Editing Convex polygon (section)

{{Short description|Polygon that is the boundary of a convex set}}
[[File:Pentagon.svg|right|thumb|190px|An example of a convex polygon: a [[regular polygon|regular]] pentagon.]]

In [[geometry]], a '''convex polygon''' is a [[polygon]] that is the [[Boundary (topology)|boundary]] of a [[convex set]]. This means that the [[line segment]] between two points of the polygon is contained in the union of the interior and the boundary of the polygon. In particular, it is a [[simple polygon]] (not [[self-intersecting polygon|self-intersecting]]).<ref>[http://www.mathopenref.com/polygonconvex.html Definition and properties of convex polygons with interactive animation.]</ref>  Equivalently, a polygon is convex if every [[line (geometry)|line]] that does not contain any edge intersects the polygon in at most two points.