 7-simplex   
|
 Hexicated 7-simplex
|
 Hexitruncated 7-simplex
|
 Hexicantellated 7-simplex
|
 Hexiruncinated 7-simplex
|
 Hexicantitruncated 7-simplex
|
 Hexiruncitruncated 7-simplex
|
 Hexiruncicantellated 7-simplex
|
 Hexisteritruncated 7-simplex
|
 Hexistericantellated 7-simplex
|
 Hexipentitruncated 7-simplex
|
 Hexiruncicantitruncated 7-simplex
|
 Hexistericantitruncated 7-simplex
|
 Hexisteriruncitruncated 7-simplex
|
 Hexisteriruncicantellated 7-simplex
|
 Hexipenticantitruncated 7-simplex
|
 Hexipentiruncitruncated 7-simplex
|
 Hexisteriruncicantitruncated 7-simplex
|
 Hexipentiruncicantitruncated 7-simplex
|
 Hexipentistericantitruncated 7-simplex
|
 Hexipentisteriruncicantitruncated 7-simplex (Omnitruncated 7-simplex)
| |||
| Orthogonal projections in A7 Coxeter plane | |||
|---|---|---|---|
In seven-dimensional geometry, a hexicated 7-simplex is a convex uniform 7-polytope, including 6th-order truncations (hexication) from the regular 7-simplex.
There are 20 unique hexications for the 7-simplex, including all permutations of truncations, cantellations, runcinations, sterications, and pentellations.
The simple hexicated 7-simplex is also called an expanded 7-simplex, with only the first and last nodes ringed, is constructed by an expansion operation applied to the regular 7-simplex. The highest form, the hexipentisteriruncicantitruncated 7-simplex is more simply called a omnitruncated 7-simplex with all of the nodes ringed.