Square-pentagonal duoantiprism

The square-pentagonal duoantiprism, also known as the 4-5 duoantiprism, is a convex isogonal polychoron that consists of 8 pentagonal antiprisms, 10 square antiprisms and 40 digonal disphenoids obtained through the process of alternating the octagonal-decagonal duoprism. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$\sqrt{7905+2790√2+93√655+450√2}$/93 ≈ 1:1.32536.