Square duotruncatoalterprism

The square duotruncatoalterprism is a convex isogonal polychoron and the second member of the duotruncatoalterprisms that consists of 8 square prisms, 16 square cupolas, 16 rectangular trapezoprisms and 16 tetragonal disphenoids obtained as the convex hull of two orthogonal square-octagonal duoprisms. However, it cannot be made scaliform.

This polychoron cannot be optimized using the ratio method, because the solution (with intended minimal ratio 1:2) would yield a square duotransitionalterprism instead.