A note concerning frames and geometric inequalities
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915483017543680 |
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| author | Ledford, Jeff Rivera-Ayala, Kevin Schroeder, Emma |
| author_facet | Ledford, Jeff Rivera-Ayala, Kevin Schroeder, Emma |
| contents | One may associate several frames to a given polytope, such as its collection of vertices, edges, or facet normal vectors. In this note, we use these frames to generate geometric inequalities for the simplex in $\mathbb{R}^d$ and polytopes with $d+2$ vertices in dimension 2 and 3. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05611 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note concerning frames and geometric inequalities Ledford, Jeff Rivera-Ayala, Kevin Schroeder, Emma Metric Geometry 41A99, 52B10, 52B11, 52B60 One may associate several frames to a given polytope, such as its collection of vertices, edges, or facet normal vectors. In this note, we use these frames to generate geometric inequalities for the simplex in $\mathbb{R}^d$ and polytopes with $d+2$ vertices in dimension 2 and 3. |
| title | A note concerning frames and geometric inequalities |
| topic | Metric Geometry 41A99, 52B10, 52B11, 52B60 |
| url | https://arxiv.org/abs/2509.05611 |