Hexicated 7-orthoplexes


In seven-dimensional geometry, a hexicated 7-orthoplex is a convex uniform 7-polytope, including 6th-order truncations 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.

Hexitruncated 7-orthoplex

Alternate names

Hexicantellated 7-orthoplex

Alternate names

  • Petirhombated heptacross

Hexicantitruncated 7-orthoplex

Alternate names

  • Petigreatorhombated heptacross

Hexiruncitruncated 7-orthoplex

Alternate names

  • Petiprismatotruncated heptacross

Hexiruncicantellated 7-orthoplex

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

Alternate names

  • Petiprismatorhombated heptacross

Hexisteritruncated 7-orthoplex

Alternate names

  • Peticellitruncated heptacross

Hexiruncicantitruncated 7-orthoplex

Alternate names

  • Petigreatoprismated heptacross

Hexistericantitruncated 7-orthoplex

Alternate names

  • Peticelligreatorhombated heptacross

Hexisteriruncitruncated 7-orthoplex

Alternate names

  • Peticelliprismatotruncated heptacross

Hexipenticantitruncated 7-orthoplex

Alternate names

  • Petiterigreatorhombated heptacross

Hexisteriruncicantitruncated 7-orthoplex

Alternate names

  • Great petacellated heptacross

Hexipentiruncicantitruncated 7-orthoplex

Alternate names

  • Petiterigreatoprismated heptacross