Enumerating Foldings and Unfoldings Between Polygons and Polytopes

@article{Demaine2002EnumeratingFA,
  title={Enumerating Foldings and Unfoldings Between Polygons and Polytopes},
  author={E. Demaine and Martin L. Demaine and A. Lubiw and J. O'Rourke},
  journal={Graphs and Combinatorics},
  year={2002},
  volume={18},
  pages={93-104}
}
  • E. Demaine, Martin L. Demaine, +1 author J. O'Rourke
  • Published 2002
  • Computer Science, Mathematics
  • Graphs and Combinatorics
  • 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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    Department of Mathematics, Faculty of Education, Ehime University, Japan
    • 2000