The compound of the 3D projections of the hecatonicosachoron (120-cell) and its dual, the hexacosichoron (600-cell). It is analogous to the dual relationship in 3D of the dodecahedron and icosahedron. One of the most beautiful Zometool models Paul Hildebrandt has ever seen.

The hecatonicosachoron is built 2 strut lengths shorter (i.e., "2" -> "0"), around the same center as the hexacosichoron. White connectors belong to the hecatonicosachoron, black to the hexacosichoron, grey to both of them. Each teal ball connects two hb1 and two hb3 struts. You could replace this by bending a b2 over a b0, which I do not like.

Hyperdual