Small biomnisnub decachoron

The small biomnisnub decachoron or sabosid is a convex isogonal polychoron that consists of 10 snub tetrahedra, 40 triangular gyroprisms of two kinds, 30 rhombic disphenoids, 120 phyllic disphenoids of two kinds, and 360 irregular tetrahedra of two kinds. 1 snub tetrahedron, 2 triangular gyroprisms, 1 rhombic disphenoid, 4 phyllic disphenoids, and 8 irregular tetrahedra join at each vertex. It is one of a total of 8 polychora that can be obtained as the convex hull of 2 opposite snub pentachora.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:a ≈ 1:1.66523, where a is the largest real root of 5329a12-23652a10+41382a8-37052a6+18052a4-4560a2+468.