Domain Coloring

Overview

This program generates a series of pictures which can be run through a program, such as ffmpeg, to produce a domain coloring movie. It also creates an X11 display for viewing it as you go.

The program was adapted from this code found on Wikipedia and with much help from Chris Wellons to actually get it to compile. I've since made an online version too.

Source Code

Making Graphs

Being lazy I didn't include the ability to pass in parameters. Everything is defined in very simple to read constants at the top of domainColoring.c, and the function that defines the graph is called fun. Obviously every change requires a recompile. I know of no 'eval' type functionality in C, so no matter what the source always has to be changed when making a new function.

Movies Of Execution

• Variables:
• s: Complex input
• t: Time/Frame of Animation
• Click on a formula to see it's movie:
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Tetration

Teaser pictures, will expand more on this in the future:

    

Conclusion

This works well, and I have already gotten quite a bit of use out of it. This biggest drawback is needing to recompile for little changes to the algorithm used.