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CCCG
2010
15 years 23 days ago
Zipper unfoldings of polyhedral complexes
We explore which polyhedra and polyhedral complexes can be formed by folding up a planar polygonal region and fastening it with one zipper. We call the reverse process a zipper un...
Anna Lubiw, Erik D. Demaine, Martin L. Demaine, Ar...
DCG
2008
93views more  DCG 2008»
14 years 11 months ago
Metric Combinatorics of Convex Polyhedra: Cut Loci and Nonoverlapping Unfoldings
Let S be the boundary of a convex polytope of dimension d + 1, or more generally let S be a convex polyhedral pseudomanifold. We prove that S has a polyhedral nonoverlapping unfold...
Ezra Miller, Igor Pak