Octagonal antiditetragoltriate

The octagonal antiditetragoltriate or oadet is a convex isogonal polychoron and the sixth member of the antiditetragoltriate family. It consists of 16 octagonal prisms, 128 rectangular pyramids, and 128 tetragonal disphenoids of two kinds. 2 octagonal prisms, 4 tetragonal disphenoids, and 5 rectagnular 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 octagonal duoprisms where the larger octagon is more than $$\sqrt{4-2\sqrt2}$$ times the edge length of the smaller one.