Uniform 8-polytope

Graphs of three regular and related uniform polytopes.

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.