  Four-dimensional euclidean quantum gravity has been studied as a discrete
model based on dynamical triangulations by Ambjorn and Jurkiewicz and by
Agishtein and Migdal. We discuss a particular implementation of a Monte Carlo
simulation of simplicial quantum gravity. As an application we introduce a
non-uniform measure and examine its effect on simple aspects of the
mathematical geometry. We find that the transition region from the hot to the
cold phase is shifted and that the criticality of the transition changes.
