Julia and Mandelbrot Sets

 

Chapter 4. The functions used for iteration is [Graphics:j8.txtgr1.gif].

[Graphics:j8.txtgr2.gif]}.

The boundary of K is the Julia set corresponding to c.

The Mandelbrot set M is defined as follows.

M = {c: the Julia set for [Graphics:j8.txtgr3.gif] is connected},
M = {c: the orbits of 0 determined by [Graphics:j8.txtgr4.gif] are bounded}.

The Mandelbrot set M is shown in the figure.

The Mandelbrot set.

 

 

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(c) John Mathews, 1998, 2006