Sphenoidal pentacosiheptacontahexachoron

The sphenoidal pentacosiheptacontahexachoron is a convex isochoric polychoron with 576 sphenoids as cells. It can be obtained as the dual of the great rhombated icositetrachoron.

It can also be constructed as the convex hull of 2 dual icositetrachora and a rectified icositetrachoron. If the smaller icositetrachoron has edge length 1, the larger icositetrachoron has edge length $$\frac{3\sqrt2-1}{2} ≈ 1.08088$$ and the rectified icositetrachoron has edge length $$\frac{29-2\sqrt2}{49} ≈ 0.53411$$.