;     Date: Wed, 19 Jun 2013 16:55:34 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 19-06-13 (An Old Friend [No Rating])
;       Id: <1.5.4.16.20130619165548.2bbfefce@earthlink.net>
; ---------
; 
; FOTD -- June 19, 2013 (No Rating)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image shows an old friend in a new light.  The old 
; friend is the curious Julia Z^(2.003)+C rectangle, which in 
; today's image is located at the point where the arms branch out 
; from the main trunk of the vaguely human figure.  Actually there 
; are an infinity of rectangles in the image, so don't try to 
; count the extras.
; 
; The new light is the fact that the image is not a pure Julia 
; scene.  It is double rotated 0.03,0.03 degrees, or 1.8,1.8 
; minutes, from the true Julia orientation.  (Double rotation is a 
; strange motion that is possible only in space of more than three 
; dimensions.)  1.8 minutes of rotation does not seem to be much 
; of a change, but when it is done very close to the Julia 
; orientation it makes a big difference.  In today's image it has 
; totally obliterated the left half of the humanish figure.
; 
; This rectangle is one of the first things I found when Fractint 
; gained the ability to calculate fractional exponents, which I 
; think was in 1992.  The rectangle struck me at once.  It has no 
; right to be there.  It just doesn't make sense.  But there it is 
; anyway, for all the world to see.
; 
; Since the rectangle as well as the human-like figure has 
; appeared so often as a FOTD, I could give the image no rating.  
; It's still kind of pleasant to look at however, and with a 
; calculation time of 25 seconds, it will cause no impatient 
; fidgeting.
; 
; An alternative way to view the image is to check it online at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; A high-definition rendering is online at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; And the back images are posted at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; Near perfect weather made everyone happy here at Fractal Central 
; today.  The sky was a clear Photoshop (or old Kodachrome) blue 
; with only a few small puffy white clouds, while the temperature 
; reached a comfortable high of 77F 25C.  The fractal cat made it 
; through the day in true feline fashion, alternating between 
; playing, eating and sleeping.  The fractal humans had an average 
; day, with nothing out of the ordinary to report, which is boring 
; to report but was pleasant.
; 
; The next FOTD is coming, and will be posted in a day or two.  
; Until whenever that great moment arrives, take care, and what 
; happened to the squatter who was dis-satisfied with his lot?
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

An_Old_Friend { ; time=0:00:25.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 center-mag=0/-0.0248852\
  /9.655172 params=89.97/0/89.97/0/-1.7435/0/\
  0.000175/0.073883/2.003/0 float=y maxiter=2400
  inside=0 logmap=yes periodicity=6
  colors=00070R70Q60Q60P60P60O60N50N50M50L50L50K40K4\
  0J40I40I40H40G30G30F30F30E30D20D20C20B20B21A12A139\
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  bQzi4zt3zp3zl3zi2ze2za2zZ }

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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