Editing Simple polygon (section)

==Special cases==
Every [[convex polygon]] is a simple polygon. Another important class of simple polygons are the [[star-shaped polygon]]s, the polygons that have a point (interior or on their boundary) from which every point is visible.{{r|preparata-shamos}}

A [[monotone polygon]], with respect to a straight line <math>L</math>, is a polygon for which every line perpendicular to <math>L</math> intersects the interior of the polygon in a connected set. Equivalently, it is a polygon whose boundary can be partitioned into two monotone polygonal chains, subsequences of edges whose vertices, when projected perpendicularly onto <math>L</math>, have the same order along <math>L</math> as they do in the chain.{{r|preparata-supowit}}