The Golden Ratio (Phi) : the origin of the Rule of Thirds (2024)

  • ByNicholas Tinelli
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The objective of each compositional technique is to obtain dynamic and interesting images. You’ve probably already heard about the “Rule of Thirds“, one of the best known when it comes to photographic composition.

The Golden Ratio (Phi) : the origin of the Rule of Thirds (1)

This rule establishes that an image is more pleasant when its subjects/objects are distributed along imaginary lines that divide it into third parties, both vertically and horizontally, defining 9 equal rectangles. Even better if these are found at the intersection of the lines, in the so-called strong points. This is where the attention of the human eye is instinctively focused.

Like every rule, it is important to know and consolidate it with practice in order to be able to use it naturally when you are taking a picture. Below I give you some examples of its application in landscapes and subjects:

The Golden Ratio (Phi) : the origin of the Rule of Thirds (2)

The Golden Ratio (Phi) : the origin of the Rule of Thirds (3)

The Golden Ratio (Phi) : the origin of the Rule of Thirds (4)

What is the origin of the rule of thirds?

It is nothing more than the simplification of another composition technique: the “Golden Ratio“, also called “Golden Section”, represented by the number 1.6180339887 (Phi).

The Golden Ratio (or Phi grid) is obtained by dividing the frame with a ratio of 1.61803:1 between the lateral and central columns, drawing 2 horizontal and 2 vertical lines, which will form 9 rectangles, as in the rule of thirds. To give harmony to the image we must try to position our subject/object in one of the 4 strong points, defined by the intersection of the lines.

The Golden Ratio (Phi) : the origin of the Rule of Thirds (5)

The Golden Ratio (Phi) : the origin of the Rule of Thirds (6)

The “Golden Number” applied to figurative arts, such as painting, architecture, sculpture, allows interesting compositions for the human eye. This concept was introduced by the Pythagoreans and retaken by Leonardo Fibonacci, the great Italian mathematician and creator of the “Succession of Fibonacci” (“Golden Succession”), a series of whole numbers in which each number is the sum of the two previous ones. For example: 0,1,1,2,3,5,8,13,21,34,55,89,144, 233 to infinity.

Using the sequence, closely linked to the golden number, (the relationship between any two numbers flanked in the sequence results in the “Phi”) it is possible to graphically reconstruct the “Fibonacci Spiral“, a very effective compositional technique, which brings great balance and harmony to the image.

The Golden Ratio (Phi) : the origin of the Rule of Thirds (7)

The Golden Ratio (Phi) : the origin of the Rule of Thirds (8)

Another technique is the “Golden Triangle“, ideal for elements that follow diagonal lines. The frame is divided by a diagonal from which we draw a perpendicular line from the 2 opposite corners, dividing the scene into 4 triangles. There are 4 possible combinations, which create the “strong points” in the same position as the “Phi” grid. Follow the diagonal and place the subject/object in one of the strong points give a great visual impact on the image.

The Golden Ratio (Phi) : the origin of the Rule of Thirds (9)

Applying the “Rule of Thirds” when we are taking a photo is not difficult, while the “Golden Ratio” is a more complex concept and probably easier to apply later, in the post-production phase, cutting the image correctly to achieve greater compositional harmony.

The option of Photoshop and Lightroom to crop according to the composition technique that best suits the situation is very useful. Practice with old photos and try to improve them by applying these rules when you consider it appropriate.

The Golden Ratio (Phi) : the origin of the Rule of Thirds (10)

To use this option in Photoshop, you must select the “Crop” tool in the left sidebar, then at the top, in the tool options, you will find an icon that opens a scrolling window with different compositing techniques for cropping.

The same in Lightroom, in the top menu you will have to select: Tools —> Overlay cropping guides.

  • Composition, Fibonacci Spiral, Golden Ratio, Golden Triangle, photography, Rule of Thirds

The Golden Ratio (Phi) : the origin of the Rule of Thirds (11)

Nicholas Tinelli

I am a Travel and Portrait Photographer. Since 2018 I publish articles on this blog, a personal diary where I share experiences, activities, and technical tips with other photography enthusiasts.

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2 thoughts on “The Golden Ratio: origin of the Rule of Thirds”

  1. Hi mate good intelligence.
    I have found the Golden Ratio can be used to solve any problem as long as the artist and mathematicians have good intentions or Karma returns 6 fold…

    Reply

    • Good to know 🙂 Thanks Clayton!

      Reply

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The Golden Ratio (Phi) : the origin of the Rule of Thirds (2024)

FAQs

The Golden Ratio (Phi) : the origin of the Rule of Thirds? ›

What is the origin of the rule of thirds? It is nothing more than the simplification of another composition technique: the “Golden Ratio“, also called “Golden Section”, represented by the number 1.6180339887 (Phi).

Is the rule of thirds based on the golden ratio? ›

The rule of thirds is the first thing that is taught about composition in photography. It seems to have some similarities with the golden ratio, but in reality, it's something completely different. Let's have a closer look at the history of these so-called rules to get a better understanding.

Where did the rule of thirds come from? ›

History. The rule of thirds was first written down by John Thomas Smith in 1797. In his book Remarks on Rural Scenery, Smith quotes a 1783 work by Sir Joshua Reynolds, in which Reynolds discusses, in unquantified terms, the balance of dark and light in a painting.

Where did the golden ratio originate? ›

The first known mention of the golden ratio is from around 300 BCE in Euclid's Elements, the Classical Greek work on mathematics and geometry.

What did Fibonacci say about the golden ratio? ›

The Golden Ratio is a relationship between two numbers that are next to each other in the Fibonacci sequence. When you divide the larger one by the smaller one, the answer is something close to Phi. The further you go along the Fibonacci Sequence, the closer the answers get to Phi.

What is better than the rule of thirds? ›

Placing your subject or horizon in the centre of the image is the most obvious alternative to the Rule of Thirds, and works well for many subjects. A prominent horizontal line in the dead-centre of an image perfectly bisects it and gives equal weight to the two halves of the image.

What is the correct golden ratio? ›

You can find the Golden Ratio when you divide a line into two parts and the longer part (a) divided by the smaller part (b) is equal to the sum of (a) + (b) divided by (a), which both equal 1.618. This formula can help you when creating shapes, logos, layouts, and more.

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