n. A finite region of n-dimensional space bounded by hyperplanes; the geometrical entity represented by the general term of the infinite sequence "point, line, polygon, polyhedron, ...".
The Century Dictionary and Cyclopedia
n. A form in n-dimensional geometry corresponding to a polygon or polyhedron.
Word Usage
"Computing power has been increased by incredible proportions, and the the environs of the “beanpole” has become a multidimensional polygon called a polytope—an abstraction that planners spend their adolescent years learning to handle."