Rhombic dodecahedral tegum

The rhombic dodecahedral bipyramid, also called the rhombic dodecahedral bipyramid, is a convex isochoric polychoron with 24 rhombic pyramids as cells. As the name sugests, it can be constructed as a tegum based on the rhombic dodecahedron.

In the variant obtained as the dual of the uniform cuboctahedral prism, the height from the top to the bottom vertex is $$\frac{4\sqrt6}{3} ≈ 3.26599$$ times the edge length of the base rhombic dodecahedron.