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A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n-dimensional space Rn. Some authors use the terms "convex polytope" and "convex polyhedron" interchangeably, while others prefer to draw a distinction between the notions of a polyhedron and a polytope. Convex polytopes play an important role both in various branches of mathematics and in applied areas, most notably in linear programming. A polytope is called full-dimensional if it is an n-dimensional object in Rn.

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  • Convex polytope
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  • A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n-dimensional space Rn. Some authors use the terms "convex polytope" and "convex polyhedron" interchangeably, while others prefer to draw a distinction between the notions of a polyhedron and a polytope. Convex polytopes play an important role both in various branches of mathematics and in applied areas, most notably in linear programming. A polytope is called full-dimensional if it is an n-dimensional object in Rn.
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