Tetrakis hexacosichoron

The tetrakis hexacosichoron, also known as the triangular-pyramidal dischilliatetracosichoron, is a convex isochoric polychoron with 2400 triangular pyramids as cells. It can be obtained as the dual of the truncated hecatonicosachoron.

It can also be obtained as the convex hull of a hecatonicosachoron and a hexacosichoron, where the edges of the hexacosichoronare $$\frac{10+\sqrt5}{5} ≈ 2.44721$$ times the length of those of the hecatonicosachoron. Varying the hexacosichoron's edge length to be anything more than $$3\frac{1+\sqrt5}{4} ≈ 2.42705$$ times that of the hecatonicosachoron gives a fully symmetric variant of this polychoron.