How To Design Using The Fibonacci Sequence | 3.7 Designs (2024)

Not too long ago I posted an article that outlined ten laws to design by. I was ecstatic when the post received ample attention and fan fare. I might be a bit jaded, but I have grown very sick of the “fast food” list style design articles that seem to get so much attention these days. While this type of post is entertaining, it will hardly do anything push the design community. These posts tend to promote shallow design practices instead.

So I wanted to continue to talk about lesser known design principles. My hope is that it will both urge me to research and study the laws of design as well as remind others that there is more to design than gradients and shadows.

The Fibonacci Sequence is a great design concept to understand and integrate into your work.

What Is The Fibonacci Sequence?

Simply put the Fibonacci Sequence is a series of numbers with the pattern of each number being the sum of the previous two. So starting at zero the sequence would be as follows:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144…

The sequence could go on indefinitely. As you will notice it is a pretty simple principle and probably seems more rooted in mathematics than anything related to design. To see a list of the Fibaonacci numbers take a look at the article on wikipedia.

How Does It Apply to Design?

By itself it might seem like the Fibonacci sequence has everything to do with mathematics and nothing to do with design. It is just numbers, isn’t it? The sequence actually relates closely to design in a few key ways.

How To Design Using The Fibonacci Sequence | 3.7 Designs (1)

The first area of relevance is that the sequence is actually very close ratio to the Golden Ratio. If you are not familiar with the Golden Ratio I suggest reading up on it here. To describe the concept simply, the Golden Ratio is a design concept that is to create visually appealing proportions in art, architecture, design and even the human body all throughout history.

Secondly the sequence is commonly seen in nature. This pattern and sequence is found in branching of trees, flowering artichokes and arrangement of leaves on a stem to name a few. These seemingly random patterns in nature also are considered to have a strong aesthetic value to humans.

These elements aside there is a key element of design that the Fibonacci sequence helps address. This element is a concept that many designers ignore all together, regardless of their knowledge of the sequence.

Rational Spacing

It is easy to get blinded by the “sexier” components of design. Designers by nature are passionate people so it is only natural that color palettes, typeface choice and photography can excite and blind us. While these components are important elements of design, much of design is actually the management and division of space.

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Spacing and the use of space is what holds a design together. Precise and effective space management can make the difference between an average design and an amazing one. Realize that every aspect of our design requires decisions on the usage of space. Everything from the width and height of various sections to the space between a heading and the paragraph text below it.

This can extend further by considering the proportions of our elements. How big is the header compared to the navigation bar? How wide is the photo compared to the sidebar? These ratios are what make or break the balance, emphasis and flow of a design.

Additionally whether we realize it or not we constantly are looking for order and understanding of the world around us. It is one of the traits that has helped our civilization advance at such a rapid pace. The seeking of order and understanding applies to our assessment of visual design as well. Our mind is constantly seeking some reason, pattern or rational for what we are seeing. This is especially true of spacing, sizing and proportions.

Many designers pick size and spacing arbitrarily or based on “instinct.” A 20px margin might seem reasonable and a 400px tall header look good. Now these sizes might not look bad, which is why so many designers can get away with this eyeball approach. But even though these sizing choices may look good to your eye, your brain is trying to find unity in those relationships. If that unity doesn’t exist it will always feel unpolished.

The Fibonacci Sequence is a method of bringing a sizing and spacing system into your designs. One based on a proven aesthetic appeal in design, architecture and nature.

How To Use It

If you look at the Fibonacci Sequence and consider them as possible section, margin and font sizing it should be clear that it can structure your entire design. The smaller range of the sequence (8, 13, 21, 34, 55) is perfect to decide margins, line heights and font sizes. The higher range of the sequence (144, 233, 377, 610, 987) can easily decide column widths and other section dimensions.

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How To Design Using The Fibonacci Sequence | 3.7 Designs (4)

Using it simply one could set the font size for paragraph and heading text, in addition to the margins between them. This creates a rhythm and visual harmony in addition to the balanced and aesthetically pleasing proportions.

Take a look at the two example images. You should note that by intentionally selecting the margins and text size that the simple composition of feels balanced, legible and unified. This is because a system logical system is used to decide the sizing and proportions makes a dramatic impact on the overall composition.

The sequence can extend to every element in the design. The possibilities are endless, ranging from the size of primary sections (header, columns, footer, etc…) to the margin and text sizing.

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The example above fits with in a 1024 x 768 resolution and has all the sizes based on numbers in the sequence. Again you will notice that the overall composition feels balanced, has a strong sense of rhythm and visually feels aesthetically pleasing. Just the subtle use of the system makes a dramatic impact on a series of squares and text.

Give It A Try

I recommend taking an existing mock-up and try adjusting the sizing and spacing of elements to fit within the Fibonacci Sequence and see how it compares to the original. We’ve tested this effect a handful of times at our web design agency and found clients often prefer the example with Fibonacci-based proportions over more standard conventions.

