The Mandelbrot set is the most studied fractal set. It is defined in the complex plane by fixing any complex number c. From c, a sequence is constructed by recursion:
\(Z0 = 0 \) ∈ ℂ
\(Zn+1 = Zn2 + c\)
The Mandelbrot set comprises those complex numbers c for which the sequence does not diverge.
In this project, an interactive representation of the Mandelbrot set is displayed. To explore the set, simply click, and the marked area will be magnified.
Tip: Explore the edges to uncover intricate patterns!