FOTD -- May 11, 2013 (Rating 7.5)
Fractal visionaries and enthusiasts:
Today's image begins an investigation of the 'hyper' parts of
the HyperMandelbrot set. The investigation will continue in the
days to come, when hopefully, we will stumble upon some far
better hypervistas.
Today's hyper vista lies in the East Valley area of the minibrot
on the main stem of the parent M-set.
The name "Hyperscene" is a description. The rating of 7-1/2 is
a come-down, but still a bit above average. The calculation
time of 2-1/4 minutes is fair enough, but the wait can be cut
somewhat by visiting the web sites.
The calculated image is at:
<http://www.crosscanpuzzles.com/Archives.html>
A hi-def rendering is at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
FOTD back images are at:
<http://www.Nahee.com/FOTD/>
An all-day rain watered down the planned outside activities here
at Fractal Central today. The temperature of 66F 19C was fine,
that is for the ducks. The next FOTD will be posted when it is
ready. Until then, take care, and don't look here for a clever
closing remark.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Hyperscene { ; time=0:02:15.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=HyperMandelbrot2 center-mag=-1.7499737\
29001535/+0.00000626490393988/1.235225e+011/1/100/0
params=0/0/0/0/0.5/0/1e-050/0 float=y maxiter=5200
inside=255 logmap=590 periodicity=0
mathtolerance=0.05/1
colors=0000FT0FU0FV0FW0FX0FY0FZ0F_0F`0Fa0Fb0Fc0Fd0\
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CzUCzUDzUDzYEzaEzeEziFzmF }
frm:HyperMandelbrot2 {; periodicity must be turned off
a=(p1),b=(p2):
q=sqr(a)-sqr(b)+pixel,
b=(p3+2)*a*b+p4,
a=q,
|a|+|b| <= 100 }
END PARAMETER FILE=========================================
FOTD -- May 10, 2013 (Rating 8.5)
Fractal visionaries and enthusiasts:
Today's image lies in the same area of the same parent fractal
that gave us yesterday's image, though it is located deeper in
the parent's East Valley than yesterday's. It would have rated
a 9 if it had not been a virtual repeat, but the actual rating
of 8-1/2 is still high enough to do justice to its dark somber
mood.
Once again, there is no minibrot lurking at the center of the
image, which apparently continues down forever, with the number
of arms increasing in the same irregular manner. In fact, I
have yet to find a single minibrot in any of the strange higher-
dimensional parts of the HyperMandelbrot set. This is really
not surprising, since HyperMinibrots would be four-dimensional
and unable to be squeezed onto a flat 2-D screen without huge
distortion.
The name "Variation" points out that the image is a variation of
yesterday's theme, rather than something new.
The good news is the fireball calculation time of 40 seconds,
which will be cut substantially if the parameter file is run on
one of the present-day multi-processor hot-rod units that the
Fractint program cannot yet (if ever) take advantage of. The
not-so-secret path to total freedom from parameter-running
chores lies on the FOTD web sites, where fractal enlightenment
abounds.
The official FOTD web site, where the basic finished image is
posted, may be accessed at:
<http://www.crosscanpuzzles.com/Archives.html>
with studies of the image in high-definition at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The FOTD back fractals from April 1997 are filed at:
<http://www.Nahee.com/FOTD/>
The day began with dense fog here at Fractal Central. The fog
lifted later in the morning, but the sun had a hard time break-
ing through higher clouds. We did have enough sun however to
raise the temperature to 73F 23C, which made the fractal cat
happy even from his lookout post inside FC. The humans had one
more in the apparently endless string of normal days. But this
does not imply boredom. After all, who needs sensational happen-
ings in their daily lives when there is quite enough sensation
coming from the mass media.
