FOTD -- August 12, 2013 (Rating A-7,M-5)
Fractal visionaries and enthusiasts:
Today's dark moody image is a slight improvement over
yesterday's, but still leaves much room for further improvement.
The scene lies in the East Valley of the largest minibrot on the
west branch of the filament extending from the large period-3
bud on the northeast shore line of the main bay of the
(-Z)^(1.5)+C Mandeloid.
The name "Smickey Algebro" means whatever the fractalist wishes.
To me it is a fun trick to get people to try to find a meaning
that does not exist.
The calculation time of 2-3/4 minutes is more than the image is
really worth. To save effort, I recommend visiting one of the
web sites.
Freedom from calculation may be found at the following web sites:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
A mix of sun and clouds, reasonable humidity and a temperature
of 86F 30C made today quite pleasant here at Fractal Central.
Nicholas, the fractal cat, spent the afternoon as a lump under
a chair cover. The humans spent the day doing human things.
The next FOTD is due to be posted in 24 hours. It might make
it; it might not. Until whenever, take care, and I wonder where
the music went.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Smickey_Algebro { ; time=0:02:45.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot5 passes=1
center-mag=+0.5728187623328764/+1.220849119432405/\
2.601307e+009/1/90/0 params=0/0/0/0/0/0/0/0/1.5/0
float=y maxiter=1350 inside=0 logmap=425
periodicity=6 mathtolerance=0.05/1
colors=000YXYWVVTSTQPQONNLKLIIIGFFDCDAAA877555000s\
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zkBzhAze9zb9z_8zX7zU7zR6zO5zU4zU4zU3zU2zK2zK1zU0zt\
uzqrznozlmzijzggzdezabz__ }
frm:SliceJulibrot5 {; draws all slices of Julibrot
pix=pixel, u=real(pix), v=imag(pix),
a=pi*real(p1*0.0055555555555556),
b=pi*imag(p1*0.0055555555555556),
g=pi*real(p2*0.0055555555555556),
d=pi*imag(p2*0.0055555555555556),
ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
sg=sin(g), cd=cos(d), sd=sin(d),
p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9
c=p+flip(q)+p3, z=r+flip(s)+p4:
z=(-z)^(real(p5))+c
|z|< esc }
END PARAMETER FILE=========================================
FOTD -- August 11, 2013 (Rating A-5,M-5)
Fractal visionaries and enthusiasts:
Today's image is a diversion, a harmless interlude between
greater things. At least I hope so. The parent fractal is an
open circle with a triangular mass inside. Today's image lies
near the terminus of a filament extending from a bud on the
southwest edge of this mass.
The image is a not-particularly-attractive mix of flat disks,
which I have tried to bring to life with the 'tdis' outside
option . . . with only mild success.
The name "Abnabiab" sounds important but means absolutely
nothing. It simply popped into my head as I pondered a possible
name. My disappointment with the image is made clear by the art
and math ratings of a below-FOTD-average 5.
The day is almost saved however by the very fast calculation
time of 45 seconds. If one is to be disappointed, it is best to
have put as little time as possible into creating the failure.
And the web sites are always there as an alternate way of
viewing the image.
The finished image is available in various guises on the
following FOTD web sites:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
Today brought a mix of clouds and sun to Fractal Central, with a
temperature of 79F 26C. A little more sun would have produced a
perfect day. The fractal cat passed the afternoon as a lump
under a cover on an overstuffed chair. The humans made it
through the day with no notable problems.
The next FOTD will be posted in an appropriate length of time.
Until whenever this might be, take care, and when a culture
loses its wisdom, it is no longer wise enough to realize what
it has lost. (And technology can substitute for only a limited
time.)
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Abnabiab { ; time=0:00:45.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=ident
center-mag=-0.1269907412213486/-1.050448835516018/\
5.267368e+012 params=1/-33/-1/-3/0/0/0/0 float=y
maxiter=1200 inside=0 outside=tdis
periodicity=6 mathtolerance=0.05/1
colors=000VI`UOXTUSS_OReKUbJX`IUXHRUHPRHMNGKKGHHGF\
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eUHZV2ZS3ZQ4ZO5ZL6ZJ6ZH7ZE8ZC9ZAAZ8A_9B_AB_BB_CC_D\
C_EC_FD_GD_GDWLGTQJQULWCd }
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 -- August 09, 2013 (Rating A-5,M-6)
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.
