Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-24T15:43:48.052Z Has data issue: false hasContentIssue false

Evolution of finite sequences of integers …

Published online by Cambridge University Press:  01 August 2016

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

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.’

Type
Articles
Copyright
Copyright © The Mathematical Association 1996

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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