Geodesic
Tag-systems for the Hilbert curve
Discrete mathematics & theoretical computer science, Tome 9 (2007) no. 2.

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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. 
@article{DMTCS_2007_9_2_a17,
     author = {S\'e\'ebold, Patrice},
     title = {Tag-systems for the {Hilbert} curve},
     journal = {Discrete mathematics & theoretical computer science},
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     volume = {9},
     number = {2},
     year = {2007},
     doi = {10.46298/dmtcs.416},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.416/}
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Séébold, Patrice. Tag-systems for the Hilbert curve. Discrete mathematics & theoretical computer science, Tome 9 (2007) no. 2. doi : 10.46298/dmtcs.416. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.416/

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