Zur Bestimmung konvexer Polytope durch die Inhalte ihrer Projektionen
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.
scientific article; zbMATH DE number 3866090