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fractalsequations

Basic Julia Set

I know how to generate a basic Mandelbrot fractal based on the system Z -> Z + C, which breaks down to:

X -> X² - Y² + A Y -> 2XY + B

Is there a basic definition for a Julia set though on the same simple level, or at least a relatively simple level?

Solution

  • The "classic" Julia set is described by Zn+1 = Zn + C just as the Mandelbrot set.

    However, while the Mandelbrot set starts with Z0 = 0 and varies C across "the pixels", the Julia set varies Z0 across "the pixels" and has a constant C throughout the set.