An effective construction for cut-and-project rhombus tilings with global n-fold rotational symmetry
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866912041488351232 |
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| author | Lutfalla, Victor H. |
| author_facet | Lutfalla, Victor H. |
| contents | We give an explicit and effective construction for rhombus cut-and-project tilings with global n-fold rotational symmetry for any n. This construction is based on the dualization of regular n-fold multigrids. The main point is to prove the regularity of these multigrids, for this we use a result on trigonometric diophantine equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_10128 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | An effective construction for cut-and-project rhombus tilings with global n-fold rotational symmetry Lutfalla, Victor H. Discrete Mathematics Metric Geometry We give an explicit and effective construction for rhombus cut-and-project tilings with global n-fold rotational symmetry for any n. This construction is based on the dualization of regular n-fold multigrids. The main point is to prove the regularity of these multigrids, for this we use a result on trigonometric diophantine equations. |
| title | An effective construction for cut-and-project rhombus tilings with global n-fold rotational symmetry |
| topic | Discrete Mathematics Metric Geometry |
| url | https://arxiv.org/abs/2004.10128 |