Paper by Erik D. Demaine

Erik D. Demaine and Anna Lubiw, “A generalization of the source unfolding of convex polyhedra”, in Revised Papers from the 14th Spanish Meeting on Computational Geometry (EGC 2011), edited by Alberto Márquez, Pedro Ramos, and Jorge Urrutia, Lecture Notes in Computer Science, volume 7579, Alcalá de Henares, Spain, June 27–30, 2011, pages 185–199.

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.

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The paper is 15 pages.

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Related papers:
SunUnfolding_EGC2011 (A generalization of the source unfolding of convex polyhedra)

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Last updated June 13, 2024 by Erik Demaine.