• Corpus ID: 17788465

Nim Fractals

@article{Khovanova2014NimF,
  title={Nim Fractals},
  author={Tanya Khovanova and Joshua Xiong},
  journal={J. Integer Seq.},
  year={2014},
  volume={17},
  pages={14.7.8}
}
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. We show that the game of Nim can be viewed as a cellular automaton, where the total number of counters divided by 2 can be considered as a generation in which P-positions are born. We prove that the three-pile Nim sequence enumerated by the total number of… 

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