Rhombic triacontahedral tegum

The rhombic triacontahedral tegum, also called the rhombic triacontahedral bipyramid, is a convex isochoric polychoron with 60 rhombic pyramids as cells. As the name suggests, it can be constructed as a tegum based on the rhombic triacontahedron.

In the variant obtained as the dual of the uniform icosidodecahedral prism, the height from the top to the bottom edges is $$\sqrt{\frac{200+88\sqrt5}{5}} ≈ 8.90813$$ times the edge length of the base rhombic triacontahedron.