Further sources of Information on Fibonacci Numbers and the Golden Section

This is a page of WWW links to other sites on Fibonacci numbers and the Golden section in general, together with a list of useful books and articles that are recommended for further reading. Most links are now incorprated next to their application on Dr Ron Knott's Fibonacci webpages.

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987 ..More.. Calculator

Other WWW pages on Fibonacci and his series

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987 ..More.. Calculator

Useful book references

More fascinating facts on Fibonacci numbers:
The primary source for all information on the Fibonacci Numbers, the golden section and related topics is The Fibonacci Quarterly published by The Fibonacci Association. In particular an Index of all article titles is useful for finding what has been published already on your topic of interest. It starts from Volume 1 in 1963.
The journal has some excellent introductory articles in its earlier volumes, a first-class resource for teachers at all levels from primary school to post-graduate.
The Fibonacci Association has put online a number of free PDF versions of popular books they have produced: see this list. Puzzle books by Henry E Dudeney
amazon.com and amazon.co.uk are on-line sources for ordering books recommended at this site.


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0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987 ..More.. Calculator

Some Speculations

Some speculations about the Fibonacci numbers and some propositions about Phi - not proved, just conjectures, but for your interest!
(o) John Harris of Canada has been working for over 30 years on some aspects of astronomy - in particular, a rejection of Bode's Law (one explanation of why the mean distances of the planets from the sun are as they are). His own research into the statistics of orbits, and it involves Phi. He speculates about the history of this subject - what do you think? [John's pages need some familiarity with logarithms and log graphs as well as astronomical terms such as synodic period.]
Here for instance is a good way to remember the approximate mean distances of each planet from the sun in terms in Astronomical Units (AUs). One AU is is the mean distance of the earth from the sun so other planet's distances are measured in terms of the earth's.
PlanetMean distanceF(n)/3
Mercury 0.41/3 = 0.33
Venus0.72/3 = 0.67
Earth1.03/3 = 1.0
Mars1.55/3 = 1.7
Asteroids2.88/3 = 2.7
Jupiter5.013/3 = 4.3
-21/3 = 7
Saturn1034/3 = 11
Uranus2055/3 = 18
Neptune3089/3 = 30
Pluto40144/3 = 48
with thanks to Alanas for this data

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updated 25 September 2016