Pentagonal duotransitionalterprism

The pentagonal duotransitionalterprism is a convex isogonal polychoron and the third member of the duotransitionalterprism family. It consists of 10 pentagonal trapezorhombihedra, 10 pentagonal prisms, and 25 rectangular trapezoprisms. 2 pentagonal trapezorhombihedra, 1 pentagonal prism, and 2 rectangular trapezoprisms join at each vertex. It can be obtained as the convex hull of two orthogonal pentagonal-decagonal duoprisms. However, it cannot be made scaliform.