The next FOTD will be posted in a nominal amount of time. No
temporal anomaly is implied however. Until next time, take
care, and mythological stories are symbols that, when properly
understood, describe the spiritual world; just as mathematical
expressions are symbols that, when properly understood, describe
the physical world.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Variation { ; time=0:00:40.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=HyperMandelbrot2 center-mag=+0.2564007\
14981565/-0.000985574462821/3.572718e+007/1/-90/0
params=0/0/0/0/0.9/0/1e-020/0 float=y maxiter=1000
inside=0 periodicity=0
colors=000eFLfIKiKJkMIlOGnSEpWDrZCscBvfAyk9zo8zr9z\
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H40E11D23CA5GG6LO9PWBOdDM }
frm:HyperMandelbrot2 {; periodicity must be turned off
a=(p1),b=(p2):
q=sqr(a)-sqr(b)+pixel,
b=(p3+2)*a*b+p4,
a=q,
|a|+|b| <= 100 }
END PARAMETER FILE=========================================
Mike Frasier used his Fracton program (on a Mac) specifying
~28 decimal digits of precision and anti-aliasing
to render a version of Jim's FOTD for May 6th, 2013
without loss of precision artifacts.
To see the improvement, the two images to compare are
Fractint's anti-aliased version, and Mike's version.
You can also compare the unanti-aliased Fractint version
with Mike's...
Don't forget to click on the image in your browser to view it
actual size –- to prevent it from being re-sampled by your
browser! If a browser re-samples an image, it can
significantly change what you see and make comparisons
between images meaningless.
Please navigate to May 6, 2013 thru my home page: Thanks.
http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html
Jim always uses: float=y and, assuming that Fractint uses
IEEE 754 double-precision binary floating-point format for
its floating point calculations, Fractint is using
15 to 17 decimal digits during its number crunching:
http://en.wikipedia.org/wiki/Double-precision_floating-point_format
// Would a Fractint developer please comment on my assumption?
Of course, errors can accumulate during computation --
especially in repeated calculations as are used in
fractals. I typically find visible anomalies starting
to appear in Fractint fractals at magnifications of
around 10^(11) or 10^(12) depending on the fractal.
You can really see the improvement in Mike's ~28 decimal
digit anti-aliased version clearly by using my
"blink microscope" method (described at the bottom of
each monthly page on my site of Jim's FOTDs.) The method
is described where my page says: "Here's a nifty way
to compare..."
Please ignore the slight image shift when 'blinking' between
the two versions of anti-aliased images.
I'm really partial to using the keystroke method of
switching the viewed tab -- since you don't have to
take your eyes off the fractal to switch the tab
you're viewing. The differences between the images
will then hit you in the face like a wet mackerel.
- Hal Lane
########################
# hallane(a)earthlink.net
########################
FOTD -- May 09, 2013 (Rating 9)
Fractal visionaries and enthusiasts:
I have no idea why I named today's image "Out in Left Field",
but that's how it goes sometimes. The lack of a logical reason
for the name is no problem however. With a rating of a 9, the
image needs no fancy, logical name.
The image is a scene in the East Valley area of a Hyper-
Mandelbrot set that is filling in around the edges of the main
bay and inside the buds. The brilliant white hole at the center
is not an under-resolved minibrot. It is all that remains of
the period-21 bud on the south side of East Valley of the M-set.
The rest of the bud is filled in with patterns similar to those
in today's image, which, like the stack of world turtles, goes
down forever.
One of these days, someone like Mr. Mandelbrot (may he rest in
fractal land) will determine exactly what is going on in images
like today's. Unfortunately, I am not that person.
The rating of a 9 is no mistake. The unusually brilliant
colors, for which I *am* responsible, earn the rating.
The calculation time of 50 seconds is a joy to experience. It's
so fast that the calculation is dangerously close to finishing
before it starts, thereby creating a time paradox. Checking the
image on the web sites will eliminate this threat.
