Edge-snub trihexagonal prismatic honeycomb

The edge-snub triangular prismatic honeycomb is an isogonal honeycomb that consists of ditrigonal trapezoprisms, triangular gyroprisms, and wedges. 2 ditrigonal trapezoprisms, 2 triangular gyroprisms, and 6 wedges join at each vertex. It can be obtained as a subsymmetrical faceting of the great rhombitrihexagonal prismatic honeycomb, faceting the dodecagons into ditrigons. However, it cannot be made uniform.

The sectioning facet underneath the alternatingly omitted edge of the prismatic pre-image honeycomb clearly is bistratic (the trapezial biwedge), which are subdivided into two wedges.

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


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