Triangular-hexagonal triswirlprism

The triangular-hexagonal triswirlprism is a convex isogonal polychoron and member of the duoprismatic swirlprism family that consists of 9 hexagonal gyroprisms, 18 triangular gyroprisms, and 108 phyllic disphenoids of two kinds. 2 hexagonal gyroprisms, 2 triangular gyroprisms, and 8 phyllic disphenoids join at each vertex. It can be obtained as a subsymmetrical faceting of the enneagonal-octadecagonal duoprism.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\sqrt{\frac{3}{8-6\cos\frac\pi9-2\cos\frac{2\pi}{9}}}$$ ≈ 1:1.90145.