Torrid Zone

http://davis.wpi.edu/~matt/courses/fractals/brownlines.jpg

Brownian Motion

It is a rather easy process to create rather realistic 2 dimensional islands using Brownian motion. To create an island you simply use a looping Brownian Motion function. A looping fuction is one that will eventually come back to its starting point after a finite number of steps. To create the 2D Brownian Motion function you simply replace X(t) with X(x,y). An example of an island created with this process is shown below.[3]

This image clearly shows the looping process of the Brownian function. To create the island you simply fill in the area that is enclosed within the loop created by the function. The result is a very nice looking islnd.