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• W2102516313 abstract "We establish that certain classes of simple, closed, polygonal curves on the surface of a convex polyhedron develop in the plane without overlap. Our primary proof technique shows that such curves ''live on a cone,'' and then develops the curves by cutting the cone along a ''generator'' and flattening the cone in the plane. The conical existence results support a type of source unfolding of the surface of a polyhedron, described elsewhere." @default.
• W2102516313 created "2016-06-24" @default.
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• W2102516313 date "2014-02-01" @default.
• W2102516313 modified "2023-10-16" @default.
• W2102516313 title "Development of curves on polyhedra via conical existence" @default.
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• W2102516313 doi "https://doi.org/10.1016/j.comgeo.2013.08.010" @default.
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