This polytope is also called the first stellation of the hecatonicosachoron. It is the 4D analog of the small stellated dodecahedron, which is the first stellation of the dodecahedron in 3D. Both are constructed by simply extending the edges (Nan Ma). As all star polytopes, it has full hexacosichoric symmetry. The only face type present is a regular pentagram. Various undistorted polyhedra are visible in the model: icosahedra, great icosahedra, compounds of five cubes, a dodecadodecahedron, two concentric superposed great stellated dodecahedra, …. It also has a model of the hecatonicosachoron embedded in it.
David Richter already described how to make a Zometool model.
In the present vZome model, each teal ball connects two hb1 and two hb2 struts. Replacing these by a b2 bending over a b1 without connector, puts too much strain on these struts and the neighbouring connectors. I built the model at a φ larger scale. Although bending a b3 over a b2 is more acceptable, I preferred to use a modified connector: two hb2's are connected to it, while a single regular b3 passes through the connector.
If one preferres to have a 5-fold axis stand up vertically, one definitely needs a pedestal, such as the one displayed in the last two scenes of the vZome model.
