Rectified square tiling honeycomb

The rectified square tiling honeycomb (or Cantellated order-4 square tiling honeycomb) is a paracompact quasiregular tiling of 3D hyperbolic space. 2 cubes and 3 square tilings (as rectified square tilings) meet at each vertex. It is paracompact because it has Euclidean square tiling cells. As the name suggests, it can be derived by rectification of the square tiling honeycomb.