All dimensions Wiki

A Polytope is an n-dimensional generalization of the 3-dimensional polyhedron. In essence, it is any geometric object with flat sides. Since polytopes can exist in any dimension, they can be labeled as n-polytopes, with n being the dimension they're in.

In certain fields of mathematics, the terms "polytope" and "polyhedron" are used in a different sense: polyhedron refers to a generic object in any dimension, whilst a polytope means a bounded polyhedron.

Dimension Name
-1 Nullitope (used in abstract theory)
0 Monon (point)
1 Dion (line segment)
2 Polygon
3 Polyhedron
4 Polychoron