Small omnisnub bidecachoron

The small omnisnub bidecachoron or sosbid is a convex isogonal polychoron that consists of 10 snub tetrahedra, 20 triangular antiprisms, 20 triangular gyroprisms, 30 tetragonal disphenoids, 60 phyllic disphenoids, and 240 irregular tetrahedra of two kinds. 1 snub tetrahedron, 1 triangular antiprism, 1 triangular gyroprism, 1 tetragonal disphenoid, 2 phyllic disphenoids, and 8 irregular tetrahedra join at each vertex. It can be obtained through the process of alternating the small biomnitruncatodecachoron. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{\sqrt{633-25\sqrt15+\sqrt{198531-30180\sqrt15}}}{21}$$ ≈ 1:1.36519.