# 100 Free Fractal Images Organized by Color

TR Smith is a product designer and former teacher who uses math in her work every day.

Generation of a simple fractal, the von Koch snowflake

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 Fractals

Click thumbnail to view full-size
A purple fractal. Full-size: http://hubpages.com/u/8728567.png
A purple background fractal image. Full-size: http://hubpages.com/u/8728550.png
Another violet fractal. Full-size: http://hubpages.com/u/8728575.png | Source
Vivid purple fractal image. Full-size: http://hubpages.com/u/8728656.png
Pink and violet fractal. Full-size: http://hubpages.com/u/8728786.png

## Blue Fractals

Click thumbnail to view full-size
Blue fractal image. Full-size: http://hubpages.com/u/8728720.png
Blue hued fractal. Full-size: http://hubpages.com/u/8728985.png
Blue fractal spiral. Full-size: http://hubpages.com/u/8729078.png
Blue fractal spiral. Full-size: http://hubpages.com/u/8729085.png
Blue floral fractal. Full-size: http://hubpages.com/u/8729087.png

## Green Fractal Images

Click thumbnail to view full-size
Green floral fractal. Full-size: http://hubpages.com/u/8729457.png
Green fractal image. Full-size: http://hubpages.com/u/8729464.png
Green fractal. Full-size: http://hubpages.com/u/8729479.png
Green fractal set. Full-size: http://hubpages.com/u/8729501.png
Green spiral fractal. Full-size: http://hubpages.com/u/8729515.png

## Yellow Fractal Images

Click thumbnail to view full-size
Yellow fractal spiral. Full-size: http://hubpages.com/u/8731078.png
Fractal in yellow. Full-size: http://hubpages.com/u/8731080.png
Yellow fractal image. Full-size: http://hubpages.com/u/8731081.png
Yellow fractal. Full-size: http://hubpages.com/u/8731094.png
Yellow fractal spiral. Full-size: http://hubpages.com/u/8731096.png

## Orange Fractals

Click thumbnail to view full-size
Orange colored fractal. Full-size: http://hubpages.com/u/8731133.png
Orange background fractal. Full-size: http://hubpages.com/u/8731271.png
Orange fractal image. Full-size: http://hubpages.com/u/8731276.png
Orange spiral fractal. Full-size: http://hubpages.com/u/8731304.png
Orange butterfly fractal. Full-size: http://hubpages.com/u/8731355.png

## Red Fractals

Click thumbnail to view full-size
Red fractal design. Full-size: http://hubpages.com/u/8731555.png
Red hued fractal image. Full-size: http://hubpages.com/u/8731571.png
Red fractal double spiral. Full-size: http://hubpages.com/u/8731582.png
Bright red fractal. Full-size: http://hubpages.com/u/8731750.png
Red fractal. Full-size: http://hubpages.com/u/8731759.png

## Pink and Magenta Fractal Images

Click thumbnail to view full-size
Pink fractal. Full-size:http://hubpages.com/u/8731813.png
Pink fractal swirl. Full-size: http://hubpages.com/u/8728705.png
Pink butterfly fractal. Full-size:http://hubpages.com/u/8731799.png
Pink fractal. Full-size:http://hubpages.com/u/8731803.png
Pink and green fractal. Full-size: http://hubpages.com/u/8731809.png

## 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 Images

Click thumbnail to view full-size
Rainbow colored fractal. Full-size: http://hubpages.com/u/8728990.png
Rainbow spiral fractal. Full-size: http://hubpages.com/u/8728734.png
Multi-colored fractal image. Full-size: http://hubpages.com/u/8728740.png
Rainbow fractal spiral. Full-size: http://hubpages.com/u/8728747.png
Rainbow fractal. Full-size: http://hubpages.com/u/8728996.png
Rainbow butterfly fractal. Full-size:http://hubpages.com/u/8731779.jpg
Rainbow swirling fractal. Full-size:http://hubpages.com/u/8747507.png

## Fractals in Pastel Colors

Click thumbnail to view full-size
Pastel colored fractal image. Full-size: http://hubpages.com/u/8728673.png
Fractal in pastel colors. Full-size: http://hubpages.com/u/8728678.png
Pastel spiral fractal. Full-size: http://hubpages.com/u/8728756.png
Pastel swirling fractal image. Full-size: http://hubpages.com/u/8728763.png
Pastel fractal image. Full-size: http://hubpages.com/u/8729536.png

## Fractals with White Background

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Pink fractal on white background. Full-size: http://hubpages.com/u/8728878.png
White background fractal. Full-size: http://hubpages.com/u/8729000.png
Green fractal on white background. Full-size: http://hubpages.com/u/8729528.png
Green trilobite fractal. Full-size: http://hubpages.com/u/8731875.png
Olive green fractal on white. Full-size: http://hubpages.com/u/8731880.png

## Fractals with Black Background

Click thumbnail to view full-size
Rainbow fractal with black background. Full-size: http://hubpages.com/u/8728865.png
Black fractal. Full-size: http://hubpages.com/u/8728873.png
Black background fractal. Full-size: http://hubpages.com/u/8729403.png
Black background fractal. Full-size: http://hubpages.com/u/8729405.jpg
Black and blue fractal. Full-size: http://hubpages.com/u/8731895.png

