfalla, Victor H. |
| سنة النشر: | 2020 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Computer Science - Discrete Mathematics, Mathematics - Combinatorics |
| الوصف: | We study substitution tilings that are also discrete plane tilings, that is, satisfy a relaxed version of cut-and-projection. We prove that the Sub Rosa substitution tilings with a 2n-fold rotational symmetry for odd n greater than 5 defined by Kari and Rissanen are not discrete planes, and therefore not cut-and-project tilings either. We then define new Planar Rosa substitution tilings with a 2n-fold rotational symmetry for any odd n, and show that these satisfy the discrete plane condition. The tilings we consider are edge-to-edge rhombus tilings. We give an explicit construction for the 10-fold case, and provide a construction method for the general case of any odd n. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2010.01879 |
| رقم الأكسشن: | edsarx.2010.01879 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |