FOTD -- February 21, 2013 (Rating 8)
Fractal visionaries and enthusiasts:
Today's image is a scene in yesterday's 'phantom' parent
fractal, which was revealed by switching the value of initial Z
of the Feb. 18 image to the second critical value of the
generating function, which is -1. The location is near a larger
minibrot in a tiny valley on the western shore line of the large
western bay of today's parent.
Today's parent fractal, which appeared as yesterday's FOTD, is
quite unusual. It is filled with minibrots, but the minibrots
are not the expected quadratic variety as they are in the other
parent fractal of today's function. Instead, as is illustrated
in today's image, they appear to be of an order somewhere around
2.5. Actually, today's entire parent is strange, and deserves a
more careful examination, which I will do in the next few days.
The rating of an 8 is divided half-and-half between mathematical
interest and fractal artistic value. The name "In the Phantom"
describes the location of today's scene -- in a fractal that
first appeared as a buried 'phantom' fractal in the background
of the image for February 18.
The calculation time of 6-1/2 minutes is slow. Checking the web
sites can cut the wait to seconds.
The finished image is posted at:
<http://www.crosscanpuzzles.com/Archives.html>
Variations in hi-def are at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images are at:
<http://www.Nahee.com/FOTD/>
A mix of sun and clouds, complete with a few flakes of snow,
made today a typical sample of midwinter weather here at Fractal
Central. The temperature of 34F +1C was almost exactly average
for the day. The fractal cat spent several hours on the shelf
in the southwest window, trying to enjoy the off-and-on sun,
while the humans passed the day working. The next FOTD will be
posted, that much is certain. The only question is exactly when
it will be posted. Until whenever, take care, and have fun.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
In_the_Phantom { ; time=0:06:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=cosxx inside=1
center-mag=-1.759337223588773/+0.04880086507460096\
/1.244e+010/1/-97.5/0 params=-2/2.3/1/4.6/-0.02/0/\
-1/0 float=y maxiter=5400 logmap=470 periodicity=6
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gzEfz6ozAjzDfzHbzhlzfhzed }
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 -- February 20, 2013 (Rating 7)
Fractal visionaries and enthusiasts:
The FOTD that appeared two days ago on February 18 was named
"A Phantom Parent". In that image it is apparent that another
fractal lies buried beneath the surface fractal, but because the
surface fractal is critical, that hidden fractal must be forever
obscured. But things are not nearly as bad as they first
appear, for in today's image I take away the surface stuff and
reveal that phantom fractal in its full glory, which explains
the name "The Phantom Revealed".
The trick lies in choosing the alternate critical value of
initial Z. The generating expression actually has two critical
values. In the previous image, the initial value of Z was
automatically set to zero, one of the critical values. In
today's image, I have reset the value of initial Z to -1, the
second critical value. The result of this change is to move the
previously buried fractal to the surface, and bury the fractal
that was previously on the surface. Fragments of the previous
surface image now appear as the bits of orangish stuff scattered
about today's scene.
Calculating complex critical values is not much fun. One of
these days I might find a formula that can switch the critical
values of initial Z automatically, but that day is not in the
foreseeable future. Until then, I will continue to find the
alternate critical values with the graphic method.
The rating of a 7 totally reflects the mathematical value of the
image. The artistic value hardly exists. But I will dive into
today's image and post what I find there as tomorrow's FOTD.
Who knows, I might find something worth a higher rating.
Check the fractal phantom at:
<http://www.crosscanpuzzles.com/Archives.html>
With a deeper analysis at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
And the spooks from the past at:
<http://www.Nahee.com/FOTD/>
Typical midwinter weather prevailed at Fractal Central today,
with a temperature of 28F -2C and frequent but light flurries of
snow. The fractal cat made a break-out but got caught before he
got into trouble, and was soundly scolded for his efforts. The
humans made it through the day with only one spat, which was due
to FL's testiness. My patience, approaching that of Job, kept
things under control however. The next FOTD will be posted in
24 hours. Until then, take care, and when will the over-zealous
technophiles realize that technology cannot solve all of man's
problems because it has created many of them itself?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
ThePhantomRevealed { ; time=0:00:10.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=cosxx float=y
center-mag=0/0/0.69 params=-2/2.3/1/4.6/-0.02/0/-1/0
maxiter=750 inside=0 symmetry=xyaxis periodicity=6
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WzmWzlWzlVzkVzjVziUziUzhU }
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=========================================
.
The FracTools 3.0 CD is downloadable here:
http://www.fractal-animation.net/fractools.zip
It is 365 MEG.
It took me 40 minutes to upload with my commie-cast high-speed (LOL) connection.
The FracZoom software is only 33Kb:
http://www.fractal-animation.net/fraczoom.zip
I have tons of old fractal software from the DOS '90's, including the original "Fractal Creations" CD for FractInt which is bound to be an immortal classic.
I was living in Philly at the time and they had these computer show / flea markets a few times a year.
Got lotsa good stuff then, including the complete VB6 suite for $120 !
.
> > Hal wrote:
> > <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
> > now has a February, 2013 page that's almost up to date. I'll try to
> > keep up with Jim, although some of the images I create take quite a
> > while to calculate.
> > - Hal
> >
> John wrote:
> Thank you (and Jim) very much!
> John
> jlewis(a)clara.net
> 13/02/2013
You're welcome, John.
Thanks for your enthusiasm!
- Hal Lane
########################
# hallane(a)earthlink.net
########################
FOTD -- February 19, 2013 (Rating 7.5)
Fractal visionaries and enthusiasts:
Today's image is a scene in the debris in the western part of
yesterday's fractal. Most of the expanse of the image is inside
stuff brought to life by the 'fmod' inside fill, though the more
detailed elements consist of 'outside' stuff rendered with the
'tdis' option.
All this trickery blends together to create an image that, at
least in my opinion, rates a 7-1/2, one-half point of which is a
bonus for the extra effort I put into the coloring.
The name "Erosion" is a comment on the way the scene appeared
when I first saw it, with the inside a flat black.
The calculation time of 1-1/2 minutes is brief enough to cause
no distress to those with other things to do, and slow enough to
let a bit of anticipation build.
Be a big-time thinker. View the finished image on the FOTD web
site at:
<http://www.crosscanpuzzles.com/Archives.html>
and thereby escape the need of calculating it.
Enjoy high-definition renderings at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
And check the back images at:
<http://www.Nahee.com/FOTD/>
An inch of wet slushy snow fell this morning here at Fractal
Central. The clouds continued when the snow ended, but when the
afternoon temperature reached 39F +4C the slush vanished almost
by magic. The fractal watch cat observed the big fat flakes
with interest for a few minutes, then retired to his current
favorite sleeping spot, on his blanket on top of the tall
bookcase. The humans had a typical day, though FL, who is not
feeling up to par and has work to finish, was rather testy.
The next FOTD will be posted in the right cosmic time, (if there
is such a thing). Until that hopefully eagerly awaited moment
arrives, take care, and to solve a difficult problem, become one
with the problem. (But don't ask how.)
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Erosion { ; time=0:01:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=cosxx passes=1
center-mag=-1.01074854/+0.01219294/518.3415/1/105/0
params=-2/2.3/1/4.6/-0.02/0/0/0 float=y inside=fmod
maxiter=1800 proximity=0.045 outside=tdis
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AJ7AL69M69N69P69Q69R69T69 }
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 -- February 18, 2013 (No Rating)
Fractal visionaries and enthusiasts:
The fractals I post as FOTD's are almost always scenes deep in
larger fractals that I call the parent fractal. These parent
fractals, which usually go un-appreciated, are sometimes weird
enough all by themselves to be worth FOTD status. Today's image
is one of these ridiculously weird parent fractals. It is just
crazy enough to be noticed and hopefully appreciated. (It is
filled with minibrots, one of which will be posted as the next
FOTD.)
I named the image "A Phantom Parent" because I have the
impression that the orangish valleys toward the east and west
edges of the image are parts of a larger unseen fractal that
lurks in the background but defies being brought out into the
open.
The generating expression mixes an unlikely portion of Z^(2.3)
with an equally unlikely portion of Z^(4.6), and then adds
cosxx(C), which is not a true function at all, but an early
complex-math mistake that was retained to keep the wrong images
it had created compatible with the corrected program.
With XY symmetry and a maxiter of only 750, the image is almost
instantaneous. I have listed the calculation time at 10
seconds, though on most SOTA units, the image will run in about
3 seconds.
The finished image is posted at:
<http://www.crosscanpuzzles.com/Archives.html>
with a Hi-Def version at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
and thousands of back images at:
<http://www.Nahee.com/FOTD/>
Total sun made today a brilliant midwinter day here at Fractal
Central. The temperature started at a cold 12F -11C but under
the warm sun reached a more reasonable 34F +1C in the afternoon.
The fractal cat enjoyed the afternoon sun on his window shelf,
but he still misses his companion, who shared the shelf with him
until she went to cat heaven several months ago. The humans had
a day that could have been improved upon.
The next FOTD will be posted shortly. Until we find out how
long shortly is, take care, and every economic problem seems to
hit poor people the hardest. I guess this is why poverty is so
unpopular.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
A_Phantom_Parent { ; time=0:00:10.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=cosxx float=y
center-mag=0/0/0.69 params=-2/2.3/1/4.6/-0.02/0/0/0
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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 -- February 17, 2013 (Rating 8)
Fractal visionaries and enthusiasts:
Today's image features a minibrot at its center. (Nothing
unusual there). But the minibrot is surrounded by an unusually
well-defined and decorative pattern, which gives the image a
rating of an 8.
