Cephoids. Minkowski sums of prisms

Diethard Pallaschke and Joachim Rosenmüller
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Diethard Pallaschke: Center for Mathematical Economics, Bielefeld University
Joachim Rosenmüller: Center for Mathematical Economics, Bielefeld University

No 360, Center for Mathematical Economics Working Papers from Center for Mathematical Economics, Bielefeld University

Abstract: We discuss the structure of those polytopes in /R/n+ that are Minkowski sums of prisms. A prism is the convex hull of the origin and "n" positive multiples of the unit vectors. We characterize the defining outer surface of such polytopes by describing the shape of all maximal faces. As this shape resembles the view of a cephalopod, the polytope obtained is called a "cephoid". The general geometrical and combinatorial aspects of cephoids are exhibited.

Keywords: Maximal facets; Convex geometry; Convex polytopes; Minkowski sum (search for similar items in EconPapers)
Date: 2011-08-12
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Persistent link: https://EconPapers.repec.org/RePEc:bie:wpaper:360

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