Nim fractals
Journal of integer sequences, Tome 17 (2014) no. 7
We enumerate P-positions in the game of Nim in two different ways. In one series of sequences we enumerate them by the maximum number of counters in a pile. In another series of sequences we enumerate them by the total number of counters.
Classification :
91A46, 68Q80
Keywords: combinatorial games, nim, P-position, cellular automaton
Keywords: combinatorial games, nim, P-position, cellular automaton
@article{JIS_2014__17_7_a6,
author = {Khovanova, Tanya and Xiong, Joshua},
title = {Nim fractals},
journal = {Journal of integer sequences},
year = {2014},
volume = {17},
number = {7},
zbl = {1295.91023},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2014__17_7_a6/}
}
Khovanova, Tanya; Xiong, Joshua. Nim fractals. Journal of integer sequences, Tome 17 (2014) no. 7. http://geodesic.mathdoc.fr/item/JIS_2014__17_7_a6/