Hecatonicosadiminished hecatonicosachoron

The hecatonicosidiminished hecatonicosachoron or hidhi is a convex isogonal polychoron that consists of 120 chiral rectified truncated tetrahedra and 120 truncated tetrahedra. However, it cannot be made scaliform.

It can be constructed by removing an inscribed hexacosichoron of edge length $\sqrt{3+√5}$ from a hecatonicosachoron.