Check the finished images at:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
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(a)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
colors=0006lnj2Oh4Mg6Kf8IeAGcCEbECaGA`H8aI7aJ6aJ5a\
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iOXiNYiMZiL_iL_iK`iJaiIbiHciGdjGdLLOJLNHKMFJLDJKBI\
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=========================================
FOTD -- August 08, 2013 (Rating A-8,M-8)
Fractal visionaries and enthusiasts:
Today's image shows the center of what I consider the best
anti-minibrot yet. The location of the action is in a seahorse
tail on the east edge of the north branch of Seahorse Valley of
the parent Mandelbrot set. An everyday Mandelbrot minibrot
would normally lie in this area, but it has been obliterated by
the tiny bit of Z^(-4) stuff infesting the entire parent fractal.
The image clearly shows the center of the hill of anti-
bifurcation, the peak of which is actually a seamount lying
quite a distance (467 iterations) undersea. A quick count will
show the anti-bifurcation, which increases from the inside out.
The name "Almost the Best" shows that I consider the image to
show continued improvement, while always leaving room for
further improvement. The art and math ratings concur with this
opinion.
The calculation time of 10-1/2 minutes is slow, I admit it. But
relief is at hand on any of the FOTD web sites.
To view the image without the task of calculating it, check one
of the following web sites:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
Heavy clouds again blocked the sun today here at Fractal
Central, while the temperature of 81F 27C kept things reasonably
comfortable. The fractal cat forgot the lack of sun as soon as
I produced the laser pointer and gave him a good chase that soon
had him panting in exhaustion. The fractal people, who were not
panting in exhaustion, had one more typically busy day.
The next FOTD will be posted when humanity achieves immortality,
or possibly a little sooner. Until this happens, take care, and
I hear that some people expect that by the year 2045 we will be
able to download our conscious self-aware unique selves,
complete with our varied emotions, into robot-like machines that
will endure indefinitely, granting virtual immortality.
This appears well enough, but I wonder exactly what information
we will download into the robot machines. I also wonder if
immortality will be for everyone, rich and poor alike, or only
for those wealthy enough to pay for the process, which obviously
will be hugely expensive. If immortality will be only for the
wealthy, how will the impoverished feel? Will the common people
simply sit idly by and watch the wealthy allow them and their
loved ones to die, while the wealthy reserve immortality only
for those they deem worthy (that is with enough money) to live
forever? Or will there be a revolution against the wealthy that
would put an end once and for all to privileged-class thoughts
of immortality?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Almost_the_Best { ; time=0:08:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=-0.7444863811241328/+0.1622564474808734\
/1.895244e+010 params=1/2/1e-025/-4/0/0/0/0 float=y
maxiter=1500 inside=255 logmap=-470
periodicity=6 mathtolerance=0.05/1
colors=000SkkSjgSjdUi`miYghUbhR_gNWgKSfGSfDSe9Se6R\
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HQMHQOGQQFRTFRVERXERZGSaIScKTeMTgOUiQUkSUmUVoWVqYW\
s_Wu`Ww_Zr_amZdhZgcYjZYmU }
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 -- August 07, 2013 (Rating A-8,M-8)
Fractal visionaries and enthusiasts:
Today's image shows what I consider to be the best example yet
of an anti-minibrot. It lies in the debris in a tiny minibrot
on the north shore of East Valley of the parent Mandelbrot set.
The name "Better Yet" implies that even better anti-minibrots
may be yet to come. The art and math ratings of 8 indicate that
I consider both aspects of the image to be above normal.
The calculation time however is a dragging 10 minutes. This
delay may be bypassed by viewing the image on one of the web
sites.
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
Heavy clouds hung on all day here at Fractal Central today,
though it remained dry. The temperature of 75F 24C would have
seemed better if there had been sun. The fractal cat slept
through most of the day, while the fractal humans kept busy
doing human things.
The next FOTD will be posted in a number of hours. Until that
ambiguous length of time passes, take care, and if nothing, not
even light, can escape from a black hole, how does the gravity
get out to pull everything into the hole?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Better_Yet { ; time=0:10:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=+0.2927628248663804/+0.015094370223889/\
7.020676e+009/1/-35/0 params=1/2/1e-016/-2/0/0/0/0
float=y maxiter=1600 inside=0 logmap=-300
periodicity=6 mathtolerance=0.05/1
colors=000fSoaPlXLjSIhNFeIBcD8`85Z32XHDWUOWmTTfYW`\
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oqapqaqq`qq_rq_sqZtqZtkVq }
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=========================================
This zoom into the parent of Jim's FOTD for August 4th, 2013:
http://www.emarketingiseasy.com/TESTS/FOTD/2013/F130804W.jpg
was under-iterated when I used Jim's FOTD maxiter of 1,000.
