Triangular-pentagonal tetraswirlprism

The triangular-pentagonal tetraswirlprism is a convex isogonal polychoron and member of the duoprismatic swirlprism family that consists of 12 pentagonal gyroprisms, 20 triangular gyroprisms, and 180 phyllic disphenoids of three kinds. 2 pentagonal gyroprisms, 2 triangular gyroprisms, and 12 phyllic disphenoids join at each vertex. It can be obtained as a subsymmetrical faceting of the dodecagonal-icosagonal duoprism.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\sqrt{\frac{60}{100-20\sqrt3+12\sqrt5-15\sqrt{10+2\sqrt5}-3\sqrt{50+10\sqrt5}}}$$ ≈ 1:2.49884.