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.

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
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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=========================================