Relativistic Kinematic Honeycombs

In this paper, we study the honeycombs of the relativistic velocities space using the fact that this space has a hyperbolic space structure. For the three-dimensional case there are only four of these honeycombs with bounded cells and, since in this space there is a characteristic length, the cells have a fixed size. This fact, strongly limit the possible relative velocities between the vertices of the honeycombs. We consider as a possible application to cosmology the interpretation of these honeycombs as discrete large scale mass distribution.