Martini, Horst Zur Bestimmung konvexer Polytope durch die Inhalte ihrer Projektionen. (German) Zbl 0544.52005 Beitr. Algebra Geom. 18, 75-85 (1984). 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 Cited in 4 Documents MSC: 52Bxx Polytopes and polyhedra Keywords:convex polytope; projection; projection body; zonotope PDFBibTeX XMLCite \textit{H. Martini}, Beitr. Algebra Geom. 18, 75--85 (1984; Zbl 0544.52005) Full Text: EuDML