Small 8-3 double step prism

The small 8-3 double step prism is a convex isogonal polychoron that consists of 24 phyllic disphenoids of three kinds and 48 irregular tetrahedra of three kinds. 6 phyllic disphenoids and 12 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.