Snub triangular prismantiprismoid

The snub triangular prismantiprismoid is a convex isogonal polychoron that consists of 24 triangular gyroprisms of two kinds, 18 tetragonal disphenoids, and 72 irregular tetrahedra. 4 triangular gyroprisms, 2 tetragonal disphenoids, and 8 irregular tetrahedra join at each vertex. It can be obtained from the process of alternating a triangular truncatoprismantiprismoid. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{\sqrt{27+3\sqrt{33}}}{4}$$ ≈ 1:1.66271.