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][1], subdivide it into [four parallellepipeds][2], 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?


  [1]: http://mathworld.wolfram.com/RhombicDodecahedron.html
  [2]: https://sites.google.com/site/lablejazz2/tile_1-custom-rot-90-size-430-153.jpg