Complex numbers have interested me since I was an undergraduate. I've written a Mandelbrot program that lets you zoom through the Mandebrot set. The nearly current version of this is written for the Amiga and is available on BIX.

A much earlier version of this program 'SMan' is available at The file name is SMan.lha. I'll try to get a more recent version posted there in the near future.

If you wish, you may dowload a current version of SMan3x.lha. Note that the file is not up to date, and this version assumes you have a graphics card supported by the CyberGraphics RTG graphics system. The latest version can be found at The filename will start with CGraphX. The software is commerical, but the demo version provided will work with a number of graphics cards.

If you don't have a supported graphics card, SMan should still work on the Workbench screen with limited resolution and number of colors.

For those of you that don't have an Amiga (probably most of you), here is a 32-bit version of SMan called that works under Windows.

Actually it's written so that it will work under most versions of Windows and MS-DOS emulators that can run Windows.

For the lucky few Amiga owners with a CyberStorm PPC from Phase 5, here is a beta version that runs on that board. It's assumed you have the board, sufficent ram, and AmigaDOS 3.x. Furthermore, you should at least have an A4000, or a third party graphics card that uses the CyberGraphics RTG system, although it will run on a standard 640 by 480 screen with only 16 colors. Here's the third release, SManPPCb3.lha. Be certain to read the ReadMe.First file before doing anything else.

Here's another sample image.

Of course, Mandelbrot images take a fair amount of time to generate, and even longer to turn into a stereoscopic pair. I've done an animation sequence (stored on hard disk) that centers on a single point in the complex plane and shows a simulated growth as a larger cut-off point is used for the exclusion from the Mandelbrot set.

A stereoscopic pair selected from that animation is shown below. It requires the crossed-eye method of viewing.

The easiest way to get the two images to merge into one is the get about an arm's length from the screen, place one of your fingers near the center of the image, direct your attention to the finger, and gradually bring the finger toward your nose. Eventually, you should find a position for the finger where the two images have merged into one.

At that point, there will be three images apparent, but you should only focus your attention on the center image.

Disclaimer: Some or all of the above links may be no longer active.