Uniform 7-polytope

Graphs of three regular and related uniform polytopes

7-simplex				Rectified 7-simplex				Truncated 7-simplex
Cantellated 7-simplex				Runcinated 7-simplex				Stericated 7-simplex
Pentellated 7-simplex						Hexicated 7-simplex
7-orthoplex				Truncated 7-orthoplex				Rectified 7-orthoplex
Cantellated 7-orthoplex				Runcinated 7-orthoplex				Stericated 7-orthoplex
Pentellated 7-orthoplex				Hexicated 7-cube				Pentellated 7-cube
Stericated 7-cube				Cantellated 7-cube				Runcinated 7-cube
7-cube				Truncated 7-cube				Rectified 7-cube
7-demicube				Cantic 7-cube				Runcic 7-cube
Steric 7-cube				Pentic 7-cube				Hexic 7-cube
321				231				132

In seven-dimensional geometry, a 7-polytope is a polytope contained by 6-polytope facets. Each 5-polytope ridge being shared by exactly two 6-polytope facets.

A uniform 7-polytope is one whose symmetry group is transitive on vertices and whose facets are uniform 6-polytopes.