  Due to the unrecognizability of certain manifolds there must exist pairs of
triangulations of these manifolds that can only be reached from each other by
going through an intermediate state that is very large. This might reduce the
reliability of dynamical triangulation, because there will be states that will
not be reached in practice. We investigate this problem numerically for the
manifold $S^5$, which is known to be unrecognizable, but see no sign of these
unreachable states.
