Development of curves on polyhedra via conical existence (Q390109)
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scientific article; zbMATH DE number 6249140
| Language | Label | Description | Also known as |
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| English | Development of curves on polyhedra via conical existence |
scientific article; zbMATH DE number 6249140 |
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Development of curves on polyhedra via conical existence (English)
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22 January 2014
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In this paper, the authors show that certain families of simple, closed curves on the boundary of a convex polyhedron, develop in the plane without overlap. They will be curves \(C\) which live on a cone, and satisfy particular conditions on the total surface angle incident to points of the curve at the left/right side of \(C\). The development is then made by cutting the cone along one of its generators and flattening it on the plane.
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polyhedra
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cones
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unfolding
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curve development
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