Triangular-pentagonal duoantiprism

The triangular-pentagonal duoantiprism, also known as the 3-5 duoantiprism, is a convex isogonal polychoron that consists of 6 pentagonal antiprisms, 10 triangular antiprisms and 30 digonal disphenoids obtained through the process of alternating the hexagonal-decagonal duoprism. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$\sqrt{4350+522√5}$/58 ≈ 1:1.28066.