Originally posted on Photofocus:

I’ve been spending a lot of time thinking about composition lately.  I am really trying to push myself to get beyond the rule of thirds and try  out some new methods.

The method I’m experimenting with now is called the Golden Spiral.  It’s based on of all things an ancient sequence of numbers that often repeats in nature.

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144

The sequence is often called the Fibonacci numbers and is named after  Leonardo Fibonacci who was an Italian mathematician.  He didn’t actually invent the series (it’s though to have originated from the Hindu–Arabic numeral system.

The sequence is based on adding the adding adjacent numbers in a string, then carrying the results.

0+1=1, 1+1=2, 1+2=3, 2+3=5, 3+5=8, 5+8=13, 8+13=21, 13+21=34 (and so on)

A tiling image with squares whose lengths are successive Fibonacci numbers  By Borb — Wikimedia Commons

A tiling image with squares whose lengths are successive Fibonacci numbers
By Borb — Wikimedia Commons

If you draw  circular arcs…

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