Be safe! Check the finished image at:
<http://www.crosscanpuzzles.com/Archives.html>
and the augmented version at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
And don't forget the back images at:
<http://www.Nahee.com/FOTD/>
After yesterday's deluge, today, even with its heavy clouds and
chilly temperature of 68F 19C, was an improvement. It was also
the fractal cat's day for a check-up at the doctor. He endured
the discomfort bravely, but showed a bit of resentment when he
returned to FC.
The next FOTD will be posted when it is ready. Until this
readiness arrives, take care, and the paranormal does indeed
exist. It is nothing more than natural things we do not yet
understand.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Out_in_Left_Field { ; time=0:00:50.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=HyperMandelbrot2 passes=1 float=y
center-mag=+0.27135683245/-0.00622833825/105332
params=0/0/0/0/0.9/0/1e-020/0 logmap=190 inside=255
maxiter=1500 outside=imag logmap=190 periodicity=0
colors=00000210320430540650760860970A80BA0DC0EE1FG\
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frm:HyperMandelbrot2 {; periodicity must be turned off
a=(p1),b=(p2):
q=sqr(a)-sqr(b)+pixel,
b=(p3+2)*a*b+p4,
a=q,
|a|+|b| <= 100 }
END PARAMETER FILE=========================================
FOTD -- May 08, 2013 (Rating 8)
Fractal visionaries and enthusiasts:
Today's image with its lightning-like filaments reflects the
weather today here at Fractal Central. The formula causing all
the bad weather on the screen takes 1.5 parts of Z^(-1.1) and
combines it with 0.3 part of Z^(-7.4) before adding (1/C) on
each iteration.
The resulting parent fractal is a hugely oversized thing
resembling an upside-down figure eight, with today's scene lying
on the filament extending east from the east branch of the
valley separating the two large lobes of the parent.
The name "Sinuous Discharge" refers to the image's sinuous outer
curves as well as the electrical effect of the brilliant inner
curves. The rating of an 8 is getting to be a habit, a habit
that I hope continues.
The calculation time of 1-1/3 minutes is appropriate for the
image, neither too fast nor too slow. But a chore remains --
the chore of setting up this e-mail as a parameter file and
running it. Thankfully, this is when the web sites are there
for the rescue.
Check the finished image at:
<http://www.crosscanpuzzles.com/Archives.html>
and the hi-def variations at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images are posted at:
<http://www.Nahee.com/FOTD/>
The weather took a turn for the worse here at Fractal Central
today, as a series of severe thunder-storms moved in during the
morning and dropped 3.15 inches, 8cm, of rain by noon. During
the storm an apartment building was struck by lightning and set
afire. The temperature hung around 61F 16C most all day.
Luckily, the fractal sump pump did its job and we had nothing
worse than a couple puddles on the basement floor. The fractal
cat, who doesn't like thunder, became uneasy until the noise
stopped.
The next FOTD will be posted in a reasonable time. Until reason
prevails, take care, and presidential assassins are buried in
the U.S. with no fuss; the Oklahoma City bomber, who killed well
over one-hundred, was buried in the U.S. with no fuss; the
Newtown school shooter, who killed 20 children was buried in the
U.S. without a fuss. Why then is there so much silly fuss
finding a place to bury the Boston bomber, who killed only four
people? If we claim it is because he used a weapon of 'mass
destruction', then shouldn't the automatic gun used by the
Newtown shooter and the bomb used by the Oklahoma City bomber
also be considered weapons of mass destruction?
IMO, everyone, even those we consider the most evil, deserves a
proper burial! God will deal with the evil-doer.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Sinuous_Discharge { ; time=0:01:20.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=recip float=y
center-mag=+84.76284793287175/+1.51704663727301/\
119/1/-96./0 params=1.5/-1.1/0.3/-7.4/0/0/0/0
maxiter=1200 inside=0 logmap=135 periodicity=16
colors=000A60A80AA0AC0AE0AG0AI0AK0AM1AO2AQ3AS49U5A\
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NzzOzzQzzRzzSzzUzzVzzKzzF }
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 -- May 07, 2013 (Rating 8)
Fractal visionaries and enthusiasts:
Today's image has some very unlikely parameters, which is a sign
that I was led to the parent fractal by the Fractint evolver
feature. But regardless of where the image came from, it still
rates an 8, which has been the standard for the past several
days.
