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.
- This paper is also available from the electronic proceedings as http://www.cs.concordia.ca/cccg/papers/45.pdf.
- The paper is 4 pages.
- The paper is available in PostScript (242k) and gzipped PostScript (79k).
- See information on file formats.
- [Google Scholar search]
- Related papers:
- BandUnfolding_CGTA (Edge-Unfolding Nested Polyhedral Bands)
See also other papers by Erik Demaine.
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Last updated September 18, 2020 by