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Concept
Convex polygon
Summary
In geometry, a convex polygon is a polygon that is the 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). Equivalently, a polygon is convex if every line that does not contain any edge intersects the polygon in at most two points.
A strictly convex polygon is a convex polygon such that no line contains two of its edges. In a convex polygon, all interior angles are less than or equal to 180 degrees, while in a strictly convex polygon all interior angles are strictly less than 180 degrees.
Properties
The following properties of a simple polygon are all equivalent to convexity:
*Every internal angle is strictly less than 180 degrees.
*Every point on every line segment between two points inside or on the boundary of the polygon remains inside or on the boundary.
*The polygon is entirely contained
Official source
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