;     Date: Sat, 09 Jul 2005 09:31:04 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 09-07-05 (A Purrfect Fractal [6])
;       Id: <1.5.4.16.20050709093300.0d479a08@pop.mindspring.com>
; ---------
; 
; FOTD -- July 09, 2005 (Rating 6)
; 
; Fractal visionaries and enthusiasts:
; 
; To produce today's image, I took yesterday's parent fractal and 
; raised Z^1 to Z^1.01.  The minute change completely altered the 
; appearance of the fractal, changing it from a hyperbola to a 
; distorted M-set.  I commented about the change to Thomas, one of 
; the fractal cats who was lying nearby.  When he looked up and 
; started purring, I had the name for today's image.  I named it 
; "A Purrfect Fractal".
; 
; Though I had the name, I had not yet found the fractal.  But a 
; quick search along an interesting stretch of shoreline found a 
; string of vaguely elephant-shaped things, and today's image 
; turned up in one of the almost-trunks.
; 
; I rendered the scene with the outside set to 'summ'.  The effect 
; is rather pleasing, though nothing to brag about.  I could rate 
; the image no higher than a 6, which is still a bit above average.
; 
; Perhaps the greatest drawback is the images's slowness.  Forty 
; minutes is really a bit too much time to spend on such a routine 
; image.  But as always, the FOTD web site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; comes to the rescue.  The already-rendered GIF image will soon 
; be posted there, ready to be downloaded in less than a minute.
; 
; The rain slacked off during the afternoon here at Fractal 
; Central on Friday, but the ground was so wet that the fractal 
; cats decided to remain on the porch.  After voicing his opinion 
; about the fractal, Thomas was quite satisfied.  Tippy wondered 
; what the fuss was about.  Today is starting peaceful enough, 
; with some sun and acceptable temperatures.  It should be a good 
; day for the cat duo.  For me it looks like the day will be 
; average.  The next FOTD will probably appear in 24 hours.  If 
; not, it will appear in 48 hours.  Until then, take care, and 
; how can there be an end to anything if spacetime is eternal?
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE=======================================

A_Purrfect_Fractal { ; time=0:40:11.67--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-1.20780413477277200/+12.05833924073030\
  000/147219.1/1/87.5/-4.84131272571186599e-009
  params=-1/1.01/1/-1/0/525 float=y maxiter=15000
  inside=0 outside=summ periodicity=10
  colors=000TLmVJlXIk_GiaFhcEgeCfhBdj9cl8bn7aoCdoHfp\
  MipQkqVnq_pqcrpbkobenbZmbTlaNkaGjaAja4AJpBOqCTqDYq\
  EbrEfrFkrGpsHusHysKvlNseQpZSmSVjLYgE_d7`b8`a9`_A`Z\
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  KMNKMLKMJLMHLMFLMDLMFMPHMRJNTLNWNOYPO_RObTPdVPfXQi\
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  gk_dfXaaUYXSVSPSNMPIJMDHLFGLGFKHEKIEKJDJKCJLBIMBIN\
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  F7YeVRfff5tZIsRVrnWFhfQWgdWM9SUPO`czlgkjkYhoVCoRNp\
  NYqUapSVzQZxOavMdt4`ATh8IYKJaWKdggLFr`b1a_8cfEelel\
  Q2sl_4eUIjPVnMNpNOpOOpRMn }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

; END PARAMETER FILE=========================================
; 
;