Editing Abstract polytope (section)

====Realizations====
A traditional polytope is said to be a ''realization'' of the associated abstract polytope. A realization is a mapping or injection of the abstract object into a real space, typically [[Euclidean space|Euclidean]], to construct a traditional polytope as a real geometric figure.

The six quadrilaterals shown are all distinct realizations of the abstract quadrilateral, each with different geometric properties. Some of them do not conform to traditional definitions of a quadrilateral and are said to be ''unfaithful'' realizations. A conventional polytope is a faithful realization.