FOTD -- February 13, 2013 (Rating 7)
Fractal visionaries and enthusiasts:
To create today's image, I combined 10 negative parts of
Z^(-1.6) with 2 negative parts of Z^(-3.7) and added (1/C) on
each iteration. When the calculation was finished, I found
myself with a parent fractal that was little more than a large
irregular open hole with Mandelbrot features along its southern
boundary and a large cloverleaf object floating inside its
northern part. I found today's scene when I checked the eastern
edge of the obviously Mandelbrot stuff on the southern boundary
of the large irregular hole.
The name "Nothing Much" describes what I found there. But
'nothing much' implies a little something, and a little
something is what we find in today's image, which is perhaps
most notable for its well-divided areas that are unusually flat.
Actually, these flat areas would have been nearly totally flat
if I had not used the 'tdis' outside option when rendering the
scene.
As it is, the image rates a nominal 7, good enough to be worth
the 2-1/4 minutes required to calculate it. Curiously, I think
this is the first image in which I have used a negative maxiter
with the 'tdis' outside.
The finished image is posted online at:
<http://www.crosscanpuzzles.com/Archives.html>
High-definition versions are at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The FOTD back images are at:
<http://www.Nahee.com/FOTD/>
A cloudy day with a temperature of 41F +5C ended with a burst of
wet snow at nightfall. The snow never amounted to more than an
inch (2cm) however, and by midnight, had ended. The fractal cat
had an average day for an indoor cat. (Indoor cats live far less
exciting but far safer lives than the stray and feral cats that
roam the area.) The humans had an average human day.
The next FOTD will be posted in approximately 36 hours. Until
then, take care, and I hear that our schools now need far more
computers and internet access in the classrooms if they hope to
do an adequate job of teaching students. But if this is so,
how, in primitive classrooms without computers, did we learn
enough to develop the present day computers that have now become
so necessary?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Nothing_Much { ; time=0:02:15.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=recip float=y
center-mag=+1.097932482367496/-1.698027822201469/\
4.926059e+008/1/140/0 params=-10/-1.6/-2/-3.7/0/\
525/0/0 maxiter=5000 inside=0 outside=tdis
logmap=-150 periodicity=6
colors=000zz0Y4nW7gUA`SDUQFNsRtM3lR5iW7f`8cdA`iCYn\
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C`oBXq9Ur8RsEOnKLjQIeWFak4df7ba9`XBZSDXNGVIITDKR9M\
QkjpZ`TZXaZUi_Ol_Io_Cq_6t }
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 web site's version of Jim Muth's FOTD images:
http://tinyurl.com/My-versions-of-Jim-Muths-FOTD
or:
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.
However, the new January, 2013 page only has a few
images on it. I'm still adding links to it.
Fortunately, all the January 2013 images without links
have been calculated and anti-aliased...
- Hal Lane
########################
# hallane(a)earthlink.net
########################
FOTD -- February 12, 2013 (Rating 7)
Fractal visionaries and enthusiasts:
Today's image is a dive into the image of February 11. The
apparently morphing minibrot at the center looks so like a
swimming duck that I had no choice but to name it "Duck Pond".
This minibrot appears to be on the way to becoming an everyday
quadratic one, but still has a way to go before passing official
inspection.
The rating of a 7 appears boringly frequently, but with a normal
bell curve distribution of fractal ratings, it is not surprising.
The calculation time of 2-3/4 minutes will seem a bit slow for
those pressed for time. The web sites can eliminate any undue
stress.
The stress-free already-calculated image is at:
<http://www.crosscanpuzzles.com/Archives.html>
Hi-def versions are at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images are at:
<http://www.Nahee.com/FOTD/>
Lots of clouds and a temperature of 39F +4C made today a typical
mid-February day in Central Pennsylvania. The fractal cat, not
at all a typical cat, passed the day watching the show passing
by his lookout window. The humans had a typical day of working,
which is easy to report but very boring to read about.
The next FOTD will be posted in 24 hours, not sooner, but very
possibly later. Until that eagerly awaited moment arrives,
whenever it may be, take care, and the earth's overpopulation
problem may indeed be solved by technology. With so many more
people being born, the chance of a super genius being born who
will invent the technology to solve the problem will continue to
increase until the birth of the genius becomes inevitable.
(I guess God will have to send the genius, since no human being
could solve our population problem.)
