Triangular-hexagonal duoantiprism

The triangular-hexagonal duoantiprism, also known as the 3-6 duoantiprism, is a convex isogonal polychoron that consists of 6 hexagonal antiprisms, 12 triangular antiprisms and 36 digonal disphenoids obtained through the process of alternating the hexagonal-dodecagonal duoprism. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$\sqrt{462+198√3}$/22 ≈ 1:1.28962.