Rhombipyramidal heptachiliadiacosichoron

The rhombipyramidal heptachiliadiacosichoron is a convex isochoric polychoron with 7200 skew rhombic pyramids as cells.

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 $$2\frac{19+7\sqrt5}{29} ≈ 2.38983$$, the rectified hexacosichoron has edge length $$4\frac{10+3\sqrt5}{55} ≈ 1.21514$$, and the rectified hecatonicosachoron has edge length $$2\frac{21+5\sqrt5}{79} ≈ 0.81469$$.