On the Maximal Volume of Convex Bodies with Few Vertices

Abstract The problem of determining the largest volume of a ( d + 2)-point set in E d of unit diameter is settled. The extremal polytopes are described completely.

[1]  K. Reinhardt.  Extremale Polygone gegebenen Durchmessers. , 1922 .

[2]  Ronald L. Graham,et al.  The Largest Small Hexagon , 1975, J. Comb. Theory, Ser. A.