I hope this is not too trivial for this forum. I was wondering if someone has come across this polytope.
You start with the rhombic dodecahedron, subdivide it into four parallellepipeds, and then fill the space between the four parallellepipeds with a tetrahedron, six parallellepipeds and four prisms (hopefully i counted correctly), so as to obtain a convex polytope.
Does this have a name? could someone provide a link to a picture?