Euclidean ball extremality conjecture for finite-facet volume approximation
Fix n∈Nn\in\mathbb{N}n∈N with n≥2n\geq 2n≥2 and N≥n+1N\geq n+1N≥n+1, and let KKK be a convex body in Rn\mathbb{R}^nRn. For a polytope PPP with at most NNN facets, write Δv(P,K)\Delta_v(P,K)Δv(P,K) for the symme…