5-polytope

In geometry, a five-dimensional polytope (or 5-polytope) is a polytope in five-dimensional space, bounded by (4-polytope) facets, pairs of which share a polyhedral cell.

Graphs of three regular and three uniform 5-polytopes.
5-simplex (hexateron)	5-orthoplex, $211$ (Pentacross)	5-cube (Penteract)
Expanded 5-simplex	Rectified 5-orthoplex	5-demicube. $121$ (Demipenteract)

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