Runcinated 7-cubes

In seven-dimensional geometry, a runcinated 7-cube is a convex uniform 7-polytope with 3rd order truncations (runcination) 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.

Alternate names

 * Small prismated hepteract (acronym: spesa) (Jonathan Bowers)

Alternate names

 * Small biprismated hepteract (Acronym sibposa) (Jonathan Bowers)

Alternate names

 * Prismatotruncated hepteract (acronym: petsa) (Jonathan Bowers)

Alternate names

 * Biprismatotruncated hepteract (acronym: biptesa) (Jonathan Bowers)

Alternate names

 * Prismatorhombated hepteract (acronym: parsa) (Jonathan Bowers)

Alternate names

 * Biprismatorhombated hepteract (acronym: bopresa) (Jonathan Bowers)

Alternate names

 * Great prismated hepteract (acronym: gapsa) (Jonathan Bowers)

Alternate names

 * Great biprismated hepteract (acronym: gibposa) (Jonathan Bowers)