Triangular-antitegmatic dischiliatetracosichoron

The triangular-antitegmatic dischiliatetracosichoron is a convex isochoric polychoron with 2400 triangular antitegums as cells. It can be obtained as the dual of the small disprismatohexacosihecatonicosachoron.

It can also be constructed as the convex hull of a hecatonicosachoron, a hexacosichoron, a rectified hexacosichoron, and a rectified hecatonicosachoron. If the hecatonicosachoron has edge length 1, the hexacosichoron has edge length $$\frac{17+4\sqrt5}{11} ≈ 2.35857$$, the rectified hexacosichoron has edge length $$\frac{29-\sqrt5}{22} ≈ 1.21654$$, and the rectified hecatonicosachoron has edge length $$12-5\sqrt5 ≈ 0.81966$$.