Great birhombitetrahedral honeycomb

The great birhombitetrahedral honeycomb or gabreth is an isogonal honeycomb that consists of great rhombitetratetrahedra, ditrigonal trapezoprisms and rectangular trapezoprisms obtained as a subsymmetrical faceting of the great prismated cubic honeycomb. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:2.