# Fibonacci - Golden Ratio

## A Design Theory by Matthew Bates

Biography of Matthew Bates

### Here are some examples of paintings I have made with the Fibonacci "grid" shown on top of the finished painting:

"Lovers Bridge in Verona" has dimensions which are 180cm x 80cm. By breaking up the width into two parts we get 50cm + 130cm with the height being 80cm, we get three consecutive Fibonacci numbers, 5, 8, 13. By doing this the overall design of the bridge fits naturally into the famous Fibonacci spiral. We also get two Fibonacci rectangles on the sides of the painting and a perfect square of 80cm x 80cm in the middle between the two Fibonacci rectangles.

"Entering the Duomo" shows the use of multiple Fibonacci grids in one painting.

"Piazza Santo Spirito" has the same dimensions as the painting on the right and offers a different point of view.

"Yellow Iris" uses the Fibonacci grid in its outside dimensions

"Via del Corso" has the Fibonacci Grid in its outside dimensions and shows the individual numbered squares going back into a 3d representation of the grid.

### I live in Firenze, Italy, I have been here for over twenty years, Firenze is beautiful, and it offers me an infinite amount of inspiration. Whenever I leave Firenze, something happens, the inspirational juices don't flow very well, I have to look very hard to find subjects worthy of my time, and sometimes I don't find anything at all, and I have to wait to get back to Firenze to get my mojo back. This has always made me wonder, is there something special about Firenze that is different than other places? Well obviously there is a ton of history and the artwork is unbelievable, and 500 years later, we are still left in awe by what the historic Florentines have left us.  But is there more? I have stared many times at the satellite image of Firenze provided by Google Maps, and it must be said that it is an amazing site.

Beautiful Firenze seen from above.

### The city has its origins in Roman times, the first outpost was supposedly made within the confines of what is now the very rectangular, Piazza della Repubblica. I thought to myself, what if I place the Fibonacci grid on top of the city, using Piazza della Repubblica as the “Number One” in the series. Something remarkable happened. The grid fits! Firenze itself corresponds to the Golden Ratio. Was it designed that way? I don't think so, it would be too hard to do, so that leaves us with the idea that Firenze has transformed itself over the centuries in a natural way to align up into the Fibonacci series.

By placing the Fibonacci Grid over Firenze, using Piazza della Repubblica as a starting place, the grid fits.

### Is that why I and many others find such divine inspiration in Firenze? Does living inside of the Golden Ratio actually energize us to be able to create better art? I believe so. Just like when I place my designs inside the Golden Ratio, when I place myself inside this same ratio, the magic happens. This pure form, the Golden Ratio, may be the answer to finding peace and harmony in our lives. It has offered me a very useful tool for making art, and it has made it easier for me to find inspiration as well.

Firenze, June 9, 2015, Matthew Holden Bates

Original Painting Galleries:

Flowers - Still Life - Cityscapes - Landscapes - Statues - Email