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Duck_Pond { ; time=0:02:45.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=ident
center-mag=+0.4486435686791/+0.0000527839348/\
1.805046e+008/1/37.5/0 params=1/3/-0.35/4/0/0/0/0
float=y maxiter=5400 inside=0 logmap=248
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YzjYzjZzjZzjZzj_zj_zZtzWs }
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 11, 2013 (Rating 7 and 9.5)
Fractal visionaries and enthusiasts:
Today's image earns two ratings, a 7 for the artistic worth and
a 9.5 for the mathematical interest. The mathematical rating
reflects the mystery of what is happening in the image. The
iterated expression subtracts 0.35 part of Z^4 from Z^3 and adds
straight C on each iteration, yet the image features a lopsided
cubic minibrot and a not-quite-critical-looking hexic minibrot,
both lying side-by-side. And to add to the mystery, the deeper
we go into the image, the closer the minibrots approach the
quadratic variety until nothing remains but the usual quadratic
ones.
The parent fractal is not all that unusual -- a Mandelbrot set
rotated 180 degrees with a hole at the terminus of every
filament. The hole at the end of the main spike, which in
today's parent points east, is unusually interesting in that it
has a well-defined valley along the positive X-axis on its east
side. Today's scene lies rather deep in this valley.
The artistic part of the image reflects my increasingly cynical
and depressing view of the modern world we have created for
ourselves. As the years pass, I find depressing deep blue
colors creeping ever more often into my images, such as those
that abound in the outer parts of today's scene.
The name "Something Else is Wrong" expresses my feelings when I
saw the two incompatible minibrots lying side-by-side in the
same area of the same parent.
The terraced effect was achieved by rendering the image with the
'outside' parts set to 'tdis', a setting that is quite effective
at adding life to images that appear dead with the outside set
to 'iter'.
The calculation time of 2-1/4 minutes might appear slow to those
with only marginal interest in fractals. The web sites can make
fractals much more interesting for these few.
Check the completed image at:
<http://www.crosscanpuzzles.com/Archives.html>
and high-definition variations at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
and the thousands of back images at:
<http://www.Nahee.com/FOTD/>
Early morning rain ended by 9am here at Fractal Central today,
but the heavy clouds and fog hung on for most of the day, while
the mild temperature of 45F +7C improved things only a little.
The fractal cat passed most of the day sleeping, an activity
that is hard to make interesting. The humans passed the day
working, an activity that is equally uninteresting to report.
The next FOTD will be posted when it is ready, which most likely
will be sometime tomorrow. Until that glorious moment arrives,
take care, and let's pass a law banning all disagreement.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Something_is_Wrong { ; time=0:02:15.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=+0.4486436381/+0.00005502463/72716.29/1\
/-107.5/0 params=1/3/-0.35/4/0/0/0/0 float=y
maxiter=3000 inside=0 outside=tdis sound=off
colors=00000D00E00G00H00J00F00D00B0090070050GV00B0\
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dkkcmmbnpaps`qv_aQ8bSAcUB }
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 09, 2013 (Rating 6)
Fractal visionaries and enthusiasts:
NEW FORMULA ALERT!
-----------------------------------------------------------
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 }
-----------------------------------------------------------
The new formula, FinDivBrot-3, is a minor generalization of the
FinDivBrot-2 formula that I use often. But this is the first
time I have used the FinDivBrot-3 formula for an FOTD.
Today's image lies in the remains of Scepter Valley of the large
minibrot on the main spike of its oversized parent Mandelbrot
set, which is corrupted just beneath its surface by Z^11
energies.
The rating of a 6 indicates an image FOTD lacking in impact, but
it's all I could give the contrived image whose main attraction
is an unusually symmetrical order-11 minibrot and few carefully
tweaked color registers.
I named the image "Jewel of the Fractal", a name that promises
more than the image delivers. Luckily, the calculation time of
a fireball 30 seconds will leave little time for anticipation to
build, holding the disappointment to a minimum.
Today's finished image is posted at:
<http://www.crosscanpuzzles.com/Archives.html>
Hi-def renderings are available at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images and discussions are available at:
<http://www.Nahee.com/FOTD/>
As expected, the talk of a superblizzard proved to be all hype,
at least for the Fractal Central area, where we picked up a
whopping 1 inch 2.5cm of slushy snow overnight. Today was
partly cloudy and breezy with a temperature of 30F -1C. The
fractal cat, who never panics when superstorms are predicted,
had another calm day as he sought and found the warmest spots in
the house. The humans had a day of antiquing near Harrisburg,
where we picked up some bargain books and CD's. Yes they do
still exist.
