August 9, 2013: Cubic Anti-Minibrot | Aug. 8 | Aug. 11 | 2013 | FOTD Home |
Fractal
visionaries
and enthusiasts:
As the name of today's image, "Cubic Anti-Minibrot", implies, the image
is an example of cubic anti-trifurcation. Unlike
anti-bifurcation, anti-trifurcation repeatedly cuts the number of
elements by 2/3 as the peak of the central hill is
approached.
This is not very clear in the image, but it is there nonetheless.
The scene of the action lies in the East Valley of the large minibrot
on the western filament extending from the northern bud of the parent
cubic Mandeloid.
With the art rating down to a 5 and the math rating at a 6, I suspect
that the 'anti' theme is growing boring and it might be time to move on
to new mathematical wonders.
The calculation time of a fireball fast 30 seconds will leave little
chance for too much expectation to build, making the risk of
disappointment slim to none. And the web sites are always
ready
to eliminate the annoying chore of calculation.
Heavy clouds hung around most all day here at Fractal central, but the
rainfall was minimum. The temperature of 84F 29C felt a bit
muggy
due to the high humidity. The fractal cat, who has reached
the
exalted status of senior cat, slept through most of the afternoon,
while the non-exalted humans had to work their way through the day.
The next FOTD will be posted in the proper time. Until
whenever,
take care, and we all might be conscious robots some day, or even
better, we might already be robots.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
CubicAnti-Minibrot { ; time=0:00:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=ident
center-mag=-0.2590819002336924/+1.254100298263262/\
3.963381e+011/1/-25/0 params=1/3/1e-016/-3/0/0/0/0
float=y maxiter=1500 inside=0
periodicity=6 mathtolerance=0.05/1
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J9HI7IH8HI8HJ9HK9HLAHMAGN }
frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================