Pentellated 7-orthoplexes

In seven-dimensional geometry, a pentellated 7-orthoplex is a convex uniform 7-polytope with 5th order truncations (pentellation) of the regular 7-orthoplex.

There are 32 unique pentellations of the 7-orthoplex with permutations of truncations, cantellations, runcinations, and sterications. 16 are more simply constructed relative to the 7-cube.

These polytopes are a part of a set of 127 uniform 7-polytopes with B7 symmetry.

Alternate names

 * Small terated hecatonicosoctaexon (acronym: Staz) (Jonathan Bowers)

Coordinates
Coordinates are permutations of (0,1,1,1,1,1,2)$\sqrt{2}$

Alternate names

 * Teritruncated hecatonicosoctaexon (acronym: Tetaz) (Jonathan Bowers)

Coordinates
Coordinates are permutations of (0,1,1,1,1,2,3).

Alternate names

 * Terirhombated hecatonicosoctaexon (acronym: Teroz) (Jonathan Bowers)

Coordinates
Coordinates are permutations of (0,1,1,1,2,2,3)$\sqrt{2}$.

Alternate names

 * Terigreatorhombated hecatonicosoctaexon (acronym: Tograz) (Jonathan Bowers)

Coordinates
Coordinates are permutations of (0,1,1,1,2,3,4)$\sqrt{2}$.

Alternate names

 * Teriprismated hecatonicosoctaexon (acronym: Topaz) (Jonathan Bowers)

Coordinates
The coordinates are permutations of (0,1,1,2,2,2,3)$\sqrt{2}$.

Alternate names

 * Teriprismatotruncated hecatonicosoctaexon (acronym: Toptaz) (Jonathan Bowers)

Coordinates
Coordinates are permutations of (0,1,1,2,2,3,4)$\sqrt{2}$.

Alternate names

 * Teriprismatorhombated hecatonicosoctaexon (acronym: Toparz) (Jonathan Bowers)

Coordinates
Coordinates are permutations of (0,1,1,2,3,3,4)$\sqrt{2}$.

Alternate names

 * Terigreatoprismated hecatonicosoctaexon (acronym: Tegopaz) (Jonathan Bowers)

Coordinates
Coordinates are permutations of (0,1,1,2,3,4,5)$\sqrt{2}$.

Alternate names

 * Tericellated hecatonicosoctaexon (acronym: Tocaz) (Jonathan Bowers)

Coordinates
Coordinates are permutations of (0,1,2,2,2,2,3)$\sqrt{2}$.

Alternate names

 * Tericellitruncated hecatonicosoctaexon (acronym: Tacotaz) (Jonathan Bowers)

Coordinates
Coordinates are permutations of (0,1,2,2,2,3,4)$\sqrt{2}$.

Alternate names

 * Tericellirhombated hecatonicosoctaexon (acronym: Tocarz) (Jonathan Bowers)

Coordinates
Coordinates are permutations of (0,1,2,2,3,3,4)$\sqrt{2}$.

Alternate names

 * Tericelligreatorhombated hecatonicosoctaexon (acronym: Tecagraz) (Jonathan Bowers)

Coordinates
Coordinates are permutations of (0,1,2,2,3,4,5)$\sqrt{2}$.

Alternate names

 * Bipenticantitruncated 7-orthoplex as t1,2,3,6{35,4}
 * Tericelliprismated hecatonicosoctaexon (acronym: Tecpaz) (Jonathan Bowers)

Coordinates
Coordinates are permutations of (0,1,2,3,3,3,4)$\sqrt{2}$.

Alternate names

 * Tericelliprismatotruncated hecatonicosoctaexon (acronym: Tecpotaz) (Jonathan Bowers)

Coordinates
Coordinates are permutations of (0,1,2,3,3,4,5)$\sqrt{2}$.

Alternate names

 * Bipentiruncicantitruncated 7-orthoplex as t1,2,3,4,6{35,4}
 * Tericelliprismatorhombated hecatonicosoctaexon (acronym: Tacparez) (Jonathan Bowers)

Coordinates
Coordinates are permutations of (0,1,2,3,4,4,5)$\sqrt{2}$.

Alternate names

 * Great terated hecatonicosoctaexon (acronym: Gotaz) (Jonathan Bowers)

Coordinates
Coordinates are permutations of (0,1,2,3,4,5,6)$\sqrt{2}$.