Cephoids: duality and reference vectors

A cephoid is a Minkowski sum of finitely many prisms in Rⁿ. We discuss the concept of duality for cephoids. Also, we show that the reference number uniquely defines a face. Based on these results, we exhibit two graphs on the outer surface of a cephoid. The first one corresponds to a maximal face and its reference system. The second graph describes the generalized tentacles.

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Year of publication:	2007
Authors:	Pallaschke, Diethard ; Rosenmüller, Joachim
Publisher:	Bielefeld : Bielefeld University, Institute of Mathematical Economics (IMW)
Subject:	Matrizenrechnung \| Theorie \| Convex analysis \| Minkowski sum \| Polytopes \| Cephoids \| Duality

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Series:	Working Papers ; 389
Type of publication:	Book / Working Paper
Type of publication (narrower categories):	Working Paper
Language:	English
Other identifiers:	572362420 [GVK] hdl:10419/43821 [Handle]
Source:	EconStor

Persistent link: https://www.econbiz.de/10010272604