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Convex bodies with non-convex cross-section bodies

Part of:Polytopes and polyhedra

Published online by Cambridge University Press:  26 February 2010

Ulrich Brehm
Ulrich Brehm
Affiliation:
Technische Universität Dresden, Fachrichtung Mathematik, Institut für Geometric01062 Dresden, Germany. e-mail: brehm@math.tu-dresden.de
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Abstract

It is shown that the regular n-dimensional simplex has a non-convex cross-section body for all n ≥ 4.

MSC classification

Secondary:52B11: $n$-dimensional polytopes

Information

Type
Research Article
Information
Mathematika , Volume 46 , Issue 1 , June 1999, pp. 127 - 129
Copyright
Copyright © University College London 1999

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