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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2404.19621 |
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| _version_ | 1866929331739033600 |
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| author | Dong, Shiying |
| author_facet | Dong, Shiying |
| contents | This paper first discusses the size and orientation of hat supertiles. Fibonacci and Lucas sequences, as well as a third integer sequence linearly related to the Lucas sequence are involved. The result is then generalized to any aperiodic tile in the hat family. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_19621 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fibonacci and Lucas Sequences in Aperiodic Monotile Supertiles Dong, Shiying Combinatorics Discrete Mathematics 05B45 G.2.1 This paper first discusses the size and orientation of hat supertiles. Fibonacci and Lucas sequences, as well as a third integer sequence linearly related to the Lucas sequence are involved. The result is then generalized to any aperiodic tile in the hat family. |
| title | Fibonacci and Lucas Sequences in Aperiodic Monotile Supertiles |
| topic | Combinatorics Discrete Mathematics 05B45 G.2.1 |
| url | https://arxiv.org/abs/2404.19621 |