Square-antitegmatic hecatontetracontatetrachoron

The square-antitegmatic hecatontetracontatetrachoron is a convex isochoric polychoron with 144 square antitegums as cells. It can be obtained as the dual of the small prismatotetracontoctachoron.

It can also be constructed as the convex hull of 2 dual icositetrachora and 2 opposite rectified icositetrachora. If the icositetrachora have edge length 1, the rectified icositetrachora have edge length $$2-\sqrt2 ≈ 0.58569$$.

Isogonal derivatives
Substitution by vertices of these following elements will produce these convex isogonal polychora:
 * Square antitegum (144): Small prismatotetracontoctachoron
 * Kite (576): Rectified small prismatotetracontoctachoron
 * Edge (288): Tetracontoctachoron
 * Edge (384): Bitruncatotetracontoctachoron
 * Vertex (48): Bitetracontoctachoron
 * Vertex (192): Biambotetracontoctachoron