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Most people think and work in the three-dimensional world (or the four-dimensional world if you consider time). In grade school, children first learn to use a number line, which is a one-dimensional construct. When they learn to graph simple functions, they begin visualizing these functions in two dimensions. When they move on to surfaces and functions of two variables, they are working in a three-dimensional world. One of the surprising facts of mathematics is that there are geometric objects with one or more dimensions that are not whole numbers. These objects with fractional dimension do exist and are called fractals. See how some simple rules can lead to incredibly complex patterns.