Pyritosnub cubic honeycomb

The pyritosnub cubic honeycomb or pysnich, also called the edge-snub cubic honeycom or esch, is an isogonal honeycomb that consists of snub cubes, pyritosnub cubes, square prisms, rectangular trapezoprisms, and wedges. 1 pyritosnub cube, 1 snub cube, 1 square prism, 1 rectangular trapezoprism, and 3 wedges join at each vertex. obtained as a subsymmetrical faceting of the great prismated cubic honeycomb, alternating half the ocatgons into long rectangles. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:a ≈ 1:1.54602, where a is the second largest real root of 129x8-384x7+68x6+496x5-98x4-256x3+4x2+48x+9.