Sept. 16, 2012: On a Higher Plane | Sept. 14 | Sept. 17 | 2012 | FOTD Home |
Fractal visionaries and enthusiasts:
There
was no FOTD on
September 15 because FL and I took a short trip to a nearby primeval
forest and spent time by a waterfall -- a very enjoyable thing that we
actually did without a 'smart' cell phone giving us constant access to
the internet. (I wonder how people got along back in the
ancient
20th Century without one of those smart devices to keep them connected?)
The FOTD for September 14 was supposed to be the last of the current
rectangle series, but that evening, while I was going through some
early formulas, searching for the image in which I originally
discovered the Z^(2.003)+C rectangle, I turned up today's image, which
I feel fully deserves the honor of being re-declared an FOTD.
The
image has already appeared in a slightly modified form, as an early
FOTD, but it has lost none of its impact since then.
Do not be scared off by the following description of today's
image. It contains none of the offensive gore we see so much
of
in violent movies and games.
At first glance the image looks like a man with his head missing and a
trapezoid, which is actually the distorted rectangle, floating above
his neck. A close look will reveal two vague wings like
angels
are supposed to have, extending from the trapezoid and flapping in the
air. Since it is difficult to remain physically alive with
one's
head missing, I assume the wings are carrying the man's soul, (whatever
a soul might be), to wherever souls go when a person passes on.
The formula is an early effort to draw oblique slices through the
Julibrot. It is not new, but it has been used so rarely that
it
should be considered a new one. With some effort, I could
have
calculated the same image with a present-day working formula, but
laziness set in and I let it go as it is.
The name "On a Higher Plane" refers to one of those higher spiritual
planes of the new-age culture, which cause skeptics knees to start
knocking in apprehension. Since the astronomers have failed
to
find heaven even with their most powerful instruments, it must lie on
one of these planes of higher vibration.
The rating of a 9.5 indicates that I consider the image to be one of
the all-time best. It does indeed have a bit of artistic
worth,
as those familiar with the strange paintings of the surrealist artist
Rene Magritte will recognize.
The calculation time of 1-1/4 minutes is a true bargain, so snap it up
before it is gone.
Things are beginning to take on a feeling of Autumn here at Fractal
Central. The day dawned with a temperature of 50F 10C, and by
afternoon it warmed to a high of only 72F 22C. The brilliant
sun
did its best to warm the air further, but its angle is getting so low
that it is fast losing strength. The fractal cats enjoy the
lower
sun angle however. They spent the afternoon on their shelf in
the
southwest window, where the sun now shines in more strongly every
afternoon.
The humans spent the day doing human things such as watching the news
and discussing politics. The next FOTD, again guaranteed to
hold
no rectangles, will be posted when it is ready (most likely in 24
hours). Until whenever it does appear, take care, and will
mankind's growing fascination with computer driven technology be his
salvation or downfall? (Or are we all being brainwashed into
zombies by the space aliens from Sirius-C? )
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
On_a_Higher_Plane { ; time=0:01:25.00 SF5 at 2000MHZ
reset=1960 type=formula formulafile=may-98.par
formulaname=mult2-003-XY-ZW function=flip/ident
center-mag=+0.00652543223009536/0/92.95638/0.6626/\
-90/0 params=89.79892/94.33779/0.000177/0.073865/\
-1.743502/0 float=y maxiter=1200 inside=bof61
logmap=49 periodicity=6 passes=1
colors=00055AC6RD7TD8VE9XEAZCBWDC`DDaCEaCFbCGcAF_B\
IeAJfAJg9Kh9Ki9Fj9Kk9Kl8Km8Kn7Ko7Gl6Lp6Lq6Lr5Ls5Lt\
4Ip4Lv4Lw3Lx3Ky2Kz2Jv3Lz3Lz4Mz4Mz4Mz4Lz5Nz5Nz5Nz5O\
z6Oz6Ny6Py7Py7Py7Qy7Qy8Qy8Qy8Ry9Ry9Ry9Sy9SyASyATyA\
TyATyBTyBUyBUyCUyCVxCVxCVxDWxDWxDWxEWxEXxEXxEXxFYx\
FYxFYxFZxGZxGZxGZxH_xH_xH_xH`wI`wI`wIawJawJawJawJb\
wKbwKbwKcwKcwLcwLdwLdwMdwMdwMewMewNewNfwNfvOfvOgvO\
gvOgvPgvPhvPhvPhvQivQivQivOixPiwPiwQivRivRiuSiuTit\
TitUisVirVirWiqXiqYipYipZio_in_in`imaimailbilcikci\
kdijeiieiifihgihgighigiifiifjiekidkidlicmicnibnibo\
iapi`pi`qi_ri_riZsiZtiYtiYuiXviWxjXwjXwiXviXviXuiX\
uhXthXthXsgXsgXrgXrgXqfXqfXpfXpeXoeXoeXneXndWmdWmd\
WlcWlcWkcWjcWjbWibWibWhaWhaWgaWgaWf`Wf`We`We_Wd_Wd\
_Wc_WcZWbZWbZWaYWaYW`YW`YW_XW_XWZXWZWWYWWXWWXWWWVW\
WVWVVWVUVUUVUUVTUVTTVSTVSTVRSVRSVQSVQSVPRVPRVORVOQ\
VNQVNQVMQVMPVLPVLPVMPUMPT }
frm:mult2-003-XY-ZW {; draws 6 planes and many rotations
;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J
;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J
a=real((p1)+10^(-100))*.01745329251994,
b=imag(p1)*.01745329251994,
z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p2,
c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p3:
z=z^2.003+c,
|z| <= 36 }
END PARAMETER FILE=========================================