Snub digonal-triangular prismantiprismoid

The snub digonal-triangular prismantiprismoid is a convex isogonal polychoron that consists of 4 triangular antiprisms, 4 triangular gyroprisms, 6 tetragonal disphenoids, 6 rhombic disphenoids, 12 phyllic disphenoids, and 48 irregular tetrahedra of two kinds. 1 triangular antiprism, 1 triangular gyroprism, 1 tetragonal disphenoid, 1 rhombic disphenoid, 2 phyllic disphenoids, and 8 irregular tetrahedra join at each vertex. It can be obtained from the process of alternating a digonal-triangular truncatoprismantiprismoid. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:a ≈ 1:1.51285, where a is the second-largest real root of 25a6-183a4+339a2-117.