Polytope

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
Category:Polytope Naming Schemes
Category:Shapes
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