Weak local rules for planar octagonal tilings
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2015
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| _version_ | 1866914961856397312 |
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| author | Bédaride, Nicolas Fernique, Thomas |
| author_facet | Bédaride, Nicolas Fernique, Thomas |
| contents | We provide an effective characterization of the planar octagonal tilings which admit weak local rules. As a corollary, we show that they are all based on quadratic irrationalities, as conjectured by Thang Le in the 90s. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1512_04679 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Weak local rules for planar octagonal tilings Bédaride, Nicolas Fernique, Thomas Dynamical Systems Mathematical Physics Combinatorics Metric Geometry 37B50, 52C20, 52C23, 37B10 F.1.1 We provide an effective characterization of the planar octagonal tilings which admit weak local rules. As a corollary, we show that they are all based on quadratic irrationalities, as conjectured by Thang Le in the 90s. |
| title | Weak local rules for planar octagonal tilings |
| topic | Dynamical Systems Mathematical Physics Combinatorics Metric Geometry 37B50, 52C20, 52C23, 37B10 F.1.1 |
| url | https://arxiv.org/abs/1512.04679 |