Hendecagonal duotransitionalterprism

The hendecagonal duotransitionalterprism is a convex isogonal polychoron and the tenth member of the duotransitionalterprism family. It consists of 22 hendecagonal trapezorhombihedra, 22 hendecagonal prisms, and 121 rectangular trapezoprisms. 2 hendecagonal trapezorhombihedra, 1 hendecagonal prism, and 2 rectangular trapezoprisms join at each vertex. It can be obtained as the convex hull of two orthogonal hendecagonal-icosidigonal duoprisms. However, it cannot be made scaliform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$1+\sqrt2\cos\frac{\pi}{11}$$ ≈ 1:2.35693.