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How To Design Using The Fibonacci Sequence | 3.7 Designs (2024)

FAQs

How To Design Using The Fibonacci Sequence | 3.7 Designs? ›

How To Use It. If you look at the Fibonacci Sequence and consider them as possible section, margin and font sizing it should be clear that it can structure your entire design. The smaller range of the sequence (8, 13, 21, 34, 55) is perfect to decide margins, line heights and font sizes.

How do you use the Fibonacci pattern? ›

Understanding the Fibonacci Sequence

The numbers in the Fibonacci Sequence don't equate to a specific formula, however, the numbers tend to have certain relationships with each other. Each number is equal to the sum of the preceding two numbers. For example, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377.

What can I create with a Fibonacci sequence? ›

Artists can also use the Fibonacci sequence to create patterns or designs that repeat in a sequence of Fibonacci numbers. For example, a pattern that repeats every five or eight units can create a sense of harmony and balance in your artwork. (The 5 and the 8 came from the sequence of numbers.

How is the Fibonacci sequence used in art? ›

Fibonacci Spirals

In classical art, this spiral's proportions are often used to guide the placement of elements within a composition, leading the viewer's gaze along an aesthetically pleasing path.

How is the Fibonacci sequence used in architecture? ›

The principles of the Fibonacci sequence has been used by countless artists and architects since the Renaissance in proportioning their works to approximate the golden ratio with the belief that this proportion is aesthetically pleasing based on its harmony, proportion, and mathematical order.

How do you use Fibonacci in design? ›

How To Use It. If you look at the Fibonacci Sequence and consider them as possible section, margin and font sizing it should be clear that it can structure your entire design. The smaller range of the sequence (8, 13, 21, 34, 55) is perfect to decide margins, line heights and font sizes.

How do you use Fibonacci strategy? ›

We can create Fibonacci retracements by taking a peak and trough (or two extreme points) on a chart and dividing the vertical distance by the above key Fibonacci ratios. Once these trading patterns​ are identified, horizontal lines can be drawn and then used to identify possible support and resistance levels.

What is an example of the Fibonacci sequence in design? ›

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 are the five patterns of nature? ›

Specifically five patterns; admittedly, some writings champion greater numbers, with categories slightly different, being more or less inclusive, but five served us quite well. Spiral, meander, explosion, packing, and branching are the “Five Patterns in Nature” that we chose to explore.

What objects have a Fibonacci pattern? ›

Seed Heads, Pinecones, Fruits and Vegetables

Divide the spirals into those pointed left and right and you'll get two consecutive Fibonacci numbers. You can decipher spiral patterns in pine cones, pineapples and cauliflower that also reflect the Fibonacci sequence in this manner [source: Knott].

What is the best time frame to draw Fibonacci numbers? ›

What time frame is best for Fibonacci retracement? The 30-60 minute candlestick chart is best suited to analyse the Fibonacci retracements to watch the daily market swings closely.

What is the golden ratio in Fibonacci art? ›

The golden ratio is a structural device based on the patterns of nature, that has been used by artists and designers for centuries. The golden ratio, also known as the divine proportion, is a mathematical ratio of 1:1.618, or Phi, with a decimal that stretches to infinity, closely linked to the Fibonacci sequence.

How to apply the Fibonacci sequence? ›

The sequence follows the rule that each number is equal to the sum of the preceding two numbers. The Fibonacci sequence begins with the following 14 integers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 ... Each number, starting with the third, adheres to the prescribed formula.

What are the real life applications of the Fibonacci sequence? ›

The Fibonacci sequence, also known as the golden ratio, is utilized in architectural designs, creating aesthetically pleasing structures. In engineering and technology, Fibonacci numbers play a significant role, appearing in population growth models, software engineering, task management, and data structure analysis.

How does the Fibonacci pattern work? ›

The Fibonacci sequence is the series of numbers where each number is the sum of the two preceding numbers. For example, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, …

How do you use the Fibonacci sequence formula? ›

What is the Formula for Generating the Fibonacci Sequence? The Fibonacci sequence formula deals with the Fibonacci sequence, finding its missing terms. The Fibonacci formula is given as, Fn = Fn-1 + Fn-2, where n > 1. It is used to generate a term of the sequence by adding its previous two terms.

How do you use Fibonacci retracement step by step? ›

Step 1 – Identify the direction of the market: uptrend. Step 2 – Attach the Fibonacci retracement tool on the bottom and drag it to the right, all the way to the top. Step 3 – Monitor the three potential support levels: 0.236, 0.382 and 0.618.

How do you play the Fibonacci sequence? ›

The Fibonacci betting system requires you to add the previous two numbers (in betting terms, adding together your previous two stakes) in the sequence to determine the level of your next wager. Every time a wager loses, you add a number to the sequence but if your next wager is a winner, you subtract two numbers.

What is the easiest way to solve the Fibonacci sequence? ›

Remember, to find any given number in the Fibonacci sequence, you simply add the two previous numbers in the sequence. To create the sequence, you should think of 0 coming before 1 (the first term), so 1 + 0 = 1.

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