Deltoidal icositetrahedral tegum

The deltoidal icositetrahedral tegum, also called the deltoidal icositetrahedral bipyramid, is a convex isochoric polychoron with 48 kite pyramids as cells. As the name suggests, it can be constructed as a tegum based on the deltoidal icositetrahedron.

In the variant obtained as the dual of the uniform small rhombicuboctahedral prism, if the short edges of the deltoidal icositetrahedron have length 1, its height is $$\sqrt{34+23\sqrt2} ≈ 8.15640$$.