A Generalization of the Source Unfolding of Convex Polyhedra

  • Erik D. Demaine
  • Anna Lubiw
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7579)


We present a new method for unfolding a convex polyhedron into one piece without overlap, based on shortest paths to a convex curve on the polyhedron. Our “sun unfoldings” encompass source unfolding from a point, source unfolding from an open geodesic curve, and a variant of a recent method of Itoh, O’Rourke, and Vîlcu.


Short Path Line Segment Negative Curvature Convex Polyhedron Convex Curve 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Erik D. Demaine
    • 1
  • Anna Lubiw
    • 2
  1. 1.MIT Computer Science and Artificial Intelligence LaboratoryCambridgeUSA
  2. 2.David R. Cheriton School of Computer ScienceUniversity of WaterlooCanada

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