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Reconstruction of polytopes by convex pastings
Published online by Cambridge University Press: 26 February 2010
Abstract
Consider a convex polytope X and a family of convex sets, satisfying a given property P. Moreover, assume that
is closed under operations of cutting and convex pasting along hyperplanes. Necessary and sufficient conditions are given to have
. As a consequence, it follows that, if all simplices or small enough simplices have the property in question, then X also has that property.
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- Copyright © University College London 2000