[Fractint] FOTD 13-08-12 (A Different Zexpe [7])

13 Aug 2012

      FOTD -- August 13, 2012 (Rating 7)

Fractal visionaries and enthusiasts:

Today's image is another Zexpe minibrot.  I named it 
"A Different Zexpe" because the parent fractal is one of the 
infinity of alternate Zexpe fractals, this one from 1.5 levels 
up the hyperladder with the recip function applied.

Today's Zexpe parent is rotated so that the upper half, which is 
pretty much intact, faces northeast.  The lower half faces 
southwest, but it is so distorted by discontinuities that the 
parts are barely recognizable.  Today's scene lies in the East 
Valley of a much less distorted minibrot lying some distance 
southwest of the main body of the parent.

The rating of a 7 is average.  The series of Zexpe fractals 
continues bringing adequate but unexceptional images.  The 
calculation time of 40 seconds will make impatience very 
unlikely however.

All risk of impatience may be avoided by viewing the finished 
image on the official FOTD web site at:

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

though no guarantee is given of feeling fractal awe and wonder.

A high-definition rendering is available at:

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

The FOTD back images are available at:

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

Partly cloudy skies and a temperature of 82F 28C made today a 
near normal one for mid-August here at Fractal Central.  The 
fractal cats' big thrill came when a stray cat we call 'Mister 
Cool' wandered by.  Our dynamic duo watched him from their 
window with their tails thrashing, sending him on his way.

The humans had a typical day, with no thrashing tails involved.  
The next FOTD will be posted when an appropriate amount of time 
has passed.  Until whenever, take care, and one second of time 
is 186,000 miles of the fourth dimension of space perceived from 
a different angle and measured in a different way.

Jim Muth
jimmuth@earthlink.net

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

A_Different_Zexpe  { ; time=0:00:40.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=recip float=y
  center-mag=-1.236449781061332/-0.2384755846638699/\
  8.1e+010/1/-75/0 params=2.71828182845905/0/1.5/0
  maxiter=1800 inside=0 logmap=122 periodicity=6
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  zz7zz7zz6zz6zz5zz5zz4zz4zz3zz3zz2zz2zz1zz1zz0zz0zz\
  0zz0zz0zz0zz0zz0zz0zz0zz0 }

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=========================================