Part 1 of Essay
non A fractal is a type of geometric figure. It is generated by starting with a very simple pattern such as a triangle and, through the application of many repeated rules, adding to the figure to make it more complicated. Often, an input will be entered into a recursive function and it will yield an output. This output ....

Part 2 of Essay
.... dimension. Mandelbrot named his creations fractals because each part is a fraction of the whole figure. The Chaos Theory describes the complex and unpredictable motion of systems that are sensitive to their initial conditions. Chaotic systems follow precise laws but their irregular behavior can appear to be random to the casual observer. For example, weather is a chaotic system. If the rays of the sun bounce off the hood of a car in a certain way, causing a breeze, the breeze could blow a leave off a tree, ....