On the projections of a convex polytope

Rolf Schneider

Vol. 32 (1970), No. 3, 799–803

DOI: 10.2140/pjm.1970.32.799

Abstract

It is shown that in the class of all centrally symmetric convex bodies in E^d a polytope is uniquely determined, up to a translation, by its brightness (or certain similar functionals) in a suitable, though “arbitrarily small”, set of directions.

Mathematical Subject Classification

Primary: 52.10

Milestones

Received: 14 July 1969

Published: 1 March 1970