In geometry a polygon ( /ˈpɒlɪɡɒn/) is a flat shape consisting of straight lines that are joined to form a closed chain or circuit.

A polygon is traditionally a plane figure that is bounded by a closed path, composed of a finite sequence of straight line segments (i.e., by a closed polygonal chain). These segments are called its edges or sides, and the points where two edges meet are the polygon's vertices (singular: vertex) or corners. An n-gon is a polygon with n sides. The interior of the polygon is sometimes called its body. A polygon is a 2-dimensional example of the more general polytope in any number of dimensions.

The word "polygon" derives from the Greek πολύς (polús) "much", "many" and γωνία (gōnía) "corner", "angle", or γόνυ (gónu) "knee".

The basic geometrical notion has been adapted in various ways to suit particular purposes. Mathematicians are often concerned only with the closed polygonal chain and with simple polygons which do not self-intersect, and may define a polygon accordingly. Geometrically two edges meeting at a corner are required to form an angle that is not straight (180°); otherwise, the line segments will be considered parts of a single edge – however mathematically, such corners may sometimes be allowed. In fields relating to computation, the term polygon has taken on a slightly altered meaning derived from the way the shape is stored and manipulated in computer graphics (image generation). Some other generalizations of polygons are described below.

Read more about Polygon:  Generalizations of Polygons, Naming Polygons, History, Polygons in Nature, Polygons in Computer Graphics

Other articles related to "polygons, polygon":

Map Overlay And Statistical System - Architecture
... The vector date could be points, lines, or polygons ... MOSS utilized what at the time was referred to as a "full polygon" representation ... In a full polygon representation, each polygon vertex shared with another polygon ...
Moufang Polygon
... In mathematics, a Moufang polygon, named after Ruth Moufang, is an irreducible building of rank two that admits the action of root groups ... theorem, proved independently by Tits and Weiss, showed that a Moufang polygon must be a generalized 3-gon, 4-gon, 6-gon, or 8-gon, so the purpose of the aforementioned book was to ...
Shoelace Formula
... algorithm, is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by ordered pairs in the plane ... corresponding coordinates to find the area encompassing the polygon, and subtracts it from the surrounding polygon to find the area of the polygon within ... cross-multiplying for the coordinates making up the polygon, like tying shoelaces ...
Polygons in Computer Graphics
... A polygon in a computer graphics (image generation) system is a two-dimensional shape that is modelled and stored within its database ... A polygon can be colored, shaded and textured, and its position in the database is defined by the coordinates of its vertices (corners) ... Naming conventions differ from those of mathematicians A simple polygon does not cross itself ...
List Of Symbolic Stars - In Geometry
... Star polygon, a star drawn with a number of lines equal to the number of points Pentagram, a five-pointed star polygon Five-pointed star, a pentagram with ...