Cephoids. Minkowski sums of prisms

Pallaschke D, Rosenmüller J (2004) Working Papers. Institute of Mathematical Economics; 360.
Bielefeld: Universität Bielefeld.

Diskussionspapier | Veröffentlicht | Englisch
 
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Pallaschke, Diethard; Rosenmüller, JoachimUniBi
Abstract / Bemerkung
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.
Stichworte
Maximal facets; Convex geometry; Convex polytopes; Minkowski sum
Erscheinungsjahr
2004
Band
360
ISSN
0931-6558
Page URI
https://pub.uni-bielefeld.de/record/2315422

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Pallaschke D, Rosenmüller J. Cephoids. Minkowski sums of prisms. Working Papers. Institute of Mathematical Economics. Vol 360. Bielefeld: Universität Bielefeld; 2004.
Pallaschke, D., & Rosenmüller, J. (2004). Cephoids. Minkowski sums of prisms (Working Papers. Institute of Mathematical Economics, 360). Bielefeld: Universität Bielefeld.
Pallaschke, D., and Rosenmüller, J. (2004). Cephoids. Minkowski sums of prisms. Working Papers. Institute of Mathematical Economics, 360, Bielefeld: Universität Bielefeld.
Pallaschke, D., & Rosenmüller, J., 2004. Cephoids. Minkowski sums of prisms, Working Papers. Institute of Mathematical Economics, no.360, Bielefeld: Universität Bielefeld.
D. Pallaschke and J. Rosenmüller, Cephoids. Minkowski sums of prisms, Working Papers. Institute of Mathematical Economics, vol. 360, Bielefeld: Universität Bielefeld, 2004.
Pallaschke, D., Rosenmüller, J.: Cephoids. Minkowski sums of prisms. Working Papers. Institute of Mathematical Economics, 360. Universität Bielefeld, Bielefeld (2004).
Pallaschke, Diethard, and Rosenmüller, Joachim. Cephoids. Minkowski sums of prisms. Bielefeld: Universität Bielefeld, 2004. Working Papers. Institute of Mathematical Economics. 360.
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