Séébold, Patrice - Tag-systems for the Hilbert curve

dmtcs:416 - Discrete Mathematics & Theoretical Computer Science, January 1, 2007, Vol. 9 no. 2
Tag-systems for the Hilbert curve

Authors: Séébold, Patrice

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.

Source : oai:HAL:lirmm-00184092v1
Volume: Vol. 9 no. 2
Published on: January 1, 2007
Submitted on: March 26, 2015
Keywords: Peano curves,Hilbert curve,Hilbert words,tag-systems,D0L-systems,cubes,repetition-free words,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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