Digonal duotruncatoalterantiprism

The digonal duotruncatoalterantiprism is a convex isogonal polychoron and the first member of the duotruncatoalterantiprisms that consists of 16 wedges, 32 isosceles trapezoidal pyramids, 24 tetragonal disphenoids of two kinds and 16 digonal disphenoids obtained as the convex hull of two orthogonal digonal-square prismantiprismoids. However, it cannot be made scaliform.

This polychoron cannot be optimized using the ratio method, because the solution (with intended minimal ratio 1:$$\sqrt2$$ ≈ 1:1.41421) would yield a rectified tesseract instead.