[Fractint] FOTD 14-11-07 (Zexpe at Large [7.5])

14 Nov 2007

      FOTD -- November 14, 2007 (Rating 7.5)

Fractal visionaries and enthusiasts:

Today's image lies in the Z^(EPSILON)+C Mandeloid, sometimes 
known as the Zexpe fractal.  But today, instead of concentrating 
on the ground level, we examine the Zexpe at a height 4 levels 
up the logarithmic ladder, where it is shaped roughly like a 
Mandelbrot set rotated so that its west side is facing south-
east.  Today's scene is located in a tiny valley in a bud on the 
northeast shore of the main bay of this parent fractal.

Only my modesty prevents me from admitting that most of the 
effect of the image is due to my coloring efforts.  The extra 
half-point in the rating of 7-1/2 recognizes this effort.  The 
name "Zexpe at Large" can mean whatever the individual fractal 
viewer wants it to.  The magnitude of the image is 2*(10^13), 
large enough to make the mathtolerance entry necessary in the 
included parameter file.

The calculation time of under 2 minutes on the fast machine 
would stretch to about 7 minutes on the slow unit.  But even 
this small bit of time may be saved by visiting the FOTD web 
site at:

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

and viewing the finished image there.

Tuesday dawned rainy here at Fractal Central, but the rain ended 
by 8:00am, leaving behind heavy clouds and a light fog.  Then, 
just before noon, a breeze sprang up, clearing the clouds and 
fog almost by magic.  The afternoon was sunny and quite mild, 
with a high temperature of 61F 16C.  The fractal cats observed 
all this with passing interest.  The squirrels foraging in the 
back yard were far more interesting to the cats.

My day was fairly busy, though still well under control.  The 
next FOTD will appear in 24 hours, give or take a few.  Until 
then, take care of your fractals, for perhaps they are mere 
delusions that are common to many people.

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

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

Zexpe_at_Large     { ; time=0:01:54.52-SF5 on P4-2000
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC3 function=floor passes=1
  center-mag=+0.77754390860285990/+0.036243793086052\
  48/2.00498e+013/1/-46.7/0 params=2.71828182845905/\
  0/4/0 float=y maxiter=1700 inside=0 logmap=156
  periodicity=10 sound=off mathtolerance=0.05/1
  colors=000ND9Q89T49X6D`8Gc9JgBMkDPnESrGVuHYcf8Y`AS\
  VCNPEHKFCEH68J13KWGDzS6kcBXnGJyLBcV4IcQMVkQNjVMjZM\
  ibLigLhkKhoKhsKilLifMj_MjUNkOOkHOlBPzzzzzzzmzvhzrc\
  zmZviUrbPmWKiPDeI6eDIeEKiFMmFNpFOrFPtFQvFSxDUzBQdA\
  TX8WO7ZG5a84c0CX6KQCSJI_DNYCPXBQWBSVATU9VT9WYDWaGW\
  fJWjNWoQWsTWrX`r`eqciqgnpkspnwfbqYRlPFfG4aHDYHMUGV\
  RITPKRNLPLNOJQMHSKFVIDXHBYIEYIHYJJYJMYKPZKRaJWeJ_h\
  JclJgoIksIovIsyIwsJtmKqhLnbMkXNhSOeMPbHQ_ONWUKT`HP\
  fEMlCJjJQhPWfVadahbgn`mtSmhKmXPh`TddY`haWlfSpjOtcS\
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  kJMgTWdbeal_ZjUWhOUfIUdCUb7U`EUcLUeRUhYUjcUmjUopUq\
  VUaAUMKUHTUDaU8jU4_V6QW8GXA6YBDZDJ_FQ`GWbIabKhcLnc\
  NtcOscQscRscTscUpcQmcMjcJhcFecBbc8_c4Yc1`cBbeLdgUf\
  ichklgmigoggqdgsbdu_`wXYyUUzRRzOOzLKzIHzFDzCAz96z6\
  3z3wzjozdhzZ`zTczVfzXezXdzYdzYczYczZbzZbzZ`zTZzNYz\
  HUzORzVNzaKz_9z9Cz9Gz9Jz9 }

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