  We give an application of a topological dynamics version of multidimensional
Brown's lemma to tiling theory: given a tiling of an Euclidean space and a
finite geometric pattern of points $F$, one can find a patch such that, for
each scale factor $\lambda$, there is a vector $\vec{t}_\lambda$ so that copies
of this patch appear in the tilling "nearly" centered on $\lambda
F+\vec{t}_\lambda$ once we allow "bounded perturbations" in the structure of
the homothetic copies of $F$. Furthermore, we introduce a new unifying setting
for the study of tiling spaces which allows rather general group "actions" on
patches and we discuss the local isomorphism property of tilings within this
setting.
