[Fractint] FOTD 20-07-08 (What's It All About [5.5])

20 Jul 2008

      FOTD -- July 20, 2008 (Rating 5.5)

Fractal visionaries and enthusiasts:

Today's image is not so bad for such a hurried one.  But due to 
being out in the Poconos having fun all day Saturday, I have 
little time for the fractal discussion.

Surprisingly, at level 26 of the hyperladder, and with the 
function set to 'floor', the fractal created by the formula 
Z^(1.875)+C closely resembles a Mandelbrot set with X-axis 
symmetry that has been rotated 180 degrees.  The scene of 
today's action is located in a minor valley on the eastern 
shore line of the large southern bud.  (If the parent fractal 
is rotated 180 degrees to the 'normal' position, this is the 
western shore line of the northern bud.)

I was a bit generous when I rated the image at a 5.5.  It really 
has little going for it other than coordinated confusion.  When 
I named it "What's it all About", I was thinking of the 'real' 
'objective' world, which we all assume to be really 'out there'. 
The older I get, the more I doubt that the world is actually 
'out there' rather than 'in here', or more likely a combination 
of both.

The calculation time of 7-1/2 minutes is more than the image is 
worth.  I strongly recommend visiting the FOTD web site at:

       <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

and saving the effort of running the parameter file.  If, due to 
the unusual hour of this posting, the image is not yet posted, 
check back in a few hours or bite the fractal bullet and run the 
parameter file at once.

Typical midsummer weather prevailed at Fractal Central on 
Saturday, and it is prevailing again today.  The fractal cats 
are ignoring it.  The next FOTD will be posted in about 8 hours. 
Until that brief time passes, take care and search for the 
elusive truth.

Jim Muth
jamth@mindspring.com
jimmuth@aol.com

START PARAMETER FILE=======================================

Whats_It_All_About { ; time=0:7:30.00-SF5 on P4-2000
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC3 function=floor passes=1
  center-mag=+0.09083559731196626/-0.751949802458988\
  10/3.635092e+009/1/-165/0 params=1.875/0/26/0
  float=y maxiter=7500 inside=253
  logmap=420 periodicity=10
  colors=000SDfUEgWFhYGi`HjcIkfJliKmlLnoMor0pu4qzBhz\
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  BEzCFzFHzHHzIIzHJIFLzFMzE }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

END PARAMETER FILE=========================================