Uniform 8-polytope
8-simplex  | 
Rectified 8-simplex  | 
Truncated 8-simplex  | |||||||||
Cantellated 8-simplex  | 
Runcinated 8-simplex  | 
Stericated 8-simplex  | |||||||||
Pentellated 8-simplex  | 
Hexicated 8-simplex  | 
Heptellated 8-simplex  | |||||||||
8-orthoplex  | 
Rectified 8-orthoplex  | 
Truncated 8-orthoplex  | |||||||||
Cantellated 8-orthoplex  | 
Runcinated 8-orthoplex  | ||||||||||
Hexicated 8-orthoplex  | 
Cantellated 8-cube  | ||||||||||
Runcinated 8-cube  | 
Stericated 8-cube  | 
Pentellated 8-cube  | |||||||||
Hexicated 8-cube  | 
Heptellated 8-cube  | ||||||||||
8-cube  | 
Rectified 8-cube  | 
Truncated 8-cube  | |||||||||
8-demicube  | 
Truncated 8-demicube  | 
Cantellated 8-demicube  | |||||||||
Runcinated 8-demicube  | 
Stericated 8-demicube  | ||||||||||
Pentellated 8-demicube  | 
Hexicated 8-demicube  | ||||||||||
421  | 
142  | 
241  | |||||||||
In eight-dimensional geometry, an eight-dimensional polytope or 8-polytope is a polytope contained by 7-polytope facets. Each 6-polytope ridge being shared by exactly two 7-polytope facets.
A uniform 8-polytope is one which is vertex-transitive, and constructed from uniform 7-polytope facets.