Rectified order-6 hexagonal tiling honeycomb

The rectified order-6 hexagonal tiling honeycomb is a paracompact uniform tiling of 3D hyperbolic space. 2 triangular tilings and 6 trihexagonal tilings meet at each vertex. It is paracompact because it has Euclidean triangular tiling and trihexagonal tiling cells. As the name suggests, it can be derived by rectification of the order-6 hexagonal tiling honeycomb.

Representations
A rectified order-6 hexagonal tiling honeycomb has the following Coxeter diagrams:


 * o6x3o6o (full symmetry)
 * o6x3o3o3*b (half symmetry, ditrigonal prism verf)
 * o6o3x3x3*b (half symmetry, hexagonal frustum verf)
 * x3x3o3o3*a3*c *b3*d (quarter symmetry, ditrigonal trapezoprism verf)