Gyrobifastigial 5-2 quadruple step prism

The gyrobifastigial 5-2 quadruple step prism is a convex isogonal polychoron formed as a convex hull of four 5-2 step prisms in a way that leaves eight corealmic vertices corresponding to a gyrobifastigium. It consists of 5 gyrobifastigiums, 10 wedges, and 10 phyllic disphenoids. 2 gyrobifastigiums, 3 wedges, and 2 phyllic disphenoids join at each vertex.

It can be constructed as a diminishing of a uniform small rhombated pentachoron, specifically by removing a gyrochoric-symmetric set of 10 vertices. The wedge cells are the vertex figures of the small rhombated pentachoron. The disphenoids are subsymmetrical facetings of triangular prisms, while the gyrobifastigiums are subsymmetrical facetings of the cuboctahedra. All the original octahedron cells have been reduced to squares only.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\sqrt2$$ ≈ 1:1.41421.