Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-14T07:19:27.635Z Has data issue: false hasContentIssue false
  • English
  • Français

Applications of Fibonacci numbers

Published online by Cambridge University Press:  22 September 2016

M. H. Eggar
M. H. Eggar*
Affiliation:
Department of Mathematics, Edinburgh University, EH9 3JZ
Get access Rights & Permissions [Opens in a new window]

Extract

One card up the sleeve of many a teacher of mathematics involves the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34,…, in which each number is the sum of the preceding two. These numbers and the closely related golden ratio (√5 − 1):2 have intriguing geometric and algebraic properties and appear mysteriously in nature ([1], 160-172). The main purpose of this article, which stems from a recent talk to prizewinners in the Scottish schools’ problem competition, Mathematical Challenge, is to advertise some less widely known occurrences. A reader interested in further references to any part of this article is invited to contact the author, who himself is grateful to several colleagues.

Type
Research Article
Information
The Mathematical Gazette , Volume 63 , Issue 423 , March 1979 , pp. 36 - 39
Copyright
Copyright © Mathematical Association 1979

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. Coxeter, H. S. M., Introduction to geometry. Wiley (1967).Google Scholar
2. Pickford, R. W., Psychology and visual aesthetics. Hutchinson (1972).Google Scholar
3. Lendvai, E., Béla Bartok: an analysis of his music. Kahn and Averill (1971).Google Scholar
4. Walsh, G. R., Methods of optimization. Wiley (1975).Google Scholar
5. Davis, M., Hubert’s tenth problem is unsolvable, Am. Math. Mon. 80, 233–269(1973).CrossRefGoogle Scholar