FOTD -- March 02, 2012 (No Rating)
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 human-
ity 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 hyper-
space 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 satis-
factory 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(a)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=========================================
