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This application allows you to iterate the Mandelbrot Function using the coordinates of the point you select on the plane as the value of C. As the iterations progress, the orbit representing the sequence of values that Z has taken during the process will be traced.

In a very visual way, you will be able to identify the values of C that generate divergent orbits and those that produce convergent orbits, along with their periods.

The values of C that generate convergent orbits are part of the Mandelbrot Set and are usually represented in black. On the other hand, the values of C that generate divergent orbits can be colored according to the number of iterations required to exceed the escape radius, using a color palette to facilitate their interpretation.

The Mandelbrot Set represents all points C for which a connected Julia Set exists.