Snub dodecahedral antiprism

The snub dodecahedral antiprism, omnisnub dodecahedral antiprism, or sniddap, also known as the alternated great rhombicosidodecahedral prism, is a convex isogonal polychoron that consists of 2 snub dodecahedra, 12 pentagonal antiprisms, 20 triangular antiprisms, 30 rhombic disphenoids and 120 irregular tetrahedra. 4 tetrahedra and one of each other type of cell join at each vertex. It can be obtained through the process of alternating the great rhombicosidodecahedral prism. However, it cannot be made uniform, as it generally has 6 edge lengths, which can be minimized to no fewer than 3 different sizes.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{\sqrt{58-2\sqrt5+2\sqrt{110+38\sqrt5}}}{8}$$ ≈ 1:1.12815.