2 problems

Let $G\leqslant \operatorname{GL}(d,\mathbb{R})$ be a representation of a finite group, and let $P(G)$ denote its representation polytope. The combinatorial symmetry group consists…

Let $G\leqslant \operatorname{GL}(d,\mathbb{R})$ be finite and let $P(G,v)$ be a full-dimensional orbit polytope. Orbit-polytope symmetry conjecture. There is a point $v_0$ such th…