5-polytope
| 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.