Paper by Erik D. Demaine

Erik D. Demaine, David Eppstein, Jeff Erickson, George W. Hart, and Joseph O'Rourke, “Vertex-Unfoldings of Simplicial Polyhedra”, Technical Report 071, Smith College, July 2001.

We present two algorithms for unfolding the surface of any polyhedron, all of whose faces are triangles, to a nonoverlapping, connected planar layout. The surface is cut only along polyhedron edges. The layout is connected, but it may have a disconnected interior: the triangles are connected at vertices, but not necessarily joined along edges.

This paper is also available as arXiv:cs.CG/0107023 of the Computing Research Repository (CoRR).

The paper is 10 pages.

The paper is available in PostScript (491k) and gzipped PostScript (128k).
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Related papers:
VertexUnfolding2 (Vertex-Unfoldings of Simplicial Manifolds)

See also other papers by Erik Demaine.
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Last updated January 15, 2021 by Erik Demaine.