;     Date: Thu, 16 Feb 2012 22:13:28 -0500
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 16-02-12 (Leaves of the Ages [9])
;       Id: <1.5.4.16.20120216221518.39078bf6@earthlink.net>
; ---------
; 
; FOTD -- February 16, 2012 (Rating 9)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image rates a mighty 9, and I think it's worth it.  The 
; parent fractal is an almost-Mandelbrot set rotated 180 degrees 
; so that the main spike points east along the positive X-axis 
; instead of west along the negative X-axis.
; 
; I call this parent fractal an 'almost' Mandelbrot set because it 
; has an extra bud beyond its East Valley, (which is on the west 
; side of the main bay), and also a very unusual mini-something 
; where the large minibrot on the main stem would be expected.  
; Beyond this strange 'something' the main spike splits into two 
; branches.
; 
; The parent came about when I subtracted 11 parts of Z^(2.1) from 
; 11 parts of Z^(1.9) before adding straight C on each iteration.  
; It's an unlikely combination that results in a fractal with far 
; more in its depths than would first be expected.
; 
; Today's scene ignores the strange 'something' on the main spike 
; of the parent, which I might examine tomorrow, and dives into 
; the northern branch of the East Valley.  The image is actually a 
; mix of inside and outside stuff, with the inside parts brought 
; to life by the 'bof61' fill.
; 
; The name "Leaves of the Ages" simply popped into my head as I 
; studied the image. I have no idea what the name might refer to, 
; though it does seem poetic enough to be the name of a fractal.
; 
; The calculation time of 3-3/4 minutes is rather slow, but once 
; again the warhorse web sites are ready to trot to the rescue.
; 
; The completed image is posted on the official FOTD web site at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; The high-definition rendering is available at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; The classic 15-year-old web site may be accessed at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; The weather took a turn for the worse here at Fractal Central 
; today, as heavy clouds moved in overnight and light snow began 
; at 9am.  With the temperature around 36F +2C, the snow never 
; amounted to much and changed to rain before noon.  The fractal 
; cats soon forgot an afternoon in the sun and retired for the day 
; to their shelf by the heat.
; 
; The humans, FL and I, had a day with little to remember, which 
; is how it goes when the adventurous days of childhood turn into 
; the routine days of adulthood.  The next FOTD will be posted in 
; 24 hours.  Until then, take care, and when the going gets tough, 
; the tough guys let a woman solve the problem.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Leaves_of_the_Ages { ; time=0:03:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandAutoCritInZ function=ident
  center-mag=+0.0528755229234613/+0.00726740883032/\
  3.48016e+010/1/-2.5/0 params=11/1.9/-11/2.1/0/0/0/0
  float=y maxiter=1000 inside=bof61 periodicity=6
  colors=00004E05F06H07I28J39J5AK6BK8CL9ELBGLCIMEKMF\
  MNHONIQOKSOLUOOWRRYUU_XWa_Zcaaedchgfjmilrknvnpzprz\
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  6Qn69o5Aq5Bq5Cq7Do9EkAFfCGbEHZFIUHJQILMFMICMF9MC6K\
  83I50G20E40C60A708906A04C }

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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