Stericated 6-simplexes


In six-dimensional geometry, a stericated 6-simplex is a convex uniform 6-polytope with 4th order truncations of the regular 6-simplex.
There are 8 unique sterications for the 6-simplex with permutations of truncations, cantellations, and runcinations.

Stericated 6-simplex

Alternate names

Coordinates

The vertices of the stericated 6-simplex can be most simply positioned in 7-space as permutations of. This construction is based on facets of the stericated 7-orthoplex.

Steritruncated 6-simplex

Alternate names

  • Cellitruncated heptapeton

Coordinates

The vertices of the steritruncated 6-simplex can be most simply positioned in 7-space as permutations of. This construction is based on facets of the steritruncated 7-orthoplex.

Stericantellated 6-simplex

Alternate names

  • Cellirhombated heptapeton

Coordinates

The vertices of the stericantellated 6-simplex can be most simply positioned in 7-space as permutations of. This construction is based on facets of the stericantellated 7-orthoplex.

Stericantitruncated 6-simplex

Alternate names

  • Celligreatorhombated heptapeton

Coordinates

The vertices of the stericanttruncated 6-simplex can be most simply positioned in 7-space as permutations of. This construction is based on facets of the stericantitruncated 7-orthoplex.

Steriruncinated 6-simplex

Alternate names

  • Celliprismated heptapeton

Coordinates

The vertices of the steriruncinated 6-simplex can be most simply positioned in 7-space as permutations of. This construction is based on facets of the steriruncinated 7-orthoplex.

Steriruncitruncated 6-simplex

Alternate names

  • Celliprismatotruncated heptapeton

Coordinates

The vertices of the steriruncittruncated 6-simplex can be most simply positioned in 7-space as permutations of. This construction is based on facets of the steriruncitruncated 7-orthoplex.

Steriruncicantellated 6-simplex

Alternate names

  • Bistericantitruncated 6-simplex as t1,2,3,5
  • Celliprismatorhombated heptapeton

Coordinates

The vertices of the steriruncitcantellated 6-simplex can be most simply positioned in 7-space as permutations of. This construction is based on facets of the steriruncicantellated 7-orthoplex.

Steriruncicantitruncated 6-simplex

Alternate names

  • Great cellated heptapeton

Coordinates

The vertices of the steriruncicantittruncated 6-simplex can be most simply positioned in 7-space as permutations of. This construction is based on facets of the steriruncicantitruncated 7-orthoplex.

Related uniform 6-polytopes

The truncated 6-simplex is one of 35 uniform 6-polytopes based on the Coxeter group, all shown here in A6 Coxeter plane orthographic projections.