;     Date: Thu, 20 Feb 2014 17:29:48 -0500
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 20-02-14 (A New Orientation [A-5,M-7])
;       Id: <1.5.4.16.20140220170813.2b07b2fc@earthlink.net>
; ---------
; 
; FOTD -- February 20, 2014 (Rating A-5,M-7)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image shows the same scene and uses the same color 
; palette as yesterday's image, yet it appears totally different.  
; The reason is that today's image is sliced through the Julibrot 
; at a different angle.  And while yesterday's image calculated in 
; 10 seconds, today's takes 5-1/4 minutes to finish.  This time 
; difference is a result of the high speed of the mandel formula 
; hard-coded in Fractint.
; 
; As is usually the case with images sliced at such odd angles, I 
; needed to stretch and skew the image to bring it to reasonable 
; proportions.  I re-used the same color palette to keep track of 
; the elements common to both images.
; 
; The artistic aspect rates only a 5.  The stretched and tortured 
; features are really not all that attractive.  The math aspect 
; however is worth a 7, up four points from yesterday's lowly 3.  
; The four dimensional nature of the Julibrot plays a great part 
; in the math rating of today's image.
; 
; The calculation time of 5-1/4 minutes is slow by any standards, 
; but visiting the web sites will eliminate the calculation wait.
; 
; The finished image is or soon will be posted on the FOTD web 
; sites at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
;        <http://www.Nahee.com/FOTD/>
; 
;   <http://user.xmission.com/~legalize/fractals/fotd/about.html>
; 
; A mix of sun and clouds with a high temperature of 48F +9C made 
; today feel like spring despite the huge piles of snow still 
; lying around.  The fractal cats took advantage of the sun when 
; it was shining, then got into a tussle that grew a bit too 
; heated.  The fractal humans watched the olympic ice skating, but 
; became only mildly disappointed when the U.S. (in the opinion of 
; many, the greatest nation on earth), failed to win a medal.
; 
; Unless something unexpected happens, the next FOTD, which is 
; already in the bag, will be posted in 24 hours .  Until next 
; time, take care, and is there such a thing as a real illusion?
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

A_New_Orientation { ; time=0:05:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 center-mag=-0.000000000\
  00429617/+0.00000000000046497/1.427789e+012/\
  0.02601/6.40410471357221045/70.6951562808555707
  params=-105.18/-176.87/37.25/8.91/-1.7864399162298\
  41/1.20723576e-007/-1.786439916229841/1.20723576e-\
  007/2/0 float=y maxiter=6400 inside=0 logmap=-893
  periodicity=0 mathtolerance=0.05/1
  colors=00000C00C00D00D00E00F00G10H20I30J40K50L60M7\
  0O81Q92SA3TB4UC5VE6WF7YG8_H9aICcNFeTHgZKicNmiQroTv\
  tVzKHePIaUJYZKUcLRhLNmPJrUGvZCzc8zh5z0Dc6KP8DDA70C\
  14G58K8BOCFRFJVIMZMQbPTeSWbOY`K_YHaWDcUAVP9NL8FH77\
  D66A960C6AF5FI5KK5PN4UQ4ZT4cV5eY6g`7hb8je9lhAmjBom\
  CrpCwrLzzHcxDUv9Kt5Cs8FqAHpCJnFLmHNlJQjMSiOUhQWfTY\
  eV`cXbb_daaffchmejzbhm`ffZd`WbaU`aSZbPXcNVdLTdIReG\
  PfENgCMgELeGLdIKcJKaLK`NJ_OJYQIXSIWTIUVHTXHSYHRVOS\
  SVSQ`TNgTLmUItUGzUHxVHwVHuVItVIsVIqVJpVJnWJmWKlWKj\
  WKiWLgWLfWLeWTc1WcBYcK_cTbcbdckfctgcthcsictjcukcvm\
  cwncxocypczqczrczscztczuczvczwczxczzczzczzczzczzcz\
  zczzczzczzczzczzczzczzczzczzczzczymzzmzzmzzmzzmzzm\
  zzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:SliceJulibrot4   {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=z^(real(p5))+c
  |z|< esc }

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