;     Date: Sat, 28 May 2011 08:57:35 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 28-05-11 (The Golden Mallard [5])
;       Id: <1.5.4.16.20110528085737.1417e4fa@pop.earthlink.net>
; ---------
; 
; FOTD -- May 28, 2011 (Rating 5)
; 
; Fractal visionaries and enthusiasts:
; 
; Due to an unexpectedly busy day on Friday, today's image is a 
; quick and simple one, and the discussion is just as simple.
; 
; The image is named "The Golden Mallard".  On the surface it does 
; resemble a duck floating serenely on an invisible body of water. 
; (A lake transform might have been helpful in creating the water 
; effect.)
; 
; Actually, the image is the parent fractal that is created when 
; the formula Z^(1.05)+C is iterated 10-1/2 levels up the complex 
; logarithmic hyperspiral with the 'recip' function applied.  
; (This function seems to work best with this formula, though I 
; doubt that it is the most accurate.)
; 
; The calculation time of 41 seconds will pass quicker than a car 
; at the Daytona Speedway.  But before this speed can be apprecia-
; ted, the included parameter file must be set up and run.  The 
; way to avoid this minor hassle is to view the finished image on 
; the FOTD web site at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; The high-definition version is posted at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; The original FOTD web site is at:
; 
;       <http://www.Nahee.com/FOTD/>
; 
; A mix of sun and clouds and a temperature of 84F 29C made Friday 
; a pleasant but rather warm day here at Fractal Central.  The 
; fractal cats spent the day taking it as easy as possible without 
; giving up the activity that goes with asking for food.  FL spent 
; some of the time in the garden, caring for a sick rose bush.  (I 
; did not realize gardening was so emotional.)
; 
; The next FOTD will be posted in 24 hours.  Until then, take 
; care, and the next time you think a deep thought, try to deter-
; mine how much the thought weighs.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

The_Golden_Mallard { ; time=0:00:41.30-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=recip
  center-mag=-1.58412/-0.336258/0.4444593/1/-20/0
  params=1.05/0/10.5/1500 float=y maxiter=3200
  inside=0 logmap=37 symmetry=none periodicity=6
  colors=00012K22K32L42L52M62M73M73N83N93O93OA3PA4PA\
  4PA4QA4QA4RA4RA5SA5SA5SB5TC5TD5UD6UE6VE6VE6VF6WF6W\
  F7XG7XG7YG7YG7YG7ZG8ZG8_G8_G8_G8`H8`H8aI9aI9bI9bI9\
  bJ9cJ9cJAdKAdKAeKAeKAeKAfKBfKBgKBgLBhLBhLBhLCiLCiL\
  CjLCjMCkMCkMDkMDlMDlMDmMDmNDnNEnNEnNEoNEoNEpNEpNEp\
  OFoOFoPGoPGoQHoQHoRIoRIoSJoSJnTKnTKnULnULnVMnVMnWN\
  nWNnXOmXOmYPmYPmZQmZQm_Rm_Rm`Sm`SmaTlaTlbUlbUlbUlc\
  VlcVldWldWleXkeXkfYkfYkgZkgZkh_kh_ki`ki`kjajjajkbj\
  kbjlcjlcjmdjmdjnejneiofiofipgipgiqhiqhiriiriiriiph\
  gnhfmhekhdjgchgbfgaeg`cf_bfZ`fY_fX`gY`hZ`hZ`i_`j``\
  ka`la`mb`nc`odbn_dmVelQfkRgjRhiRhiSihSjgSjgSkfTleT\
  mdTmdUncUocUocUpcVpcVpcWpcWpcXpcXpcYpcYpcZpcZpc_Nm\
  7Mm8Mm9LmALmBKmCKmDJmEJmFImGImHcmIcmJcmKcmLcmMcmOc\
  mNcmNmmNmmNmmNmmNmmNmmNmmNmmNmzMmzMmzMmzMmzMmzMmzM\
  mzMzzMzzMzzMzzLzzLzzLzzLzzLzzLzzLzzLzzLzzLzzKzzKzz\
  KzzKzzKzzKzzKzzKzzKzzKzzz }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

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