The Golden Ratio: The Ultimate Guide to Understanding and Using It (2024)

Designers everywhere should know about the Golden Ratio. It is a mathematical ratio that creates aesthetically pleasing designs. Since the Golden Ratio exists so frequently in nature, it’s not a surprise that its results are natural-looking.

The Golden Ratio: The Ultimate Guide to Understanding and Using It (1)

The Golden Ratio: The Ultimate Guide to Understanding and Using It (2)

Photo by Bogomil Mihaylov on Unsplash

The Golden Ratio goes by several other names, too:

  • Divine Proportion
  • Golden Mean
  • Golden Section
  • Phi (Greek letter)

Table Of Contents

  • 1The Math Behind the Golden Ratio
    • 1.1To understand the Golden Ratio, you have to first understand the Golden Rectangle
    • 1.2Back to the Golden Rectangle, because it’s so much easier to understand
    • 1.3The Fibonacci Sequence
    • 1.4The Golden Circles
  • 2You’ve Seen This Before, A Lot
  • 3The Golden Ratio in Art and Design
    • 3.1Let’s take a look at a commonly-referenced example: the Parthenon
  • 4The Golden Ratio and Website Design
    • 4.1The Golden Ratio and Layout
    • 4.2The Golden Ratio and Spacing
    • 4.3The Golden Ratio and Content
    • 4.4Honorable Mention: The Golden Ratio and Images
  • 5Wrapping Up

The Math Behind the Golden Ratio

I’m going to explain the Golden Ratio’s math as simply as possible and without going into the details you don’t actually need to know. If you can keep up with the math, great. But if you can’t, that’s okay – you’ll still be able to use the concept in your designs.

To understand the Golden Ratio, you have to first understand the Golden Rectangle

The Golden Rectangle is a large rectangle that has a square inside it. The sides of the square are equal to the shortest length of the rectangle:

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Source: Wikipedia

The Golden Ratio is a number that’s (kind of) equal to 1.618, just like pi is approximately equal to 3.14, but not exactly.

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.

Back to the Golden Rectangle, because it’s so much easier to understand

When you place a square inside the rectangle, it creates another, smaller rectangle. Ignore the black lines and look at the red and green boxes:

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The red square has four sides equal in length, and that length is equal to the shortest length of the rectangle. By sectioning off that square, you automatically create another, smaller rectangle (outlined in green). Together, they create a complete Golden Ratio layout and a base for the Golden Spiral.

You can also make a new Golden Rectangle out of the smaller rectangle, like this one I’ve outlined in blue:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (5)

A traditional Golden Ratio diagram has eight Golden Rectangles:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (6)

And here’s the smallest Golden Rectangle, #8:

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If you start in the bottom left and make an arch to connect the far side of each square-and-small-rectangle cross section, you’ll get the Golden Spiral.

The Fibonacci Sequence

The Fibonacci Sequence is pretty simple to understand: you start with zero and 1, then get the next number by adding up the two numbers before it. 0 + 1 = 1, then 1 + 1 = 2, etc. The first few numbers in the sequence are 0, 1, 1, 2, 3, 5, 8, 13, 21, 34.

If you use those numbers to create squares with those widths, you can pretty much create a Golden Spiral:

The Golden Circles

Sometimes, you’ll see circles drawn in the squares instead of or in addition to the spiral. If you draw perfect circles in the boxes of the Golden Ratio overlay, they’ll have the 1:1.618 ratio with one adjacent circle.

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Source: Limelight Department

The Pepsi and Twitter logos use the Golden Circles:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (10)

Source: Hybrid Talks

You’ve Seen This Before, A Lot

Nature is full of the Golden Ratio. It’s in flora, shells, weather…

The Golden Ratio: The Ultimate Guide to Understanding and Using It (11)

Source: Photo by Annie Spratt on Unsplash

The Golden Ratio: The Ultimate Guide to Understanding and Using It (12)

Source: Photo by NASA on Unsplash

And because we see it so often, our brains prefer it. That innate attraction is why it’s such a powerful layout for designers to use.

The Golden Ratio in Art and Design

Sometimes the Golden Ratio super easy to recognize:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (13)

Source: staceysdetailinginc.com

Sometimes you go, “I have no idea what you’re talking about… oh wait. Now I see it. I think.”

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Source: Marketing Insiders

Other times you could go crazy looking at it…

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Source: Widewalls

…but if you zero in on the main Golden Rectangle, it becomes a little more clear:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (16)

Let’s take a look at a commonly-referenced example: the Parthenon

The Golden Ratio: The Ultimate Guide to Understanding and Using It (17)

Source: Creative Bloq

At first, you might see this and go, “That just looks symmetrical to me. How does what I’m looking at fit into that Golden Rectangle Spiral thing?”

