Snub square prismantiprismoid

The snub square prismantiprismoid is a convex isogonal polychoron that consists of 32 square antiprisms of two kinds 32 tetragonal disphenoids and 128 irregular tetrahedra obtained from the process of alternating a square truncatoprismantiprismoid. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{\sqrt{7+4\sqrt{2}}}{2}$$ ≈ 1:1.77882.