Folding and Unfolding in Computational Geometry
نویسنده
چکیده
Three open problems on folding/unfolding are discussed: (1) Can every convex polyhedron be cut along edges and unfolded at to a single nonoverlapping piece? (2) Given gluing instructions for a polygon, construct the unique 3D convex polyhedron to which it folds. (3) Can every planar polygonal chain be straightened?
منابع مشابه
A Survey of Folding and Unfolding in Computational Geometry
We survey results in a recent branch of computational geometry: folding and unfolding of linkages, paper, and polyhedra.
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