Zur Bestimmung konvexer Polytope durch die Inhalte ihrer Projektionen
type: Item
instance of: scholarly article
title: Zur Bestimmung konvexer Polytope durch die Inhalte ihrer Projektionen
zbMATH Open document ID: 0544.52005
author: Horst Martini
published in: Beiträge zur Algebra und Geometrie
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/138279
review text: 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.
Mathematics Subject Classification ID: 52Bxx
zbMATH DE Number: 3866090
zbMATH Keywords: convex polytope
zbMATH Keywords: projection
zbMATH Keywords: projection body
zbMATH Keywords: zonotope
reviewed by: Rolf Schneider
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3866090