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P4 Topic 3: Complex numbers
Zooming in on the Mandelbrot set backmore
This activity allows you to investigate the Mandelbrot set associated with the iterative process zn = zn-12 + c by zooming in on any part of the diagram. Wait until the Mandelbrot set is ready. To select a zoom area, click the mouse down and push. Mouse click without push brings the start-area back.
Noted that this will not be tested in any A Level or Further Mathematics exam.

Source: The JavaBoutique
This second version also allows you to investigate the "Julia set" too. See the references below for further explanations.

You need to have a java enabled browser like Netscape Navigator 4 to view this java applet.

Summary
The Mandelbrot set is a part of the Argand diagram that arises from an iterative process.
For more on the Mandelbrot set read Chaos by James Gleick, or The Armchair Universe by A.K.Dewdney.
Project Interactive, Shodor: interactive statistics an applet from Project Interactive, Shodor Educational Foundation