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Created page with "<div style="font-size:30px">'''MANDELBROT'''</div><br/> ==Description== *This function shows the figure of the Mandelbrot. *Fractals are infinitely complex patterns that are ..."
<div style="font-size:30px">'''MANDELBROT'''</div><br/>
==Description==
*This function shows the figure of the Mandelbrot.
*Fractals are infinitely complex patterns that are self-similar across different scales.
*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.
*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.
==Examples==
==See Also==
*[[Manuals/calci/FRACTAL | FRACTAL ]]
*[[Manuals/calci/LISSAJOUSCURVE| LISSAJOUSCURVE ]]
*[[Manuals/calci/LISSAJOUS| LISSAJOUS ]]
==References==
*[https://en.wikipedia.org/wiki/Mandelbrot_set Mandelbrot set]
*[[Z_API_Functions | List of Main Z Functions]]
*[[ Z3 | Z3 home ]]
==Description==
*This function shows the figure of the Mandelbrot.
*Fractals are infinitely complex patterns that are self-similar across different scales.
*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.
*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.
==Examples==
==See Also==
*[[Manuals/calci/FRACTAL | FRACTAL ]]
*[[Manuals/calci/LISSAJOUSCURVE| LISSAJOUSCURVE ]]
*[[Manuals/calci/LISSAJOUS| LISSAJOUS ]]
==References==
*[https://en.wikipedia.org/wiki/Mandelbrot_set Mandelbrot set]
*[[Z_API_Functions | List of Main Z Functions]]
*[[ Z3 | Z3 home ]]