Noun
polytope (plural polytopes)
(geometry) A finite region of n-dimensional space bounded by hyperplanes (a geometric shape with flat sides, existing in any number of dimensions); the geometrical entity represented by the general term of the infinite sequence "point, line, polygon, polyhedron, ...".
A polytope is finite if it is defined in terms of a finite number of objects, e.g., as an intersection of a finite number of half-planes. Source: Internet
A similar result holds for the number of vertices (of the Gaussian polytope), the number of edges, and in fact, faces of all dimensions. Source: Internet
Depending on circumstance, the dual figure may or may not be another geometric polytope. Source: Internet
Every bounded nonempty polytope is pointed. Source: Internet
A polytope is said to be pointed if it contains at least one vertex. Source: Internet
Approaches to definition The term polytope is nowadays a broad term that covers a wide class of objects, and different definitions are attested in mathematical literature. Source: Internet