Hendecagonal antiditetragoltriate

The hendecagonal antiditetragoltriate or henadet is a convex isogonal polychoron and the ninth member of the antiditetragoltriate family. It consists of 22 hendecagonal prisms, 242 rectangular pyramids, and 242 tetragonal disphenoids of two kinds. 2 hendecagonal prisms, 4 tetragonal disphenoids, and 5 rectangular pyramids join at each vertex. However, it cannot be made scaliform.

It can be formed as the convex hull of 2 oppositely oriented semi-uniform hendecagonal duoprisms where the larger hendecagon is more than $$\frac{1}{\cos\frac{\pi}{11}}$$ times the edge length of the smaller one.