Mandelbrot Artwork by Jim Chapple

Benefits of Buying

• You will possess artwork that few others will have. You can frame it how you like.
• You can have a t-shirt that stands out from the crowd. People will not have seen anything like it.
• You can have a bag that others can admire. It will make people notice you.
• Coasters, Posters, Cushions, Acrylic prints and Canvas prints they are all available and will all stand out.

The Mandelbrot set has been used to generate the fantastic abstract images on this site. Within the mandelbrot set are an infinite number of different images. On this site are 120 images generated using a program written by myself (Jim Chapple). As I generate more I will upload more.

This is one of my favourite images. It shows part of the Mandelbrot set. It is deep within the set, many zooms down. If you look closely it amply shows how the set repeats itself but never exactly. In the center is a whorl and around this are many other whorls. If you zoomed into one of these you will produce an image that is similar, but not the same, to it. The colours will be the same but not exactly. It is altogether fascinating what can be generated.

This image shows the edge of the mandelbrot set where the image is black this is where the calculation has had to be adandoned because it could take an ininite number of calculations to exceed the required value. All the other colours are there because the value for each pixel did exceed the value after a number of iterations. The colours are then allocated based on the number of iterations for a pixel. So if the colour is the same the number of iterations are the same.

Look at the image below and this image and as you can see at the edges are circular structures that look like the circular structure below. These images show how the mandelbrot set repeats itself. But it never repeats itself exactly. If you look at the image at the bottom you might even be able to detect the same circular structures in that image.

The Mandelbrot set has been around since the early 1980s. It is a set of values, the boundary of which forms a fractal. The values can be used with various colouring formulae to generate the stunning images on this site.

The image to the left shows a partially zoomed in image of the mandelbrot set. It shows how the set repeats itself. It shows a circle that has other mandelbrot patterns connected to it and is itself is connected to a larger part of the mandelbrot set, this can be partially seen at bottom left.

I have been fascinated by the mandelbrot set and the images that can be generated using it since my early 20s. I have over the years created a number of programs that have allowed me to create these images. It is my latest program that has been used to generate these quality images.

This new program has succeeded because I have finally created some colouring algorithms that allow me to take the values generated and use them to colour the images. Another change has been that computers are much faster than they were. There are billions of calculations required to generate the values and then billions more to colour the images. This used to take many hours now it takes a few hours to generate and colour an image.

This is one of my favourites. It is buried deep within the set. To find this image I had to zoom into the set many times. To me it has all the right combinations of colours and, unlike others, I actually like the banding of the colours. Others say that the banding detracts from images but I disagree. Some images just look better with it. Some do not. The Mandelbrot Images Gallery has both type of images. Some have smooth transitions and others do not. The decision to use smooth or banded colours is part of the selection for the colouring algorithm used.

I have decided to highlight this image because the more I look at it the more I see a pink elephant. It is indeed very strange what can be found hidden within the mandelbrot set.

And if you cannot see the elephant to the left then maybe you can see the elephants in the image below. There are four of them moving left to right.

I am hoping to find other animals in the images generated but I am not holding my breath.

Finally, as I have said these images need billions of calculations to genderate them. I have generated them on my laptop that gets quite hot. I knew it got quite hot but did not realise just how hot. I rest the laptop on a book because it gets hot when generating these images. I spent some time one day generating images and at the end took the laptop off the book. On the back of the book it had four burn marks where the feet of the laptop were. Imagine if I had been resting that on my legs. I could have burnt myself. That would have been too much to pay or my art. Others have cut off ears and other body parts but I feel no need to go that far. I do regret burning the cover of the book, though.