;     Date: Thu, 22 Dec 2011 15:06:50 -0500
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 22-12-11 (Kitty Paw Prints [7])
;       Id: <1.5.4.16.20111222150838.2bff77f4@earthlink.net>
; ---------
; 
; FOTD -- December 22, 2011 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; When I saw today's image, my first thought was that the fractal 
; cats had walked across the screen.  But no, it was not the cats. 
; The cat footprints are created by numbers, exactly as fractals, 
; and perhaps the universe itself, are created by numbers.
; 
; In today's case the numbers are 0.45 part of Z^(2) and a tiny 
; trace of Z^(-33), which are combined on each iteration before 
; straight (C) is added.  This unlikely combination produces a 
; somewhat oversized parent fractal with the outer shape of a 
; Mandelbrot set, but the Mandelbrot outline is filled with 
; patterns of overlapping flat disks of various sizes and shapes 
; left over from the trace of Z^(-33).  Today's scene is located 
; in what would be the Scepter Valley of the oversized Mandelbrot 
; outline, though nothing at all of typical scepter elements are 
; visible in the frame.
; 
; What we have instead is a pattern that might have been created 
; by a cat with dirty feet walking across a fractal print before 
; it dried, which explains the name "Kitty Paw Prints".  (It must 
; have been a low-class alley cat.  The fractal cats would never 
; spoil a fractal.)
; 
; The rating of 7 might have been higher if it had not been for 
; the overall muddy appearance of the image.  But what the heck.  
; One person's mud is another person's art media.
; 
; The calculation time of 30 seconds will simply fly by even for 
; those who do not appreciate the finer aspects of mud.
; 
; Avoid the mess by viewing the finished image on the official 
; FOTD web site at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; Then enjoy its finer details at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; The original FOTD web site may be accessed at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; The steady rain moved out but the clouds continued here at 
; Fractal Central today.  The un-winterishly mild temperature of 
; 54F 12C kept the day from being a loss -- it made up for the 
; clouds with the heating fuel money we saved.  The fractal cats 
; spent the day just being cats, doing what they wanted to do, not 
; what the humans wanted them to do, while the humans spent the 
; day trying to have a merry pre-Christmas season, which is much 
; harder to actually do than to talk about.
; 
; The next FOTD will be posted in 24 hours.  Until then, take 
; care, and if we are truly immortal, as the religious believers 
; claim, what could we possibly do to prevent the hell of eternal 
; boredom?  Fractals might keep a soul occupied for a googol years 
; or so, but what would the soul do during the googolplexes of 
; years that would follow?
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Kitty_Paw_Prints { ; time=0:00:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident float=y
  center-mag=-3.146441121546/+0.037162206686/5.37e+7\
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  aWz`XzZXzYYzXZzVZzU_zTzzz }

frm:MandAutoCritInZ {; 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)+(p4)),
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=========================================
; 
; 
; 
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