Pentellated 7-simplexes


In seven-dimensional geometry, a pentellated 7-simplex is a convex uniform 7-polytope with 5th order truncations of the regular 7-simplex.
There are 16 unique pentellations of the 7-simplex with permutations of truncations, cantellations, runcinations, and sterications.

Pentellated 7-simplex

Alternate names

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

Images

Pentitruncated 7-simplex

Alternate names

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

Images

Penticantellated 7-simplex

Alternate names

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

Images

Penticantitruncated 7-simplex

Alternate names

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

Pentiruncinated 7-simplex

Alternate names

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

Images

Pentiruncitruncated 7-simplex

Alternate names

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

Images

Pentiruncicantellated 7-simplex

Alternate names

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

Images

Pentiruncicantitruncated 7-simplex

Alternate names

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

Images

Pentistericated 7-simplex

Alternate names

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

Images

Pentisteritruncated 7-simplex

Alternate names

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

Images

Pentistericantellated 7-simplex

Alternate names

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

Images

Pentistericantitruncated 7-simplex

Alternate names

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

Images

Pentisteriruncinated 7-simplex

Alternate names

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

Images

Pentisteriruncitruncated 7-simplex

Alternate names

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

Images

Pentisteriruncicantellated 7-simplex

Alternate names

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

Images

Pentisteriruncicantitruncated 7-simplex

Alternate names

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

Images

Related polytopes

These polytopes are a part of a set of 71 uniform 7-polytopes with A7 symmetry.