Disdyakis triacontahedral tegum

The disdyakis triacontahedral tegum, also called the disdyakis triacontahedral bipyramid, is a convex isochoric polychoron with 240 irregular tetrahedra as cells. As the name suggests, it can be constructed as a tegum based on the disdyakis triacontahedron.

In the variant obtained as the dual of the uniform great rhombicosidodecahedral prism, if the shortest edges of the disdyakis triacontahedron have length 1, its height is $$\sqrt{\frac{4155+1857\sqrt5}{5}} ≈ 40.76120$$.