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CCCG
2006

Local Overlaps In Special Unfoldings Of Convex Polyhedra

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Local Overlaps In Special Unfoldings Of Convex Polyhedra
We define a notion of local overlaps in polyhedron unfoldings. We use this concept to construct convex polyhedra for which certain classes of edge unfoldings contain overlaps, thereby negatively resolving some open conjectures. In particular, we construct a convex polyhedron for which every shortest path unfolding contains an overlap. We also present a convex polyhedron for which every steepest edge unfolding contains an overlap. We conclude by analyzing a broad class of unfoldings and again find a convex polyhedron for which they all contain overlaps.
Brendan Lucier
Added 30 Oct 2010
Updated 30 Oct 2010
Type Conference
Year 2006
Where CCCG
Authors Brendan Lucier
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