Square-hexagonal triswirlprism

The square-hexagonal triswirlprism is a convex isogonal polychoron and member of the duoprismatic swirlprism family that consists of 12 hexagonal gyroprisms, 18 square gyroprisms, and 144 phyllic disphenoids of two kinds. 2 hexagonal gyroprisms, 2 square gyroprisms, and 8 phyllic disphenoids join at each vertex. It can be obtained as a subsymmetrical faceting of the dodecagonal-octadecagonal duoprism.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\sqrt{\frac{2}{6-\sqrt3-4\cos\frac\pi9}}$$ ≈ 1:1.63274.