The next FOTD will be posted, who knows when. My best guess is
within 24 hours. Until that mysterious 'when' arrives, take
care, and regardless of the problem, be assured that higher
technology will be called upon to solve it and might actually
work for a while.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Jewelof_theFractal { ; time=0:30:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-3 function=recip
center-mag=-17.75145971129946/+0.02607765322928155\
/6.44325e+011/1/35/0 params=11/10000/1000/1000
float=y maxiter=275 inside=255 logmap=20
periodicity=6 mathtolerance=0.05/1
colors=000zhUiDMuGRcAJN5B603A45E77HA9LDAOGCSJEVMFQ\
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oqntryxfdqVKjK0cXLhiemzzz }
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=========================================
FOTD -- February 08, 2013 (Rating 7)
Fractal visionaries and enthusiasts:
Today's image shows a quadratic minibrot surrounded by its
typical bifurcating pattern of elements. But wait! Something
is wrong. The minibrot must be some kind of circus freak. It
bears very little resemblance to a typical quadratic minibrot.
The reason is that it is not a pure quadratic minibrot. The
minibrot has been caught in the process of morphing from a
quadratic to an order-11 one.
On its surface, the parent fractal, once you back out far enough
to see all of it, is a hugely oversized Mandelbrot set. But in
its depths, it is corrupted by order-eleven energies. Today's
image lies in an elephant trunk on the south shore line of the
parent, at a depth where the order-eleven corruption is just
beginning to wreak its havoc on the minibrots.
Finding nothing really outstanding in the image, I could rate it
no higher than a hum-drum average 7. The colors are blended
smoothly enough, but at least in my opinion, they lack harmony.
The name "Something is Awry" describes the hopelessly corrupted
minibrot at the center. The calculation time of only one minute
is quite brief however, and will cause little frustration for
those who feel the image has laid an egg.
The finished image is posted online at:
<http://www.crosscanpuzzles.com/Archives.html>
High-definition renderings of the FOTD images are posted at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images are available at:
<http://www.Nahee.com/FOTD/>
Heavy clouds prevailed all morning here at Fractal Central,
making the ominous media forecast of a super-blizzard seem all
the more ominous. But as of post time, the temperature is a
rather balmy 37F +3C and nothing has yet fallen from the clouds.
I'm beginning to suspect another gross exaggeration from the
profit-driven weather media. The fractal cat must agree. All
day, he has been notably unconcerned with the weather. The
humans are mildly concerned, but expect little more weather
action than a mildly inconvenient inch or two of slush, if even
that.
The next image will be posted in a couple days, but with nothing
guaranteed. Until whenever, take care, and we should be ready
to accept the truth even when it proves to be something we do
not want.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Something_is_Awry { ; time=0:01:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MultiExp function=recip passes=1
center-mag=+317.7624490652465/-32.17560651252315/\
3760/1/-100/0 params=11/1000 float=y maxiter=1500
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H2zJ3zL3zN4zQ4zS5zU5zW6zZ }
frm:MultiExp { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
b=imag(p1)+0.00000000000000000001:
z=z*z*fn1(z^(a)+b)+c
|z| < 100000000 }
END PARAMETER FILE=========================================
FOTD -- February 07, 2013 (Rating 7)
Fractal visionaries and enthusiasts:
Today's image lies in the parent fractal that was generated when
I combined 1.8 negative parts of Z^(-5.6) with 4.4 negative
parts of Z^(-1.9) before adding (1/C) on each iteration. This
parent is a NE-SW oriented string of large bays with debris
clogging the SW bay. Today's scene is located on a branch of a
'star' on a filament extending from a small bud on the SE shore
line of the large central bay of the parent fractal.
The rating of a 7 indicates that I have seen a few too many
similar images.
The name "The Monkey Puzzle" refers to the intricate network of
filaments and tendrils radiating from the central minibrot. (It
is also the name of a decorative tree native to Chile.)
The near average calculation time of 4 minutes can be eliminated
by surfing to one of the FOTD web sites.
The image has already been calculated and is posted at:
<http://www.crosscanpuzzles.com/Archives.html>
with the augmented renderings at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The FOTD back images are online at:
<http://www.Nahee.com/FOTD/>
Morning clouds with flurries of snow gave way to a sunny
afternoon here at Fractal Central today. After the recent cold
and snowy weather, the temperature of 37F +3C actually felt like
spring. The fractal cat acted like it was spring, spending
several hours in the afternoon sun. The humans spent the day
doing boring, routine, but necessary things.
