Digonal-hexagonal triswirlprism

The digonal-hexagonal triswirlprism is a convex isogonal polychoron and member of the duoprismatic swirlprism family that consists of 6 hexagonal gyroprisms, 18 rhombic disphenoids, and 72 phyllic disphenoids of two kinds. 2 hexagonal gyroprisms, 2 rhombic disphenoids, and 8 phyllic disphenoids join at each vertex. It can be obtained as a subsymmetrical faceting of the hexagonal-octadecagonal duoprism.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:\frac{2}{\sqrt{9-8\cos\frac{\pi}{9}}} ≈ 1:1.64263.