Digonal-hexagonal tetraswirlprism

The digonal-hexagonal tetraswirlprism is a convex isogonal polychoron and member of the duoprismatic swirlprism family that consists of 8 hexagonal gyroprisms, 24 rhombic disphenoids, and 144 phyllic disphenoids of three kinds. 2 hexagonal gyroprisms, 2 rhombic disphenoids, and 12 phyllic disphenoids join at each vertex. It can be obtained as a subsymmetrical faceting of the octagonal-icositetragonal duoprism.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{2}{\sqrt{10-3\sqrt2-2\sqrt6}$$ ≈ 1:2.15869.