Digonal duotruncatoalterantiprism

The digonal duotruncatoalterantiprism is a convex isogonal polychoron and the first member of the duotruncatoalterantiprisms. It consists of 16 wedges, 32 isosceles trapezoidal pyramids, 24 tetragonal disphenoids of two kinds, and 16 digonal disphenoids. 3 wedges, 5 isosceles trapezoidal pyramids, 3 tetragonal disphenoids, and 2 digonal disphenoids join at each vertex. It can be 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.