Digonal double tetraswirlprism

The digonal double tetraswirlprism is a convex isogonal polychoron that consists of 16 tetragonal disphenoids, 48 rhombic disphenoids of three kinds, 32 phyllic disphenoids, and 64 irregular tetrahedra. 2 tetragonal disphenoids, 6 rhombic disphenoids, 4 phyllic disphenoids, and 8 irregular tetrahedra join at each vertex. It can be obtained as the convex hull of two orthogonal digonal-digonal tetraswirlprisms. However, it cannot be made uniform. Together with its dual, it is the third in an infinite family of digonal antiprismatic swirlchora. It is the third in an infinite family of isogonal digonal prismatic swirlchora, the other being the square duoantiprism.

This polychoron cannot be optimized using the ratio method, because the solution (with intended minimal ratio 1:$$\sqrt{2+\sqrt2}$$ ≈ 1:1.84776) would yield a square duoantiprism instead.