Small birhombatocubic honeycomb

The small birhombatocubic honeycomb or sabirch is an isogonal honeycomb that consists of cuboctahedra, triangular antiprisms, square antipodiums and tetragonal disphenoids obtained as the union of two small rhombated cubic honeycombs.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{\sqrt{340+136\sqrt2}}{17}$$ ≈ 1:1.35720.