Pentagonal-hexagonal triswirlprism

The pentagonal-hexagonal triswirlprism is a convex isogonal polychoron and member of the duoprismatic swirlprism family that consists of 15 hexagonal gyroprisms, 18 pentagonal gyroprisms, and 180 phyllic disphenoids of two kinds. 2 hexagonal gyroprisms, 2 pentagonal gyroprisms, and 8 phyllic disphenoids join at each vertex. It can be obtained as a subsymmetrical faceting of the pentadecagonal-octadecagonal duoprism.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\sqrt{\frac{20}{55+\sqrt5-\sqrt{150+30\sqrt5}-40\cos\frac\pi9}}$$ ≈ 1:2.01729.