Snub bimesocubic honeycomb

The snub bimesocubic honeycomb is an isogonal honeycomb that consists of pyritohedral icosahedra, triangular antiprisms, and sphenoids. 2 pyritohedral icosahedra, 4 triangular antiprisms, and 8 sphenoids join at each vertex. It can be obtained through the process of alternating the bimesotruncatocubic honeycomb. It cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{\sqrt{8+2\sqrt3}}{2}$$ ≈ 1:1.69293.

Each cell of this honeycomb has bilateral symmetry, with 2 trapezoids, 2 isosceles triangles, and 2 scalene triangles for faces.