Images of Chaotic Dyanamical Systems:

Julia sets, Lorenz attractor, Cauliflower, Pipe Organs

	Here we present a quick review of what a Julia set is. In particular, orbits of points are discussed and how the computer uses them to color both the "inside" and "outside" of the Julia set.
	If a Julia set has an attracting cycle, it's pretty easy to find the points on the cycle. But here's a way to locate the repelling cycles of the Julia set, of any given period.
	My thesis student Chris Danforth wanted to study the Lorenz attractor. Here are a couple pictures and animations of this amazing object.
	The cauliflower is a perfect example of a 3?-D fractal found in nature.
	Can the display pipes of a pipe-organ be considered a fractal? Consider this!