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*Fractals are infinitely complex patterns that are self-similar across different scales.  

*Fractals are infinitely complex patterns that are self-similar across different scales.  

*This property is called self-similarity.  

*This property is called self-similarity.  

*Fractals form a never ending pattern, created by repeating a simple process over and over, in an ongoing feedback loop.Mandelbrot Set is the set of points in the complex plane with the sequence <math>(c,c^2+c,{(c^2+c)}^2+c,{{((c^2+c)}^2+c)}^2+c, {{{(((c^2+c)}^2+c}^2+c)}^2+c,...)</math>  where the result does not approach infinity.  

*Fractals form a never ending pattern, created by repeating a simple process over and over, in an ongoing feedback loop.Mandelbrot Set is the set of points in the complex plane with the sequence <math>(c,c^2+c,{(c^2+c)}^2+c,{{((c^2+c)}^2+c)}^2+c, {{{(((c^2+c)}^2+c)}^2+c)}^2+c,...)</math>  where the result does not approach infinity.  

*The Julia Set is closely related to Mandelbrot Set.

*The Julia Set is closely related to Mandelbrot Set.

*The Mandelbrot Set is obtained from the quadratic recurrence equation <math>z_{n+1}={z_n}^2+c</math>, (with<math>z_0</math>=0), where points c in the complex plane for which the computed value of <math>z_n</math> does not tend to infinity.

*The Mandelbrot Set is obtained from the quadratic recurrence equation <math>z_{n+1}={z_n}^2+c</math>, (with<math>z_0</math>=0), where points c in the complex plane for which the computed value of <math>z_n</math> does not tend to infinity.