Triangular duotruncatoalterprism

The triangular duotruncatoalterprism is a convex isogonal polychoron and the first member of the duotruncatoalterprisms that consists of 6 triangular prisms, 12 triangular cupolas, 9 rectangular trapezoprisms and 9 tetragonal disphenoids obtained as the convex hull of two orthogonal triangular-hexagonal duoprisms. However, it cannot be made scaliform.

This polychoron cannot be optimized using the ratio method, because the solution (with intended minimal ratio 1:$$\frac{2+\sqrt2}{2}$$ ≈ 1:1.70711) would yield a triangular duotransitionalterprism instead.