Fractal visionaries and enthusiasts:

The name of today's image came about when I watched a program on the Science Channel last evening about the possibility of humanity gaining physical immortality through science and advanced technology, which is the only kind of immortality Atheists and skeptics can believe in.  (The faithful need no technological miracles.  They already have the immortality of their eternal souls.)

The TV program presented several ways physical immortality might be achieved, none of which, in my opinion, have a ghost of a chance of working ;-) .  But the program did reveal the deep longing in the human spirit for something more than the few morsels of satisfaction we might manage to dredge up in this meager and ultimately meaningless lifetime.  The name of today's image is "Eternal Longing", which recognizes this instinctive sense of something missing.

In my imagination, I saw the image as a gateway to whatever one might suppose comes after their final breath.  The fact that I showed light instead of darkness on the other side of the doorway could be a hint of my own personal beliefs, though I doubt that any Atheist or deeply religious person would agree with my view of things.

The image is a scene in the (-Z)^(1.234)+C Julibrot, sliced at an angle double rotated halfway from the Mandelbrot to the Julia orientations.  (Double rotation can happen only in 4-D hyperspace when a 4-D object rotates around a point.)

I gave the image no rating, since it is another blast from the past, transferred from an early experimental 4-D formula to the SliceJulibrot5 formula that I use today.

The calculation time of 1-1/3 minutes is quite brief, certainly much shorter than eternity.

The day began sunny enough here at Fractal Central, but the clouds thickened as morning progressed, and by midday it was obvious that the fine weather would not last.  By afternoon it had turned into another cloudy day, with a forecast of rain to soon arrive.  The temperature of 50F 10C was pleasant enough for the fractal cats, who never concern themselves about what comes next, and seemed to know early that they would not have all the sun they would have liked.

The humans had an average day, which probably seemed quite satisfactory to the cats.  The next FOTD is due in 24 hours, but tomorrow is Saturday, and antiquing expeditions do happen on Saturdays, so if the FOTD doesn't appear until Sunday, don't be concerned.  Until whenever, take care, and at the quantum level, two mutually exclusive things can both be true at the same time, so maybe, in some way we cannot understand, the scientific view of no hereafter and the religious view of heaven (or whatever) are both correct.

Jim Muth
jimmuth@earthlink.net


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

Eternal_Longing    { ; time=0:01:20.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot5 center-mag=1.24128/0/\
  0.2592221/1.3363/90/0 params=45/0/45/0/1/0/0/0/\
  1.234/27 float=y maxiter=32767 inside=255
  logmap=yes periodicity=6
  colors=00000000000200400620840A60A80CA0DE0FJ0FW0Fd\
  0Fm0FzNGzmHzdIuKKs7LlLKmYKzkKzxKzoRmfXcYcKPiIHoOGk\
  UFgZEbdDZjCVpBRuANhDXVHfIKpMJcQISTR1MQ2EO47N5EM8LL\
  BRJDYIGdHJjGMqFPwERsFVnGYjHaeIdaJgdKfgKeiLdlLcnLbp\
  MasMbuMclNdcNeVOfMOgEbh7piG`jOMkSUlXbm`jndroTbpGNq\
  47rNIseTthQukMvnJwqFxtCyw9zy6zmEzbNzRVz_OziIzrBzaO\
  zM_ztJzBOzV_znjzcjzUizJizLozKbzIPzHCzRIzaOzkUzdTzY\
  SzQQzJPzMOzPNzSMzVLzbVzjczrmzzvzwkzt_zqPzXczCqzyNz\
  sqznfzfXzZNzQCzI2zH2zG2zE2zD2z8Cz4MzBWzIdzQazZZzfW\
  zhLziBzj1zjHzjYzjmzahzUbzLYzWNzfCzdPz_PzUQzPQzgTz8\
  MzPPzfTzwWz8AzMEzDEz67zrQz_HzI8ztpzSQz0nz0PzCEz89z\
  44zyrzVRzUtzMfzFSz7EzHHzoLzHAzB6z53zd8zv5zTizMYzEN\
  z7BzbXzliz3yz1Vz5pz2QzMqz1XzIkzCWz6Gzd9zV7zK4zA2z_\
  bzRTzIJz99zjszZezNSzBEzJHzEDz98z44zS8zajzJNzmbz`Tz\
  PJzC9zBCz56zV5zN4zF2z71zJRzCIz69ztizSNzfzzt2zf1zS1\
  zE0zX3zG1z9Sz7Lz4Ez27zzzz }

frm:SliceJulibrot5   {; 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=========================================