Triangular antiditetragoltriate

The triangular antiditetragoltriate or traddet is a convex isogonal polychoron and the first member of the antiditetragoltriate family. It consists of 6 triangular prisms, 18 rectangular pyramids, and 18 tetragonal disphenoids of two kinds. 2 triangular 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 triangular duoprisms where the larger triangle is more than twice the edge length of the smaller one.