;     Date: Sun, 18 Sep 2011 19:14:28 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 18-09-11 (Mired in the Mud [6])
;       Id: <1.5.4.16.20110918191432.154779a0@pop.earthlink.net>
; ---------
; 
; FOTD -- September 18, 2011 (Rating 6)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image is a scene unusually deep in the parent fractal 
; that results when 0.5 negative parts of Z^(-3) are combined with 
; 0.5 negative parts of Z^(+3) on every iteration before straight 
; 'C' is added.  The magnitude of over 2*(10^14) is about as far 
; as is possible to go without resorting to arbitrary precision 
; math.
; 
; The parent fractal appears to be a Mandelbrot set rotated 180 
; degrees and almost totally filled in.  Except for a scattering 
; of tiny cracks, only four open areas remain -- a reasonably 
; normal Mandelbrot set where the large period-2 bud would lie, 
; two twisted M-sets where the two period-3 buds would lie, and 
; where the East Valley area would lie, a Mandelbrot set that 
; appears to have grown an extra large period-2 bud.  Today's 
; scene lies deep in the valley that sets off this extra large bud.
; 
; To me, the image resembles nothing as much as a puddle of 
; bubbling mud with a minibrot floating in the center.  The 
; breakdown of math resolution is visible at the sharp-edged band 
; edges, though it is not quite enough to spoil the scene.
; 
; I named the image "Mired in the Mud".  The overall coloring 
; resembles the gray-green colors of the ground in the areas that 
; were flooded here at Fractal Central.  It's surely not a very 
; attractive color scheme, but I must draw it as I see it.
; 
; Such unpleasant colors hold the rating to a 6, which is actually 
; below FOTD average.  But they say we must take the bad with the 
; good, so why not take the 22 minutes required to run the 
; parameter file.  On the fastest SOTA machines the image will 
; probably finish in much less time.
; 
; Check the finished image on the official FOTD web site at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; without the need to calculate it.
; 
; The image is available in high definition 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/>
; 
; Today came on with lots of sun here at Fractal Central, and 
; except for a few puffy white decorator clouds, the sun reigned 
; supreme all day.  The temperature of 70F 21C could hardly be 
; improved upon.  The humans had an uneventful day, which is as 
; much as can be hoped for.  The next FOTD, likely an improvement 
; over today's, will be posted in 24 hours.  Until then, take 
; care, and could we now be witnessing the start of the decline 
; and fall of the American Empire?
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Mired_in_the_Mud { ; time=0:22:22.51-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident float=y
  center-mag=+0.00000008953753835/+0.065245723747392\
  53/2.363e+014/1/-71/0 params=-0.5/-3/-0.5/3/0/0/0/0
  maxiter=25000 periodicity=6 mathtolerance=0.05/1
  colors=000000V0VP0QK0LF0FA0A505KBDJACIABH9BG9AF8AF\
  89E79D78C68B67A57A56955845744634533523422312211101\
  000LSBHN9EI7AE5793341WTMURKeaQeaPdaNd`Ld`Kd_Ic_GcZ\
  FcZDcZCbYEbXGbWHbVJbUKbTMbSNaRPaQRaPSaOUaNVaMXaLYY\
  P_VTaSXcP_eMcgJgiGjkDnmAmo7ppFhlMeiUYf`VcgY`c`b`cc\
  YbeV`fS_hOYiLWkIVlFTnCSoDTmEUlFUkGVjHViIWhJWgKXfLX\
  eMYdNYcOZbPZaeOJvD1sC2pC2mC2jB3gB3dB3aA4ZA4WA4T95Q\
  95N95K86H86E86C86GB9JDBNFEQIGUKJXML`POcRQgTTjWVnYY\
  q__n`YkaWibVfcTddSaeQZfOXgNUhLSiKPjIMkGKlFHmDFnCCo\
  A9p87q74r52r48Zf9YdAXbBWaBV_CUYDTXDTVESTFRSFQQGPPH\
  ONHOLINKJMIJLGKKFLJDLJCJHBHFAFE9EC8CB7A96610875764\
  543332111TMHNHDHDAB86543gCjdBgbAe`AbY9`W8YU8WR7TP6\
  RN6OK5MI5JG4HD3EB3C929617414202TrAJ_69I37c46Z35U34\
  P23K22F11A1050mWpiTleRhbPdZM`WKYSIUPGQLDMHBIE9FA6B\
  747323vNirLfoKdlJaiI_fGXcFV`ETYDQVCORALO9JL8GI7EF6\
  CC49937624312t1un0oi0jd0e }

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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