A convex polytope is the convex hull of a finite set of points in a finite-dimensional real vector space. Equivalently, it is a bounded intersection of finitely many closed half-spaces. Thus a convex polytope is both a polytope and a convex set.
Convex Polytope
See also
Convex Hull, Convex Polyhedron, Convex Set, Half-Space, PolytopeExplore with Wolfram|Alpha
References
Ziegler, G. M. Lectures on Polytopes. New York: Springer-Verlag, 1995.Cite this as:
Weisstein, Eric W. "Convex Polytope." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ConvexPolytope.html