The parent combines 2.475 negative parts of Z^(-1.05) with 0.275
negative parts of Z^(-5.5) then adds (1/C) on each iteration.
This parent is a huge Mandeloid with a circular main bay edged
by several large buds and a series of rings. Today's scene lies
in a filament leading to a degenerate ring on the eastern edge
of the large circular bay.
The rating of an 8 is perhaps a bit more than the image
deserves, but then again, perhaps I'm a bit too humble. The
name "Busy Body" refers to the clutter of detail filling the
frame.
The calculation time of 12 minutes is slow. It's at times like
this that the web sites come in handy however.
The finished image is posted at:
<http://www.crosscanpuzzles.com/Archives.html>
with hi-def variations at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images are online at:
<http://www.Nahee.com/FOTD/>
The weather was near perfect all day today here at Fractal
Central. The fractal cat enjoyed it, as did the fractal humans.
The next FOTD will be posted well before the world disintegrates
into a de-sitter soup. Until whenever, take care, and maybe I'm
a Boltzmann brain inside a larger Boltzmann brain, and it's
Boltzmann brains all the way up. BTW, when will these fascinat-
ing hypothetical creatures be mentioned on one of the
pop-science TV shows?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Busy-Body { ; time=0:12:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=-3.216611489264434/+0.5748460602506155/\
2.249254e+012/1/49/0 params=-2.475/-1.05/-0.275/\
-5.5/0/0/0/0 float=y maxiter=12000 inside=0
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ee`ffaiidmlfppitsmxwpzzzzzzzzzzzzzzzvzzvzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
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 -- May 06, 2013 (Rating 8)
Fractal visionaries and enthusiasts:
Today's image lies very deep in the parent fractal that comes
about when 0.1 part of Z^(4.4) is combined with 2 parts of
Z^(0.4) and straight C is added on each iteration. This parent
resembles a Mandelbrot set facing northeast with a large
triangular area sprouting behind it from its East Valley area.
Today's scene is located in the northwest valley forming the
entrance to this triangular area.
The name "In Deep Territory" refers to the unusual magnitude of
the image, one of the greatest of all time.
The rating of an 8 reflects my opinion of the image at the time
I rated it. I may soon shift to an more informative rating
system that gives two ratings, one for the artistic value, the
other for the mathematical interest.
A good part of the artistic effect was achieved by rendering the
image with the inside set to 'fmod'. The magnitude of over
2.5*(10^13) is at the verge of resolution breakdown. In fact,
the breakdown is already becoming visible along some of the
sharp edges.
Luckily, the image calculates in 3-1/2 minutes, surprisingly
fast for a scene that uses the 'fmod' feature. And the web
sites are always there for instant enjoyment.
Check the finished image at:
<http://www.crosscanpuzzles.com/Archives.html>
and the high-definition renderings at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images are at:
<http://www.Nahee.com/FOTD/>
Another absolutely perfect day prevailed here at Fractal Central
today. The few angel-hair cirrus clouds that appeared in the
morning, and the few cotton-puff cumulus clouds that popped up
over the ridges in the afternoon did nothing but add to the
perfection. The temperature of 73F 23C and gentle southeast
wind were also perfect. The fractal cat admired the outdoor
conditions . . . from the inside. The fractal humans also
admired the outdoor conditions.
The next FOTD will be posted in a number of hours. Until that
number passes, take care, and I am still waiting for someone to
solve the very interesting and quite puzzling 'Boltzmann brain'
paradox, which currently has physicists pondering and rational
skeptics a bit concerned also. I'll forget the convoluted line
of thought about entropy that led to the problem, since it is on
the internet. At this time, I'll merely state that either the
existence of the universe involves more than pure blind chance,
or the universe is filled with disembodied 'Boltzmann brains'
which somehow can exist and be conscious while floating in empty
space.
