eng
episciences.org
Discrete Mathematics & Theoretical Computer Science
1365-8050
2007-01-01
Vol. 9 no. 2
10.46298/dmtcs.416
416
journal article
Tag-systems for the Hilbert curve
Patrice Séébold
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.
https://dmtcs.episciences.org/416/pdf
Peano curves
Hilbert curve
Hilbert words
tag-systems
D0L-systems
cubes
repetition-free words
[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]