Hexagonal duoantiprismatic antiprism

The hexagonal duoantiprismatic antiprism, or hiddapap, is a convex isogonal polyteron that consists of 2 hexagonal duoantiprisms, 24 digonal-hexagonal duoantiprisms, and 144 tetragonal disphenoidal pyramids. 1 hexagonal duoantiprism, 4 digonal-hexagonal duoantiprisms, and 5 tetragonal disphenoidal pyramids join at each vertex. It can be obtained through the process of alternating the dodecagonal duoprismatic prism. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{1+\sqrt3}{2}$$ ≈ 1:1.36603.