Edge-snub trihexagonal prismatic honeycomb

The edge-snub triangular prismatic honeycomb is an isogonal honeycomb that consists of ditrigonal trapezoprisms, triangular antiprisms and wedges obtained as a subsymmetrical faceting of the great rhombitrihexagonal prismatic honeycomb. However, it cannot be made uniform.

Optimization
Since the edge-snub triangular prismatic honeycomb has three variations in its highest symmetry, optimization gives the following edge lengths as:


 * $$1$$
 * $$root(7x^4-10x^3-10x^2+10x+6, 3) ≈ 1.3268170959556440919234783$$