[Fractint] FOTD 29-07-12 (Exponent Challenge [8])

31 Jul 2012

      FOTD -- July 29, 2012 (Rating 8)

Fractal visionaries and enthusiasts:

Today's image is a scene deep in the East Valley of the first 
large minibrot out the main spike of its parent fractal.  This 
parent is an oversized Mandelbrot set with Z^(21) corruption in 
its depths.  It is the same parent fractal that held yesterday's 
scene.

The name "Exponent Challenge" came about when I noticed the 
apparent battle in the image between the Z^2 and Z^(21) energies.

The rating of an 8 might be a bit liberal, but in my opinion the 
combination of lively colors and mathematical interest justifies 
the rating.

The calculation time of 2-3/4 minutes will pass swiftly once the 
rough image appears on the screen.

The finished image is available at:

      <http://www.crosscanpuzzles.com/Archives.html>

making all calculation un-necessary.

A high-definition rendering is at:

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

The FOTD back images are online at:

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

Today proved absolutely delightful here at Fractal Central, with 
a high temperature of 86F 30C and a postcard sky that would have 
been more at home in the Caribbean.  Never having been more than 
one foot from home, (except when seeing the doctor), the fractal 
cats took things in stride and passed most of the day sleeping 
and eating.  The humans passed the afternoon on a short 
antiquing expedition.

The next FOTD will be posted very soon, whatever this might 
mean.  Until whenever, take care, and many people believe that 
ghosts are not real.  But no one knows it.  As for myself, I am 
a skeptical true believer.

Jim Muth
jimmuth@earthlink.net

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

Exponent_Challenge { ; time=0:02:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MultiExp function=recip
  center-mag=-162.43185266893/-0.0015639397625593/\
  1296414/1/-67.5/0 params=21/100 float=y
  maxiter=1800 inside=0 logmap=192 periodicity=6
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  zzdzz`zzXzzSzzOzzKzzFzzBzz7zzzzznzzbzzRzzFzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:MultiExp   { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
b=imag(p1)+0.00000000000000000001:
z=z*z*fn1(z^(a)+b)+c
|z| < 100000000 }

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