Here is the Real Time Interactive Computer Animation (RTICA) that I developed for my project. It should work in most browsers on most operating systems.
Feel free to browse my project documentation. It covers the mathematics behind my RTICA as well as how I went about programming it.
I attempted to turn Greg Tavarres' rotating 3D cube into a rotating 4D hypercube . I'm not sure if it's totally correct, it looks a little wonky. This is not part of my Chaos Game project, this was just for fun.
I researched the algebra for 4D graphics here: http://steve.hollasch.net/thesis/chapter2.html