Medial rotational 8-3 double step prism

The medial 8-3 double step prism is a convex isogonal polychoron that consists of 48 phyllic disphenoids of four kinds and 32 irregular tetrahedra of four kinds. 12 phyllic disphenoids and 8 irregular tetrahedra join at each vertex. It can be obtained as one of several polychora formed as the convex hull of two orthogonal 8-3 step prisms.

This polychoron cannot be optimized using the ratio method, because the solutions lead to degenerate polytopes or the tesseract instead.