Aperiodic Tilings V: the Refinable Frontier
Read OriginalThis technical article, part of a series on aperiodic tilings, addresses the challenge of ambiguous substitution systems that prevent the construction of deterministic finite-state transducers for coordinate tracking. It details a method to algorithmically refine such systems into unambiguous versions, allowing for reliable tiling generation and neighbor-finding, with examples applied to known aperiodic sets like the Spectre and hat tilings.
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