Vol. 32, No. 3, 1970

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On the projections of a convex polytope

Rolf Schneider

Vol. 32 (1970), No. 3, 799–803
Abstract

It is shown that in the class of all centrally symmetric convex bodies in Ed 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
Authors
Rolf Schneider
Mathematisches Institut
Albert-Ludwigs-Universität Freiburg
Eckerstr. 1
D-79104 Freiburg im Breisgau
Germany