Truncated pentagonal duoprism

The truncated pentagonal duoprism or tapedip is a convex isogonal polychoron that consists of 10 truncated pentagonal prisms and 25 tetragonal disphenoids. 1 tetragonal disphenoid and 3 truncated pentagonal prisms join at each vertex. It can be formed by truncating the pentagonal duoprism.

It can also be obtained as the convex hull of 2 semi-uniform pentagonal-decagonal duoprisms chosen such that the decagonal and pentagonal prisms have the same circumradius. if the decagons of this duoprism have edge length 1, the pentagons have edge length $$\sqrt5 ≈ 2.23607$$.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{\sqrt{3+\sqrt5}}{2}$$ ≈ 1:1.14412.