A note concerning frames and geometric inequalities
Jeff Ledford, Kevin Rivera-Ayala, Emma Schroeder
Published: 2025/9/6
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.