The Mandelbrot set is a particular mathematical set of points, whose boundary generates a distinctive and easily recognizable two-dimensional fractal shape. More detail on Wikipedia..
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I just finished teaching this to my Precalculus students! Every year, it’s one of their favorite topics. We used this applet to explore the relationship between Julia Sets and the Mandelbrot Set.
Oops, forgot to include the link to the applet:
http://math.bu.edu/DYSYS/applets/JuliaIteration.html
That’s very useful. Many thanks for sharing.