Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/43784 
Year of Publication: 
2004
Series/Report no.: 
Working Papers No. 360
Publisher: 
Bielefeld University, Institute of Mathematical Economics (IMW), Bielefeld
Abstract: 
We discuss the structure of those polytopes in Rⁿ+ 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.
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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