October 4, 2011: Seeing the Light | Oct. 3 | Oct. 5 | 2011 | FOTD Home |
Fractal
visionaries
and enthusiasts:
A sudden rush descended on FC today, leaving little time for serious
fractaling. But the image I found in a hurry is worth at
least a
cursory look.
Today's image takes us to the valley around -1.399 on the negative
X-axis of the Mandelbrot set. This is the third valley beyond
Scepter Valley. But just to be different, we check the
Rectangular aspect of the valley instead of the Mandelbrot aspect, and
find today's scene.
I named the image "Seeing the Light". The name was inspired
by
the brilliant white vertical stripe in the center of the image, which
is made even more brilliant by the globules spread along it.
Having too little time to work on the coloring, I could give the image
a rating no higher than a 6. And its calculation time of
almost 7
minutes is a bit much to ask for the privelige of viewing an image that
rates a mediocre 6. Luckily, the FOTD web site has come to
the
rescue.
After a light early-morning sprinkle, the sky brightened today here at
Fractal Central. The sun even made a few brief appearances,
but
it was hardly a sunny day. The fractal cats took the
temperature
of 66F 19C in stride, giving more attention to the catnip frog that
somehow got pulled out from under the book shelves than to the outside
weather.
FL and I, never fully agreeing on politics, got into a lunch time
discussion about the political views of the extreme left and right,
with nothing at all being settled between us. (These mildly
heated discussions have been going on for many years, and nothing has
been settled yet.) One thing firmly settled however is that
the
next FOTD adventure into the 4th dimension will be posted in 24 hours,
when I will begin discussing the six regular polytopes that are
possible in four dimensions. Until then, take care, and I
know
that my political views are correct, but why can't the rest of the
world see it?
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Seeing_the_Light { ; time=0:06:52.55-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot2 passes=1 center-mag=+0/\
-0.02922557903896763/256.4055/4.7933 params=90/90/\
0/90/-1.399631247361716/0/0/0 float=y maxiter=75000
inside=255 logmap=87 symmetry=yaxis periodicity=6
colors=000HNcHNcHNbHNbHNbHNbHNaHNaHNaHNaHO`HO`HO`H\
O`HP_IP`IQ`IQaIRaJRbJSbJScJTcKTdKUdKUeKVeLVfLWfLWf\
LXgLXgMYhMYiMZjMZkN_lN_mN`nN`oOapOaqObrObsOctPcuPc\
vPcwPcwQdwQdzQdzQdzRezRezRezRezQfzRezRezRezRezRezR\
gzRgzRhzSgzShzShzShzShzShzShzShzThzThzThzThzThzTez\
TezTezUezUezUezUezUezUezUezXezWfzXhzYhzZhz_hz`hiah\
kbhochschwdhwdhwehweiwfiwfjwgjwgkwhkwhlwilwjmmkmml\
mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm\
mmmmmmmmmhhmccmZZmUUmPRmKOkFNiANg5Me5Mc5Lc5Lc5Kc5K\
c5Ja6J`6I`6I`6H`6G`6Fa6Ea6Da6Cb69b7Ab79b78a77`76_7\
5Z74Y73X72W71V90UB0TD0SF0RH0XJ0VL0TM0RN5POANPFLQGJ\
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z4zz4zz4zz4zz5zz5zz5zz5wz5wz5rz5rzArzFrzKrzPqzUqzX\
pz_pzbpzepzhozkoznozqoztozwmzzmzzmzznzzozzpzzqzzrz\
zszztzzuzzvzzwzzxzzyzzzzz }
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=========================================