;     Date: Fri, 28 May 2004 09:24:23 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 28-05-04 (A Fractal Study [5])
;       Id: <1.5.4.16.20040528092810.0dcf3d4a@pop.mindspring.com>
; ---------
; 
; FOTD -- May 28, 2004 (Rating 5)
; 
; Fractal visionaries and enthusiasts:
; 
; The combination of an unusually heavy work load and a balky 
; computer has once again put me behind in my work, so today's 
; discussion will again be brief.
; 
; For today's fractal I decided to move in close-up to study a 
; midget of the order 1.5.  The parent fractal is an unimpressive 
; thing that appears to spiral around the origin, with a prominent 
; discontinuity along the positive real axis.  The shoreline of 
; this parent is lined with irregular buds.  Today's scene is 
; located on the inside of the northern branch of the valley of a 
; small bud on the eastern edge of the parent.
; 
; To be sure I captured all of the midget, I raised the maxiter to 
; 500,000.  Even with such an extreme maxiter, it still appears 
; that the midget is not quite fully defined, but with a render 
; time approaching 4 hours, the present maxiter will have to 
; suffice.
; 
; The midget itself is typical of midgets in this range, showing 
; little tendency to develop the semi-chaotic patterns around it 
; that make quadratic midgets so attractive.  In fact, there is 
; almost a feeling of 'anything can happen' about the scene.
; 
; An orbit check shows that the entire scene has a periodicity of 
; 3, with but minor variations in the different areas of the 
; midget.  I have not checked the Julia aspect of today's scene, 
; though it is certainly equally disorganized.
; 
; I named the picture "A Fractal Study" because that's what it is. 
; Actually, I studied the image very little.  I simply started it 
; going and let it calculate for four hours while I worked on the 
; balky machine.  The rating of a 5 could be a gift or a robbery, 
; depending on one's view.  The extreme render time drags down the 
; overall value to an abysmal 2.
; 
; But all is not lost, for I have sent the finished GIF image on 
; ahead to Paul, and it will soon be posted on the FOTD web site 
; at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; ready for immediate download.
; 
; Both Wednesday and Thursday were quite warm here at Fractal 
; Central, with brief showers both evenings.  On both days the 
; fractal cats managed to hold off the hordes of cicadas long 
; enough for a few restful hours in the shade of the holly trees.  
; Today is starting partly cloudy and slightly cooler.  The cats 
; have not yet decided what kind of day they will have.
; 
; If I catch up in the work, today could be restful for me, but 
; that will take quite a bit of effort.  Until next FOTD, take 
; care, and despite all appearances to the contrary, we could all 
; be part of a big hologram.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE================================

A_Fractal_Study { ; time=3:43:15.29--SF5 on a P200
  reset=2003 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 passes=t
  center-mag=+1.32928740683383100/+0.164093949176507\
  60/76478.92 params=1.5/0/0/0 float=y maxiter=500000
  inside=0 logmap=1040 periodicity=10
  colors=000WOVa`Ub`Uc_UdZTeZTfYTfZSgYTgXUgWVhVWhUXh\
  TYiSZiS_iR`jQajPbjOckNdkMekLflLglKhlJimIjmHkmGlnFm\
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  jzzlzzmzznzzozzpzzqzzrzzszztzzuzzvzzwzzxzzyzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

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