I am a fan of the Mandelbrot set since I have seen it the first time. I developed a screen saver for windows which displays the Mandelbrot set and zooms in randomly.
I also tried to develop something similar for the iPhone but did not succeed for the time. When I was investigating possibilities to draw lines in HTML code, I saw that with HTML 5 there is a new tag <Canvas> which allows exactly what I need.
Here is the result. I have created a page which shows the Mandelbrot set and the same for the Julia set. Both are very impressive. You can zoom in by clicking somewhere in the graph and even move the graph with the mouse.
Here is the page with the Mandelbrot set and
here is the page with the Julia Set.
A long time ago I was impressed from this bizarre images made of the mandelbrot set. And a few weeks ago I developed a screensaver which draws different details of the mandelbrot set.
Meanwhile I know a little bit more about this image and it is much more fascinating than ever before. I invested at lot of time to get this screensaver running. But now it works. It randomly selects a part of the currently painted image and zooms inside this part. The zooming goes on until the computer is not able to calculate more detailed information.
You can download the screensaver Mandelbrot and copy the file into the system directory. Then select the screensaver in the desktop property screen and make some odd settings there. You will enjoy it and be impressed of the different images of the Mandelbrot set.