Fractal visionaries and enthusiasts:

Today's image has a negative rating of -6 because it's a negative image.  Most fractals, with their bright pinks and yellows, produce a feeling of positivity and elation; but today's image, with its somber blues and purples, creates a feeling of negativity and depression, thus the negative rating.

The name "Deep-Purple Scene" describes the image quite thoroughly.  The depression the image evokes is due to the colors.  With more cheerful colors, the image would be not at all depressing.

The image is simply a near-Julia set of a point in the north branch of Seahorse Valley of the large minibrot on the main spike of the Mandelbrot set.  It is only a 'near' Julia set because the Julibrot slice is double rotated 0.2,0.2 degrees from the true Julia direction.  It is impossible to imagine such a double rotation, but by actually doing the rotations, one can observe that the double rotation does exist.

The somber deep blue wedge slicing through the middle of the open Julia shape is actually a grossly enlarged view of the Mandelbrot aspect of the area.  It is possible to enlarge the 4-D Mandelbrot shapes to infinity because the stuff Mandelbrot shapes are made of is compact in the Mandelbrot 'C' planes but extends to infinity in the Julia 'Z' planes.

The calculation time of 3-4/5 minutes is perhaps a high price to pay for such a downer of an image.  Once again, thank goodness for the FOTD web site, which I believe is back in action again.

After a gray and foggy start, today turned into near perfection here at Fractal Central.  The sun shone constantly, while the temperature reached 72F 22C, which made the fractal cats happy and sent them scrambling to their sunny shelf in the southwest window.

With the real work winding down, the humans took it easy doing other things.  The next FOTD is due to be posted in 24 hours, but from the way things have been going lately, I would not be surprised if it was sooner or later.  Until whenever, take care, and there's a new world coming, where time travel into the past is an everyday reality.  (Want to bet?)

Jim Muth
jimmuth@earthlink.net


START PARAMETER FILE=======================================

Deep-Purple_Scene  { ; time=0:03:53.06-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot2 passes=t
  center-mag=0/0/6.666667 params=89.8/0/89.8/120/\
  -1.7685524/0.0008063/0/0 float=y maxiter=16000
  inside=0 logmap=6 periodicity=0
  colors=000002002002003113223335447859A6BC7DD7EF8GH\
  9IJAKLBMNCOOCPQDRSETUFVWGXYHZZH_`IabJcdKefLghMiiMj\
  kNlmOnoPpqQrsRttRurTtpUtnVtlWtkXtiZtg_te`tcatbbt`c\
  tZesXfsWgsUhsSisQjsOlsNmsLnsJosHpsGqsHpqIooJnmKmkL\
  liMkgNjeOicPhaQg_RfYSeXTdXUcYVcZWcZXc_Yc`Zc`_ca`ca\
  acbbbcbacb`dc_ecZecYfcXfdWgdVhdUhdTieUjeUjeUkeVkfV\
  lfVmfWmfWngWogXogXphYqgXpgXpgXpfYpfYpfYoeYoeZoeZoe\
  _odZod_nd_nc_nc_nc_nb_nb_mb_mb`ma`ma_ma`m``l``l`al\
  ``l``laalaakabkbckdckddkfdkfejedkbej`fjZdjWbiW_iWZ\
  iVXiVWiVViUVhUVhUUhUUhTThTShTRgSPgSOgSNgRNgRNgRNfR\
  MfQMfQMfQMfPMfPLePLeOLeOLeOLePMdOLeOLeOLeOLfNLfNLf\
  NKgNKgNKgMKhMKhMKhMJiMJiLJiLJjLJjLHjLHkKHkKHkKHkKH\
  lKHlJGlJGmJGmJFmJFnIFnIEnIGoICoIAoHApHApHApHAqHAqG\
  AqGArGArGArFAqGArGArGArGArGArG0rG0rG0sG0sG0sG0sG0s\
  G0sG0sG0tG0tG0tG0tG0tG0tG0tG0tG0uG0uG0uG0uG0uG0uG0\
  uG0vG0vG0vG0vH0vH0vH0vH0v }

frm:SliceJulibrot2   {; draws most 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),
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=sqr(z)+c
  |z|<=9 }

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