Cyclotomic points on varieties and all rational $a^3b$-monotiles
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917163037622272 |
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| author | Liang, Jinjin Liao, Yixi Wang, Erxiao |
| author_facet | Liang, Jinjin Liao, Yixi Wang, Erxiao |
| contents | By computing all cyclotomic points on some algebraic varieties, we get an independent and efficient way to find all rational $a^3b$-monotiles for the sphere, thereby completing the classification of edge-to-edge monohedral quadrilateral tilings. Both of the previous classifications \cite{lw2} and \cite{cl} depended on many old works of different authors while quite a few typos and gaps were found. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19071 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cyclotomic points on varieties and all rational $a^3b$-monotiles Liang, Jinjin Liao, Yixi Wang, Erxiao Combinatorics 52C20, 05B45, 11R18, 11Y50, 14Q25 By computing all cyclotomic points on some algebraic varieties, we get an independent and efficient way to find all rational $a^3b$-monotiles for the sphere, thereby completing the classification of edge-to-edge monohedral quadrilateral tilings. Both of the previous classifications \cite{lw2} and \cite{cl} depended on many old works of different authors while quite a few typos and gaps were found. |
| title | Cyclotomic points on varieties and all rational $a^3b$-monotiles |
| topic | Combinatorics 52C20, 05B45, 11R18, 11Y50, 14Q25 |
| url | https://arxiv.org/abs/2512.19071 |