5-polytope

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)

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