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Tag-systems for the Hilbert curve

Patrice Séébold 1, 2 
1 ARITH - Arithmétique informatique
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
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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  • HAL Id : lirmm-00184092, version 2


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



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