A simple polygon is a closed curve in the Euclidean plane consisting of straight line segments, meeting end-to-end to form a polygonal chain. Two line segments meet at every endpoint, and there are no other points of … See more

Every convex polygon is a simple polygon. Another important class of simple polygons are the star-shaped polygons, the polygons that have a point (interior or on their boundary) … See more

According to the Riemann mapping theorem, any simply connected open subset of the plane can be conformally mapped onto … See more

• Weisstein, Eric W. "Simple polygon". MathWorld. See more

The internal angle of a simple polygon, at one of its vertices, is the angle spanned by the interior of the polygon at that vertex. A vertex is convex if its internal angle is less than See more

In computational geometry, several important computational tasks involve inputs in the form of a simple polygon.
• Point in polygon testing involves determining, for a … See more

• Carpenter's rule problem, on continuous motion of a simple polygon into a convex polygon
• Erdős–Nagy theorem, a process of reflecting pockets of a non-convex simple polygon to make it convex
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