Pentagonal duoantiprismatic antiprism

The pentagonal duoantiprismatic antiprism, or pedapap, is a convex isogonal polyteron that consists of 2 pentagonal duoantiprisms, 20 digonal-pentagonal duoantiprisms, and 100 tetragonal disphenoidal pyramids. 1 pentagonal duoantiprism, 4 digonal-pentagonal duoantiprisms, and 5 tetragonal disphenoidal pyramids join at each vertex. It can be obtained through the process of alternating the decagonal duoprismatic prism. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{\sqrt{5+\sqrt5}}{2}$$ ≈ 1:1.34500.