Fibonacci Numbers in Nature and the Golden Ratio

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Essay #: 059192
Total text length is 9,236 characters (approximately 6.4 pages).

Excerpts from the Paper

The beginning:
Abstract
This paper overviews the nature of Fibonacci sequence of numbers and its key characteristics including the Golden Ratio. It reviews some of the ways the Fibonacci numbers and its characteristics appear to show up in nature.
One particular example of close or dense packing of seed within a sunflower head is shown – according to a website – to require the unique angle derived from the Golden Ratio.
Many figures are included as examples.
And then how some of these characteristics apparently show up in nature's structure of plants and animals.
Fibonacci Numbers in Nature and the Golden Ratio
This paper explains Fibonacci sequence of numbers and its key characteristics. And then how some of these characteristics apparently show up in...
The end:
..... UGA, Nikhat, ‘Fibonacci in Nature’ at http://jwilson.coe.uga.edu/EMAT6680/Parveen/Fib_nature.htm
Viewed April 3, 2010
Rodallega published May 17, 2008, ‘The Fibonacci Sequence in Nature, the Mystery of the Golden Ratio’ at http://scienceray.com/mathematics/the-fibonacci-sequence-in-nature-the-mystery-of-golden-ratio/ Viewed April 3, 2010
Stangrist, ‘Adventures in the Unknown’ at http://www.stangrist.com/fibonacci.htm
Viewed April 3, 2010
Douady, S. et Couder, Y. “La physique des spirales végétales”, La Recherche, janvier 1993, p. 26 (In French).
Knott, R. ‘Fibonacci Numbers and Nature - Part 2 Why is the Golden section the "best" arrangement?’ at http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibnat2.html Viewed April 3, 2010