# Creativity and the Fibonacci sequence

I have been fascinated by the Fibonacci sequence for many years, its relationship to the golden ratio, and its association with growth.

The Fibonacci sequence F(n) is 0 1 1 2 3 5 8 13 21 34 55 …

where F(n) = F(n-1) + F(n-2)

There are many other subtleties to it than just that, but you check out more on wikipedia if you are interested.

With my interest in creativity, and how ideas develop, I thought I would suggest an analogy to the Fibonacci sequence from a creative perspective. In my revised version, the Fibonacci sequence has a real and imaginary part, i.e. it is a complex number. The real part represents ideas/conscious thoughts and matches the standard Fibonacci sequence, and the imaginary part relates to potentials – currently undiscovered possibilities/unconscious thoughts. My revised sequence therefore goes as follows:

Creative Fibonacci sequence:

CF(0) = 0 + 1i (starts as an initial potential)

CF(1) = 1 + 1i (potential becomes a conscious idea)

CF(2) = 1 + 2i (the new conscious idea then generates an additional potential)

CF(3) = 2 + 3i (the ideas continue to grow)

CF(4) = 3 + 5i

CF(5) = 5 + 8i

In my revised sequence, an initial idea starts as a potential in the imaginary/unconscious domain and then manifests itself as an idea in the real domain.  This manifestation could be triggered, for example,  by aspects described in my LCD model.  This idea then matures, perhaps through reflection, experimentation and feedback.  This then results in an additional potential back in the imaginary / unconscious domain. This process then repeats itself and the idea is able to grow and generate a range of new ideas and potentials – an example of divergent thinking.