Average Degree of Graphs Derived From The Ammann A2 Aperiodic Tiling
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912600344756224 |
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| author | Xu, Xinyan Ong, Darren C. |
| author_facet | Xu, Xinyan Ong, Darren C. |
| contents | The Ammann A2 tiling is a simple aperiodically ordered tiling of the plane. We consider the graph derived from this tiling, by treating each corner of each tile as a vertex and each side of each tile as an edge. We present a closed-form formula for the average degree of the graph corresponding to this Ammann A2 tiling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07707 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Average Degree of Graphs Derived From The Ammann A2 Aperiodic Tiling Xu, Xinyan Ong, Darren C. Combinatorics Mathematical Physics The Ammann A2 tiling is a simple aperiodically ordered tiling of the plane. We consider the graph derived from this tiling, by treating each corner of each tile as a vertex and each side of each tile as an edge. We present a closed-form formula for the average degree of the graph corresponding to this Ammann A2 tiling. |
| title | Average Degree of Graphs Derived From The Ammann A2 Aperiodic Tiling |
| topic | Combinatorics Mathematical Physics |
| url | https://arxiv.org/abs/2408.07707 |