;     Date: Thu, 23 Aug 2012 17:33:14 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 23-08-12 (Square Root Reciprocal [6])
;       Id: <1.5.4.16.20120823173648.2bdff1c4@earthlink.net>
; ---------
; 
; FOTD -- August 23, 2012 (Rating 6)
; 
; Fractal visionaries and enthusiasts:
; 
; To produce today's little masterwork, I took the expression 
; Z^(sqrt(2))+C and calculated it 0.707106781 levels up the 
; logarithmic hyperspiral.  (The hyperspiral is another name for 
; the hyperladded.)  By no strange coincidence, 0.707106781 is the 
; reciprocal of 1.4142135624, the square root of 2.
; 
; The resulting parent fractal is a monster with more convolutions 
; than a street map of Tokyo.  Today's image lies in the Seahorse 
; Valley area of the parent, though one would never guess it by 
; looking at the parent.  Rarely have I seen such an obscure 
; Seahorse Valley.
; 
; The rating of a 6 is a sign that I am not very impressed with 
; the image.  We have seen too many similar images over the past 
; 15 years of the FOTD.
; 
; The name "Square Root Reciprocal" describes the expression that 
; created the image.
; 
; The calculation time of 3-1/4 minutes is slow, though still 
; faster than yesterday's.  Visit the web sites for a speedier way 
; to view the image.
; 
; View the finished image 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 at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; A near perfect day passed by peacefully here at Fractal Central 
; today.  The fractal cats heartily approved of the near cloudless 
; skies and temperature of 84F 29C.  The humans went through the 
; day with nothing exceptional to report.  The next FOTD will be 
; posted in more than an hour but not as much as a week.  Until 
; whenever that might be, take care, and it seems we're becoming 
; so frantic to stay healthy that we have forgotten how to live.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Sqrt_reciprocal { ; time=0:03:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=cosxx passes=1
  center-mag=+0.8559664295/-0.0636040039/13101/1/\
  50/0 params=1.4142135624/0/0.707106781/0 float=y
  maxiter=3750 inside=0 logmap=146 periodicity=6
  colors=000JBKIAII9HH8FG8EF7CE6AE59D57C46B34B33C43C\
  53C63C73C83C93GA6KB9OCCSDEWEH_EKcFNgGPkHSoIVsIXoHW\
  lGVhFUeEUaDTZDSVCRSBRPAQL9PI9OE8OB7N76M45L15L4BS6G\
  Y8McARiCQoRPjQKeQFaPAYPAUQCPRELSGHTHITJJULKVMLWONW\
  QzXRzYTzZVz_Wz_Yz`_za`zbbzbdzcezdgzeizejzZdzTZzMUz\
  GOzAJzAIzAIzAHzAHzAGzAGsAFsAFsAFrAErAEqADqADqACzAC\
  z99zACzAEzBHzBJzCLzCOzDQzDSzEVzEXz9PzCUzEZzGbVJgaL\
  lhFqpJpoNpoQpoUooXoo`ondnngnnknnqppnnnklmhjlehkbgj\
  `eiYchVagS`fPZeMXzKVzHUzESzBQz8Oz7Rz4Mz6Nz7Oz8Pz9Q\
  zBRzCRzDSzETzGUzHVzIVzJWzLXzMYzNZzOZzQ_nR`oSapTbqY\
  etUbqR`nOYkLWzHTzERzBOz4Lz6Mz8MzAMzCMmDMmFMmHMmJMm\
  LMmMMmOMmQMmSMmUMmVMmXMmZMm`MmbMmzMEzMDzMCzMBzIBzK\
  AzMAzO9zQ9zS8zU8pWmrYms_mtamvcmwecxgcyiczgczeczdcz\
  bcz`czczzczzczzczzczzczzczzczzcbzcezcgzcjzclzcozcq\
  zcszmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\
  zzmzzmzzmzzmzzmzzmzzmzzmz }

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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