Dodecagonal duotransitionalterprism

The dodecagonal duotransitionalterprism is a convex isogonal polychoron and the eleventh member of the duotransitionalterprism family. It consists of 24 dodecagonal trapezorhombihedra, 24 dodecagonal prisms, and 144 rectangular trapezoprisms. 2 dodecagonal trapezorhombihedra, 1 dodecagonal prism, and 2 rectangular trapezoprisms join at each vertex. It can be obtained as the convex hull of two orthogonal dodecagonal-didoecagonal duoprisms. However, it cannot be made scaliform.

This polychoron can be alternated into a hexagonal duotransitionalterantiprism, which is also not scaliform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{3+\sqrt3}{2}$$ ≈ 1:2.36603.