Pentagonal ditetragoltriate

The pentagonal ditetragoltriate is a convex isogonal polychoron and the third member of the ditetragoltriates that consists of 10 pentagonal prisms and 25 rectangular trapezoprisms. However, it cannot be made uniform. It is the first in an infinite family of isogonal pentagonal prismatic swirlchora.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{2+\sqrt{5-\sqrt5}}{2}$$ ≈ 1:1.83125.