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. 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. The basic geometrical notion has been adapted in various ways to suit particular purposes. (The word γόνυ gónu, with a short o, is unrelated and means "knee".) Today a polygon is more usually understood in terms of sides. The word "polygon" derives from the Greek πολύς ( polús) "much", "many" and γωνία ( gōnía) "corner" or "angle". A polygon is a 2-dimensional example of the more general polytope in any number of dimensions. 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 geometry a polygon ( / ˈ p ɒ l ɪ ɡ ɒ n /) is a flat shape consisting of straight lines that are joined to form a closed chain or circuit.Ī 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).
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