FOTD -- November 01, 2009 (No Rating)
Fractal visionaries and enthusiasts:
A longer discussion appears on the philofractal list.
The FOTD is late because of a surprise antiquing trip on
Saturday and a flood of 'trick or treat' goblins Saturday
evening.
Today's image gets no rating because it's kind of an automatic
thing -- a minibrot lying near a larger minibrot deep in the
East Valley of the even larger minibrot on the main spike of
the parent fractal, which on the surface is an everyday
Mandelbrot set.
The name "High and Unmighty" refers to the extreme magnitude of
over 10^13, which makes the mathtolerance entry necessary; and
also the not-so-mighty final result of all the calculating.
We have seen this kind of thing countless times before, which
brings the rating of the image so low that I dared not mention
it. Instead, I let the image go with no rating at all.
The calculation time of 5 minutes is a bit slow for such an
everyday type of image. But salvation is at hand on the FOTD
web site at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
where the finished image is waiting to be viewed at leisure.
A sunny morning here at Fractal Central on Saturday gave way to
an afternoon of clouds and rain. The temperature of 72F 22C was
unseasonably warm however, and made the wet conditions not as
unpleasant as they might have been. The fractal cats complained
about the lack of afternoon sun, and curled up to sleep off
their dis-satisfaction. My day was pleasant enough, even if a
good part of it was spent looking at the old junk someone else
threw out.
The next FOTD will be posted in about 4 hours. At least, it is
scheduled to be posted then. Whether it appears on time is
another story. Until whenever, take care and don't worry about
the small things.
Jim Muth
jamth(a)mindspring.com
jimmuth(a)aol.com
START PARAMETER FILE=======================================
High_and_UnMighty { ; time=0:05:01.34-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=AllNewDivideBrot function=recip float=y
center-mag=-1.749855480585885/+0.00000000728024242\
/1.158437e+013/1/-47.5/0 params=13/3e+030 passes=1
maxiter=2500 logmap=539 periodicity=10
inside=0 mathtolerance=0.05/1
colors=000AAIAAJAAKAALAAMAANAAQAATAAWAAZAAa8AdFAgM\
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zz_zzwzzkzzNzzBzzbzzFzzxzzczzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
frm:AllNewDivideBrot { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
b=imag(p1)+0.00000000000000000001:
z=b*(z^2*fn1(z^(a)+b))+c
|z| < 1000000 }
END PARAMETER FILE=========================================
FOTD -- November 03, 2009 (Rating 7)
Fractal visionaries and enthusiasts:
Hooray! Today's quickie image actually rates a 7. It's a scene
in the parent fractal that results when 1.34 parts of Z^(-1.2)
are subtracted from 0.83 part of Z^(1.2) and (1/C) is added.
Since time is at a premium, I'll make no effort to describe the
image, but with a calculation time of a mere 35 seconds the
included parameter file can be run with little risk of bitter
disappointment.
The risk of let-down may be totally bypassed by viewing the
completely calculated image on the FOTD web site at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
Lots of sun on Monday here at Fractal Central, combined with a
temperature of 57F 14C, gave the fractal cats a pleasant
afternoon in the sun. My day was quite busy. The next FOTD
will probably be posted in 24 hours. Until then, take care, and
be alert for minor discrepancies.
Jim Muth
jamth(a)mindspring.com
jimmuth(a)aol.com
START PARAMETER FILE=======================================
NumbersWithout_End { ; time=0:00:35.85-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=-0.823047589/+0.837390532/5261/1/-160/0
params=-1.34/-1.2/0.83/1.2/0/0/0/0 float=y
maxiter=350 inside=0 outside=tdis periodicity=10
colors=000pQPqOVkKYeG_`DbV9dQ6fY4jd3nl2rs1vz0yy7ry\
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JnN1oO3pP5qQ6rR8sS9tTBnTI }
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=========================================
FOTD -- November 02, 2009 (No Rating)
Fractal visionaries and enthusiasts:
Another late fractal. I'm still getting caught up.
Today's image lies in the parent fractal that results when the
formula Z^sqrt(2)+C is calculated a whopping 4321 levels up the
logarithmic ladder, a level I chose purely on a whim.
It is an unusually good image for such a low exponent of Z.
Since the image was found in a hurry, I could not give it a
rating, but the calculation time of under 2 minutes means that
no one will have wasted much time if the image turns out to be
disappointing.
The name "The Root Has It" came to mind as soon as I shut down my
brain, (which I am told takes very little effort).
To see the rather dark image, either run the included parameter
file or visit the FOTD web site at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
Monday here at Fractal central featured sunny skies, a
temperature of 57F 19C, and happy cats. My day was quite busy,
but I still managed a fast FOTD. The next FOTD is due in about
6 hours. Check then, but do not be disappointed if it is late.
Until next FOTD, take care, and be happy in your fractal work.
Jim Muth
jamth(a)mindspring.com
jimmuth(a)aol.com
START PARAMETER FILE=======================================
The_Root_Has_It { ; time=0:01:58.84-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC2 center-mag=+0.8737443818\
611416/-1.340159768589525/9.624077e+009/1/87.5/0
params=1.414213562373/0/4321/0 float=y maxiter=1500
inside=0 logmap=241 periodicity=10
colors=0009AZ7AZ4AZ2AZ0AZ3AY0AW3AV5AT7AS9AQABPCCND\
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zzCzzDzzDzzEzzEzzNzzVzzbzzczzczzczzczzdzzdzzdzzdzz\
ezzezzezzezzfzzfzzfzzfzzc }
frm:MandelbrotBC2 { ; by several Fractint users
e=p1, a=imag(p2)+100, p=real(p2)+PI
q=2*PI*floor(p/(2*PI)), r=real(p2)-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z)>r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z|<a }
END PARAMETER FILE=========================================