Noun
4-polytope (plural 4-polytopes)
(geometry) A four-dimensional polytope.
For example, a polygon has a two-dimensional body and no faces, while a 4-polytope has a four-dimensional body and an additional set of three-dimensional "cells". Source: Internet
It is also not a 4-polytope because its bounding volumes are not polyhedral. Source: Internet
;Nets A net of a 4-polytope is composed of polyhedral cells that are connected by their faces and all occupy the same three-dimensional space, just as the polygon faces of a net of a polyhedron are connected by their edges and all occupy the same plane. Source: Internet
Like any polytope, the elements of a 4-polytope cannot be subdivided into two or more sets which are also 4-polytopes, i.e. it is not a compound. Source: Internet
;Orthogonal projection Orthogonal projections can be used to show various symmetry orientations of a 4-polytope. Source: Internet
;Sectioning Just as a slice through a polyhedron reveals a cut surface, so a slice through a 4-polytope reveals a cut "hypersurface" in three dimensions. Source: Internet