Snub rectified cubic honeycomb

The snub rectified cubic honeycomb or serch is an isogonal honeycomb that consists of snub cubes, pyritohedral icosahedra, tetragonal disphenoids, and sphenoids. 2 snub cubes, 1 pyritohedral icosahedron, 1 tetragonal disphenoid, and 4 sphenoids join at each vertex. It can be obtained through the process of alternating the great rhombated cubic honeycomb.

Although it cannot be made uniform, a version of this honeycomb with uniform snub cubes exists, in this case it will have two different edge lengths with ratio of ~1.04277.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:a ≈ 1:1.02551, where a is the second largest real root of 43x6-138x4+128x2-32=0, and is therefore a near-miss uniform polyhedral honeycomb.