10.46298/dmtcs.416
https://dmtcs.episciences.org/416
Séébold, Patrice
Patrice
Séébold
Tag-systems for the Hilbert curve
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.
episciences.org
Peano curves
Hilbert curve
Hilbert words
tag-systems
D0L-systems
cubes
repetition-free words
[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
2015-06-09
2007-01-01
2007-01-01
en
journal article
https://hal.science/lirmm-00184092v1
1365-8050
https://dmtcs.episciences.org/416/pdf
VoR
application/pdf
Discrete Mathematics & Theoretical Computer Science
Vol. 9 no. 2
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