Golden Ratio

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Compose with Fibonacci's Ratio for Phenomenal Photos - Lifehacker

If you're looking for a way to draw more attention to the crucial elements in your photographic composition, the Fibonacci Ratio offers a way to direct your viewers eye to the critical parts of your photo. Earlier this year we highlighted another great composition rule, the Rule of Thirds, in our guide to getting more out of your point and shoot camera . Digital Photography School takes an interesting look at another composition rule, Fibonnacci's Ratio. http://lifehacker.com/5714937/compose-with-fibonaccis-ratio-for-phenomenal-photos
Leonard Fibonacci discovered that if you have a sequence of numbers beginning with 1,1, where the next number in line is the sum of the previous two, then the sequence will progress towards a more and more exact representation of the golden ratio.

Divine proportion the easy way - golden section Photoshop plugin

http://powerretouche.com/Divine_proportion_tutorial.htm

Dividing a line segment into N equal parts with compass and straightedge or ruler - Math Open Reference

http://www.mathopenref.com/constdividesegment.html This shows how to divide a given line segment into a number of equal parts with compass and straightedge or ruler. In the applet we divide it into five parts but it can be any number. By using a compass and straightedge construction, we do this without measuring the line.
There’s a mathematical ratio commonly found in nature—the ratio of 1 to 1.618—that has many names. http://emptyeasel.com/2009/01/20/a-guide-to-the-golden-ratio-aka-golden-section-or-golden-mean-for-artists/

A Guide to the Golden Ratio (AKA Golden Section or Golden Mean) for Artists

http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/phi2DGeomTrig.html On this page we meet some of the marvellous flat (that is, two dimensional) geometry facts related to the golden section number Phi.

Two-dimensional Geometry and the Golden section