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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2304.03627 |
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| _version_ | 1866929375620890624 |
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| author | Hamm, Girtrude |
| author_facet | Hamm, Girtrude |
| contents | We introduce the multi-width of a lattice polytope and use this to classify and count all lattice tetrahedra with multi-width $(1,w_2,w_3)$. The approach used in this classification can be extended into a computer algorithm to classify lattice tetrahedra of any given multi-width. We use this to classify tetrahedra with multi-width $(2,w_2,w_3)$ for small $w_2$ and $w_3$ and make conjectures about the function counting lattice tetrahedra of any multi-width. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_03627 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Classification of width 1 lattice tetrahedra by their multi-width Hamm, Girtrude Combinatorics We introduce the multi-width of a lattice polytope and use this to classify and count all lattice tetrahedra with multi-width $(1,w_2,w_3)$. The approach used in this classification can be extended into a computer algorithm to classify lattice tetrahedra of any given multi-width. We use this to classify tetrahedra with multi-width $(2,w_2,w_3)$ for small $w_2$ and $w_3$ and make conjectures about the function counting lattice tetrahedra of any multi-width. |
| title | Classification of width 1 lattice tetrahedra by their multi-width |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2304.03627 |