2 problems

Fix $n\in\mathbb{N}$ with $n\geq 2$ and $N\geq n+1$, and let $K$ be a convex body in $\mathbb{R}^n$. For a polytope $P$ with at most $N$ facets, write $\Delta_v(P,K)$ for the symme…

Let $D_n$ be the Euclidean unit ball in $\mathbb{R}^n$, let $N$ be a positive integer, and let $P^b_{n,N}$ be a polytope with at most $N$ facets that is best-approximating for…