  In the weak-coupling limit, kappa_0 going to infinity, the partition function
of simplicial quantum gravity is dominated by an ensemble of triangulations
with the ratio N_0/N_D close to the upper kinematic limit. For a combinatorial
triangulation of the D--sphere this limit is 1/D. Defining an ensemble of
maximal triangulations, i.e. triangulations that have the maximal possible
number of vertices for a given volume, we investigate the properties of this
ensemble in three dimensions using both Monte Carlo simulations and a
strong-coupling expansion of the partition function, both for pure simplicial
gravity and a with a suitable modified measure. For the latter we observe a
continuous phase transition to a crinkled phase and we investigate the fractal
properties of this phase.
