Unfolding polyhedral bands
Greg Aloupis, Erik D. Demaine, Stefan Langerman, Pat Morin, Joseph O’Rourke, Ileana Streinu, Godfried Toussaint · 2004
A band is de ned 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 speci c type of band there exists an appropriate edge to cut so that the band may be unfolded.