Paper by Erik D. Demaine

Erik D. Demaine, David Eppstein, Jeff Erickson, George W. Hart, and Joseph O'Rourke, “Vertex-Unfolding of Simplicial Manifolds”, in Discrete Geometry: In Honor of W. Kuperberg's 60th Birthday, 2003, pages 215–228, Marcer Dekker Inc..

We present an algorithm to unfold any triangulated 2-manifold (in particular, any simplicial polyhedron) into a non-overlapping, connected planar layout in linear time. The manifold is cut only along its edges. The resulting layout is connected, but it may have a disconnected interior; the triangles are connected at vertices, but not necessarily joined along edges. We extend our algorithm to establish a similar result for simplicial manifolds of arbitrary dimension.

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The paper is 15 pages.

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Related papers:
VertexUnfolding_SoCG2002 (Vertex-Unfolding of Simplicial Manifolds)
VertexUnfolding2 (Vertex-Unfoldings of Simplicial Manifolds)

See also other papers by Erik Demaine.
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Last updated March 9, 2018 by Erik Demaine.