Snub trihexagonal antiprismatic honeycomb

The snub trihexagonal antiprismatic 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 snub trihexagonal antiprismatic honeycomb has three variations in its highest symmetry, optimization gives the following edge lengths as:


 * $$0.9171078884112619479060666$$
 * $$1$$
 * $$1.0434027474148006332326514$$