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Zur Bestimmung konvexer Polytope durch die Inhalte ihrer Projektionen. (German) Zbl 0544.52005

Let Z be a zonotope with centre 0 in Euclidean space. The author discusses some elementary properties of the class P(Z) of polytopes with projection body Z. For example: If Z is not a parallelotope, then P(Z) contains uncountably many different translation classes; P(Z) contains, up to translation, only finitely many (if any) polytopes without a pair of parallel facets.
Reviewer: R.Schneider

MSC:

52Bxx Polytopes and polyhedra
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