;     Date: Wed, 17 Oct 2012 18:04:10 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 17-10-12 (Spokes and Spirals [7.5])
;       Id: <1.5.4.16.20121017180829.38cf6516@earthlink.net>
; ---------
; 
; FOTD -- October 17, 2012 (Rating 7.5)
; 
; Fractal visionaries and enthusiasts:
; 
; The parent fractal of today's image is one of the most unpromis-
; ing of all time -- little more than a large open circle with 
; degenerate buds along its circumference.  But the east side of 
; this circle holds hints of Mandelbrot stuff, and as one looks 
; closer, the hints prove to be entire worlds.  Today's scene lies 
; in a remote non-critical valley near an unpromising bud in this 
; island of chaos.
; 
; To create the parent circle, I combined 1/2 part of Z^2 with 
; 1/10 part of Z^3 on each iteration, then and added 1/C.  Perhaps 
; the most interesting feature of the image is its combination of 
; open areas, straight spokes and spirals.  The spokes and spirals 
; explain the name.
; 
; The rating of 7-1/2 includes a half-point bonus for my work on 
; the colors.  It really did take nearly 1/2 hour to get the 
; colors almost right.
; 
; The calculation time of 15 minutes will pass slowly.  But here 
; is where the FOTD web sites come in handy.
; 
; Make life easy by checking the finished image on the official 
; FOTD web site at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; Make it easier by seeing a high-definition rendering at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; For perpetual enjoyment, the FOTD back images are online at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; When the morning fog cleared off, sunshine ruled the roost here 
; at Fractal Central today.  A few decorative angel-hair cirrus 
; clouds in the afternoon merely added to the splendor.  Fractal 
; cat Nicholas passed the afternoon sleeping in the sun.  From the 
; way he sometimes behaves since Cassie's departure, I would 
; assume he is interacting with her conscious left-over energy 
; field.  (Could I call it her spirit without arousing the wrath 
; of rationalists who know that conscious spirits do not exist?  
; [I guess it's all right as long as I consider such belief to be 
; merely a comforting and harmless fantasy.])
; 
; FL passed the day putting her garden to sleep; I passed the day 
; pondering the mysteries of existence.  The next FOTD will be 
; posted when the time is right.  Until whenever, take care, and 
; how can we make statements about the existence of things like 
; spirits when we can't even agree on whether the Mandelbrot set 
; actually exists?  (I, for one, have seen nothing of the set more 
; than a lot of pictures.)
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Spokes_and_Spirals { ; time=0:15:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip passes=t
  center-mag=-0.307016313251/+0.219156404541/6.96e+9\
  /1/-7.5/0 params=0.5/2/0.1/3/0/0/0/0 float=y
  maxiter=5700 inside=0 logmap=784 periodicity=6
  colors=000CDNDEOEFPFGQGHRHISIJTJKUKLVLMWMNXNOYOPZP\
  Q_QR`RR_RRYRRXQRZPR_PR`ORbNRcNRdSRgXRjaRmfRpeQndPl\
  dOkcQibRgbSfaUdaVc`Wa_Y__ZZZ_XYaVYbUXcSXdRVkJTrCRy\
  5Pz0Oz0Oz1Nz3Nz4Nz5My7Mx8Mw9LvBLuCKtEKsFKrGJqIJpJJ\
  pKHnJFlJEjJChJBfI9dI8bI6`I5ZH3XH3VH3TH3RH3TG7UFBWF\
  EXEIZEM_DQaCTbCXdB`eBdgAgh9kj9ok8rl8mqEhuJ3hH4dF6`\
  D8XBAUACQ8EM6GI4IF3KH6MI8OKAQLCSMETOHVPJXQLZSN`TPa\
  URZWOWXLTZIQ_GOaDLbAId8Fe5Cg2Ah0NXjMYiMZhLZgL_fL_e\
  K`dKacJacJbbJbaIc`Id_HdZHeYHeYUhbzrzznjvkhthfredoc\
  bm``jYZhVXgTVfQTeNRcKPbINaFL`CJ_9HZ7FYCIYGLYKNYOQY\
  SSXWVX_XXd_XhaXldWpfWtiWxkWznWzp3Re4Pc7ObAN`DM_GLZ\
  JKXLJWOHVRGTVFSZERbDPiCOiBNnCPpCRpDSzDUsDWzEX_EzZE\
  zYFzXFzXFzWGzVGzVGzEJz3LzANzMOzYPgiQlrRq4g35e45c46\
  b57`58Z69Y79W7AU8BT8E`5C`4B`4Aj39j38j27t16t15t0_z0\
  _z0_z0_z0_z0_z0_z0iz0iz0iz0rz0rz0rz0rz0rz0rz0rz0rz\
  0rz0rz0rz0rz0rz0rz0rz0rz0 }

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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