Snub trihexagonal antiprismatic honeycomb

The snub trihexagonal antiprismatic honeycomb is an isogonal honeycomb that consists of hexagonal gyroprisms, triangular gyroprisms, rhombic disphenoids, and irregular tetrahedra. 2 hexagonal gyroprisms, 2 triangular gyroprisms, 2 tetragonal disphenoids, an 8 irregular tetrahedra join at each vertex. It can be obtained through the process of alternating 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