The Four Number Game

Details The Four Number Game The Four Number Game

2011-08-31

arxiv.org/abs/1109.0051v1

Mathematics

Dynamical Systems

This paper has been difficult for later researchers to locate. Zhenghan Wang kindly reformated it to be available to arXiv rea

Scientific paper

Taking the absolute value of consecutive differences of a cyclicly ordered
list of integers constitutes a simple dynamical system. For lists of lenght a
power of two the process will terminate in all zeros, but examples with
arbitarily long "lives" can be generated. For other lenghts the system can be
asymptotically cyclic.

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