Accelerated scattering of convex polyhedra

The formulas for the minimum (min(n)) and maximum (max(n)) names in the classes of convex n-acra (i.e. n-vertex polyhedra) are found for any n. The asymptotic behaviour (as n -> infinity) for max(n+1)/max(n), min(n+1)/min(n), min(n+1)/max(n) and max(n)/min(n) is established. They characterize in detail the accelerated scattering of [min(n), max(n)] ranges on a real line.