Disdyakis dodecahedral tegum

The disdyakis dodecahedral tegum, also called the disdyakis dodecahedral bipyramid, is a convex isochoric polychoron with 96 irregular tetrahedra as cells. As the name suggests, it can be constructed as a tegum based on the disdyakis dodecahedron.

In the variant obtained as the dual of the uniform great rhombicuboctahedral prism, if the shortest edges of the disdyakis dodecahedron have length 1, its height is $$\sqrt{102+69\sqrt2} ≈ 14.12731$$.