Runcinated 7-cubes


7-cube

Runcinated 7-cube

Biruncinated 7-cube

Runcitruncated 7-cube

Biruncitruncated 7-cube

Runcicantellated 7-cube

Biruncicantellated 7-cube

Runcicantitruncated 7-cube

Biruncicantitruncated 7-cube
Orthogonal projections in B7 Coxeter plane

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.