Re: Mapping periodicity of Mandelbrot

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Article #456

#456

From: Jay R. Hill
Date: Fri, 09 Apr 1993 16:49

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In article <C56nn8.Gwn@raistlin.udev.cdc.com>, molson@bml4380.cpg.cdc.com (Mark Olson) writes:
|> 
...
|>     I have produced an image of the Mandelbrot set that
|> also includes pixel values computed from the number
|> of interations required before the point enters a periodic
|> orbit.  

Since the orbit enters its periodic state (usually) asymtotically,
how can you tell when it gets there. It depends to how precisly
you want it to be repeating itsself.
|>   
...
|> 
|> Mark Olson

Jay Hill
-- 
{ hilljr@jupiter.saic.com } begin writeln(3*ln(640320)/sqrt(163):17:15) end.
void main(){double sqrt(), y=1/sqrt(2.), a=.5, m=1,z; int n=0;
for(;m*=2,z=sqrt(1-y*y),y=(1-z)/(1+z),a=a*(1+y)*(1+y)-m*y,n<3;n++);
printf("%17.15lf\n",1/a);}

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References: <C56nn8.Gwn@raistlin.udev.cdc.com>

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From: hilljr@jupiter.saic.com (Jay R. Hill)
Subject: Re: Mapping periodicity of Mandelbrot
Message-ID: <1993Apr9.164952.9758@ast.saic.com>
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References:  <C56nn8.Gwn@raistlin.udev.cdc.com>
Date: Fri, 9 Apr 1993 16:49:52 GMT

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