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Journal Articles Discrete Mathematics and Theoretical Computer Science Year : 2007

Tag-systems for the Hilbert curve

Abstract

Hilbert words correspond to finite approximations of the Hilbert space filling curve. The Hilbert infinite word H is obtained as the limit of these words. It gives a description of the Hilbert (infinite) curve. We give a uniform tag-system to generate automatically H and, by showing that it is almost cube-free, we prove that it cannot be obtained by simply iterating a morphism.
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Dates and versions

lirmm-00184092 , version 1 (30-10-2007)
lirmm-00184092 , version 2 (03-06-2014)

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Cite

Patrice Séébold. Tag-systems for the Hilbert curve. Discrete Mathematics and Theoretical Computer Science, 2007, 9 (2), pp.213-226. ⟨10.46298/dmtcs.416⟩. ⟨lirmm-00184092v2⟩
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