Abstract
The separation number s(O, P) of a d-polytope with respect to a point O in the interior of P is the minimum number of hyperplanes necessary to strictly separate O from any facet of P. According to the Separation Conjecture, s(O, P) ≤ 2 d for d-dimensional convex polytopes in \({\mathbb{R}^d}\) . We verify the Conjecture for totally-sewn 4-polytopes with the property that the number of universal edges does not increase as the polytopes are constructed.
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Schedule a callMore From: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
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