As a matter of fact, that fern is fractal. The fern, something found in nature, exhibits fractal characteristics. What does this fractal order mean for chaos?
As we already know (hopefully), both fractals and chaos undergo iteration. The question that then arises is whether iterations of apparent chaos could cause some kind of fractal order. Well, to do this, let's play a little something called the chaos game. Random points will be placed, following a set of four rules depending on the size of a number. As always, a Java applet is here to demonstrate.
Okay, obviously that chaos game could only be done using the computer. You probably want one that you can play. First, you need a few materials. You need a pencil, a die, a ruler, and sheet of paper with an equalateral triangle with its vertices labeled A, B, and C.