Vertex-Unfoldings of Simplicial Polyhedra

Published 18 Jul 2001 in cs.CG and cs.DM | (0107023v1)

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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