Hexagonal trioantiprism

The hexagonal trioantiprism, or hittap, is a convex isogonal polypeton that consists of 36 hexagonal duoantiprismatic antiprisms and 864 digonal trisphenoids. 6 of each facet type join at each vertex. It can be obtained through the process of alternating the dodecagonal trioprism. However, it cannot be made uniform.

The ratio between the longest and shortest edges is 1:$$\frac{1+\sqrt3}{2}$$ ≈ 1:1.36603.