Square antiditetragoltriate

The square antiditetragoltriate or squaddet is a convex isogonal polychoron and the second member of the antiditetragoltriate family. It consists of 8 square prisms, 32 rectangular pyramids, and 32 tetragonal disphenoids of two kinds. 2 square 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 square duoprisms where the larger square is more than $$\sqrt2$$ times the edge length of the smaller one.