Examples for

# Mandelbrot & Julia Sets

The Mandelbrot set is one of the most well-known and well-studied examples of a fractal. Wolfram|Alpha knows about this fractal as well as related concepts like Julia sets and variants of the Mandelbrot set like Mandelbar and Multibrot sets. Use Wolfram|Alpha to visualize, test membership and examine associated Julia sets.

### Julia Sets

Compute the Julia set (associated with points in or out of the Mandelbrot set) of any polynomial or rational function.

#### Plot the Julia set of a quadratic polynomial:

#### Plot the Julia set of an arbitrary polynomial:

#### Plot the Julia set of a rational function:

### Mandelbar Set

Compute with the Mandelbrot set's cousin, the Mandelbar set.

#### Plot the Mandelbar (tricorn) fractal:

### Mandelbrot Set

Visualize the Mandelbrot set, test point membership and see associated Julia sets.

#### Plot the Mandelbrot set:

#### Plot the Mandelbrot set and an associated Julia set:

### Multibrot Sets

Compute with Multibrot sets, a generalization of the Mandelbrot set.