Triangular-hexagonal duoantiprismatic antiprism

The triangular-hexagonal duoantiprismatic antiprism, or thiddapap, is a convex isogonal polyteron that consists of 2 triangular-hexagonal duoantiprisms, 6 digonal-hexagonal duoantiprisms, 12 digonal-triangular duoantiprisms, and 72 digonal disphenoidal pyramids. 1 triangular-hexagonal duoantiprism, 2 digonal-hexagonal duoantiprisms, 2 digonal-triangular duoantiprisms, and 5 digonal disphenoidal pyramids join at each vertex. It can be obtained through the process of alternating the hexagonal-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:$$\sqrt{\frac{21+9\sqrt3}{22}}$$≈ 1:1.28962.