Rectified tetrahedral honeycomb

The rectified tetrahedral honeycomb is a paracompact quasiregular tiling of 3D hyperbolic space. 6 octahedra (as tetratetrahedra) and 2 triangular tilings meet at each vertex. It is paracompact because it has Euclidean triangular tiling cells. As the name suggests, it can be derived by rectification of the tetrahedral honeycomb.