Simon Tatham 6/10/2024

Beyond the wall: working with aperiodic tilings using finite-state transducers

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This article details a method for working with aperiodic tilings (Penrose, hat, Spectre) using finite-state transducers and combinatorial coordinates. It presents an algorithm derived from regular-language theory that is faster and more capable than previous recursive methods, handling edge cases and generating complex tiling patches. The content includes technical explanations, implementation details, and visual examples.

Beyond the wall: working with aperiodic tilings using finite-state transducers

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