Great rhombitrihexagonal prismatic honeycomb

The great rhombitrihexagonal prismatic honeycomb, or grothaph, also known as the omnitruncated trihexagonal prismatic honeycomb, or otathaph, is a convex uniform honeycomb. 2 cubes, 2 hexagonal prisms, and 2 dodecagonal prisms join at each vertex of this honeycomb. As the name suggests, it is the honeycomb product of the great rhombitrihexagonal tiling and the apeirogon.

This honeycomb can be alternated into a snub trihexagonal antiprismatic honeycomb, although it cannot be made uniform. The dodecagons can also be alternated into long ditrigons to create an edge-snub triangular prismatic honeycomb, which is also nonuniform.

Representations
A great rhombitrihexagonal prismatic honeycomb has the following Coxeter diagrams:


 * x∞o x6x3x (full symmetry)
 * x∞x x6x3x