Snub triangular-square prismantiprismoid

The snub triangular-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. 1 square antiprism, 1 square gyroprism, 1 triangular antiprism, 1 triangular gyroprism, 2 phyllic disphenoids, and 8 irregular tetrahedra join at each vertex. It can be obtained from the process of alternating a triangular-square truncatoprismantiprismoid. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is approximately $$1.7083821308937466724722985$$.