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Vertex-Unfoldings of Simplicial Polyhedra

Erik D. Demaine·David Eppstein·Jeff Erickson·George W. Hart·Joseph O'Rourke
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Abstract

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.

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Erik D. Demaine, David Eppstein, Jeff Erickson, George W. Hart, Joseph O'Rourke. 2001-07-18. Vertex-Unfoldings of Simplicial Polyhedra. https://arxiv.org/abs/cs/0107023

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