Square-ditetragonal duoprismatic cupoliprism

The square-octagonal duoprismatic cupoliprism or sodipcup is a convex isogonal duoprismatic cupoliprism that consists of 2 square-ditetragonal duoprisms, 8 square cupolaic prisms and 8 square prismatocupolas. 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 instead.