Deltopyramidal pentacosiheptacontahexachoron

The deltopyramidal pentacosiheptacontahexachoron is a convex isochoric polychoron with 576 kite pyramids as cells.

It can also be constructed as the convex hull of 2 dual icositetrachora and 2 opposite rectified icositetrachora. If the smaller icositetrachoron has edge length 1, the larger icositetrachoron has edge length $$11-7\sqrt2 ≈ 1.10051$$, the smaller rectified icositetrachoron has edge length $$\frac{41-\sqrt2}{73} ≈ 0.54227$$, and the larger rectified icositetrachoron has edge length $$\frac{9\sqrt2-1}{21} ≈ 0.55847$$.