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Small polygons with large area - MaRDI portal

Small polygons with large area (Q6123561)

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scientific article; zbMATH DE number 7827859
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Small polygons with large area
scientific article; zbMATH DE number 7827859

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    Small polygons with large area (English)
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    5 April 2024
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    By definition every polygon of unit diameter is small. The isodiametric problem consists in determining tha maximum area of an \(n\)-gon. This problem is unsolved if \(n\) is even and \(n\ge 14\). The authors improve the available lower bound in the unsolved case and conctruct the small polygon of maximum area for \(n=6, 8, 10, 12\).
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    polygons
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    isodiametric problem
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    maximal area
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