# Polygon

In geometry, a **polygon** (/ˈpɒlɪɡɒn/) is a plane figure that is described by a finite number of straight line segments connected to form a closed *polygonal chain* (or *polygonal circuit*). The bounded plane region, the bounding circuit, or the two together, may be called a polygon.

The segments of a polygonal circuit are called its *edges* or *sides*. The points where two edges meet are the polygon's *vertices* (singular: vertex) or *corners*. The interior of a solid polygon is sometimes called its *body*. An ** n-gon** is a polygon with

*n*sides; for example, a triangle is a 3-gon.

A simple polygon is one which does not intersect itself. Mathematicians are often concerned only with the bounding polygonal chains of simple polygons and they often define a polygon accordingly. A polygonal boundary may be allowed to cross over itself, creating star polygons and other self-intersecting polygons.

A polygon is a 2-dimensional example of the more general polytope in any number of dimensions. There are many more generalizations of polygons defined for different purposes.