Cephoids. Minkowski sums of prisms

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.

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Year of publication:	2004
Authors:	Pallaschke, Diethard ; Rosenmüller, Joachim
Publisher:	Universität Bielefeld
Subject:	Minkowski sum \| Convex polytopes \| Convex geometry \| Maximal facets

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Type of publication:	Other
Language:	English
Source:	BASE

Persistent link: https://www.econbiz.de/10009452473