Pentellated 6-orthoplexes

Orthogonal projections in B6 Coxeter plane

6-orthoplex

Pentellated 6-orthoplex
Pentellated 6-cube

6-cube

Pentitruncated 6-orthoplex

Penticantellated 6-orthoplex

Penticantitruncated 6-orthoplex

Pentiruncitruncated 6-orthoplex

Pentiruncicantellated 6-cube

Pentiruncicantitruncated 6-orthoplex

Pentisteritruncated 6-cube

Pentistericantitruncated 6-orthoplex

Pentisteriruncicantitruncated 6-orthoplex
(Omnitruncated 6-cube)

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

There are unique 16 degrees of pentellations of the 6-orthoplex with permutations of truncations, cantellations, runcinations, and sterications. Ten are shown, with the other 6 more easily constructed as a pentellated 6-cube. The simple pentellated 6-orthoplex (Same as pentellated 5-cube) is also called an expanded 6-orthoplex, constructed by an expansion operation applied to the regular 6-orthoplex. The highest form, the pentisteriruncicantitruncated 6-orthoplex, is called an omnitruncated 6-orthoplex with all of the nodes ringed.