Corpus ID: 1748320

Examples, Counterexamples, and Enumeration Results for Foldings and Unfoldings between Polygons and Polytopes

@article{Demaine2000ExamplesCA,
  title={Examples, Counterexamples, and Enumeration Results for Foldings and Unfoldings between Polygons and Polytopes},
  author={E. Demaine and Martin L. Demaine and A. Lubiw and J. O'Rourke},
  journal={ArXiv},
  year={2000},
  volume={cs.CG/0007019}
}
  • E. Demaine, Martin L. Demaine, +1 author J. O'Rourke
  • Published 2000
  • Mathematics, Computer Science
  • ArXiv
  • We investigate how to make the surface of a convex polyhedron (a polytope) by folding up a polygon and gluing its perimeter shut, and the reverse process of cutting open a polytope and unfolding it to a polygon. We explore basic enumeration questions in both directions: Given a polygon, how many foldings are there? Given a polytope, how many unfoldings are there to simple polygons? Throughout we give special attention to convex polygons, and to regular polygons. We show that every convex… CONTINUE READING
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