INMAA Online
"Making Beautiful Music in the Mathematics Classroom" Part II     by Matt DeLong

An example of organized, or layered, or hidden complexity leading to beautiful mathematics can be found in fractal geometry. The most familiar fractal is probably the Mandelbrot Set, which has infinite complexity that can be seen by repeated zooming. We study the Mandelbrot Set in both my liberal arts mathematics class and a summer class on Chaos and Fractals for high school honors students.
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