2.8 The Fractal
Mandelbrot Set
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•Here z and c are complex numbers (with real & imaginary parts)
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•For some values of c, the trajectory will diverge to infinity
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•For others, it will converge (to fixed points, chaotic orbits, etc)
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•Values of c giving convergence constitute the Mandelbrot set
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•We view a plane whose axes are the real & imaginary parts of c
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•The set itself will be coloured black
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•Other points are coloured, depending on the rate of divergence
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•Mathematically, the sequence of shrinking patterns never ends !!
• Click  for simulation                                       
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