Arbeitspapier
Cephoids: Minkowski sums of prisms
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.
- Language
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Englisch
- Bibliographic citation
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Series: Working Papers ; No. 360
- Classification
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Wirtschaft
- Event
-
Geistige Schöpfung
- (who)
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Pallaschke, Diethard
Rosenmüller, Joachim
- Event
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Veröffentlichung
- (who)
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Bielefeld University, Institute of Mathematical Economics (IMW)
- (where)
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Bielefeld
- (when)
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2004
- Handle
- URN
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urn:nbn:de:hbz:361-6266
- Last update
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10.03.2025, 11:45 AM CET
Data provider
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ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Arbeitspapier
Associated
- Pallaschke, Diethard
- Rosenmüller, Joachim
- Bielefeld University, Institute of Mathematical Economics (IMW)
Time of origin
- 2004
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Edgeworth Expansions for Multivariate Random Sums
Approximate Convexity of Average Sums of Sets in Normed Linear Spaces
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