Paper by Erik D. Demaine

Erik D. Demaine, John Iacono, and Stefan Langerman, “Grid Vertex-Unfolding Orthostacks”, in Revised Selected Papers from the Japan Conference on Discrete and Computational Geometry (JCDCG 2004), Lecture Notes in Computer Science, volume 3742, Tokyo, Japan, October 8–11, 2004, pages 76–82.

An algorithm was presented in [1] for unfolding orthostacks into one piece without overlap by using arbitrary cuts along the surface. It was conjectured that orthostacks could be unfolded using cuts that lie in a plane orthogonal to a coordinate axis and containing a vertex of the orthostack. We prove the existence of a vertex-unfolding using only such cuts.

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The paper is 7 pages.

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Last updated June 13, 2024 by Erik Demaine.