High Quality Content by WIKIPEDIA articles! In geometry, polytope is a generic term that can refer to a two-dimensional polygon, a three-dimensional polyhedron, or any of the various generalizations thereof, including generalizations to higher dimensions (such as a polychoron in four dimensions) and other abstractions (such as unbounded polytopes, apeirotopes, tessellations, and abstract polytopes). When referring to an n-dimensional generalization, the term n-polytope is used. For example, a polygon is a 2-polytope, a polyhedron is a 3-polytope, and a polychoron is a 4-polytope.