A Bit of History About the Golden Ratio and Rule of Thirds (2024)

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.

The rule of thirds is quite a simple rule. Divide the image in nine equal parts, by drawing two horizontal and two vertical lines at thirds from the edges. Place your subject on one of the lines or at the intersection of the lines, and you’re done. Sort of.

Although this can help to achieve an acceptable composition in some situations, the rule of thirds was never intended that way. In fact, the origin has absolutely nothing to do with drawing lines at thirds of the image. At first look, the similarity with the golden ratio does make it seem the two are related. Nothing is further from the truth. Let me explain why by diving into history.

The Golden Ratio, Fibonacci, and Archimedes

The golden ratio is an invention of mathematicians. It had nothing to do with composition in paintings. A Greek called Euclid, who lived somewhere around 400 BC, found out that the division of a line according to a certain ratio can go on indefinitely. This ratio is an irrational number, which means it cannot be written down as a natural fraction.

This irrational number is the golden ratio. The number is 1.618 followed by an infinite amount of digits, and the Greek letter for it is Phi.

It took 16 centuries before Leonardo of Pisa came up with a sequence of numbers that was pretty special. Every number was the sum of the previous two, and the sequence was infinite. This sequence of numbers was named after his nickname: the Fibonacci sequence.

Astronomer Johannes Kepler finally discovered the link between the golden ratio and the Fibonacci sequence. He found out how the division between a Fibonacci number by the previous number in the sequence would approach the golden ratio with increasing accuracy.

Everyone knows about Archimedes. He cried out "eureka" when discovering how to find out if the golden crown of King Hiëro of Syracuse was a fake or not. But Archimedes was also obsessed with spirals. One of the spirals he made was the Spirabilis Mirabilis, based on the golden ratio. Today we know this spiral better by the name Fibonacci Spiral (we’re sorry about that, Archimedes).

Luca Pacioli and the Golden Ratio for Composition

We seem to find a lot of examples in nature where the golden ratio and Fibonacci spiral are present. Of course, we have a habit of looking at those similarities and ignoring everything that doesn’t have the similarity. Nevertheless, the golden ratio is something that often appears in things growing in nature, like the distribution of leaves on a stem or the seeds in a sunflower.

Perhaps it was because of this that an Italian monk named Luca Pacioli came up with a common rule for composition. Somewhere between the 15th and 16th century, he claimed how a painting would become most realistic when the composition was made by mathematical rules. The golden ratio was chosen for this.

Today, we try to see the golden ratio in everything that has been built, drawn, or painted. We search for the golden ratio in buildings like the Parthenon, Pyramids, and even modern buildings. We draw the Fibonacci spiral over well-known paintings like the Mona Lisa by Leonardo da Vinci or the Girl with a Pearl Earring by Johannes Vermeer.

The Rule of Thirds

For the origin of the rule of thirds, we have to travel in time towards 1797. At that time, a certain Sir Joshua Reynolds taught at the Royal Academy of Arts in London, mentioning in his discourses how a painting works best when the use of light and dark has a ratio of approximately 1/3:2/3.

There was never any mentioning of a rule of thirds, until an English painter called John Thomas Smith came up with the rule after reading the discourses of Sir Joshua Reynolds. He took the 1/3:2/3 division even further and said it should be used for everything in a composition.

There were a lot of people who don’t like the rule of thirds, even back then. A certain George Fields wrote about the downsides of the rule of thirds in 1845, saying how the use of the rule would produce boring and monotonous images.

A Bit of History About the Golden Ratio and Rule of Thirds (7)

Today, the rule of thirds has been reduced to a bunch of lines in a photo. You should place the subject on one of the lines or at the intersections of those lines. This would give the image a lot of suspense and energy. Not everyone agrees, for obvious reasons. The original idea behind the rule of thirds, the way how light and dark in an image should be distributed, is lost and forgotten.

Using the Rule of Thirds or the Golden Ratio

Back to modern times again. Most photographers have learned to use the rule of thirds. I believe it does work on some occasions. But perhaps it’s wiser to use the lines for the distribution of the subject in the frame. It doesn’t have to be on the thirds at all, especially if you end up with the other two thirds being almost empty. Balance and visual flow in an image are much more important.

Using something like the golden ratio works much better for a lot of occasions, I think. The Fibonacci spiral can help find a visual flow through the image. There is one problem, though. Because we often visualize these rules by using the crop tool in software like Lightroom and Photoshop, we look at the lines without realizing the composition doesn’t follow the golden ratio at all.

Those crop tools project the rules inside the aspect ratio of the image itself. This can be 3:2, 4:3, or 5:4, to name a few. But this way, you’re not looking at the lines of a golden ratio anymore, because that has an aspect ratio 1.618:1. So, you may think you’re using it, but you're not. On the other hand, the rule of thirds is independent of the aspect ratio of an image.

