David Eppstein - Publications

Publications with Andrea Mantler

• Ununfoldable polyhedra.
  M. Bern, E. Demaine, D. Eppstein, E. Kuo, A. Mantler, and J. Snoeyink.
  arXiv:cs.CG/9908003.
  Tech. rep. CS-99-04, Univ. of Waterloo, Dept. of Computer Science, Aug. 1999.
  11th Canad. Conf. Comp. Geom., 1999.
  4th CGC Worksh. Computational Geometry, Johns Hopkins Univ., 1999.
  Comp. Geom. Theory & Applications (special issue for 4th CGC Worksh.) 24 (2): 51–62, 2003.

  We prove the existence of polyhedra in which all faces are convex, but which can not be cut along edges and folded flat.

  Note variations in different versions: the CCCG one was only Bern, Demain, Eppstein, and Kuo, and the WCG one had the title "Ununfoldable polyhedra with triangular faces". The journal version uses the title "Ununfoldable polyhedra with convex faces" and the combined results from both conference versions.