Geodesic
On Finite State Automation of 4 Stones which Makes the
Matematičeskoe obrazovanie, Tome 77 (2016) no. 1, pp. 23-43

Voir la notice de l'article provenant de la source Math-Net.Ru

A finite state automation of 4 stones is constructed to make the round of $\mathbb{Z}^k$ for a polynomial time. Some estimates of the optimal number of stones are discussed.
Keywords: The state machine, stone, crawling $k$-dimensional space, polynomial time visiting points. 
@article{MO_2016_77_1_a4,
     author = {D. V. Gusev},
     title = {On {Finite} {State} {Automation} of 4 {Stones} which {Makes} the},
     journal = {Matemati\v{c}eskoe obrazovanie},
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     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2016_77_1_a4/}
}
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D. V. Gusev. On Finite State Automation of 4 Stones which Makes the. Matematičeskoe obrazovanie, Tome 77 (2016) no. 1, pp. 23-43. http://geodesic.mathdoc.fr/item/MO_2016_77_1_a4/