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Existence of a polyhedron which does not have a non-overlapping pseudo-edge unfolding

Published 14 Jun 2008 in cs.CG | (0806.2360v3)

Abstract: There exists a surface of a convex polyhedron P and a partition L of P into geodesic convex polygons such that there are no connected "edge" unfoldings of P without self-intersections (whose spanning tree is a subset of the edge skeleton of L).

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