;     Date: Wed, 15 Jun 2005 12:09:15 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 15-06-05 (The Inner Limits [8])
;       Id: <1.5.4.16.20050615121058.2b3f5e5a@pop.mindspring.com>
; ---------
; 
; FOTD -- June 15, 2005 (Rating 8)
; 
; Fractal visionaries and enthusiasts:
; 
; In today's fractal we take the Z^2.0001+C near-M-set and view 
; it 1000 levels up the hyperspiral, at a point where the large 
; filament extending southwest from the bud centered at -1.31 
; intersects the negative X-axis.  We then zoom into a very tiny 
; midget on the filament, very near the point where it crosses 
; the X-axis.
; 
; The most obvious thing about the image is that its extreme 
; magnitude is causing it to break down.  But in this case, the 
; lack of mathematical precision actually makes the image.  It 
; does so by introducing a unique texture such as certain fine 
; artists might strive for.
; 
; Since we are beyond the limit of the depth it is possible to 
; achieve with this particular fractal, I named the image "The 
; Inner Limits".  And yes, I *was* thinking of an old TV show, 
; one of the interesting kind that is no longer produced.
; 
; Curiously, if it were not for the breakdown, the image would 
; have rated only a 7.  As it is, the unique texture raises the 
; rating to an impressive 8.  The render time of 7 minutes is 
; within reason, and may be eliminated entirely by downloading the 
; completed gif image from the FOTD web site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; I think I'll declare next week a week where I name the FOTD 
; fractals after some of the spam subject lines I receive that 
; week.  This morning I deleted about 25 of them.  Most are pure 
; gibberish, but some, such as 'why didn't you tell me', are truly 
; creative, causing one to ponder 'who didn't I tell something 
; to'.  But if I do this, I'll pick only the most creative subject 
; lines.
; 
; Another hot muggy day Tuesday kept the fractal cats asleep most 
; of the time.  The high temperature of 93F 34C was simply too 
; warm for normal holly-thicket activity.  Luckily, the duo 
; realized this, and were not troubled.  Today is starting much 
; the same.  More of the same is likely from the cats.
; 
; For me the work is still slow, but the fractals are as hot as 
; ever.  Until the next one appears 24 hours from now, take care, 
; and the strange thing about fractals is that they can be both 
; hot and cool at the same time.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE=======================================

The_Inner_Limits { ; time=0:07:07.70--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 mathtolerance=0.05/1
  center-mag=-1.41545766839771800/+0.000001306788129\
  35/3.214947e+012/1/72.4887718120855027/0.011650530\
  4108602131 params=2.0001/0/1000/0 float=y passes=1
  maxiter=1500 inside=0 outside=tdis periodicity=10
  colors=000H9uGBqGCnFEjFFgEHcEI_DKXDLTCNQCKMBKIBKFA\
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  KPqKPnKPkKPiKPfKHItICwI7y }

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=========================================
; 
;