Truncated heptagonal duoprism

The truncated heptagonal duoprism or tahedip is a convex isogonal polychoron that consists of 14 truncated heptagonal prisms and 49 tetragonal disphenoids. 1 tetragonal disphenoid and 3 truncated heptagonal prisms join at each vertex. It can be formed by truncating the heptagonal duoprism.

It can also be obtained as the convex hull of 2 semi-uniform heptagonal-tetradecagonal duoprisms chosen such that the tetradecagonal and heptagonal prisms have the same circumradius. if the tetradecagons of this duoprism have edge length 1, the heptagons have edge length $$1+\frac{1}{\cos\frac\pi7} ≈ 2.10992$$.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{2\cos\frac\pi7}{\sqrt2}$$ ≈ 1:1.27416.