M1Maths.com banner

M1Maths

FRACTAL ART

Free Fractal Art       Other Fractal Art       How Fractal Art is Made

Free Fractal Art

The images below are public domain or creative commons, so can be downloaded, stored and re-published. You may need to acknowledge them if you re-publish them.

Click on a thumbnail to be taken to the source site for a full-size image.
As these images are on other sites, it is possible that some will have removed.

>

Back to the Top

Other Fractal Art

The websites below contain fractal art images which may have restrictions on their use.

https://www.shutterstock.com/search/fractal

https://stock.adobe.com/au/search?k=fractals

https://www.deviantart.com/topic/fractal

https://pixabay.com/images/search/fractal%20art/

https://www.smashingmagazine.com/2008/10/50-phenomenal-fractal-art-pictures/

https://matthias-hauser.pixels.com/collections/fascinating+fractals

https://wall.alphacoders.com/by_sub_category.php?id=170808&name=Fractal+Wallpapers

https://www.dreamstime.com/illustration/spiral-fractals.html

https://fineart-planet.com/

https://wallpapercave.com/4k-fractal-art-wallpapers

https://depositphotos.com/stock-photos/fractal.html

Back to the Top

How Fractal Art is Made

The basic way to produce fractals is to choose an iterative operation to be performed on complex numbers, e.g. square it and add 0.6. Then, for each point (complex number) near the origin of the complex plane, keep performing that operation until the result is more than a set distance (e.g. 2) from the origin (the point 0 + 0i). Then colour the starting point according to the number of iterations taken, using a chosen relation between number of iterations and colour.

For many operations, a fractal pattern will emarge. Of course, because of the huge number of operations required, fractals must be computer-generated. Some art superimposes fractal patterns and/or modifies the resulting picture in other ways.

A fuller explanation can be found in the M1Maths module
https://m1maths.com/N6-1-complex-numbers.pdf
or via a Google search.

Back to the Top