Fractals, according to Wikipedia, "exhibit a repeating pattern that displays at every scale." Scalable Vector Graphics (SVG) allows symbol reuse, scaling, and is resolution independent. It is a perfect image type for a fractal display.
The SVG and Javascript code for the Random Apollonian Circle Fractal below was taken from Wikibooks under the Creative Commons Attribution-ShareAlike License. Click on the image, then be sure to refresh it several times.
More Fractals
The images below replace the triangle symbol in the SVG code with a circle, heart, and tulip respectively. Minor change with interesting results.
Click on any of the fractal images to display them full screen in SVG. Be sure to view the source code to see how the fractal scales and what can be done with just a few lines of code.