Stericated 7-simplexes


In seven-dimensional geometry, a stericated 7-simplex is a convex uniform 7-polytope with 4th order truncations of the regular 7-simplex.
There are 14 unique sterication for the 7-simplex with permutations of truncations, cantellations, and runcinations.

Stericated 7-simplex

Alternate names

Coordinates

The vertices of the stericated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the stericated 8-orthoplex.

Bistericated 7-simplex

Alternate names

  • Small bicellated hexadecaexon

Coordinates

The vertices of the bistericated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the bistericated 8-orthoplex.

Steritruncated 7-simplex

Alternate names

  • Cellitruncated octaexon

Coordinates

The vertices of the steritruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the steritruncated 8-orthoplex.

Bisteritruncated 7-simplex

Alternate names

  • Bicellitruncated octaexon

Coordinates

The vertices of the bisteritruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the bisteritruncated 8-orthoplex.

Stericantellated 7-simplex

Alternate names

  • Cellirhombated octaexon

Coordinates

The vertices of the stericantellated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the stericantellated 8-orthoplex.

Bistericantellated 7-simplex

Alternate names

  • Bicellirhombihexadecaexon

Coordinates

The vertices of the bistericantellated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the stericantellated 8-orthoplex.

Stericantitruncated 7-simplex

Alternate names

  • Celligreatorhombated octaexon

Coordinates

The vertices of the stericantitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the stericantitruncated 8-orthoplex.

Bistericantitruncated 7-simplex

Alternate names

  • Bicelligreatorhombated octaexon

Coordinates

The vertices of the bistericantitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the bistericantitruncated 8-orthoplex.

Steriruncinated 7-simplex

Alternate names

  • Celliprismated octaexon

Coordinates

The vertices of the steriruncinated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the steriruncinated 8-orthoplex.

Steriruncitruncated 7-simplex

Alternate names

  • Celliprismatotruncated octaexon

Coordinates

The vertices of the steriruncitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the steriruncitruncated 8-orthoplex.

Steriruncicantellated 7-simplex

Alternate names

  • Celliprismatorhombated octaexon

Coordinates

The vertices of the steriruncicantellated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the steriruncicantellated 8-orthoplex.

Bisteriruncitruncated 7-simplex

Alternate names

  • Bicelliprismatotruncated hexadecaexon

Coordinates

The vertices of the bisteriruncitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the bisteriruncitruncated 8-orthoplex.

Steriruncicantitruncated 7-simplex

Alternate names

  • Great cellated octaexon

Coordinates

The vertices of the steriruncicantitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the steriruncicantitruncated 8-orthoplex.

Bisteriruncicantitruncated 7-simplex

Alternate names

  • Great bicellated hexadecaexon

Coordinates

The vertices of the bisteriruncicantitruncated 7-simplex can be most simply positioned in 8-space as permutations of. This construction is based on facets of the bisteriruncicantitruncated 8-orthoplex.

Related polytopes

This polytope is one of 71 uniform 7-polytopes with A7 symmetry.