2 problems

Let $\mathbf{P}$ be a totally sewn neighbourly $4$-polytope in $\mathbb{E}^4$, and let $\mathbf{o}$ be an interior point of $\mathbf{P}$. Bisztriczky's separation conjecture. There…

Let $\mathbf{K}$ be a convex body in $\mathbb{E}^d$, $d\geq 3$, and let $\mathbf{o}$ be an interior point. A face is the intersection of $\mathbf{K}$ with a supporting hyperplane.…