The Golden Ratio: How math enhances graphic design

Kristina
4 min readApr 2, 2023

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The Golden Ratio, Kristina Marotta, Midjourney

Have you ever considered the mathematical principles behind the designs you create?

It’s easy to think of mathematics and graphic design as separate worlds, but they are intricately connected. In fact, math is a fundamental building block of graphic design. Understanding its principles can elevate your designs to the next level.

Also known as the divine proportion, The Golden Ratio is a ratio found in nature and has been used in many forms of art and design for centuries. The Golden Ratio can be used to determine the ideal placement of elements in a composition. It is commonly used when creating layouts for websites, magazines, publications, and more.

In mathematics, The Golden Ratio is constructed using a geometric method. Start with a line segment (AB) and divide it into two unequal parts such that the ratio of A to B is the same as the ratio of B to A+B. This can be expressed mathematically with the following equation:

a/b = b/(a+b)

Solving this equation yields the value of The Golden Ratio, which is approximately 1.618.

The Golden Ratio is also related to the Fibonacci sequence, where each number in the sequence is the sum of the two preceding numbers. The ratio of consecutive numbers in the sequence approaches The Golden Ratio as the sequence progresses.

In nature, The Golden Ratio can be found in many forms, such as the spiral patterns in seashells, the branching patterns of trees, and the proportions of the human body.

In design, The Golden Ratio can be used to create aesthetically pleasing compositions by applying it to the placement of elements in the design. Three benefits of using The Golden Ratio in graphic design:

Balance and Harmony

The Golden Ratio helps to create balance and harmony in a design by providing a framework for the placement of elements. By placing elements in accordance with The Golden Ratio, a design will appear more balanced and visually appealing to the viewer.

Eye-Catching and Memorable

The Golden Ratio is eye-catching and draws the viewer’s attention. When used in a design, it can make the design stand out and be more memorable. The human brain is wired to recognize patterns and shapes that conform to The Golden Ratio, making the design easier to remember.

Timeless

The Golden Ratio is a timeless design principle that has been used in art and design for centuries. By using The Golden Ratio, a design can have a classic and timeless look that will never go out of style.

Apple Logo Evolution, Tailor Brands

Apple’s Logo

One of the most well-known designs that use The Golden Ratio is the logo for Apple Inc. The company’s logo, designed by Rob Janoff in 1977, features an apple with a bite taken out of it. The proportions of the apple and the bite are based on The Golden Ratio, which gives the logo a balanced and pleasing look.

The use of The Golden Ratio in the Apple logo is just one example of how this mathematical principle has been used to create some of the most iconic designs in history.

How to Incorporate the Golden Ratio in Your Designs

  1. Use the grid system. The grid system can be used as a guideline to determine the placement and sizing of elements in a composition. By dividing the canvas into sections using The Golden Ratio, designers can create harmonious and balanced compositions.
  2. Experiment with different applications. The Golden Ratio can be applied in various ways, such as in the placement of text, images, and whitespace. Experiment with different applications to see what works best for your specific design.
  3. Don’t be too rigid. While The Golden Ratio can be a helpful guideline, it’s not a hard and fast rule. As one of many design principles you can use to create visually pleasing designs, combine it with other principles like contrast, balance, and hierarchy. Don’t be afraid to deviate from the ratio if it makes sense for your design. Ultimately, the goal is to create a visually appealing and effective composition.

So, next time you’re designing a layout, creating a logo, or deciding on the placement of elements in your designs, consider The Golden Ratio. With its mathematical precision and natural aesthetic, it can elevate your designs to new heights. Don’t be afraid to experiment with it and see how it can enhance your work. Incorporating The Golden Ratio into your design arsenal is a simple yet effective way to take your work to the next level.

Give it a try and see the difference it can make!

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Kristina

Graduate Student | Computer Science | Security | Design