Sept. 4, 2013: Trouble in Sight | Sept. 3 | Sept. 5 | 2013 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's image was created with the MandelbrotMix3a formula, which mixes
together various portions of four different powers of Z. In
today's image, one negative part of (1/Z) is combined with straight
(Z), then mixed with one part of Z^(-1.6) and one negative part of
Z^(-1.4) before (1/C) is added on each iteration. The
0.2858095886402 value of the real(p5) parameter is the critical point
of the iterated expression, which I determined using the tedious
graphic method.
The parent fractal is little more than a nest of zigzagging filaments
with small Mandelbrot sets scattered about. Today's scene is
located in a knot of filamentary debris near one of the small M-sets.
In today's image the math value of 8 exceeds the artistic worth of
7. This unusual situation is due mostly to the unusually
large
number of different exponents of Z involved in the calculation.
I use today's formula so rarely for two reasons. First, the
images tend to become boringly similar as the number of exponents of Z
grows. Second, it is too tiresome to work out a critical
point by
calculation or graphically.
The name "Trouble in Sight" refers to the effort of finding a critical
point and the marginally satisfactory result when I did.
The calculation time of 2-1/4 minutes borders on slowness.
The
slowness may be eliminated however by checking the web sites.
A perfect day passed uneventfully here at Fractal Central.
The
fractal cat said the temperature of 79F 26C was perfect. The
fractal humans said the low humidity was perfect, while the photoshop
blue skies and cottonball clouds kept everyone else and every other
animal in town happy.
The next FOTD will be posted right here when I work up the energy to do
it. Until the energy strikes, take care, and no one can be a
true
liberal unless they hate guns and are worried about climate change and
equality. Too bad! Since guns are here to stay and
the
climate will continue changing and all people will never be equal, I
guess liberals are doomed to a life of endless frustration.
Jim (am I left or right) Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Trouble_in_Sight { ; time=0:02:15.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotMix3a function=recip passes=1
center-mag=+3.26650108165485/-0.05084635835292/\
1.326488e+008/1/-112.5/0 params=-1/-1/1/1/1/-1.6/\
-1/-1.4/0.2858095886402/0 float=y maxiter=800
inside=0 logmap=103 periodicity=6
colors=000zzzzyzyxzxwzwvzvuzutztszsqzrozpmznkzlizj\
hzhgz`fuTfoMfkEee7d`0cV0aP0_J0ZG0YC0UA0P80K60E4072\
250750C00H50K80N50P20R00T00V00X00Z00_00Z00X00V00T0\
0R00P00P00O00N20M80LE0KJ0KP0KV0K`0Pe0Uk0Zq0cu0hz0m\
z0rz0wz0zz0xz0uz0qz0my2ix4ew4av6Yu8Tu8NuAJuCGuCCuE\
8uG4uG0uH0uJ0uJ0uL0uL0uN6uNGsPPqPZmRggRqbTzXTzRVzN\
VzRXzVXzXXz`XzbXzeXxgXukXsmXoqXmsXivXgxXdzXbzXZzXX\
zXTzXRzXTzZTz`VzbVzdXzeXzgZziZxk`vm`uobsqbqsdoudmv\
ekxeizegzgdugboiZkiXekT`kRXmNRmLNoHHoGCqC8qA2s60s4\
0u00u00vE0vREvdRvqevzuvzzqzzmzvizqezkbzeZz`VzVRzPN\
zJJzEGz8Cz28z04z00z00z06z0EzHLz`TzqVxoVxoXxmXxmZxm\
Zxk`xk`xk`xibxibxgdxgdxgexeexeexegudgqdgobikbig`ie\
`ib`kZZkXZkTXkRXmNVmJVmHVmEToATozRozRozRmzVkzXkzZi\
z`gzdgzeezgezidzmbzobzqdzsgzvkzxozzszzvzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
frm:MandelbrotMix3a {; Jim Muth
z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1),
d=real(p2), f=imag(p2), g=real(p3), h=imag(p3),
j=real(p4), k=imag(p4), l=imag(p5)+100:
z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c,
|z| <=l }
END PARAMETER FILE=========================================