on a krater by Aristonothos, found at Caere and now in the Capitoline Museum.The first known systematic study of non-convex polygons in general was made by Thomas Bradwardine in the 14th century.In 1952, Geoffrey Colin Shephard generalized the idea of polygons to the complex plane, where each real dimension is accompanied by an imaginary one, to create complex polygons. The regular polygons were known to the ancient Greeks, with the pentagram, a non-convex regular polygon (star polygon), appearing as early as the 7th century B.C.

Polygons have been known since ancient times. These and other generalizations of polygons are described below. Geometrically two edges meeting at a corner are required to form an angle that is not straight (180°) otherwise, the line segments may be considered parts of a single edge however mathematically, such corners may sometimes be allowed.

A polygonal boundary may be allowed to intersect itself, creating star polygons. Mathematicians are often concerned only with the bounding closed polygonal chain and with simple polygons which do not self-intersect, and they often define a polygon accordingly. A polygon is a 2-dimensional example of the more general polytope in any number of dimensions.The basic geometrical notion of a polygon has been adapted in various ways to suit particular purposes. The interior of the polygon is sometimes called its body. These segments are called its edges or sides, and the points where two edges meet are the polygon's vertices (singular: vertex) or corners. In elementary geometry, a polygon /ˈpɒlɪɡɒn/ is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain or circuit. Some polygons of different kinds: open (excluding its boundary), bounding circuit only (ignoring its interior), closed (both), and self-intersecting with varying densities of different regions. Download this app named Polygon Wallpaper.✸Polygon Wallpaper✸įor other uses, see Polygon (disambiguation).

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