The minimum area of convex lattice \(n\)-gons (Q558233)
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scientific article; zbMATH DE number 2186319
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The minimum area of convex lattice \(n\)-gons |
scientific article; zbMATH DE number 2186319 |
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The minimum area of convex lattice \(n\)-gons (English)
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5 July 2005
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Let \(A(n)\) be the minimum area of convex lattice polygons with \(n\) vertices. It is proved that \(\lim A(n)/n^3\) exists. The value of the limit is the minimum of finitely many (about \(10^{10}\)) extremal problems.
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convex lattice \(n\)-gon
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minimum area
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asymptotical behaviour
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