Uniform 7-polytope

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.

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

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

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