Convex and Concave Polygons
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In geometry, a polygon can be either convex or concave.
A convex polygon is a polygon with the following properties:
- Every internal angle is less than 180 degrees.
- Every line segment between two vertices of the polygon does not go exterior to the polygon (i.e., it remains inside or on the boundary of the polygon).
- If any vertical or horizontal axis intersects it at most twice.
A polygon that is not convex is called concave. A concave polygon will always have an interior angle with a measure that is greater than 180 degrees.
It is possible to cut a concave polygon into a set of convex polygons.