Truncated dodecagonal duoprism

The truncated dodecagonal duoprism or tatwaddip is a convex isogonal polychoron that consists of 24 truncated dodecagonal prisms and 144 tetragonal disphenoids. 1 tetragonal disphenoid and 3 truncated dodecagonal prisms join at each vertex. It can be formed by truncating the dodecagonal duoprism.

It can also be obtained as the convex hull of 2 semi-uniform dodecagonal-icositetragonal duoprisms chosen such that the icositetragonal and dodecagonal prisms have the same circumradius. if the icositetragons of this duoprism have edge length 1, the dodecagons have edge length $$1-\sqrt2+\sqrt6 ≈ 2.03528$$.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{1+\sqrt3}{2}$$ ≈ 1:1.36603.