Convex set

In geometry, set whose intersection with every line is a single line segment

Convex set

In geometry, a set of points is convex if it contains every line segment between two points in the set. For example, a solid cube is a convex set, but anything that is hollow or has an indent, such as a crescent shape, is not convex. The boundary of a convex set in the plane is always a convex curve.

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