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Evolution of finite sequences of integers …

Published online by Cambridge University Press:  01 August 2016

Fulvio Pompili
Fulvio Pompili*
Affiliation:
via Libero Leonardi, 34 00173 Rome, Italy
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Extract

In the March 1996 issue of the Gazette, [p. 36] the following conjecture by Sir Bryan Thwaites appeared: ‘Take any set of n rational numbers. Form another set by taking the positive differences of successive members of the first set, the last such difference being formed from the last and first members of the original set. Iterate. Then in due course the set so formed will consist entirely of zeroes if and only if n is a power of two.’

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Type
Articles
Information
The Mathematical Gazette , Volume 80 , Issue 488 , July 1996 , pp. 322 - 332
Copyright
Copyright © The Mathematical Association 1996

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References

1. Wolfram, S., Theory and applications of cellular automata, World Scientific (1986).Google Scholar
2. Toffoli, T., Margolus, N., Cellular automata machines, MIT Press (1987).CrossRefGoogle Scholar
3. Peitgen, H.O., Jürgens, H., Saupe, D., Chaos and fractals: new frontiers of science, Springer-Verlag (1993).Google Scholar