Rhombipyramidal hexecontachoron

The rhombipyramidal hexecontachoron is a convex isochoric polychoron with 60 skew rhombic pyramids as cells. It can be obtained as the dual of the prismatorhombated pentachoron.

It can also be constructed as the convex hull of 2 dual pentachora and 2 opposite rectified pentachora. If the smaller pentachoron has edge length 1, the larger pentachoron has edge length $$\frac87 ≈ 1.14286$$, the smaller rectified pentachoron has edge length $$\frac{8}{11} ≈ 0.72727$$, and the larger rectified pentachoron has edge length $$\frac89 ≈ 0.88889$$.