The Golden Ratio isn’t about how each part of a design fits completely and only into the specific sections. If that was the point, the right side of the Parthenon would be one big block and the left side would be sectioned into smaller blocks.

Instead, the ratio is used to create harmony and proportion, and that can be interpreted in a few different ways.

While the Golden Ratio is grounded in math, it can be adapted in creative ways. In the case of the Parthenon, the Golden Ratio determines the height and placement of design components. Plus, there are a number of ways to lay Golden Ratio diagrams over it:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (18)

Source: Archinect

The Golden Ratio: The Ultimate Guide to Understanding and Using It (19)

Source: Esther Sugihto on Medium

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Source: GoldenNumber.net

The Golden Ratio and Website Design

Whether you’re into math or your head’s about to explode, the Golden Ratio is a bit easier to understand in terms of design. You’ve done the heavy lifting. Now it’s time to take the basic overlay and make your web components perfectly pleasing.

The Golden Ratio and Layout

If you want a perfect Golden Ratio layout, set the dimensions to 1:1.618. For example, you can set the width to 960 pixels and the height to 594 pixels. The Golden Rectangle is 594 pixels on each side and the rectangle takes up the rest of the layout (594 x 366).

Calculator Soup has a helpful Golden Ratio calculator where you can set any term (A, B or A + B) to find the correct Golden Ratio values.

Or, you can simply use this type of two-column layout, where one column is quite a bit wider than the other column. It’s organized and clearly shows hierarchy.

The Golden Ratio: The Ultimate Guide to Understanding and Using It (21)

Source: National Geographic

I use this on my website because the homepage is a collection of my blog posts, and I feel like this is one of the most-recognized layouts for blogs:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (22)

In my opinion, though, the symmetrical layout we use on Elegant Themes is more modern:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (23)

The Golden Ratio and Spacing

The Golden Ratio can help you determine where to place elements of your design, the proportions to use and where to leave negative space. Here’s a simple example, and you can almost see the Golden Ratio overlay without even having to put it on top:

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Source: Digiarts 2011

Here’s what it looks like when I apply the Golden Spiral in Photoshop:

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Again, the Golden Ratio is grounded in math, but when it comes to applying it to design, it’s not perfect. That design isn’t created on a Golden Rectangle, so the Golden Spiral is out of normal proportions. However, you can see how it can guide a designer to choose where to put the largest element of the design, as well as the smallest elements and negative space.

You can also layer the Golden Ratio overlay to apply it to different elements of the same design:

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Source: Branding by Lemongraphic. Example from Canva.

The Golden Ratio and Content

When you think about the Golden Ratio’s layout and spacing together, you can start deciding where to place content on your website.

Let’s look at the National Geographic website again, this time with Canva’s Golden Ratio overlay on it:

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The layout is split so that content lines up along the spiral’s center line. To the left, there’s a large block of content. To the right, the content becomes denser and there’s a lot more negative space. Toward the center curlicue of the spiral, you’ll see a second National Geographic logo – there’s no better way to drive home branding than to place it where the eye naturally goes.

Here’s a great example of how the Golden Spiral can lead your eye through a design, even past its main component. This is useful if you have a lot of content to squeeze onto one page. You’ll also notice that even with such a packed and detailed design, there’s still negative space in there.

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Source: Design by Helms Workshop. Example from Canva.

Honorable Mention: The Golden Ratio and Images

The Golden Ratio is also used in photography composition. Instead of creating a Golden Spiral, the Golden Ratio splits the image into six blocks. The same Golden Ratio is used in this type of grid: the widths and heights of the sections are either 1 or 0.618.

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Source: Canva

You then use the intersections to compose the shot. The goal is to put a subject or main part of a subject on one of the intersecting lines – the subject shouldn’t be centered, and some blocks should be left empty (in most cases, at least – macro photography and close-up portraits will fill almost all of the frame). By doing this, you create a more interesting portrait than if the subject were centered.

A much simpler and more accessible way to follow this rule is to use the Rule of Thirds grid, which you probably have on your phone’s built-in camera or your DSLR.

Here’s a picture I took of my cousin’s son. I’ve laid the Rule of Thirds grid over it to show you where the subject does, and does not, fill the frame.

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Also, look how the Golden Spiral almost-perfectly wraps around the subject:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (31)

The Golden Ratio differs from the Rule of Thirds because the Rule of Thirds grid has sections with equal lengths and widths. However, it’s so close – and so much easier – that this is what photographers commonly use when composing or editing a photo.

Wrapping Up

The Golden Ratio can be used as-is or adapted to your purposes and tweaked for size – math may have hard-and-fast rules, but creativity doesn’t. While you can use the Golden Ratio from the get-go to guide your design, you can also use it after you’ve started designing to make tweaks and improvements. The goal is to have the ratio guide you, not to force fit a design into it.

