Triangular-pentagonal triswirlprism

The triangular-pentagonal triswirlprism is a convex isogonal polychoron and member of the duoprismatic swirlprism family that consists of 9 pentagonal gyroprisms, 15 triangular gyroprisms, and 90 phyllic disphenoids of two kinds. 2 pentagonal gyroprisms, 2 triangular gyroprisms, and 8 phyllic disphenoids join at each vertex. It can be obtained as a subsymmetrical faceting of the enneagonal-pentadecagonal duoprism.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\sqrt{\frac{60}{85+3\sqrt5-3\sqrt{150+30\sqrt5}-40\cos\frac{2\pi}{9}}}$$ ≈ 1:1.88616.