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Cephoids. Duality and reference vectors

Author

Listed:
  • Pallaschke, Diethard

    (Center for Mathematical Economics, Bielefeld University)

  • Rosenmüller, Joachim

    (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.

Suggested Citation

  • Pallaschke, Diethard & Rosenmüller, Joachim, 2011. "Cephoids. Duality and reference vectors," Center for Mathematical Economics Working Papers 389, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:389
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    File URL: https://pub.uni-bielefeld.de/download/2315710/2319838
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