Cantic bisnub cubic honeycomb

The cantic bisnub cubic honeycomb is an isogonal honeycomb that consists of pyritosnub cubes, square prisms, and rectangular trapezoprisms. 2 pyritosnub cubes, 2 square prisms, and 2 rectangular trapezoprisms join at each vertex. It can be obtained as a subsymmetrical faceting of the great prismated cubic honeycomb, faceting all the great rhombicuboctahedra into pyritosnub cubes. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{3+\sqrt6}{3}$$ ≈ 1:1.81650.