Pentakis dodecahedral tegum

The pentakis dodecahedral tegum, also called the pentakis dodecahedral bipyramid, is a convex isochoric polychoron with 120 sphenoids as cells. As the name suggests, it can be constructed as a tegum based on the pentakis dodecahedron.

In the variant obtained as the dual of the uniform truncated icosahedral prism, if the short edges of the pentakis dodecahedron have length 1, its height is $$\frac{1+7\sqrt2}{2} ≈ 14.32624$$.