Here's the same fractal with maxiter=10,000:
http://www.emarketingiseasy.com/TESTS/FOTD/2013/F130804V.jpg
Method for Comparing the Differences Between Two Images
-------------------------------------------------------
Here's a nifty way to compare the difference between two different versions
of a fractal or other pair of similar images:
Put the two different images into adjacent tabs in your browser. I do this
by right clicking each link and choosing "Open link in new tab".
If your browser has scaled the images down to fit your browser window, click
the upper left corner of each image once -- to keep your browser from
resampling (and possibly repositioning) the images. Then quickly alternate
between viewing each of the two images in their respective tabs. This lets
you see differences in the images quite clearly, by using the eye's
sensitivity to motion.
Many browsers accept the key combination <ctrl><n> to view their <n>th tab.
Using the keyboard allows you to not have to move your gaze away from the
images to aim your cursor at each of the two tabs to click on them.
I'm able to hold down the <ctrl> key and alternately press the "3" and "4"
keys (or wherever the two tab's locations are) to "blink" back and forth
between viewing each of the two different images. The differences between
the images literally jump out at you.
I got this idea from the method used by Clyde Tombaugh to discover Pluto.
He blinked between viewing two different photographic plates of the night
sky taken on successive nights. Pluto moved as the photos were blinked.
The instrument he used to do this is called a "blink microscope."
This "blink" method is not limited to fractal image comparison. It can be
used to compare of any pair of images with slight differences. For example,
one could compare the change in quality of two or more versions of the same
image saved with differing amounts of JPEG compression.
If you're a member of the [Fractint] email list serve, please let me know
whether you're able to "blink" a pair of images from my description above.
Thanks,
- Hal Lane
########################
# hallane(a)earthlink.net
########################
FOTD -- August 05, 1013 (Rating A-8,M-9)
Fractal visionaries and enthusiasts:
Today's image bears an artistic rating of 8 and a math value of
9. This is because it is the most spectacular anti-minibrot I
have yet found, a fact that obviously also inspired its name.
The image shows the exact opposite of a minibrot, or what I call
an anti-minibrot. Instead of a basin at the center, the image
has a hill; while instead of doubling in number as the center is
approached, the number of elements is cut in half.
The scene lies in left-over debris cluttering a minibrot that
lies rather deep in an elephant trunk of East Valley of the
parent fractal, which on the surface is an everyday Mandelbrot
set, but in its depths is corrupted by quintic energies.
Except for a minor tweaking of one register, the extremely busy
color palette was created by a random strike of the <enter> key.
The calculation time of 1-1/2 minutes is fast enough for most
fractalists, but a bit of time may still be saved by checking
the web sites.
Various renderings of today's image are posted on the following
web sites:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
Today brought increasing clouds and a temperature of 75F 24C to
Fractal Central. The fractal cat noticed the gradually
weakening sun; the humans noticed the work.
The next FOTD will be posted when I get a round tuit. Until the
tuit appears, take care, and the rest of the world knows that
the people in the U.S. are a bunch of gun-loving fast-shooting
racists. But why then did we racists twice elect a black
president by such a sizable margin?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Anti-Minibrot { ; time=0:01:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-2 function=recip passes=1
center-mag=+0.3007751526060126/-0.0201684395807311\
/2.544126e+010/1/47.5/0 params=5/1000000000000.0\
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5W0CS0AP09M08J07G06C04903 }
frm:FinDivBrot-2 { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }
END PARAMETER FILE=========================================
In Jim's FOTD for August 4, 2013, many features which are
hidden in the chaotic areas of the original image, pop into
visibility in the anti-aliased version.
Original:
http://www.emarketingiseasy.com/TESTS/FOTD/2013/F130804.gif
Anti-aliased:
http://www.emarketingiseasy.com/TESTS/FOTD/2013/F130804J.jpg
Method for comparing the differences between two images:
--------------------------------------------------------
Here's a nifty way to compare the difference between the anti-aliased and
non-anti-aliased versions of the fractal:
Put the two different images into adjacent tabs in your browser. I do this
by right clicking each link and choosing "Open link in new tab".
If your browser has scaled the images down to fit your browser window, click
the upper left corner of each image once – to keep your browser from
resampling (and possibly repositioning) the images. Then quickly alternate
between viewing each of the two images in their respective tabs. This lets
you see differences in the images quite clearly, by using the eye's
sensitivity to motion.
