Triangular duotransitionalterprism

The triangular duotransitionalterprism is a convex isogonal polychoron and the first member of the duotransitionalterprisms that consists of 6 triangular trapezorhombihedra, 6 triangular prisms and 9 rectangular trapezoprisms obtained as the convex hull of two orthogonal triangular-hexagonal duoprisms. However, it cannot be made scaliform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{2+\sqrt2}{2}$$ ≈ 1:1.70711.