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A beautiful new playground – further investigations into i to the power i

Published online by Cambridge University Press:  01 August 2016

Greg Parker  and
Steve Roberts
Greg Parker
Affiliation:
Dept. of Electronics and Computer Science, University of Southampton SO17 1BJ
Steve Roberts
Affiliation:
Dept. of Electronics and Computer Science, University of Southampton SO17 1BJ
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Extract

In an earlier note the iterative behaviour of taking the unit imaginary, i, to higher and higher powers of i was described. This iterative power sequence converged to a limit. In order to make discussion of later developments simpler we need to introduce some definitions.

Type
Articles
Information
The Mathematical Gazette , Volume 82 , Issue 493 , March 1998 , pp. 19 - 25
Copyright
Copyright © Mathematical Association 1998 

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References

1. Parker, G.J. and Abbott, S., Complex power iterations, Math. Gaz. 81 (November 1997) pp. 431–434.10.2307/3619624Google Scholar
2. Devlin, K., Mathematics: the science of patterns, Scientific American Library (1994).Google Scholar