Numbers and rules

“Excellence is in the details. Give attention to the details and excellence will come.”
~ Perry Paxton

Pardon my nearsightedness
Camera: Canon PowerShot A710 IS
Exposure: 0.005 sec (1/200)
Aperture: f/4.0
Focal Length: 5.8 mm
Modifications: Adjusted temperature & brightness level
Date & Time : February 7, 2009 at 13.40 Manila Time
Location: Parks & Wild Life, Quezon City, Philippines


Late last year, I had an opportunity to write for an upcoming stock photography site. I had to read about topics that I normally avoid: anything with numbers. The numerical system is like a horrible nightmare, I have spent most of my life eliminating it from my path. Whenever I read about photography, I tend to skip the topics that seem too difficult to understand. However, as I was working on that photography project I had to understand rules of composition where numbers play an important role. It was a good learning experience and I am glad that I had a chance to see numbers and formula in a different light.

It has been found that the things that we find visually appealing bear the numbers in the Fibonacci series: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610.. The number of petals of most flowers are Fibonacci numbers. Take a closer look at sunflower photo above, it has two sets of spirals, one runs clockwise and the other set runs anticlockwise. The number of spirals are always two consecutive numbers in the Fibonacci series- don't you find that fascinating? There are still many pieces of evidence that link the presence of Fibonacci numbers in nature.


The ratio of each successive pair of numbers in the Fibonacci series is about 1:1.618. What's the significance of that ratio? It is close to 1:1.618034 otherwise known as divine proportion, golden section or golden ratio. Many stunning structures from ancient to modern buildings were built based on the golden ratio. The golden ratio exists in famous art pieces of great artists like Leonardo da Vinci, Michaelangelo and Rembrandt. The use of golden ratio is not exclusive to those big names in the field of art. A regular person like me, for example, can always try to apply it to photographic compositions. After all, if a certain formula can increase the probability to capture viewers' attention, then making use of it shouldn't be a bad idea.

Remember the rule of thirds? It is actually a simplified version of the golden mean. In the rule of thirds, you divide the image into 9 equal parts. But if you want to apply the golden mean to your photos, the image should be divided with 2 vertical and 2 horizontal lines into 9 unequal but symmetrical parts.


Golden ratio: 1:1.618034
a:(b+c),b:a, (a+b): height
d:(e+f),e:d, (d+e):width



Placing the highlight of the image along these lines, especially on the intersections or power points would make the photo more appealing.




The golden spiral is another application of the divine proportion. This is done by making rectangles of increasing sizes by using the golden ratio 1:1.618.



If we will use this on staircase photos and shells like the the pros, may be our shots will look as appealing. The golden spiral can also be used for landscape photos. This shape is found everywhere in nature: the nautilus shell, ram's horns, sunflower heads, fingerprints, DNA and the shape of the Milky Way.

The subject or the interesting part of the image should be in the smallest rectangle. While it should be easy to apply the golden spiral to close up photos, I thought it would also be nice to show you a landscape shot. I don't have a decent one so I had to look for a good sample photo from a web gallery of a pro.

Take a look at the photo below and notice how the rainbow is perfectly positioned in the tiniest rectangle.

I find this photo very impressive not just because it was taken by my husband. Would you believe that he didn't even bother thinking about complicated-sounding golden spiral, and yet the highlight of the shot landed on the right spot? How could that be possible? I some people have the innate skill to do everything right. I am not among those fortunate ones, so I guess practice is my only option. I believe that if one would always apply the rules of composition to his or her work, chances are, it will be in their system like an incurable disease.

If you think the golden ratio is too complicated and not fun at all, then by all means, don't bother stressing yourself. Photography shouldn't trigger anxiety. I've got some good news though: you can always make photography simple and fun. Get a camera that has Rule of Thirds grids on the LCD. You can also use this online composition adjuster. All you have to do is load an image from your computer or a URL, and voila, you would get to check if your photos abide by the 'rules'. Just keep on practicing until you get the hang of it, then you're on your road to better photography skills.