[Fractint] FOTD 12-10-10 (Z Squared Plus C [6])

11 Oct 2010

      FOTD -- October 12, 2010 (Rating 6)

Fractal visionaries and enthusiasts:

Today's tortured image is another aspect of the little Mandel-
brot minibrot that appeared two days ago as the FOTD of October 
10.  That image was unmistakably a Mandelbrot-plane scene, but 
today's image is sliced in the Rectangular direction, which 
leaves little but the same colors to recognize.

I wanted to do something more with the original image.  My first 
impulse was to check the same scene in the Julia direction.  The 
resulting circular hole was not very interesting however.  So I 
tried the Rectangular direction, and look at what happened.

To begin, the calculation time increased nearly 100 times to 45 
minutes, which shows the efficiency of the type=mandel formula 
of Fractint.  The original 2-lobed basin has been twisted and 
stretched to a point where it is almost painful to look at.  The 
central minibrot is stretched into a slit so narrow that it has 
virtually vanished.

I did tweak the colors a bit, though not enough to give myself 
extra points.  The name "Z Squared Plus C" implies that the 
generating formula is the same; only the orientation has been 
changed.  The rating of a 6 seems about right.

The calculation time of 45 minutes will definitely not pass in a 
flash, which is why I recommend viewing the image already 
calculated on the FOTD web site at:

       <http://www.Nahee.com/FOTD/>

Monday began well enough here at Fractal Central, with lots of 
sun and a temperature of 79F 26C, but at 4pm the sky clouded 
over and a minor thundershower moved in, dropping the tempera-
ture to 64F 18C.  The fractal cats took all this in stride, more 
concerned about food than the weather.

My day was about average.  Most likely tomorrow will be the 
same.  The next FOTD will be posted in 24 hours.  Until then, 
take care, and where did we go wrong?

Jim Muth
jamth@mindspring.com

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

Z_Squared_Plus_C   { ; time=0:45:08.14-SF5 on P4-2000
  reset=2004 type=formula formulafile=slices.frm
  formulaname=Rectangular center-mag=+0.000000000001\
  01005/-0.00000000000148829/2.16213e+011/0.04251/\
  -114.506625219024372/-84.326593494906632
  params=-1.779820675627452/3.6884410169988e-011/-1.\
  779820675627452/3.6884410169988e-011 float=y 
  maxiter=40000 inside=255 logmap=-9114 periodicity=6
  mathtolerance=0.05/1
  colors=000QVtQUsPTsOSrORrNQqNPqMOpLMpLLoKKoJJoJInI\
  GnIFmHEmGDlGClFAkE9kE8jD7jD6jC5hC5gB5eB5dB5cA4aA4`\
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  LCAKB9JB9IA8H98G97F86D76C75B65A5495484363253242131\
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  z4Xz4Xz4WzUVzUVzUUzUTzUTzUSzURzURzUQzUPzUPzUOzUNzc\
  NzcMzcLzcLzcKzcJzcIzcIzcHzcGzcGzcFzcEzcEzcDzcCzcCz\
  cBzcAzcAzc9zc8zc8zm7zm6zm6zm5zm4zm4zm3zm2zm2zm1zm0\
  zz8zz7zz7zz7zz7zz7zz7zz6zz6zm6zm6zm6zm6zm6zm5zm5zm\
  5zm5zm5zm5zm4zm4zm4zm4zzz }

frm:Rectangular {; Jim Muth  imag(z),imag(c)
z=flip(real(pixel))+p1,
c=flip(imag(pixel))+p2:
z=sqr(z)+c,
|z| <= 16 }

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