Digonal duotransitionalterantiprism

The digonal duotransitionalterantiprism is a convex isogonal polychoron and the first member of the duotransitionalterantiprism family. It consists of 8 biwedges, 32 isosceles trapezoidal pyramids, and 24 tetragonal disphenoids of two kinds. 2 biwedges, 3 tetragonal dispheniods, and 5 isosceles trapezoidal pyramids join at each vetex. It can be obtained as an alternation of the square duotransitionalterprism. 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.