;     Date: Sat, 29 May 2004 09:45:27 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 29-05-04 (Fractal Study-Two [7])
;       Id: <1.5.4.16.20040529094915.0d6f2e2e@pop.mindspring.com>
; ---------
; 
; FOTD -- May 29, 2004 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; It seems as though every time I ponder the question, 'What is 
; the world made of?' the answer is different.  In my lifetime I 
; have seen it made of atoms, sub-atomic particles, probability 
; waves, energy, quarks, multi-dimensional strings and membranes, 
; holograms, information, thought, and even nothing.  Of course, 
; all of these things are inventions, the result of trying to 
; reduce something beyond our understanding to the level of 
; everyday experience, and they are all a little right but mostly 
; wrong.  We could keep inventing the basic stuff of existence for 
; a million years, and we would never find an answer that totally 
; works.  The universe is actually a fractal, and fractals are 
; made of numbers.  (BTW, I cannot prove this.)
; 
; The universe is made of numbers.  As for the constitution of 
; numbers, well, they are most likely made of God, or whatever 
; non-offensive word Atheists choose to use.  And as to the 
; nature of God . . . I refuse to speculate.
; 
; There are an infinity of numbers however, and this leads to the 
; question of which of the infinity of numbers are the basic 
; building blocks.  My guess is that the whole numbers, positive 
; and negative, are the building blocks, with the positive number 
; 'one' being by far the most common.  Of course, I could always 
; be wrong.  ;-)
; 
; Today's image pictures a midget in the Z^((sqrt(2))+0.03i)+C 
; Mandeloid.  I rarely use complex exponents in my fractal 
; explorations, but decided to try it today anyway.  Adding just 
; 0.03 part of 'i' went a long way, totally changing the shape of 
; the parent fractal.  I'll have to do this more often.
; 
; I named the image "Fractal Study-Two", though I could just as 
; easily have named it "Kilroy Was Here".  The central midget is 
; shaped suspiciously like that character with the oversized nose 
; who was seen peeping over every fence during the time of the 
; Second World War.
; 
; Yesterday's image took almost 4 hours to render, and even then 
; rated only a 5.  Today's image renders in only 2 minutes, and 
; rates a 7.  This gives it an overall value of 326, a vast 
; improvement over yesterday's rating of a miserable 2.
; 
; Regardless of ratings or render time, the FOTD images are always 
; available for download from the FOTD web site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; A partly cloudy day here at Fractal Central on Friday, with a 
; temperature of 79F 26C, gave the fractal cats several pleasant 
; hours in the yard.  When the day ended, they came indoors 
; without complaint.  Today is starting sunny and cooler.  These 
; are conditions that promise the best for the dynamic duo.
; 
; I must clear away more of the backed-up work before I start 
; thinking again of fractals, and the time to start is now.  Until 
; next time, take care, and fractals are neither real nor unreal.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE================================

Fractal_Study-Two { ; time=0:02:09.02--SF5 on a P200
  reset=2003 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 passes=1
  center-mag=+0.47098430823224210/+2.838089870359976\
  00/2135.219/1/-65/-3.95622423710051407e-012
  params=1.414213562373/0.03/-1/0 float=y
  maxiter=1800 inside=0 logmap=50 periodicity=10
  colors=000B0NB0OB0RB0VB0YB0aB0bB0fB0iB0lB0pA0qE0lI\
  0iM0fQ2bV8_`DXfITlLQrQNyVJzaGzgDzm9zr6zv2zdBzTIzGQ\
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  i4xi6wi8tiBqiDpiEliGkiIgiJfiLbiNaiO_iQYiOXiOViNTiN\
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  LzzJzzIzzEzzDzzBzz8zz6zz4zzDzzLzzTzzazzizzpzzgzzaz\
  zVzzNzzGzz9zz1zz0zz0zz0zz0zz0zz1zz8zzEzzLzzRzzYzzd\
  zzkzzqzzxzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzxzzwzztzz8zz9zzDzzGzzJ }

frm:MandelbrotBC2   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*floor(p/(2*PI))
  r=real(p2)-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==================================
; 
;