On the maximum area pentagon in a planar point set (Q1031721)
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scientific article; zbMATH DE number 5623833
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the maximum area pentagon in a planar point set |
scientific article; zbMATH DE number 5623833 |
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On the maximum area pentagon in a planar point set (English)
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30 October 2009
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A finite set of points \(P\) in the plane is said to be in convex position if it forms the set of vertices of a convex polygon. This work studies the ratio between the maximum area of convex pentagons with vertices in \(P\) and the area of the convex hull of \(P\) [cf. \textit{P. Erdős} and \textit{A. Soifer}, Geombinatorics 2, No.~4, 72--74 (1993; Zbl 0844.52002)].
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convex position
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convex hull
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affine transformation
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0.95347095
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