Runcinated 7-cubes

In seven-dimensional geometry, a runcinated 7-cube is a convex uniform 7-polytope with 3rd order truncations of the regular 7-cube.
There are 16 unique runcinations of the 7-cube with permutations of truncations, and cantellations. 8 are more simply constructed from the 7-orthoplex.
These polytopes are among 127 uniform 7-polytopes with B₇ symmetry.

Runcinated 7-cube

Alternate names

Small prismated hepteract

Biruncinated 7-cube

Alternate names

Small biprismated hepteract

Runcitruncated 7-cube

Alternate names

Prismatotruncated hepteract

Biruncitruncated 7-cube

Alternate names

Biprismatotruncated hepteract

Runcicantellated 7-cube

Alternate names

Prismatorhombated hepteract

Biruncicantellated 7-cube

Alternate names

Biprismatorhombated hepteract

Runcicantitruncated 7-cube

Alternate names

Great prismated hepteract

Biruncicantitruncated 7-cube

Alternate names

Great biprismated hepteract