The next FOTD will be posted in the near future. Keep checking
back, and before you know it, the fractal will be there. Until
whenever, take care, and I'm all for clean solar energy, but
where would we put the thousands of square miles of solar panels?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
The_Monkey_Puzzle { ; time=0:04:00.00 SF5 at 2000MHZ
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formulaname=MandAutoCritInZ function=recip float=y
center-mag=+0.8175847835908/+0.2233739092024/2.470\
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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 05, 2013 (Rating 7.5)
Fractal visionaries and enthusiasts:
Today's image is based on the combination of 4.71 parts of Z^3
and 3.14 parts of Z^4. The parent fractal produced by this
unlikely combination is an undersized Mandelbrot set with two
open areas some distance to the west. Today's scene lies on the
north shore of the southern open area, near what appears to be a
mostly-obscured rudimentary East Valley trying to get organized.
The buds along this rudimentary valley are not yet fully formed,
but appear to be of a cubic nature.
The image's stripes were achieved by rendering the image with
the outside set to the 'tdis' option.
The colors themselves are based on the Fractint default palette,
though I have made many changes in this not-very-attractive
color scheme.
The name "Night Watch" is a comment on the overall darkness
pervading the scene.
The rating of 7-1/2 is as good a guess as I could make about the
final value of the image. Any rating excess is made up for by
the very fast calculation time of around one minute.
But fractal calculation can be tedious. So be smart and avoid
calculation altogether by viewing the finished image at:
<http://www.crosscanpuzzles.com/Archives.html>
Sharper renderings are or soon will be online at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images are posted at:
<http://www.Nahee.com/FOTD/>
About 3/4 inch (2cm) of snow fell overnight here at Fractal
Central, but the high temperature of 34F +1C had disposed of it
by mid-afternoon. The fractal cat kept careful watch over the
situation, then, when he saw that everything was under control,
retired to his blanket on top of the tall bookcase. The humans,
who also prefer things to remain under control, spent the day
keeping them that way.
The next FOTD will be posted when it is ready, with no promises
stated or implied. Until next time, whenever that may be, take
care, and if technology is making our lives ever better, why are
so many people so unsatisfied with their lives?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Night_Watch { ; time=0:01:00.00 SF5 at 2000MHZ
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formulaname=MandAutoCritInZ function=ident float=y
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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=========================================
.
Do any of you get bombarded with 2 dozen emails per day from that Phrench A-hole sebastien helie or is it just me?
I wouldn't mind if he could speak English and it wasn't such nonsense.
Sheeeesh!
.
FOTD -- February 04, 2013 (Rating 7.5)
Fractal visionaries and enthusiasts:
Let the banners wave, the trumpets blare and the fireworks
explode! I'm back with another semi-glorious fractal, this one
located in one of the several East Valleys of the 'Zexpe'
fractal as it appears 10 levels down the hyperladder with no
function applied.
The image rates a mildly impressive 7-1/2, but a good part of
this is due to the coloring, on which I spent over 1/2 hour.
Without the fiery color scheme, the image would be just another
chaotic fractal.
The name "Epsilon Afire" refers to both the exponent of Z and
the fiery colors of the image. The calculation time of four
minutes is about average, but the trip to one or all of the web
sites is still worth the minor effort.
Check the finished image on the FOTD web site at:
<http://www.crosscanpuzzles.com/Archives.html>
And thrill to the glories of the high-definition renderings at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
though I'm not sure Hal is caught up quite yet.
The FOTD back images are online at:
<http://www.Nahee.com/FOTD/>
Typical midwinter cold continued here at Fractal Central today,
with partly cloudy skies and a temperature of 30F -1C. The
forecast is for another dusting of snow tonight, which will be
about the fourth dusting in the past week. The fractal cat took
a few glances out the window, but spent most of the afternoon
sleeping on his blanket on top of the tall bookcase. The humans
had an everyday afternoon.
The next FOTD will be posted when things are right, the most
favorable time being tomorrow around this same time. Until
whenever, take care, and Hooray! Our team held on to win the
Stuporbowl!
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Epsilon_Afire { ; time=0:04:00.00 SF5 at 2000MHZ
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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=========================================
