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December 4th, 2014, 10:11 AM   #1
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Pivot Point on Polyhedron Problem

A point P in the interior of a convex polyhedron in Euclidean space is called a
pivot point of the polyhedron if every line through P contains exactly 0 or 2 vertices of the polyhedron. How can I prove the maximum number of pivot points that such a polyhedron can contain.
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