June 28, 2008

The Mandelbrot Set

The Mandelbrot Set consists of points in the complex plane that are bounded when undergoing an infinitely iterative (repeated) process which involves simple algebraic operations.

It is the elaborate boundary of this set that forms a fractal that does not simplify at any magnification. The Mandelbrot Set has been popularized for its aesthetic appeal and for its complexity that arises from its simple definition.

The Mandelbrot Set is introduced to Chi Hi students in Algebra II classes and examined further in our Math Investigations, Intro Calculus, and AP Calculus courses.

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