Snub bicubic honeycomb

The snub bicubic honeycomb or snich is an isogonal honeycomb that consists of snub cubes, square antiprisms and phyllic disphenoids obtained through the process of alternating 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:$\sqrt{15}$/3 ≈ 1:1.29099.

Optimization
Since the snub bicubic honeycomb has one degree of variation in its highest symmetry, optimization gives the following edge lengths as (via the absolute-value method):


 * $\sqrt{30}$/6 ≈ 0.9128709291752768557616163
 * 1
 * $\sqrt{30+12√3}$/6 ≈ 1.1877220224122137147982266

Using the ratio method, the edge lengths are:


 * $\sqrt{3}$/2 ≈ 0.8660254037844386467637232
 * 1
 * $\sqrt{5}$/2 ≈ 1.1180339887498948482045868