Find Balance

It’s nice to have all these rules, and I find it important to know about its origin to understand why you should use it or not. It also illustrates that using these rules to the letter is often not very artistic. You might end up being more of a mathematician instead of a photographer.

I think it’s much wiser to find balance in a photo. Avoid distractions and use lines and curves to connect the elements in your composition. You might be surprised how often it will turn out to have a golden ratio after all or even a rule of thirds.

There are many other ways of achieving a composition. You can use the rule of odds, negative space, or the gestalt principle. How do you build the composition for your photos? Do you use the rule of thirds, golden ratio, or another rule? Please share your preferred way in the comments below.

A Bit of History About the Golden Ratio and Rule of Thirds (2024)

FAQs

What is the golden ratio and the rule of thirds? ›

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.

What is the history of the golden ratio? ›

History of the golden ratio.

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. Euclid and other early mathematicians like Pythagoras recognized the proportion, but they didn't call it the golden ratio.

What is the golden ratio answers? ›

As ϕ is the ratio between two positive quantities, the value of ϕ should be the positive one. Hence, the value of golden ratio ϕ is approximately equal 1.618. Interesting Facts: Golden ratio is a special number and is approximately equal to 1.618.

What is the golden ratio of God? ›

This ratio - 1.618 - is an approximation of its true value of [1+√5)/2]. This ratio has served mankind in three ways: it provides beauty, function, and reveals how wise, good, and powerful the Creator is.

What does the golden ratio tell us? ›

The golden ratio has been used to analyze the proportions of natural objects and artificial systems such as financial markets, in some cases based on dubious fits to data. The golden ratio appears in some patterns in nature, including the spiral arrangement of leaves and other parts of vegetation.

What is the most perfect golden ratio? ›

The Golden Ratio is 1: 1.618, and the full equation states that when a line is divided into two parts in a ratio of 1: 1.618, it creates the ideal proportion.

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.

Who made the golden ratio famous? ›

Some artists and architects believe that the golden ratio makes the most beautiful shapes. As a result the ratio can be found in many famous buildings and artworks, such as those by Leonardo da Vinci.

What is the golden ratio for dummies? ›

You take a line and divide it into two parts – a long part (a) and a short part (b). The entire length (a + b) divided by (a) is equal to (a) divided by (b). And both of those numbers equal 1.618. So, (a + b) divided by (a) equals 1.618, and (a) divided by (b) also equals 1.618.

What is the golden ratio in the human body? ›

It has been suggested that the ideal human figure has its navel at the golden ratio ( , about 1.618), dividing the body in the ratio of 0.618 to 0.382 (soles of feet to navel:navel to top of head) ( 1⁄ is. -1, about 0.618) and Leonardo da Vinci's Vitruvian Man is cited as evidence.

What is the golden ratio best example? ›

For example, the lily has three petals, buttercups have five of them, the chicory has 21 of them, the daisy has often 34 or 55 petals, etc. Faces, both human and nonhuman, abound with examples of the Golden Ratio.

How to solve golden ratio? ›

The Golden Ratio can be calculated proportionally, using joined line segments AB and BC that obey the Golden Ratio with AB being the shorter segment. The Golden Ratio is given by the proportion AB/BC = BC/AC. The Golden Ratio may also be expressed in terms of itself, as the formula phi = 1 + 1/phi.

What is the golden rule of God? ›

Golden Rule, precept in the Gospel of Matthew (7:12): “In everything, do to others what you would have them do to you. . . .” This rule of conduct is a summary of the Christian's duty to his neighbour and states a fundamental ethical principle.

Why is the golden ratio sacred? ›

One of sacred geometry's key elements is the golden ratio. This refers to a perfectly symmetrical relationship between two proportions, where the relationship between the larger and the smaller part is the same as that between the whole and the larger part.

What is golden ratio on man? ›

This led to the development of a set of measurements that led in turn to the ratio 1: 1.618, which is now often called “The Golden Ratio.” The Golden Ratio is a number that shows up all over the human body, for example the length of the arms and legs divided by the length of the torso.

What is the golden ratio in art explained simply? ›

The golden ratio is found when a line is divided into two parts such that the whole length of the line divided by the long part of the line is also equal to the long part of the line divided by the short part of the line.

How do you find your golden ratio? ›

There are several measurements used to make this determination. First, the length and width of the face are measured. Once this is done, the length is divided by the width. The ideal result is considered the Golden Ratio which should equal 1.6.

What is the golden triangle rule of thirds? ›

The rule of thirds puts important elements on the intersecting points of the rule of thirds grid. This grid uses two lines to divide the frame vertically and horizontally to form a 3 x 3 grid. For the golden triangle, you'll use triangles instead of boxes, creating diagonals across your composition.

What is the rule of third ratio? ›

The rule of thirds is applied by aligning a subject with the guide lines and their intersection points, placing the horizon on the top or bottom line, or allowing linear features in the image to flow from section to section.

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