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corrected a typo, added (terminology) tag; the question has been bumped anyway
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Martin Sleziak
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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, enter image description here

and then fill the space between the four parallellepipeds with a tetrahedron, six parallellepipeds and four prisms (hopefully iI counted correctly), so as to obtain a convex polytope.

Does this have a name? could someone provide a link to a picture?

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, enter image description here

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?

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, enter image description here

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?

added the tag reference-request
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András Bátkai
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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 parallellepipedsfour parallellepipeds, enter image description here

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?

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?

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, enter image description here

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?

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