We explore an extended notion of a tiling of translational finite local complexity (FLC) being substitutional, or hierarchical, to Euclidean `patterns' and define, more generally, a similar notion for spaces of patterns. We prove recognisability …
We show that Kellendonk’s tiling semigroup of a finite local complexity substitution tiling is self-similar, in the sense of Bartholdi, Grigorchuk and Nekrashevych. We extend the notion of the limit space of a self-similar group to the setting of …