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On a class of generalized simplices

Part of: Polytopes and polyhedra

Published online by Cambridge University Press:  26 February 2010

T. Bisztriczky
T. Bisztriczky
Affiliation:
Department of Mathematics and Statistics, The University of Calgary, Calgary, Alberta, CanadaT2N 1N4.
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Abstract

We recall that if S is a d - simplex then each facet and each vertex figure of S is a (d − 1)-simplex and S is a self-dual. We introduce a d-polytope P, called a d-multiplex, with the property that each facet and each vertex figure of P is a (d − 1)-multiplex and P is self-dual.

MSC classification

Secondary: 52B12: Special polytopes (linear programming, centrally symmetric, etc.)
Type
Research Article
Information
Mathematika , Volume 43 , Issue 2 , December 1996 , pp. 274 - 285
Copyright
Copyright © University College London 1996

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References

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