Slopes of 3-dimensional Subshifts of Finite Type
Abstract
In this paper we study the directions of periodicity of three-dimensional subshifts of finite type (SFTs) and in particular their slopes. A configuration of a subshift has a slope of periodicity if it is periodic in exactly one direction, the slope being the angle of the periodicity vectors. In this paper, we prove that any 02 set may be realized as a a set of slopes of an SFT.
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