Enumerating Foldings and Unfoldings between Polygons and Polytopes

Published 18 Jul 2001 in cs.CG and cs.DM | (0107024v1)

Abstract: We pose and answer several questions concerning the number of ways to fold a polygon to a polytope, and how many polytopes can be obtained from one polygon; and the analogous questions for unfolding polytopes to polygons. Our answers are, roughly: exponentially many, or nondenumerably infinite.

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