Enumerating Foldings and Unfoldings Between Polygons and Polytopes

E. Demaine,M. Demaine,A. Lubiw,J. O'Rourke

Published 2001 in Graphs Comb.

ABSTRACT

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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