Part one of term paper
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 is then inserted bac ...

Part two of term paper
... brought to the public's attention by the work of French mathematician Benoit B. Mandelbrot in the 1970's. Mandelbrot discovered how to calculate fractal dimensions. The formula for fractal dimension is N=2D where N equals the number of copies of the original figure, which is calculated by doubling its size and D is the 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 sys ...