I had actually typed a bunch of stuff on Fibonacci sequence in my original msg, but deleted it before posting, because I thought no one would be interested.

The ratio of successive Fibonacci #s approaches the Golden ratio (which I derive towards the end of the following page)
http://reocities.com/athens/8994/ratio.txt

There's a number of interesting properties in Nature:
Sunflower petals : http://www.popmath.org.uk/rpamaths/rpampages/sunflower.html

http://www.dace.co.uk/proportion_phi.htm

I recall vaguely from years ago that some computer scientists were looking at Fibonacci as a way to address certain memory allocation problems, but I don't know if anything came of it.