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A note concerning frames and geometric inequalities (2509.05611v1)
Published 6 Sep 2025 in math.MG
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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