;     Date: Fri, 03 Aug 2012 23:06:12 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 03-08-12 (Dabbling in Fractals [?])
;       Id: <1.5.4.16.20120803230932.2c670506@earthlink.net>
; ---------
; 
; FOTD -- August 03, 2012 (Rating ?)
; 
; Fractal visionaries and enthusiasts:
; 
; There were no FOTD's for August 1 or 2.  The reason is that 
; things were too busy here at FC.  Today is a different story 
; however.
; 
; Today's image takes us back to the MandNewt series of formulas, 
; which combine the features of Mandelbrot and Newton's method 
; fractals.
; 
; To try something different, I chose to investigate the 
; MandNewt07 formula.  It's an old formula, probably over 10 years 
; old, and I have long since forgotten what it was intended to do, 
; but as today's fractal shows, it is still capable of producing 
; some interesting images.
; 
; The unlikely values of the parameters shows that they were 
; determined accidentally by the Fractint 'evolver' feature.  
; Sometimes, especially when the original purpose of the formula 
; is forgotten, trusting to blind luck to set the parameter values 
; results in the finest images.
; 
; Most of the background of today's image is inside stuff brought 
; to life by the 'bof60' feature.  The name "Dabbling in Fractals" 
; describes how I spend perhaps too much time.  The rating of a 
; question mark leaves it up to the individual viewer to decide 
; the image's worth.
; 
; The calculation time of 3 minutes borders on slowness, but here 
; is where the web sites charge to the rescue.
; 
; The finished image is posted at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; A high-definition rendering is posted at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; The FOTD back images are at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; Very typical midsummer weather prevailed here at Fractal Central 
; today, with a mix of sun and clouds, high humidity, and a 
; temperature of 90F 32C.  The fractal cats spent the afternoon 
; lounging in their cat cube complex, while the humans made it 
; through the day uneventfully.  The next FOTD will probably be 
; posted in 24 hours, but do not be surprised if is late.  Until 
; whenever, take care, and what ever happened to the ship with a 
; cargo of yoyos that sailed into the Bermuda Triangle and sank 27 
; times?
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

DabblingInFractals { ; time=0:03:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=mandnewt.frm
  formulaname=MandNewt07 passes=1
  center-mag=-36.0987/17.4552/0.1432514/1/124.999/0
  params=-4.7737/-0.2798/-4.0249/0.5538/1.9384/0.164
  float=y maxiter=300 inside=bof60 periodicity=6
  colors=000101300903F06L09R0CW1F`3Ie6Li7OlAPnCQpFXr\
  I_zJazPczVdz`fzfgzkgzpizrjzzlzzmzzmzzjzzfzzczz_zzX\
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  zy0zy0zz0zz0zz9zxOzrazp_zmYzlXzjVziTziSzgQzfPzfOzd\
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  zajzXgzSdzOczJ`zDYz9Xz4Tz0Sz1Pz3Mz4Jz4Gz6Dz7Az77zC\
  CzGGzJJzOOzQQzVVzYYzaazddziizllzppzsszxxzzzzzwzzsz\
  zpzzlzzizzdzzazz_zzVzzSzzPzzLzzIzzFzvLzoQziXzX`zLd\
  zu`zzdzzizx`zmSzdLzVCzM4z }

frm:MandNewt07 {; Jim Muth
z=c=(pixel*p1):
a=z^3+(c-p2)*z-c
b=3*z^2+c-1
z=z-p3*a/b
0.000000000000000000000000000001 <= |a| }

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