;     Date: Thu, 14 Jun 2012 09:21:59 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 13-06-12 (Brother of Shadows [7.5])
;       Id: <1.5.4.16.20120614092442.2b7f51f6@earthlink.net>
; ---------
; 
; FOTD -- June 13, 2012 (Rating 7.5)
; 
; Fractal visionaries and enthusiasts:
; 
; Those who checked the parent fractal of yesterday's image, which 
; I said resembles 'pac-man', might have been surprised when they 
; found an everyday Mandelbrot set instead.  But do not despair.  
; The pac-man figure really exists.  It is the large minibrot on 
; the main stem of the full Mandelbrot-set parent.
; 
; As for today's image, it is another scene in a Mandelbrot set 
; corrupted in its depths by Z^(3.5) energies, though in today's 
; case the corruption is deeper and better hidden.
; 
; The scene of today's action is very deep in the East Valley of 
; the parent fractal, at a magnitude of over 6*(10^13).  At this 
; magnitude we are at the absolute extremity of resolution, and 
; the first traces of breakdown are already beginning to appear 
; along the band edges, which makes the mathtolerance entry in the 
; parameter file necessary.
; 
; The elements surrounding the central minibrot, which is of order 
; 3.5, are arranged in a doubling 3.5...7...14... series, though 
; except for the very prominent 7 spirals, the orderliness is 
; quite subtle.
; 
; The necessary discontinuities are also unusually subtle, since 
; they are mixed with Z^2 energies.  The only obvious one is in 
; the upper right quadrant of the image.
; 
; The name "Brother of Shadows" sounds more important than it is.  
; The words popped into my head when I shut off my thinking.  The 
; calculation time of 3-1/2 minutes could lead to some impatience, 
; so if impatience rears its head, check the FOTD web sites.
; 
; The finished image is available at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; A high-definition rendering is at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; The back images are posted at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; Yesterday's rain moved out overnight here at Fractal Central, 
; leading to a sunny and breezy day with a temperature of 72F 22C 
; and a kodachrome blue sky decorated with cotton-puff clouds.  
; The fractal cats, who approved of the conditions, came out of 
; hot-weather stretch-out mode and entered cold-weather curl-up 
; mode.
; 
; The humans, who are always in the same mode regardless of the 
; temperature, made it through the day uneventfully.  The next 
; FOTD will be posted in a measurable time.  Until then, take 
; care, and to make a real change, try something different.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Brother_of_Shadows { ; time=0:03:30.00 SF5 at 2000MHZ
  reset=2004 type=formula  formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip logmap=375
  center-mag=+0.2732104661940538/-0.0057831395457811\
  /6.84471e+013/1/-64.5/0 params=3.5/3500/0/0 float=y
  maxiter=1800 inside=0 mathtolerance=0.05/1
  colors=000Q0CP0BO0BN0AM09L08K07J06I06I05K14M23O32Q\
  42S65U87WA9YCB_EDaGFcIHeKJgLLiMNkNPlORmPTnQVoRXpSZ\
  qT`rUbsVdtWfuXhvYjwZlx_nvaotcoseoqgopionkommokoojq\
  ohsoguoewodxoevmftlfrkgqjhoihmhilfijejhdkgckeblcal\
  b`jb_hb_gbZebZdbYbbYabX_bXZbWXbWWbVUbVSbURbUPbTObT\
  MbSLbSJbRIbRGbQFbQDbPCbPB`QB_QBZRBYRBXSAWSAVTAUTAT\
  TASU9RU9QV9OV9NW9MW8LX8KX8JX8IY8HY7GZ7FZ7E_7D_7C_A\
  BZCBYEBXGBWJBVLBUNBTPBSSARUAQWAPYAO`ANbAMdALfAKeBL\
  eCMeDNeEOeFPeGQeHReISeJTeKUeLVdMVdNWdOXdPYdQZdR_dS\
  `dTadUbdVcdWddWdbXbaY``ZZ_ZYZ_WY`UW`SVaRUbPTbNScLR\
  dKPdIOeGNfEMfDLhBKm9Jr8IvAIzCHzDHvFGrGGmIFmKFmLEmN\
  EmODmQDmSCmTCmVBmWBmYAh_Ah`9hb9hc8de8dg7ch7bj6ak6`\
  m6_n7Zl8Yj9Xh9WfAVdBVcBUaCV_DWYDcWEc_FccFchGhmHhrH\
  hvImzJmzJmzKrzLrzLrzKvvJvrMvmPzhUzcZzZczUhzPmzKrzL\
  vzMzzNzzOzzPzzQzzRzzSzzTzzUzzVzzUzzUzzUzzTzzTzzTzz\
  TzzSzzSzzSzzSzzRzzRzzRzzQ }

frm:FinDivBrot-2   { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }

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