The Fibonacci Sequence: A golden Ratio

fibonacci sequence in animation

The Golden Ratio

Nature has a common mathematical ratio for aesthetics. This is called the Golden Ratio which is based on the Fibonacci sequence. The sequence is simple:
0, 1, 1, 2, 3, 5, 8, 13, 21……

The subsequent number is found by adding the two numbers prior to it. But what does this have to do with design?
To put it simply, it is a natural pattern of beauty that is commonly seen in nature and is also an important aspect of design. The effective use of design space is what holds a design together and can be the main difference between a mediocre design and an amazing one. Many designers pick their size and spacing based on their “instincts”. However, the use of a definite number and pattern enables the human brain to find unity in the design, enabling a sense of a completely polished piece.

A simple example of this is in the picture. Anyone can easily draw a spiral but by plotting the scale relationships of the Fibonacci numbers, we are able to create a perfectly, aesthetically pleasing form. This is something an aspect of design which has been observed for thousands of years in nature. It is the natural numbering system which appears in all forms of flowers, pinecones, shells, leaves, or even pineapples. As Parveen (2014) mentions:

“In the seeming randomness of the natural world, we can find many instances of mathematical order involving the Fibonacci numbers themselves and the closely related “Golden” elements.”

In short, mathematicians can also be effective designers. Artistic designs have a form and rule which can help create an amazing piece without the uncertainty of “eyeballing” the design. The Fibonacci sequence is an aspect of the golden ratio which helps designers understand the effective use of space in their projects as it is the underlying mathematical sequence in the natural formation of life around us.

Parveen, N. (2014). Fibonacci in Nature. [ONLINE] Available at: [Accessed 13 November 2014].

Guide to the Golden Ratio (2014). Creative Bloq. [ONLINE] Available at: [Accessed 13 November 2014].

How To Design Using The Fibonacci Sequence (2014). Psychology of Web Design | 3.7 Blog. [ONLINE] Available at: [Accessed 13 November 2014].