Stericated 5-simplexes


5-simplex

Stericated 5-simplex

Steritruncated 5-simplex

Stericantellated 5-simplex

Stericantitruncated 5-simplex

Steriruncitruncated 5-simplex

Steriruncicantitruncated 5-simplex
(Omnitruncated 5-simplex)
Orthogonal projections in A5 and A4 Coxeter planes

In five-dimensional geometry, a stericated 5-simplex is a convex uniform 5-polytope with fourth-order truncations (sterication) of the regular 5-simplex.

There are six unique sterications of the 5-simplex, including permutations of truncations, cantellations, and runcinations. The simplest stericated 5-simplex is also called an expanded 5-simplex, with the first and last nodes ringed, for being constructible by an expansion operation applied to the regular 5-simplex. The highest form, the steriruncicantitruncated 5-simplex is more simply called an omnitruncated 5-simplex with all of the nodes ringed.