Heptagonal ditetragoltriate

The heptagonal ditetragoltriate is a convex isogonal polychoron and the fifth member of the ditetragoltriates that consists of 14 heptagonal prisms and 49 rectangular trapezoprisms. However, it cannot be made uniform. It is the first in an infinite family of isogonal heptagonal prismatic swirlchora.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$1+{\sin\frac\pi7}\sqrt{2}$$ ≈ 1:1.61360.