October 29, 2012: The Missing Minibrot | Oct. 28 | Nov. 4 | 2012 | FOTD Home |
Fractal visionaries and enthusiasts:
Today's
image lies
in the parent fractal that results when 1.5 parts of Z^(-1.24) are
combined with 0.19 part of Z^(-7.26) on each iteration before (1/C) is
added. This parent is a colossal sprawling thing hundreds of
times the size of the default screen, which consists mostly of zig-zag
filaments twisted into huge loops. Today's image is located
in a
more interesting area of the parent, not too far from the origin.
I have named such scenes 'dry valleys'. From a distance it
appears that minibrots might lie at their centers. The
two-way
symmetry is certainly there. But at the center of symmetry we
find only saddle-shaped blank walls exactly as we find at the center of
today's image. The name "The Missing Minibrot" refers to the
disappointment at the centers of these dry valleys.
The rating of a 5-1/2 indicates that the image leaves much to be
desired. And the calculation time of 5 minutes also leaves
much
to be desired. A better time bargain may be found on the FOTD
web
sites.
Increasing wind and rain prevailed here at Fractal Central
today.
The wind and rain are the start of the big frankenstorm, which is not
due to reach its peak until tomorrow morning. So far, the
highest
wind gust has been a not-too-impressive 37mph or 50kph, but winds of
70mph, 112kph are expected tomorrow. The rain so far has
measured
only 0.5 inch or 1.2cm -- also not too impressive. Up to 12
inches, 30cm is expected south of here however before it all ends on
Wednesday. The temperature of 50F 10C was quite chilly for a
tropical storm. Fractal cat Nicholas watched the goings on
with
interest, then viciously attacked his toy ball. The next FOTD
is
due in about 24 hours. If it fails to appear, don't wait up
for
it.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
TheMissingMinibrot { ; time=0:00:05.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=-3.959516711/-0.158776657/874/1/-27.5/0
params=1.5/-1.24/0.19/-7.26/0/0/0/0 float=y
maxiter=1200 inside=zmag outside=tdis periodicity=6
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QWQQWQSWQSYPTYPTYPV`PV`PW`NW`NY`NY`N_`N_`M``M`aMba\
MbbMdbKdbKebKebKgbKgcJhcJ }
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=========================================