The apparently 'logical' deduction is that, if the universe is
merely a random accident, then it is many googols of times more
likely that, instead of existing in a real physical universe, I
am a pathetic deluded Boltzmann brain, floating in empty space
and imagining everything I have ever experienced, including the
physical world and everything else that appears to be so real.
I doubt that this is true, but, despite convoluted claims to the
contrary, no one has yet been able to show beyond doubt that it
is untrue without invoking an intelligence of some kind to elimi-
nate the random element. And we know what rational scientific
skeptics think of the idea of 'God'.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
In_Deep_Territory { ; time=0:03:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=ident
center-mag=-1.122707213001586/-0.1067224794760605/\
2.545255e+013/1/-15/0 params=0.1/4.4/2/0.4/0/0
float=y maxiter=1000 inside=fmod proximity=0.932
periodicity=6 mathtolerance=0.05/1
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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 -- May 05, 2013 (Rating 8)
Fractal visionaries and enthusiasts:
Today's image lies in the parent fractal that results when the
simple formula Z^(1.75)+C is iterated 9 levels up the multi-
dimensional complex-logarithmic hyperspiral. This fractal
consists of a large main bay split along the X-axis, with a
prominent disconnected smaller Mandeloid lying some distance to
the southeast. Today's scene lies in a valley in this smaller
Mandeloid.
The name "Lopsided Basin" refers to the unbalanced nature of the
basin surrounding the central minibrot, where the iteration
count and therefore the appearance of the fractal elements on
the left and right sides are vastly different.
The rating of an 8 includes a bonus for the coloring effort,
though I'm not saying how much of the rating includes the bonus.
The calculation time of 1-2/3 minutes will pass fast enough to
keep boredom in the realm of remote possibilities. Boredom may
be done away with altogether by viewing the image on one of the
FOTD web sites.
Accept the obvious. Fractals are great! For rational proof,
check the official FOTD web site at:
<http://www.crosscanpuzzles.com/Archives.html>
and if further proof is needed, check the high-definition
renderings at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The ultimate in proof may be found at:
<http://www.Nahee.com/FOTD/>
where thousands of similar fractals are posted.
Cloudless skies prevailed all day on the 4th and 5th here at
Fractal Central, with a temperature of 72F 22C both days and
gentle breezes. The fractal cat saw the sun outside and
wondered why it failed to reach his shelf. The humans spent the
4th working and the 5th relaxing.
The next FOTD will be posted soon enough to prevent withdrawal
and with enough delay to prevent fractal overload. Until
whenever, take care, and to me it seems as though we're so
obsessed with political correctness that we have no way to even
recognize the causes of our problems much less to accept the
causes and rationally discuss possible solutions.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Lopsided_Basin { ; time=0:01:40.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident
center-mag=+1.266621276199444/-0.148359824796705/\
2.008047e+007/1/75/0 params=1.75/0/9/0 float=y
maxiter=1800 inside=0 logmap=238 periodicity=6
colors=00050B60970780B90EA0HB1LC2OD3RE4VF5YG6`I7cK\
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mbzmczmdzmezmezmfzmfzmfzmgzrgzrgzrhzrhzrhzrizrizri\
zrjzrjzrjzrkzrkzrkzrlzrlz }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)+PI-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=========================================
FOTD -- May 03, 2013 (Rating 8)
Fractal visionaries and enthusiasts:
Today's image resembles a shield decorated by fractal heraldry.
I appropriately named it "Well Shielded". The fractal, which is
rotated 90 degrees, lies on the main stem of its parent, an
oversized Mandelbrot set that is on its way to becoming a cubic
Mandeloid. The exact location of the scene is in a blunt valley
jutting eastward into the second bud out the main spike, which
is already splitting into the cubic-bud shape, with two lobes.
