Fractal visionaries and enthusiasts:

Today's image in the Z^2+C Julibrot is a rating puzzle.  I have no idea how to rate it.  To begin, it's neither a Mandelbrot image nor a Julia image.  It's an Oblate image, which means the orientation of the slice is determined by the real(Z) axis and imag(C) axis.

The scene is located in Seahorse Valley of the large minibrot on the main spike of the Mandelbrot set.  But the actual location is but a small part of the image.  I lost track of the amount of rotation, stretching and skewing that went into it.

The image shows just two of the bottomless pits and endless spirals that fill the area.  All the tiny nodes scattered through the frame are more bottomless pits, and those pits are filled with even tinier pits, to infinity.  That's how it goes with fractals.

The name "Galactic Collision" came to mind at an early stage of the coloring, when the image consisted of deep blues speckled with tiny dots that resembled stars, and actually did somewhat resemble colliding galaxies.  Since then I have totally re-colored the image to the fiery reds that now prevail, though I have the original name.  (Perhaps I should have stuck with the original colors.)

The calculation time of 50 minutes is largely due to the unusually high maxiter of the upper right quadrant of the scene, where some elements have a maxiter of over 200,000.  (The purplish band curving around the bottomless pit in the lower left is actually the lowest-iteration part of the entire image.)

Heavy clouds ruled the sky here at Fractal Central today, with a steady rain in the afternoon adding to the unpleasantness.  The temperature of 73F 23C was fair enough.  It's too bad the weather was not fair also.  The fractal cats, who lead boring but notably longer lives as indoor cats, took no notice at all of the weather.  Food and play was at the top of their agenda.

Finishing the week's work was at the top of the human agenda, and this task was accomplished with only minor problems.  The next FOTD will be posted in 24 hours.  Until that blissful moment arrives, take care, and it's all the fault of those aliens from the Herculean cluster, who are using earth as their experimental laboratory.

No, I do not actually believe that aliens from outer space are running the affairs of we humans here on earth.  But I would have no trouble writing a book about an alien conspiracy and using the things we have done and are doing to ourselves as 'proof' that aliens are among us . . . hey, maybe I'll do it.

Jim Muth
jimmuth@earthlink.net


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

Galactic_Collision { ; time=0:49:41.26-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot2 passes=1 periodicity=6
  center-mag=-0.02877222954091648/+0.000204047718176\
  44/6741119/0.0001957/-0.030483234210959366/-89.948\
  0538795542941 params=0/0/90/0/-1.76852919227/0/0/0
  float=y maxiter=200000 inside=255 logmap=-843
  colors=000cDOcCNcCMcCMcCLcCKcBKcBJcBIcBIcBHcAHbAGb\
  AFbAFbAEaADa9Da9Ca9CY9B_9A`8A`89b88c88d87f86g76h75\
  j75k74l73n63o62p61r61s60t60u81u92uA3uC4uD5uE6uF7vH\
  7vI8vJ9vLAvMBvNCvODwQDwREwSFwTGwVHwWIwXJxZJx_Kx`Lx\
  aMxcNxdOxePygPyhQyiRyjSylTymUynVyoVwmWulXtkXriYqhY\
  ogZneZld_jc_ia`g``f_adYacXbaWb`UcZTcXSdWQeUPeTOfRM\
  fQLgOKgNIhLHhJGiIEiGDjFCjDAkC9kA8lA4j96k97l99m8An8\
  Bo8Dp7Eq7Gr7Hs6Hu7It8It9IsAIsAIrBJrCJqDJqEJpEJpFJo\
  GKoHKnIKnIKmJKmKKlLLlMLkMLkNLkOLjPMjQMiQMiRMhSMhTM\
  gUNgUNfVNfWNeXNeYNdYOdZOc_Oc`ObaObaOb`Nc`Nc`Nd`Nd`\
  Nd_Ne_Ne_Ne_Mf_Mf_MfZMgZMgZMgZMhZMhZLhYLiYLiYLiYLj\
  YLjYLjXLkXKkXKkXKlXKlXKlWKmWKmWKmWJnWJnWJnVJoVJoVJ\
  oVJpVJpUJqUKqUKrUKrUKsUKsUKtUKtUKuUKuUKvUKvUKwUKwU\
  KwUPxUPxUPxUPyUPyUPyUPzUPzUPzUUzUUzUUzUUzUUzUUzUUz\
  UUzUUzUUzUUzUUzUUzUUzUUzUUzUUzUUzUUzUUzUUzUUzUUzUU\
  zUUzUUzUUzUUzUUzUUzUUzUUz }

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