Many browsers accept the key combination <ctrl><n> to view their <n>th tab.
Using the keyboard allows you to not have to move your gaze away from the
images to aim your cursor at each of the two tabs to click on them.
I'm able to hold down the <ctrl> key and alternately press the "3" and "4"
keys (or wherever the two tab's locations are) to "blink" back and forth
between viewing each of the two different images. The differences between
the images literally jump out at you.
I got this idea from the method used by Clyde Tombaugh to discover Pluto.
He blinked between viewing two different photographic plates of the night
sky taken on successive nights. Pluto moved as the photos were blinked.
The instrument he used to do this is called a "blink microscope."
This "blink" method is not limited to fractal image comparison. It can be
used to compare of any pair of images with slight differences. For example,
one could compare the change in quality of two or more versions of the same
image saved with differing amounts of JPEG compression.
If you're a member of the [Fractint] email list serve, please let me know
whether you're able to "blink" a pair of images from my description above.
Thanks,
- Hal Lane
########################
# hallane(a)earthlink.net
########################
FOTD -- August 04, 2013 (Rating A-7,M-8)
Fractal visionaries and enthusiasts:
Today's scene shows what I call a 'hill' of anti-bifurcation
situated inside the second bud of the north radical of the large
minibrot on the main stem of the tiny parent M-set. The
generating expression adds an infinitesimal amount of Z^(-2.2)
to 100 parts of Z^2, producing a tiny Mandelbrot set with
left-over debris at the center of the buds. The fractional part
of the exponent has generated a discontinuity in the northeast
part of the image.
As the name implies, there are "No Minibrots Here". At least, I
have not yet found any in the area, though similar 'hills'
abound.
The artistic rating of a 7 indicates average worth, while the
math rating of an 8 indicates exceptional mathematical value.
In fact, the 'hill' is one of the finest I have yet stumbled
upon.
The calculation time of 1-1/2 minutes is fast enough to keep
impatience at bay. And the finished image is always available
on the FOTD web sites.
The finished image is or soon will be posted on the following
web sites:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
Near perfect midsummer weather prevailed here at Fractal Central
today, with photoshop blue skies, cotton-candy clouds and a
temperature of 77F 25C. The fractal cat enjoyed the conditions
while sleeping in the laundry basket. The fractal humans
enjoyed the fractal cat enjoying the conditions while sleeping
in the laundry basket.
The next FOTD will be posted when I find it and write about it.
Until that glorious moment arrives, take care, and show the
world that your pet conspiracy theory is true.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
No_Minibrots_Here { ; time=0:01:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=-0.01757933078094727/+0.000158504568805\
81/1804502/1/75/0 params=100/2/1e-016/-2.2/0/0/0/0
float=y maxiter=1000 inside=0
periodicity=6 mathtolerance=0.05/1
colors=000AmNDPDf97c86a76Z66X55U45S45P35N24K14I04Y\
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8rcimZchUZcPUZKPUFJPAEK59 }
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 -- August 02, 2013 (Rating A-7,M-7)
Fractal visionaries and enthusiasts:
In today's image we add only 0.000000000000000000000000000001
part of Z^(-5) to 100 parts of Z^2. The resulting tiny M-set
still has a few remnants of the negative exponent lurking in the
depths of its buds. Today's scene lies in a bit of this
leftover debris in the center of the main bud of the large
minibrot on the main spike of the tiny parent M-set.
I rated both the art and math interest at a 7, making the image
notably average.
I leave it to the individual fractalist to decide whether the
name "Reasonable Result" accurately describes the image.
There is nothing super spectacular about the image, but it
renders in a mere 30 seconds, making the calculation a breeze.
The fickle winds can be avoided by checking the image on one of
the web sites.
The image is or soon will be posted on the following web sites:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
The day began pleasant enough here at Fractal Central, with blue
skies and white cottonball clouds, but heavier clouds moved in
during the afternoon and the humidity increased, making the
temperature of 82F 28C feel a bit muggy. The fractal cat, now
over 10 years old, crawled under a slip cover and spent the
afternoon appearing as little more than a breathing lump, while
the fractal humans made it through another day with nothing
going wrong.
The next FOTD will be posted on a day in the near future. At
this time the best bet is August 04. Until whenever, take care,
and even when a person knows something, there is no guarantee of
its truth.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Reasonable_Result { ; time=0:00:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=-0.01773008927479706/0/8.195031e+012
params=100/2/1e-030/-5/0/0/0/0 float=y maxiter=1000
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kz0oz0oz6ozErzMrzWtzctzkt }
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=========================================
