The Mandelbrot set is determined by the set of complex numbers which do not diverge when the equation
is iterated. This equation diverges once the magnitude of "z" is greater than 2. The number of iterations before "z" diverges is found at each point in the complex plane and assigned a color based on the number of iterations.
The Julius sets are generated from the Mandelbrot equation when
where "c" is a complex number which determines the different Julius set and does not vary over the complex plane like it does for Mandelbrot.
I decided it would be cool to make a program that could display various fractals at different resolutions and regions in the complex plane. Here are some cool fractals I plotted:
Mandelbrot
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| Mandelbrot Set |
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| Mandelbrot Corner |
Julius
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| Julius Set for some "c" (that I forget) |
Burning Ship Fractal
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