Integer Area Dissections of Lattice Polygons via a Non-Abelian Sperner's Lemma
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929511096909824 |
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| author | Abrams, Aaron Pommersheim, Jamie |
| author_facet | Abrams, Aaron Pommersheim, Jamie |
| contents | We give a simple and complete description of those convex lattice polygons in the plane that can be dissected into lattice triangles of integer area. A new version of Sperner's Lemma plays a central role. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_15178 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Integer Area Dissections of Lattice Polygons via a Non-Abelian Sperner's Lemma Abrams, Aaron Pommersheim, Jamie Combinatorics Geometric Topology 52B45, 52C05 We give a simple and complete description of those convex lattice polygons in the plane that can be dissected into lattice triangles of integer area. A new version of Sperner's Lemma plays a central role. |
| title | Integer Area Dissections of Lattice Polygons via a Non-Abelian Sperner's Lemma |
| topic | Combinatorics Geometric Topology 52B45, 52C05 |
| url | https://arxiv.org/abs/2409.15178 |