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Programming > Fractals > Re: Location of...
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Re: Location of the atoms of the Mandelbrot set

by "Henning Kühn" <atomsiggi@[EMAIL PROTECTED] > Jan 24, 2007 at 10:28 PM

>I am looking for an explanation for the location of the atoms which are
> attached to the boundary of the cardioid of the Mandelbrot set.
>
> For any rational numbers phi=n/m (with n,m natural numbers) an atom with

> an attractive orbit of the period m is attached to the main cardioid at 
> the point c=exp(i*phi)/2-exp(i*2*phi)/4. But how can we derive this
fact?

I mean phi=2*Pi*n/m of course.




 2 Posts in Topic:
Location of the atoms of the Mandelbrot set
"Henning Kühn"   2007-01-23 22:56:43 
Re: Location of the atoms of the Mandelbrot set
"Henning Kühn"   2007-01-24 22:28:35 

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