Snub digonal-square prismantiprismoid

The snub digonal-square prismantiprismoid is a convex isogonal polychoron that consists of 8 square antiprisms of two kinds, 8 tetragonal disphenoids, 8 rhombic disphenoids, 16 phyllic disphenoids and 64 irregular tetrahedra of two kinds obtained from the process of alternating a digonal-square truncatoprismantiprismoid. However, it cannot be made uniform.

This polychoron cannot be optimized using the ratio method, because the solution (with intended minimal ratio 1:$$\sqrt{1+\sqrt2}$$ ≈ 1:1.55377) would yield a square-square duoantiprism instead.