Polytopes of Maximal Volume Product

Matthew Alexander, Matthieu Fradelizi, Artem Zvavitch

For a convex body $K\subset {\mathbb{R}}^n$, let $K^z = \{y\in{\mathbb R}^n : \langle y-z, x-z\rangle\le 1, \mbox{\ for all\ } x\in K\}$ be the polar body of $K$ with respect to th…