Karl Jones: Created page with "In geometry, a '''polygon''' is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a polygonal..."

2016-05-02T15:01:54Z

Created page with "In geometry, a '''polygon''' is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a polygonal..."

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In [[geometry]], a '''polygon''' is a [[Plane (geometry)|plane figure]] that is bounded by a finite chain of straight [[line segments]] closing in a loop to form a [[polygonal chain]] (a closed chain or circuit).

== Description ==

These segments are called its edges or sides.

The points where two edges meet are the polygon's vertices (singular: vertex) or corners.

The interior of the polygon is sometimes called its body.

An n-gon is a polygon with n sides.

A polygon is a 2-dimensional example of the more general polytope in any number of dimensions.

One type of polygon is a triangle and there are many others.

== Applications ==

The basic geometrical notion of a polygon has been adapted in various ways to suit particular purposes.

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 polygonal boundary may be allowed to intersect itself, creating star polygons.

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.

== See also ==

* [[Boolean operations on polygons]]
* [[Complete graph]]
* [[Constructible polygon]]
* [[Cyclic polygon]]
* [[Geometric shape]]
* [[Golygon]]
* [[Hexagon]]
* [[Polyform]]
* [[Polygon soup]]
* [[Polygon triangulation]]
* [[Synthetic geometry]]
* [[Tiling]]
* [[Tiling puzzle]]

== External links ==

* [https://en.wikipedia.org/wiki/Polygon Polygon] @ Wikipedia

[[Category:Geometry]]
[[Category:Polygons]]

Polygon - Revision history

Karl Jones: Created page with "In geometry, a '''polygon''' is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a polygonal..."