The parent fractal consists of two crooked and widely separated
Mandelbrot sets symmetrical with respect to the X-axis and
connected by a band of debris. A kind of fractal butterfly
exists where this debris intersects the X-axis, with today's
scene lying in the debris surrounding this butterfly.
The name "Pattern in Nothing" is a comment on the abstract
nature of numbers, which are about as close to nothing as it is
possible to come -- at least in this world.
The calculation time of one minute is quite a bargain. After
all, one can certainly spend much more time than this and still
end up with nothing. But once again, the web sites come to the
rescue by saving the minute and making the image labor-free.
The finished image is posted online for instant viewing at:
<http://www.crosscanpuzzles.com/Archives.html>
High-definition variations are at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images are available at:
<http://www.Nahee.com/FOTD/>
A brisk partly cloudy day with snow flurries and a temperature
of 27F -3C kept the fractal cat as well as the fractal humans
near the heat most all day. Stuff that is more exciting did not
happen. The daily fractal journal is written to be more factual
than exciting
The next FOTD will be posted in either 24 or 48 hours. Until a
day or two, take care, and several scientists now tell us that
the universe might have come from nothing. Is this another way
of saying that God created the universe? If God does not exist,
as Atheists believe, then God must be nothing. Or am I merely
engaging in word play?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Pattern_In_Nothing { ; time=0:01:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=ident
center-mag=-0.1174897833/+0.004803/41599/1/25/0
params=1.6/1.5/0.8/3/0/0/0/0 float=y
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mmkmmjmmimmhmmfmmemmdmmcmmbmmamm`mmXmmUmmSmmUmmVmm\
XmmYmm_mmammbmmdmmfmmgmmi }
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=========================================
My January, 2013 web page with versions of Jim Muth's
FOTDs has four more FOTD images and "variations" added
to it:
http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html
I'm (very) slowly catching up...
- Hal Lane
########################
# hallane(a)earthlink.net
########################
FOTD -- February 15, 2013 (Rating 7)
Fractal visionaries and enthusiasts:
In today's image we dive into a variation of the Z^(2.5)+C
Mandeloid, checking the area of the infinitely divided main stem
that lies just east of the siamese-twin main minibrot, where we
find an area crawling with fuzzy yellow caterpillars. The name
"Hairy Caterpillars" refers to the flock of them infesting
today's scene.
The central minibrot is a quadratic one starting to morph into
an order-2.5 minibrot. The surrounding pattern is mostly
quadratic, but with breakdowns in the symmetry everywhere.
The rating of a 7 is boringly average. Even the blue-and-gold
color scheme does little for it. But the calculation time of 45
seconds is brief enough to justify expending the energy to view
just another average fractal. Visiting one of the web sites
will expend even less energy.
The finished image is online at:
<http://www.crosscanpuzzles.com/Archives.html>
Variations are posted at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The FOTD back images are available at:
<http://www.Nahee.com/FOTD/>
Today was quite pleasant here at Fractal Central, with ample
sunshine and a temperature of 46F +8C. Heavier clouds moved in
toward sunset, but by then the pleasant day was in the bag. The
fractal cat passed a good part of his day chasing catnip balls
up and down the hallway. The humans passed the day working.
The next FOTD will be posted in the proper time. Until
whenever, take care, and environmentalists are crying that
climate change is real and we must do something now to reduce
greenhouse gas emissions, such as switching to renewable energy
sources such as solar or wind energy. The same environmental-
ists are also crying that we must stop cutting down trees. I
agree with their concern, but I wonder if they have ever done
the math to see how many trees we would need to cut down to make
room for the solar panels, and-or how many bird-killing wind
generators we would need to replace our present fossil-fuel
energy sources.
IMO, the problem is the overpopulation of earth. And forget
high technology, which would ultimately fail. If we wish to
maintain our present life style, a permanent and universally
acceptable solution to the population problem does not and never
will exist. As silly as it might seem, we would have a better
chance of bringing everlasting happiness to mankind by launching
a scientific search for heaven.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Hairy_Caterpillars { ; time=0:00:45.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-3 function=recip float=y
center-mag=-3.426640077239256/+0.00001363879827702\
/4.535646e+007/1/-97.5/0 params=2.5/100/50/100
maxiter=1500 inside=0 logmap=85 periodicity=6
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zcazzczcezzgzcizzkzcmzzozcqzzszmtzzuzmvzzwzmxzzyzm\
zzzzzmzzzzzmzzzzzmzzzzzmzzzzz9zz7zz5zz3zz1zz0zz1zz\
1zz1zz2zz2zz2zz4zz5zz6zz7zz8zzAzzBzzCzzDzzEzzGzzHz\
zIzzJzzKzzPzzUzzZzzczzgzz }
frm:FinDivBrot-3 { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(imag(p2)+16), b=imag(p1), d=real(p2)+1:
z=(d)*(z*z*fn1(z^(a)+b))+c
|z| < esc }
END PARAMETER FILE=========================================
