To change your animation window picture, select one of the following. All of these are iterated function system fractals animated as described in "Auto-Generating Fractal Movie". I'll add to the selections as time, space, and inspiration allow. Except as noted, each animation is made of 16 small .GIF files, each around 1000-2000 bytes in size.

For those whose browser does not support changing the animation window like this (see note below), I display the individual frames in some of the links. I have also written a JAVA applet to show the animation.

Note: I'm using the <ANIMATE> tag to change the animation. If your web browser does not support this tag, obviously you won't see the desired effect. What should happen is that your animation (the little window with something moving to show that your browser is still waiting on some response from a server) is changed to a looping movie showing my fractals. As well as I have been able to determine, only IBM's WebExplorer browser supports the <ANIMATE> tag. I know that Netscape Navigator 2.02 does not. But at least it runs the JAVA applet.

Watch the hanging frond grow. A much bigger version (640x480, 20 frames) is also available to those using my Java applet for displaying these movies. Of course, the big version takes longer to download!

Climb the corporate ladder.

Leaves on stalks. This looks a bit like an infant's mobile swinging, but you are actually flying into the fractal, following a mapping which includes a reflection. Because of the reflection, you must fly through the plane of the fractal.

Try the spinning spiral. This sequence uses only 12 .GIF files.

The hurricane. This sequence uses 24 .GIF files.

Everybody has to have a Seirpienski triangle...

Zoom into a simple (3-mapping IFS) spiral. This sequence uses 19 .GIF files. For those who are viewing using my Java applet and can wait on lots of data, I have a similar but much bigger version (320x240, 30 frames).

Zoom into the same fractal as above, except that the mapping on which the zoom is based includes a reflection. Consequently, although the fractal itself is the same subset of R², flying into it using the reflection mapping involves flying through the plane of the fractal. This sequence uses 19 .GIF files.

A higher-resolution variation on the theme. I haven't set this one up for the WebExplorer animation window; it's only viewable with my Java applet. This sequence uses 32 .GIF files.

All the mathematical details for creating fractal-based movie sequences such as these are in the public domain. The hurricane and spinning spiral are straightforward rotations; technique for the others is in "Automatically Generated, Perceptually Smooth Fractal Movie" and its references.

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