Rhombic enneacontahedron

The rhombic enneacontahedron is a zonohedron with 90 rhombic faces. It is the zonohedrification of the dodecahedron and the dual of the rectified truncated icosahedron.

Faces
The rhombic enneacontahedron has 90 rhombic faces of two different types. It has 60 faces with a diagonal ratio of $$\sqrt{2}$$, and 30 faces with a diagonal ratio of $$\varphi^2=\frac{3+\sqrt{5}}{2}$$. Its symmetry acts transitively on faces of the same type.