;     Date: Wed, 04 Sep 2013 18:37:39 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 04-09-13 (Trouble in Sight [A-7,M-8])
;       Id: <1.5.4.16.20130904183844.297772cc@earthlink.net>
; ---------
; 
; FOTD -- September 04, 2013 (Rating A-7,M-8)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image was created with the MandelbrotMix3a formula, 
; which mixes together various portions of four different powers 
; of Z.  In today's image, one negative part of (1/Z) is combined 
; with straight (Z), then mixed with one part of Z^(-1.6) and one 
; negative part of Z^(-1.4) before (1/C) is added on each 
; iteration.  The 0.2858095886402 value of the real(p5) parameter 
; is the critical point of the iterated expression, which I 
; determined using the tedious graphic method.
; 
; The parent fractal is little more than a nest of zigzagging 
; filaments with small Mandelbrot sets scattered about.  Today's 
; scene is located in a knot of filamentary debris near one of 
; the small M-sets.
; 
; In today's image the math value of 8 exceeds the artistic worth 
; of 7.  This unusual situation is due mostly to the unusually 
; large number of different exponents of Z involved in the 
; calculation.
; 
; I use today's formula so rarely for two reasons.  First, the 
; images tend to become boringly similar as the number of 
; exponents of Z grows.  Second, it is too tiresome to work out 
; a critical point by calculation or graphically.
; 
; The name "Trouble in Sight" refers to the effort of finding a 
; critical point and the marginally satisfactory result when I did.
; 
; The calculation time of 2-1/4 minutes borders on slowness.  The 
; slowness may be eliminated however by checking the web sites.
; 
; Finished images may be viewed at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
;        <http://www.Nahee.com/FOTD/>
; 
;   <http://user.xmission.com/~legalize/fractals/fotd/about.html>
; 
; A perfect day passed uneventfully here at Fractal Central.  The 
; fractal cat said the temperature of 79F 26C was perfect.  The 
; fractal humans said the low humidity was perfect, while the 
; photoshop blue skies and cottonball clouds kept everyone else 
; and every other animal in town happy.
; 
; The next FOTD will be posted right here when I work up the 
; energy to do it.  Until the energy strikes, take care, and no 
; one can be a true liberal unless they hate guns and are worried 
; about climate change and equality.  Too bad!  Since guns are 
; here to stay and the climate will continue changing and all 
; people will never be equal, I guess liberals are doomed to a 
; life of endless frustration.
; 
; 
; Jim (am I left or right) Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Trouble_in_Sight { ; time=0:02:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotMix3a function=recip passes=1
  center-mag=+3.26650108165485/-0.05084635835292/\
  1.326488e+008/1/-112.5/0 params=-1/-1/1/1/1/-1.6/\
  -1/-1.4/0.2858095886402/0 float=y maxiter=800
  inside=0 logmap=103 periodicity=6
  colors=000zzzzyzyxzxwzwvzvuzutztszsqzrozpmznkzlizj\
  hzhgz`fuTfoMfkEee7d`0cV0aP0_J0ZG0YC0UA0P80K60E4072\
  250750C00H50K80N50P20R00T00V00X00Z00_00Z00X00V00T0\
  0R00P00P00O00N20M80LE0KJ0KP0KV0K`0Pe0Uk0Zq0cu0hz0m\
  z0rz0wz0zz0xz0uz0qz0my2ix4ew4av6Yu8Tu8NuAJuCGuCCuE\
  8uG4uG0uH0uJ0uJ0uL0uL0uN6uNGsPPqPZmRggRqbTzXTzRVzN\
  VzRXzVXzXXz`XzbXzeXxgXukXsmXoqXmsXivXgxXdzXbzXZzXX\
  zXTzXRzXTzZTz`VzbVzdXzeXzgZziZxk`vm`uobsqbqsdoudmv\
  ekxeizegzgdugboiZkiXekT`kRXmNRmLNoHHoGCqC8qA2s60s4\
  0u00u00vE0vREvdRvqevzuvzzqzzmzvizqezkbzeZz`VzVRzPN\
  zJJzEGz8Cz28z04z00z00z06z0EzHLz`TzqVxoVxoXxmXxmZxm\
  Zxk`xk`xk`xibxibxgdxgdxgexeexeexegudgqdgobikbig`ie\
  `ib`kZZkXZkTXkRXmNVmJVmHVmEToATozRozRozRmzVkzXkzZi\
  z`gzdgzeezgezidzmbzobzqdzsgzvkzxozzszzvzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:MandelbrotMix3a {; Jim Muth
z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1),
d=real(p2), f=imag(p2), g=real(p3), h=imag(p3),
j=real(p4), k=imag(p4), l=imag(p5)+100:
z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c,
|z| <=l }

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