Paper by Erik D. Demaine

Reference:

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.

BibTeX

@InProceedings{BandUnfolding_CCCG2004,
  AUTHOR        = {Greg Aloupis and Erik D. Demaine and Stefan Langerman and
                   Pat Morin and Joseph O'Rourke and Ileana Streinu and
                   Godfried Toussaint},
  TITLE         = {Unfolding Polyhedral Bands},
  BOOKTITLE     = {Proceedings of the 16th Canadian Conference on Computational
                   Geometry (CCCG 2004)},
  bookurl       = {http://www.cs.concordia.ca/cccg/},
  ADDRESS       = {Montr\'eal, Qu\'ebec, Canada},
  MONTH         = {August 9--11},
  YEAR          = 2004,
  PAGES         = {60--63},

  papers        = {BandUnfolding_CGTA},
  award         = {Invited to special issue of \emph{Computational Geometry: Theory and Applications}.},
  dblp          = {https://dblp.org/rec/conf/cccg/AloupisDLMOST04},
  ee            = {http://www.cccg.ca/proceedings/2004/45.pdf},
  comments      = {This paper is also available from the
                   <A HREF="http://www.cs.concordia.ca/cccg/copy.html">
                   electronic proceedings</A> as
                   <A HREF="http://www.cs.concordia.ca/cccg/papers/45.pdf">http://www.cs.concordia.ca/cccg/papers/45.pdf</A>.},
  length        = {4 pages},
  unrefereed    = 1,
}

Abstract:

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.

Comments:

This paper is also available from the electronic proceedings as http://www.cs.concordia.ca/cccg/papers/45.pdf.

Length:

The paper is 4 pages.

Availability:

The paper is available in PostScript (242k) and gzipped PostScript (79k).

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BandUnfolding_CGTA (Edge-Unfolding Nested Polyhedral Bands)