  Over the past six years, a detailed framework has been constructed to unravel
the quantum nature of the Riemannian geometry of physical space. A review of
these developments is presented at a level which should be accessible to
graduate students in physics. As an illustrative application, I indicate how
some of the detailed features of the micro-structure of geometry can be tested
using black hole thermodynamics. Current and future directions of research in
this area are discussed.