The rating of an 8 is based on the unusual cubic shield-like
pattern and also on my semi-expert coloring, which some say is
great and others say is amateurish. All I can say is that great
art is not created in the matter of the minutes that I spent on
today's image.
I went back to the 'DivideBrot5' formula for today's image
because this formula does some types of mixed-power images
better than the 'FinDivBrot-2' formula that I usually use.
The calculation time of 2 minutes might be just slow enough to
give restlessness a chance to appear. The wiser way to see the
finished image is to visit the FOTD web sites.
Find your happiness at:
<http://www.crosscanpuzzles.com/Archives.html>
where the image is posted already calculated.
And clarify your vision at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
where the high-definition versions are posted.
The thousands of back images are online at:
<http://www.Nahee.com/FOTD/>
bringing joy beyond comprehension to those who venture there.
Perfect weather still prevailed here at Fractal Central today,
with a cloudless sky, gentle breeze and temperature of 70F 21C.
The fractal cat took it in stride, being more concerned with
pigeons roosting in the area. The humans had an average day,
which is pleasant to experience but boring to write about.
The next FOTD will be posted quite soon, and that is not boring.
Until soon arrives, take care, and we should not be angry at big
corporations such as oil and phone companies for making such
obscene profits at our expense. We should be angry at ourselves
for having allowed ourselves to become addicted to their flashy
products, thereby assuring these powerful conglomerates that
their obscene profits will continue to grow.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Well_Shielded { ; time=0:02:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basic.frm
formulaname=DivideBrot5 float=y maxiter=1900
center-mag=-3.866658236650682/0/7.70961e+009/1/90/0
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FzzHzzKzzMzzPzzRzzUzzWzzT }
frm:DivideBrot5 { ; Jim Muth
z=(0,0), c=pixel, a=real(p1)-2,
b=imag(p1)+0.00000000000000000001:
z=sqr(z)/(z^(-a)+b)+c
|z| < 1000000 }
END PARAMETER FILE=========================================
FOTD -- May 02, 2013 (Rating 7.5)
Fractal visionaries and enthusiasts:
Today's image bears footprints, which is not surprising, since
it lies in yesterday's parent fractal, very close to yesterday's
scene. But these footprints were not made by bigfoots, they
were made by aliens from outer space, which explains why they
resemble the pea-pods of the body snatchers.
The actual location is East Valley of the large minibrot on the
main stem of the parent, where a tiny minibrot is located.
Today's scene lies at the tip of the main spike of this minibrot.
The name "Aliens Among Us" merely tells it like it is. For all
anyone knows, the space aliens may very well be living among us,
unrecognized and disguised as the man and woman next door.
The rating of 7-1/2 is quite average. The extra half point is a
reward for the coloring, which was more difficult than first
appears.
The calculation time of one minute will leave just enough time
to go into the next room and pour a drink. Viewing the image on
the web sites will avoid the drink.
Be cheerful anyway! View the finished image at:
<http://www.crosscanpuzzles.com/Archives.html>
Be joyful! Check the high-definition variations at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
Be in total bliss! Check the thoudands of FOTD images at:
<http://www.Nahee.com/FOTD/>
Today brought another round of cloudless skies, gentle winds and
dry air to Fractal Central. The temperature of 73F 23C made it
the second consecutive perfect day. Nicholas, the cat of the
fractal variety made it through the day uneventfully, sleeping
all afternoon in my favorite chair. The fractal humans made it
through the day by working.
The next in the inexhaustible series of FOTD fractals will be
posted soon. Until whenever, take care, and everyone wants
peace, but the evil other side will not let it happen, and this
is true regardless of which side a particular person is on.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Aliens_Among_Us { ; time=0:01:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=-17.53500853358189/0/2.109337e+010
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KzzGzzDzz9zz6zz7zz7zz7zz7 }
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=========================================
