Paper by Erik D. Demaine

Greg Aloupis, Erik D. Demaine, Stefan Langerman, Pat Morin, Joseph O'Rourke, Ileana Streinu, and Godfried Toussaint, “Unfolding Polyhedral Bands”, in Proceedings of the 16th Canadian Conference on Computational Geometry (CCCG 2004), Montréal, Québec, Canada, August 9–11, 2004, pages 60–63.

A band is defined as the intersection of the surface of a convex polyhedron with the space between two parallel planes, as long as this space does not contain any vertices of the polyhedron. An unfolding of a given band is obtained by cutting along exactly one edge and placing all faces of the band into the plane, without causing intersections. We prove that for a specific type of band there exists an appropriate edge to cut so that the band may be unfolded.

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The paper is 4 pages.

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Related papers:
BandUnfolding_CGTA (Edge-Unfolding Nested Polyhedral Bands)

See also other papers by Erik Demaine.
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Last updated February 26, 2024 by Erik Demaine.