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arXiv · 2509.05611

A note concerning frames and geometric inequalities

Jeff Ledford·Kevin Rivera-Ayala·Emma Schroeder
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Abstract

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.

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Jeff Ledford, Kevin Rivera-Ayala, Emma Schroeder. 2025-09-06. A note concerning frames and geometric inequalities. https://arxiv.org/abs/2509.05611

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