Mucubic honeycomb

The mucubic honeycomb or petrial cubic honeycomb is a regular skew polychoron consisting of 4 mucubes. It shares its faces, edges, and vertices with the cubic honeycomb, and it has a petrial octahedron vertex figure. It is also the Petrie dual of the cubic honeycomb.

Vertex coordinates
The vertex coordinates of the mucubic honeycomb are the same as that of its regiment colonel, the cubic honeycomb.