An optimal algorithm to generate tilings
classification
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math.CO
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tilingsalgorithmgeneratelatticetilingallowsarticlebuilds
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This article builds on Thurston's height functions. His tiling algorithm is reinterpreted using lattice theory and then generalized in order to generate any tiling of a hole-free region. Combined with a natural encoding of tilings by words, this allows the generation of a linear extension of the lattice of the tilings.
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