Runcinated 7-simplexes


In seven-dimensional geometry, a runcinated 7-simplex is a convex uniform 7-polytope with 3rd order truncations of the regular 7-simplex.
There are 8 unique runcinations of the 7-simplex with permutations of truncations, and cantellations.

Runcinated 7-simplex

Alternate names

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

Images

Biruncinated 7-simplex

Alternate names

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

Images

Runcitruncated 7-simplex

Alternate names

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

Images

Biruncitruncated 7-simplex

Alternate names

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

Images

Runcicantellated 7-simplex

Alternate names

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

Images

Biruncicantellated 7-simplex

Alternate names

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

Images

Runcicantitruncated 7-simplex

Alternate names

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

Images

Biruncicantitruncated 7-simplex

Alternate names

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

Images

Related polytopes

These polytopes are among 71 uniform 7-polytopes with A7 symmetry.