100 Free Fractal Images Organized by Color
Fractals are a popular type of mathematical artwork generated by sets that exhibit infinite repetition and patterns. A fractal repeats itself on a smaller scale with each subsequent iteration, so when you zoom in on a small area of the fractal, what you see is equally intricate. Above is a simple example of a fractal, the von Koch snowflake, generated by taking a triangle and appending smaller triangles to the center of every edge, repeating ad infinitum. The Sierpinski triangle is another simple example of a fractal set.
Fractals make for eye-pleasing desktop backgrounds, website backgrounds, avatar images, e-book covers, graphic design elements, and other visual elements in electronic media. In the gallery below are over 100 free-to-use images of fractals that you can add to your collection, organized by color scheme.
Larger Resolutions: To view each fractal image in its full-size resolution in a separate tab, copy and paste the "hubpages.com/u/xxxxxxxx.png" link in the caption below each picture. These images are released to the public domain, so you are free to share or modify them. If you like this collection, please give a link back.
Purple and Violet FractalsClick thumbnail to view full-size
Blue FractalsClick thumbnail to view full-size
Green Fractal ImagesClick thumbnail to view full-size
Yellow Fractal ImagesClick thumbnail to view full-size
Orange FractalsClick thumbnail to view full-size
Red FractalsClick thumbnail to view full-size
Pink and Magenta Fractal ImagesClick thumbnail to view full-size
More Mathematical Art
How to Make Your Own Fractal Patterns
There are several free programs you can download to create fractals. Ultra Fractal is a paid program with a free-trial version. You can use the pre-set fractal equations, or add your own equations to the library. Mandelbrot Explorer is another free fractal program that lets you zoom in on areas of the Mandelbrot set and Julia set, two of the most famous fractal patterns. No mathematical knowledge required for either program!
Rainbow Colored Fractal ImagesClick thumbnail to view full-size
Fractals in Pastel ColorsClick thumbnail to view full-size
Fractals with White BackgroundClick thumbnail to view full-size
Fractals with Black BackgroundClick thumbnail to view full-size
Primary Color (Blue/Red/Yellow) FractalsClick thumbnail to view full-size
Who Invented Fractals?
What is known as "fractal art" was discovered by French mathematicians Pierre Fatou and Gaston Julia while studying mappings of complex numbers in the early 1900s. This field of inquiry was taken up by Mandelbrot in the 1960s, and further developed with the aid of computers to give us the beautiful designs we today call fractals.
However, abstract mathematical objects exhibiting self-similar behavior, i.e., fractal behavior, had been studied since much earlier. For example, the Cantor set is a one-dimensional fractal that was discovered in 1874. To constrict the Cantor set, take the interval [0,1] and remove the middle third. Then, from the sub intervals that remain, remove their middle thirds. Continue this middle third removal ad infinitum.
Though "Mandelbrot" is the name most commonly associated with the term "fractals," his work built upon generations of earlier mathematical discoveries.