Pentellated 6-simplexes

6-simplex	Pentellated 6-simplex	Pentitruncated 6-simplex	Penticantellated 6-simplex
Penticantitruncated 6-simplex	Pentiruncitruncated 6-simplex	Pentiruncicantellated 6-simplex	Pentiruncicantitruncated 6-simplex
Pentisteritruncated 6-simplex	Pentistericantitruncated 6-simplex	Pentisteriruncicantitruncated 6-simplex (Omnitruncated 6-simplex)
Orthogonal projections in A6 Coxeter plane

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

There are unique 10 degrees of pentellations of the 6-simplex with permutations of truncations, cantellations, runcinations, and sterications. The simple pentellated 6-simplex is also called an expanded 6-simplex, constructed by an expansion operation applied to the regular 6-simplex. The highest form, the pentisteriruncicantitruncated 6-simplex, is called an omnitruncated 6-simplex with all of the nodes ringed.