, Volume 18, Issue 1, pp 93-104

Enumerating Foldings and Unfoldings Between Polygons and Polytopes

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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.

Received: November 13, 2000 Final version received: August 21, 2001