Pentagonal-hexagonal duoantiprism

The pentagonal-hexagonal duoantiprism, also known as the 5-6 duoantiprism, is a convex isogonal polychoron that consists of 10 hexagonal antiprisms, 12 pentagonal antiprisms and 60 digonal disphenoids obtained through the process of alternating the decagonal-dodecagonal duoprism. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$\sqrt{192800+79530√3+482√19955+11500√3}$/482 ≈ 1:1.35539.