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. Often referred to as the "divine ratio" because of the numerous places it appears in the natural world—such as the spiral of Nautilus shell—it offers a way to guide your viewer's eye to the area of the photo you want them to focus on.
When applied to photography, this ratio can produce aesthetically pleasing compositions that can be magnets for the human sub-conscious. When you take the sweet spot of the Fibonnaci Ratio and recreate it four times into a grid, you get what looks to be a rule of thirds grid. However, upon closer inspection you will see that this grid is not an exact splitting of the frame into three pieces. Instead of a 3 piece grid that goes 1+1+1=frame, you get a grid that goes 1+.618+1=frame.
The photo above is one of their sample photos, showing how the ratio can yield a focus that guides the viewer right to the subject's face/eyes. Check out the full guide at the link below, including videos, to see how Fibonnacci's Ratio can help improve your photography.
Divine Composition with Fibonacci's Ratio (The Rule of Thirds on Steroids) [Digital Photography School]