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Pak, Igor
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Metric combinatorics of convex polyhedra: cut loci and nonoverlapping unfoldings
Miller E., Pak I. Discrete & Computational Geometry 39(1): 339-388, 2008. Type: Article
This is a long, complex, and incredibly rich paper. It contains, in some sense, one main result: the source unfolding that unfolds the surface of a convex polyhedron
P
to a planar, nonoverlapping polygon
...
Apr 8 2010
Tile invariants: new horizons
Pak I. Theoretical Computer Science 303(2-3): 303-331, 2003. Type: Article
The tiling problem can best be described by thinking of the problem of covering a checkerboard with dominoes. One can generalize the problem by allowing other shapes of the board, changing it to have infinite dimensions, allowing for h...
...
Feb 24 2004
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