section_path: Applications/Geometry/Fractal geometry
section_name: Fractal geometry
paragraph_text: Fractal geometry
  
  The Mandelbrot set is a popular example of a fractal formed on the complex plane. It is defined by plotting every location c {\displaystyle c} where iterating the sequence f c (z) = z 2 + c {\displaystyle f_{c}(z)=z^{2}+c} does not diverge when iterated infinitely. Similarly, Julia sets have the same rules, except where c {\displaystyle c} remains constant.