The Four Number Game
Dynamical Systems
2011-09-02 v1
Abstract
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.
Cite
@article{arxiv.1109.0051,
title = {The Four Number Game},
author = {Benedict Freedman},
journal= {arXiv preprint arXiv:1109.0051},
year = {2011}
}
Comments
This paper has been difficult for later researchers to locate. Zhenghan Wang kindly reformated it to be available to arXiv readers; Scripta Mathematica vol. 14, 1948