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  • 1 University of Magdeburg Faculty of Mathematics D-39106 Magdeburg Germany
  • 2 Chemnitz University of Technology Faculty of Mathematics D-09107 Chemnitz Germany
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Abstract  

A convex body K in ℝd is said to be reduced if the minimum width of each convex body properly contained in K is strictly smaller than the minimum width of K. We study the question of Lassak on the existence of reduced polytopes of dimension larger than two. We show that a pyramid of dimension larger than two with equal numbers of facets and vertices is not reduced. This generalizes the main result from [8].

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