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

Computer Science – Computational Geometry

Scientific paper

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24 pages, 20 figuers, minor grammatical changes

Scientific paper

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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