Experimenting with Fibonacci’s Sequence

I started using the Golden Section to devise the composition of the portraits I paint and then became intrigued by other aspects of geometry in art, including the number sequence set down by the Italian mathematical genius Fibonacci (circa 1175-1250)

In essence, Fibonacci’s Sequence is illustrated by a spiral which becomes wider by a factor of pi for every quarter of a turn. 

This sequence is seen not only throughout the natural world – for example a fern unfolding or the Fallopian tubes - but also in computer algorithms including Fibonacci’s Search Technique and the Heap Data Structure, as well as in graphs such as Fibonacci’s Cubes. 

Often referred to as Divine Proportion, the sequence is recognisable in numerous images, objects and buildings which people find intrinsically beautiful and satisfying. 

The paintings and paper cuts shown here are the results of my experiments with Fibonacci’s Sequence.