Digonal-pentagonal tetraswirlprism

The digonal-pentagonal tetraswirlprism is a convex isogonal polychoron and member of the duoprismatic swirlprism family that consists of 8 pentagonal gyroprisms, 20 rhombic disphenoids, and 120 phyllic disphenoids of three kinds. 2 pentagonal gyroprisms, 2 rhombic disphenoids, and 12 phyllic disphenoids join at each vertex. It can be obtained as a subsymmetrical faceting of the octagonal-icosagonal duoprism.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\sqrt{\frac{20}{30-5\sqrt2+4\sqrt5-5\sqrt{10+2\sqrt5}-\sqrt{50+10\sqrt5}}}$$ ≈ 1:2.14532.