  A discretized version of canonical quantum gravity proposed by Loll is
investigated. After slightly modifying Loll's discretized Hamiltonian
constraint, we encode its action on the spin network states in terms of
combinatorial topological manipulations of the lattice loops. Using this
topological formulation we find new solutions to the discretized Wheeler-Dewitt
equation. These solutions have their support on the connected set of
plaquettes. We also show that these solutions are not normalizable with respect
to the induced heat-kernel measure on $SL(2,{\bf C})$ gauge theories.
