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convex n-gon - Übersetzung nach Englisch
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![A [[bagplot]]. The outer shaded region is the convex hull, and the inner shaded region is the 50% Tukey depth contour.](https://commons.wikimedia.org/wiki/Special:FilePath/Bagplot.png?width=200 "A [[bagplot]]. The outer shaded region is the convex hull, and the inner shaded region is the 50% Tukey depth contour.")
![An [[oloid]], the convex hull of two circles in 3d space](https://commons.wikimedia.org/wiki/Special:FilePath/Oloid structure.svg?width=200 "An [[oloid]], the convex hull of two circles in 3d space")
![Partition of seven points into three subsets with intersecting convex hulls, guaranteed to exist for any seven points in the plane by [[Tverberg's theorem]]](https://commons.wikimedia.org/wiki/Special:FilePath/Tverberg heptagon.svg?width=200 "Partition of seven points into three subsets with intersecting convex hulls, guaranteed to exist for any seven points in the plane by [[Tverberg's theorem]]")
![The [[witch of Agnesi]]. The points on or above the red curve provide an example of a closed set whose convex hull is open (the open [[upper half-plane]]).](https://commons.wikimedia.org/wiki/Special:FilePath/Versiera007.svg?width=200 "The [[witch of Agnesi]]. The points on or above the red curve provide an example of a closed set whose convex hull is open (the open [[upper half-plane]]).")
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Definition
Wikipedia
In mathematics, a generalized polygon is an incidence structure introduced by Jacques Tits in 1959. Generalized n-gons encompass as special cases projective planes (generalized triangles, n = 3) and generalized quadrangles (n = 4). Many generalized polygons arise from groups of Lie type, but there are also exotic ones that cannot be obtained in this way. Generalized polygons satisfying a technical condition known as the Moufang property have been completely classified by Tits and Weiss. Every generalized n-gon with n even is also a near polygon.
