By pouring equal balls into a container one obtains disordered packings with fascinating properties which might
shed light on several elusive properties of complex materials such as amorphous metals or colloids. In any real
experiment with equal-sized spheres one cannot reach packing fractions (fraction of volume occupied by the
spheres respect to the total volume, ρ) below the Random Loose Packing limit (RLP, ρ ~ 0.555) or above the
Random Close Packing limit (RCP, ρ ~ 0.645) unless order is externally induced. What is happening at these
two limits is an open unanswered question. In this paper we address this question by combining statistical
geometry and statistical mechanics methods. Evidences of phase transitions occurring at the RLP and RCP
limits are reported.