An Enneacontahedron Made of Hexagons and Rhombi

An enneacontahedron is a polyhedron with ninety faces. There are many such polyhedra. This particular one has sixty hexagonal faces, and thirty rhombic faces. I made it using Stella 4d, a program you can try for free at

A Rhombic Enneacontahedron, Augmented with Sixty Rhombic Dodecahedra, Along with Its Dual

REC augmented with 60 RDs

The dual to this cluster-polyhedron appears below. Both virtual models were created using Stella 4d: Polyhedron Navigator, software available here.

REC augmented with 60 RDs -- its amazing dual