Pentellated 6-cubes


6-cube

6-orthoplex

Pentellated 6-cube

Pentitruncated 6-cube

Penticantellated 6-cube

Penticantitruncated 6-cube

Pentiruncitruncated 6-cube

Pentiruncicantellated 6-cube

Pentiruncicantitruncated 6-cube

Pentisteritruncated 6-cube

Pentistericantitruncated 6-cube

Omnitruncated 6-cube
Orthogonal projections in B6 Coxeter plane

In six-dimensional geometry, a pentellated 6-cube is a convex uniform 6-polytope with 5th order truncations of the regular 6-cube.

There are unique 16 degrees of pentellations of the 6-cube with permutations of truncations, cantellations, runcinations, and sterications. The simple pentellated 6-cube is also called an expanded 6-cube, constructed by an expansion operation applied to the regular 6-cube. The highest form, the pentisteriruncicantitruncated 6-cube, is called an omnitruncated 6-cube with all of the nodes ringed. Six of them are better constructed from the 6-orthoplex given at pentellated 6-orthoplex.