FractalSaver is a screensaver for the saver program on the BeBox. (From
Hiroshi Lockheimer, I hope I got that spelled right).

Every 20 seconds, it generates an iterative function system randomly,
consisting of a random number (2 through 22) of affine transformations
of the form F(x) = M x + b where M is a square matrix, and b is a
vector, and x is a vector. It then begins with a random point, and draws
points in a tight loop by computing the next point to draw from a
(randomly chosen) mapping of the previ