References on Fibonacci and Golden Section

^^ means the reference is to a book (and any link will take you to more information about the book and an on-line site from which you can purchase it);

^^^ means the reference is to an article in a magazine or a paper in a scientific periodical. indicates a link to another web site.

Excellent books which cover similar material to that which you have found on this page are produced by Trudi Garland and Mark Wahl:

^^ Mathematical Mystery Tour by Mark Wahl, 1989, is full of many mathematical investigations, illustrations, diagrams, tricks, facts, notes as well as guides for teachers using the material. It is a great resource for your own investigations.

Books by Trudi Garland:

^^Fascinating Fibonaccisby Trudi Hammel Garland.

This is a really excellent book - suitable for all, and especially good for teachers seeking more material to use in class.

Trudy is a teacher in California and has some more information on her book. (You can even Buy it online now!)

She also has published several posters, including one on the golden section suitable for a classroom or your study room wall.

You should also look at her other Fibonacci book too:

^^ Fibonacci Fun: Fascinating Activities with Intriguing Numbers Trudi Hammel Garland - a book for teachers. Click on the book image and you can buy it online now.

^^ Sex ratio and sex allocation in sweat bees (Hymenoptera: Halictidae) D Yanega, in Journal of Kansas Entomology Society, volume 69 Supplement, 1966, pages 98-115.

Because of the imbalance in the family tree of honeybees, the ratio of male honeybees to females is not 1-to-1. This was noticed by Doug Yanega of the Entomology Research Museum at the University of California. In the article above, he correctly deduced that the number of females to males in the honeybee community will be around the golden-ratio Phi = 1.618033.. .

^^ On the Trail of the California Pine, Brother Alfred Brousseau, Fibonacci Quarterly, vol 6, 1968, pages 69 - 76;

on the authors summer expedition to collect examples of all the pines in California and count the number of spirals in both directions, all of which were neighbouring Fibonacci numbers.

^^ Why Fibonacci Sequence for Palm Leaf Spirals? in The Fibonacci Quarterly vol 9 (1971), pages 227 - 244.

^^^ Fibonacci System in Aroids in The Fibonacci Quarterly vol 9 (1971), pages 253 - 263. The Aroids are a family of plants that include the Dieffenbachias, Monsteras and Philodendrons.

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