Cephoids. Duality and reference vectors

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 389, Center for Mathematical Economics Working Papers from Center for Mathematical Economics, Bielefeld University

Abstract: A cephoid is a Minkowski sum of finitely many prisms in R^n. 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.

Keywords: Polytopes; Convex analysis; Minkowski sum; Cephoids; Duality (search for similar items in EconPapers)
Date: 2011-08-15
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Persistent link: https://EconPapers.repec.org/RePEc:bie:wpaper:389

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