Uniform 9-polytope

Graphs of three regular and related uniform polytopes

9-simplex						Rectified 9-simplex
Truncated 9-simplex						Cantellated 9-simplex
Runcinated 9-simplex						Stericated 9-simplex
Pentellated 9-simplex						Hexicated 9-simplex
Heptellated 9-simplex						Octellated 9-simplex
9-orthoplex						9-cube
Truncated 9-orthoplex						Truncated 9-cube
Rectified 9-orthoplex						Rectified 9-cube
9-demicube						Truncated 9-demicube

In nine-dimensional geometry, a nine-dimensional polytope or 9-polytope is a polytope contained by 8-polytope facets. Each 7-polytope ridge being shared by exactly two 8-polytope facets.

A uniform 9-polytope is one which is vertex-transitive, and constructed from uniform 8-polytope facets.