Bi-icositetradiminished hexacosichoron

The bi-icositetradiminished hexacosichoron, or bidex,, is a convex noble Scaliform polychoron that consists of 48 tridiminished icosahedra. Six cells join at each vertex.

It is a diminishing of the regular hexacosichoron, where 48 vertices corresponding to the vertices of two inscribed icositetrachora are removed. It can also be thought of as a snub icositetrachoron with the vertices of an inscribed icositetrachoron removed.

Diminishing one further set of vertices corresponding to an icositetrachoron yields a tri-icositetradiminished hexacosichoron (tridex), the dual of this polychoron. Diminishing two such sets yields a quatro-icositetradiminished hexacosichoron (quidex), and diminishing all three of those here remaining subsets results in the hecatonicosachoron. In fact all these various steps of zero to five diminishings result in pairs of dual polychora.