Runcinated 5-cubes
| 5-cube | Runcinated 5-cube | Runcinated 5-orthoplex | 
| Runcitruncated 5-cube | Runcicantellated 5-cube | Runcicantitruncated 5-cube | 
| Runcitruncated 5-orthoplex | Runcicantellated 5-orthoplex | Runcicantitruncated 5-orthoplex | 
| Orthogonal projections in B5 Coxeter plane | ||
|---|---|---|
In five-dimensional geometry, a runcinated 5-cube is a convex uniform 5-polytope that is a runcination (a 3rd order truncation) of the regular 5-cube.
There are 8 unique degrees of runcinations of the 5-cube, along with permutations of truncations and cantellations. Four are more simply constructed relative to the 5-orthoplex.