Runcinated 5-cubes


In five-dimensional geometry, a runcinated 5-cube is a convex uniform 5-polytope that is a runcination of the regular 5-cube.
There are unique 8 degrees of runcinations of the 5-cube, along with permutations of truncations, and cantellations. Four are more simply constructed relative to the 5-orthoplex.

Runcinated 5-cube

Alternate names

The Cartesian coordinates of the vertices of a runcinated 5-cube having edge length 2 are all permutations of:

Images

Runcitruncated 5-cube

Alternate names

The Cartesian coordinates of the vertices of a runcitruncated 5-cube having edge length 2 are all permutations of:

Images

Runcicantellated 5-cube

Alternate names

The Cartesian coordinates of the vertices of a runcicantellated 5-cube having edge length 2 are all permutations of:

Images

Runcicantitruncated 5-cube

Alternate names

The Cartesian coordinates of the vertices of a runcicantitruncated 5-cube having an edge length of 2 are given by all permutations of coordinates and sign of:

Images

Related polytopes

These polytopes are a part of a set of 31 uniform polytera generated from the regular 5-cube or 5-orthoplex.