Ready to play with your website layout even more? Check out our article about using Divi’s new height and width options to create responsive design.

The Golden Ratio: The Ultimate Guide to Understanding and Using It (2024)

FAQs

What is the golden ratio understanding? ›

The golden ratio, also known as the golden number, golden proportion, or the divine proportion, is a ratio between two numbers that equals approximately 1.618. Usually written as the Greek letter phi, it is strongly associated with the Fibonacci sequence, a series of numbers wherein each number is added to the last.

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 the golden ratio in art for dummies? ›

What is the Golden Ratio? The golden ratio (also known as the golden section, and golden mean) is the ratio 1:0.62. Use it to divide lines and rectangles in an aesthetically pleasing way. In the above square A is 0.62 of the rectangle.

Why is 1.618 so important? ›

Why Is 1.618 So Important? The number 1.61803... is better known as the golden ratio, and frequently appears in art, architecture, and natural sciences. It is derived from the Fibonacci series of numbers, where each entry is recursively defined by the entries preceding it.

How is the golden ratio used in real life? ›

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 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 God number in nature? ›

The golden ratio, represented by the Greek letter phi (Φ), is a special number approximately equal to 1.618033988749895. The golden ratio is also known as the divine proportion, the golden mean, or the golden section.

What is the most fascinating occurrence of the golden ratio? ›

A perfect example of this is the nautilus shell, whose chambers adhere to the Fibonacci sequence's logarithmic spiral almost perfectly. This famous pattern shows up everywhere in nature including flowers, pinecones, hurricanes, and even huge spiral galaxies in space.

What is a famous Fibonacci quote? ›

If by chance I have omitted anything more or less proper or necessary, I beg forgiveness, since there is no one who is without fault and circ*mspect in all matters.

Did Da Vinci use the golden ratio? ›

One of the most famous paintings in Western art history, "The Last Supper" by Leonardo da Vinci, is known to have utilized the golden ratio in its composition. The painting depicts the last meal of Jesus Christ with his disciples and is renowned for its intricate details, dramatic lighting, and spatial depth.

How does the Golden Mean apply to the body? ›

Such a ratio is sometimes discovered in nature, one instance being the mean between lengths of some organs of the human body. Leonardo da Vinci found that the total height of the body and the height from the toes to the navel depression are in Golden Ratio.

What famous art uses the golden ratio? ›

The Golden Ratio, otherwise known as the Golden Section, Golden Mean, or Phi, is a mathematical ratio that can be used to produce some of the most beautiful artwork and architecture, such as the Mona Lisa or the Parthenon.

What is the most beautiful number in math? ›

The number 1.618… goes by many different names. However, mathematicians mostly call it phi. Everywhere around us, we see this beautiful number.

What is an example of the Fibonacci sequence in real life? ›

For example, many flowers have a Fibonacci number as their number of leaves or petals, such as 3, 5, 8, or 13. The lily has 5 petals, some daisies have 13 petals, and a chicory has 21 petals. The number of petals on a lily is the Fibonacci number 5.

How did the ancient Egyptians use the golden ratio? ›

a. The uses date to the ancient Egyptians and Greeks

To begin with, in one of the Seven Wonders, the Egyptian Great Pyramid constructed in 2580-2560 BC, the Golden Ratio can be found: the ratio of the slant height of pyramid to half the base dimension is 1.61804, which is extremely close to the Golden Ratio.

How does the golden mean apply to the body? ›

Such a ratio is sometimes discovered in nature, one instance being the mean between lengths of some organs of the human body. Leonardo da Vinci found that the total height of the body and the height from the toes to the navel depression are in Golden Ratio.

What does the golden ratio mean spiritually? ›

The golden ratio, seen in structures as vast as galaxies or as intricate as DNA, has long been the symbol of ideal harmony. Duke University's Adrian Bejan ties this unique ratio to a universal law of nature's design. Through his work on the constructal law, Bejan reveals how nature shapes itself to ease flow.

What does your golden ratio score mean? ›

The Golden Ratio, roughly 1:1.618, is a principle from mathematics that describes ideal proportions. When applied to facial aesthetics, it offers a guideline for achieving facial balance and symmetry. Ideally proportioned facial features, according to this ratio, are often viewed as more appealing.

What is the basic formula for the golden ratio? ›

Golden ratio is represented using the symbol “ϕ”. Golden ratio formula is ϕ = 1 + (1/ϕ). ϕ is also equal to 2 × sin (54°) If we take any two successive Fibonacci Numbers, their ratio is very close to the value 1.618 (Golden ratio).

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