Construction of infinite series of closed locally minimal networks on convex polyhedra (Q1276034)
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scientific article; zbMATH DE number 1240189
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Construction of infinite series of closed locally minimal networks on convex polyhedra |
scientific article; zbMATH DE number 1240189 |
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Construction of infinite series of closed locally minimal networks on convex polyhedra (English)
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14 January 1999
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The main result of the paper is as follows. On the arbitral convex polyhedron either there is no nontrivial closed minimal network or there is an infinite series of nonequivalent locally minimal networks without boundaries. The author cites and discusses some corollaries of the Gauss-Bonnet theorem.
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convex polyhedra
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locally minimal networks
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Gauss-Bonnet theorem
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0.8175679445266724
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0.8138792514801025
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0.7695893049240112
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