Rectified octahedral honeycomb

The rectified octahedral honeycomb, or rocth, is a paracompact quasiregular tiling of 3D hyperbolic space. 2 square tilings and 4 cuboctahedra 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 octahedral honeycomb.

Representatoins
A rectified octahedral honeycomb has the following Coxeter diagrams:


 * o4o4x3o (full symmetry)
 * o4x4o *b3o (half symmetry, cuboid verf)
 * x3o3x4o4*a (rectangular trapezoprism verf)