Snub triangular prismantiprismoid

The triangular truncatoprismantiprismoid is a convex isogonal polychoron and the second member of the truncatoprismantiprismoids that consists of 24 triangular antiprisms of two kinds, 18 tetragonal disphenoids and 72 irregular tetrahedra 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:$\sqrt{27+3√33}$/4 ≈ 1:1.66271.