Enumerating Foldings and Unfoldings between Polygons and Polytopes
Erik D. Demaine, Martin L. Demaine, Anna Lubiw, Joseph O’Rourke · arXiv (Cornell University) · 2001
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.