Tri-hecatonicosadiminished hecatonicosachoron

The tri-hecatonicosadiminished hecatonicosachoron or thidhi is a convex isogonal polychoron that consists of 120 chiral gyroelongated triangular tegums, 360 digonal disphenoids, and 360 phyllic disphenoids. 4 chiral gyroelongaed triangular tegums, 6 phyllic disphenoids, and 6 digonal disphenoids join at each vertex. However, it cannot be made scaliform.

It can be constructed by removing three inscribed hexacosichora of edge length $$\sqrt{3+\sqrt5}$$ from a hecatonicosachoron.

The ratio between the longest and shortest edges is 1:$$\frac{\sqrt2+\sqrt{10}}{2}$$ ≈ 1:2.28825.