Pentagonal trioantiprism

The pentagonal trioantiprism, or pettap, is a convex isogonal polypeton that consists of 30 pentagonal duoantiprismatic antiprisms and 500 digonal trisphenoids. 6 of each facet type join at each vertex. It can be obtained through the process of alternating the decagonal trioprism. However, it cannot be made uniform.

The ratio between the longest and shortest edges is 1:$$\frac{\sqrt{5+\sqrt5}}{2}$$ ≈ 1:1.34500.