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Unfolding Orthogonal Terrains (0707.0610v4)
Published 4 Jul 2007 in cs.CG
Abstract: It is shown that every orthogonal terrain, i.e., an orthogonal (right-angled) polyhedron based on a rectangle that meets every vertical line in a segment, has a grid unfolding: its surface may be unfolded to a single non-overlapping piece by cutting along grid edges defined by coordinate planes through every vertex.