Decagonal ditetragoltriate

The decagonal ditetragoltriate is a convex isogonal polychoron and the eighth member of the ditetragoltriates that consists of 20 decagonal prisms and 100 rectangular trapezoprisms. However, it cannot be made uniform. It is the first in an infinite family of isogonal decagonal prismatic swirlchora.

This polychoron can be alternated into the grand antiprism, which is uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{2+\sqrt{3-\sqrt5}}{2}$$ ≈ 1:1.43702.