## Primary Color (Blue/Red/Yellow) Fractals

Click thumbnail to view full-size
Blue, yellow, and red fractal. Full-size: http://hubpages.com/u/8728840.png
Fractal with primary colors. Full-size: http://hubpages.com/u/8729380.png
Primary colors fractal. Full-size: http://hubpages.com/u/8729381.png
Fractal in primary colors. Full-size: http://hubpages.com/u/8729539.png
Primary color fractal. Full-size: http://hubpages.com/u/8731219.png

## 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.

## Gray-Scale & Black-and-White Fractals

Click thumbnail to view full-size
Black and white fractal. Full-size: http://hubpages.com/u/8731908.png
White on black spiral fractal. Full-size: http://hubpages.com/u/8731032.png
Black on white fractal. Full-size: http://hubpages.com/u/8731038.png
Gray fractal spiral. Full-size: http://hubpages.com/u/8731899.png
Black and white fractal. Full-size: http://hubpages.com/u/8731910.png

## Green, Red, and Pink Fractals

Click thumbnail to view full-size
Green and pink fractal. Full-size: http://hubpages.com/u/8728626.png
Red and green fractal. Full-size: http://hubpages.com/u/8728640.png
Green and red fractal image. Full-size: http://hubpages.com/u/8728646.png
Pink and green fractal. Full-size: http://hubpages.com/u/8729415.png
Magenta and green fractal. Full-size: http://hubpages.com/u/8729433.png

## Blue and Orange Fractals

Click thumbnail to view full-size
Blue and orange fractal. Full-size: http://hubpages.com/u/8732052.png
Blue and orange fractal. Full-size: http://hubpages.com/u/8732055.png
Orange and blue fractal. Full-size: http://hubpages.com/u/8732064.png
Blue and orange fractal image. Full-size: http://hubpages.com/u/8732070.png
Orange and blue fractal spirals. Full-size: http://hubpages.com/u/8732075.png

## Red and Yellow Fractals

Click thumbnail to view full-size
Red and yellow fractal spiral. Full-size: http://hubpages.com/u/8728771.png
Yellow and red fractal. Full-size: http://hubpages.com/u/8728795.png
Red and yellow fractal image. Full-size: http://hubpages.com/u/8728800.png
Red on yellow fractal. Full-size: http://hubpages.com/u/8731089.png
Red and yellow fractal. Full-size: http://hubpages.com/u/8731243.png

## Purple and Blue Fractals

Click thumbnail to view full-size
Blue and purple fractal. Full-size: http://hubpages.com/u/8728819.png
Blue-violet fractal. Full-size: http://hubpages.com/u/8732131.png
Violet-blue fractal. Full-size: http://hubpages.com/u/8732265.png
Blue and purple fractal. Full-size: http://hubpages.com/u/8732283.png
Blue and purple fractal design. Full-size: http://hubpages.com/u/8732305.png

## Green and Yellow Fractals

Click thumbnail to view full-size
Yellow and green colored fractal image. Full-size: http://hubpages.com/u/8728594.png
Green and yellow fractal image. Full-size: http://hubpages.com/u/8728598.png
Yellow/green spiral fractal. Full-size: http://hubpages.com/u/8728688.png
Green and yellow fractal spiral. Full-size: http://hubpages.com/u/8728765.png
Yellow and green fractal. Full-size: http://hubpages.com/u/8728830.png

## Blue, Red, and Pink Fractals

Click thumbnail to view full-size
Red and blue colored fractal image. Full-size: http://hubpages.com/u/8728578.png
Blue, red, and pink fractal. Full-size: http://hubpages.com/u/8728859.png
Red and blue fractal. Full-size: http://hubpages.com/u/8731676.png
Magenta and blue fractal. Fulll-size: http://hubpages.com/u/8732181.png
Red and blue fractal design. Full-size: http://hubpages.com/u/8732197.png

## Blue and Green Fractals

Click thumbnail to view full-size
Blue and green fractal. Full-size: http://hubpages.com/u/8728632.png
Blue and green fractal. Full-size: http://hubpages.com/u/8731955.png
Light blue and green fractal. Full-size: http://hubpages.com/u/8731964.png
Blue and green fractal. Full-size: http://hubpages.com/u/8732009.png
Green and blue fractal. Full-size: http://hubpages.com/u/8732021.png

## Blue and Yellow Fractals

Click thumbnail to view full-size
Yellow and blue fractal. Full-size: http://hubpages.com/u/8728853.png
Blue and yellow fractal design. Full-size: http://hubpages.com/u/8729044.png
Blue and yellow fractal. Full-size: http://hubpages.com/u/8729045.png
Yellow and blue fractal. Full-size: http://hubpages.com/u/8729049.png
Blue on yellow fractal. Full-size:http://hubpages.com/u/8729077.png

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• P Williams 3 years ago from France

Beautiful! It's so convenient to have them sorted by color.

• Janine 3 years ago

Bookmarked this collection and will definitely be printing out some of your fractal art. I make my own decorative paper boxes and envelopes for selling jewelry, so I'm always looking for interesting black-and-white patterns I can photocopy cheap.

• rebekahELLE 2 years ago from Tampa Bay

Absolutely gorgeous hub. I love fractals and these are stunning. I see some favorites that I would love to use. I love the format you used to showcase these beautiful images. Well done!

• renato valadez 2 years ago

Very kul hub! great job:)

• Jackie Lynnley 16 months ago from The Beautiful South

Wow, I haven't seen anything like this! I love it.

Shared.