Square-ditetragonal duoprismatic cupoliprism

The square-ditetragonal duoprismatic cupoliprism or sodipcup is a convex isogonal polyteron and a member of the duoprismatic cupoliprism family. It consists of 2 square-ditetragonal duoprisms, 8 square cupolic prisms, and 8 square cupofastegiums. 1 square-ditetragonal duoprism, 3 square cupolic prisms, and 2 square cupofastegiums join at each vertex. However, it cannot be made scaliform, because the height between the two bases is 0 if all edges are of the same length, making it a small disprismatotesseractihexadecachoron (or square duoexpandoprism) instead.