Hexicated 7-orthoplexes

In seven-dimensional geometry, a hexicated 7-orthoplex (also hexicated 7-cube) is a convex uniform 7-polytope, including 6th-order truncations (hexication) from the regular 7-orthoplex.

There are 32 hexications for the 7-orthoplex, including all permutations of truncations, cantellations, runcinations, sterications, and pentellations. 12 are represented here, while 20 are more easily constructed from the 7-cube.

Alternate names

 * Petitruncated heptacross

Alternate names

 * Petirhombated heptacross

Alternate names

 * Petigreatorhombated heptacross

Alternate names

 * Petiprismatotruncated heptacross

Hexiruncicantellated 7-orthoplex
In seven-dimensional geometry, a hexiruncicantellated 7-orthoplex is a uniform 7-polytope.

Alternate names

 * Petiprismatorhombated heptacross

Alternate names

 * Peticellitruncated heptacross

Alternate names

 * Petigreatoprismated heptacross

Alternate names

 * Peticelligreatorhombated heptacross

Alternate names

 * Peticelliprismatotruncated heptacross

Alternate names

 * Petiterigreatorhombated heptacross

Alternate names

 * Great petacellated heptacross

Alternate names

 * Petiterigreatoprismated heptacross