Non-orientable Nurikabe
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910232739840000 |
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| author | Breen, Joseph Copeland, Emma |
| author_facet | Breen, Joseph Copeland, Emma |
| contents | We study Nurikabe puzzles on non-orientable surfaces. Specifically, we propose two versions of non-orientable Nurikabe and investigate their combinatorics on Möbius strips, Klein bottles, and projective planes of size $1\times n$. Our results establish new connections among the OEIS sequences A101946, A213387, A123203, and A001045 (the Jacobsthal sequence). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12612 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-orientable Nurikabe Breen, Joseph Copeland, Emma Combinatorics 05A19 We study Nurikabe puzzles on non-orientable surfaces. Specifically, we propose two versions of non-orientable Nurikabe and investigate their combinatorics on Möbius strips, Klein bottles, and projective planes of size $1\times n$. Our results establish new connections among the OEIS sequences A101946, A213387, A123203, and A001045 (the Jacobsthal sequence). |
| title | Non-orientable Nurikabe |
| topic | Combinatorics 05A19 |
| url | https://arxiv.org/abs/2506.12612 |