Intersecting all edges of convex polytopes by planes |
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Authors: | Meir Katchalski |
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Institution: | Department of mathematics, University of Alberta, Edmonton, Alb., Canada |
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Abstract: | A characterization theorem is given for 3-dimensional convex polytopes Q having the following property: There exists a polytope P, isomorphic to Q, all edges of which can be cut by a pair of planes that miss all its vertices. The result yields an affirmative solution of a conjecture of B. Grünbaum. |
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