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== Relation to this Aperiodic Tiling ==
The binary tiling is related to the one in figure 3 of [http://comp.uark.edu/~strauss/papers/hyp.pdf this paper] about a strongly aperiodic tiling of the hyperbolic plane (in particular, it also uses rectangles in the half-plane model, and they have a picture of the Binary tiling in Figure 1). Should we talk about in the article somehow?
(Maybe we could move this article to [[Böröczky tilings]], and describe all such tilings (including higher dimensional versions).)
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