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The volume of duals and sections of polytopes

Part of: Polytopes and polyhedra

Published online by Cambridge University Press:  26 February 2010

P. Filliman
P. Filliman
Affiliation:
Department of Mathematics, Western Washington University, Bellingham, WA 98225, USA.
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Abstract.

An explicit formula is given for the volume of the polar dual of a polytope. Using this formula, we prove a geometric criterion for critical (w.r.t. volume) sections of a regular simplex.

MSC classification

Secondary: 52B11: $n$-dimensional polytopes
Type
Research Article
Information
Mathematika , Volume 39 , Issue 1 , June 1992 , pp. 67 - 80
Copyright
Copyright © University College London 1992

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