I've uploaded and added links for my variations on Jim's
FOTDs for approximately the last half of December, 2013.
I only have three days of images remaining to anti-alias,
upload and put links to on my December page, and I'll
be completely caught up!
Again, thanks for navigating through my home page:
http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html
As always, be sure to view the images full size. Otherwise,
your browser will resample the images. On many of the GIFs,
single pixels can disappear or be greatly dimmed if your
browser resamples the images. The effects of resampling
are not quite as stark on the JPG images, but it still
compromises the quality I work to create.
Comments welcome.
- Hal Lane
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FOTD -- August 01, 2014 (Rating A-7,M-7)
Fractal visionaries and enthusiasts:
Today's scene lies in the same parent fractal as the previous
two FOTD images. It is located in a fractured spiral on the
main bay side of the northwest branch of the valley serving as
the gateway to the squashed bug's head. The view to the east
from this point is water all the way to the horizon, which is
why I named the image "An Ocean View".
The spiralling energies in the area are apparent, though with
the fractional exponent of Z, which is 1.75, these arms are well
broken up.
In my opinion, both the art and math aspects of the image rate a
7 -- good enough to earn FOTD status but not enough for the
cigar.
The calculation time of 6 minutes definitely drags, but
calculation may be avoided by checking the web sites.
For convenience, the image has been calculated and posted to:
<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 clouds and sun and a temperature of 84F 29C kept today
on the pleasant side here at Fractal Central. The next FOTD
will be posted in about two days. Until then, take care and
beware.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
An_Ocean_View { ; time=0:06:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident passes=1
center-mag=-0.7147163078573494/-0.2245693444358739\
/2.857437e+009/1/-67.5/0 params=1.75/0/7/0 float=y
maxiter=2700 inside=0 logmap=670 periodicity=6
colors=000mRYmTYmUZmVZmU_mT_mS`mR`mQ`mPamPamOamNbm\
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cI5cO5mT5mZ4md4mi3mo3mt3ms6mszmszmszmszzszzszzszzs\
zzszzszzszzszzszzszzszztz }
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 -- July 31, 2014 (Rating A-7,M-5)
Fractal visionaries and enthusiasts:
Today's image lies in the same squashed-bug parent as
yesterday's, but instead of being located in the bug's head,
today's image lies in a valley of a large disconnected minibrot
just northeast of the main body of the parent.
This valley has two totally dis-similar sides, a peculiarity
that is reflected in today's image with its large sinuous areas
and contrasting smaller areas of angular chaos.
The name "On the Other Side" refers to the location of the scene
in the parent fractal. The art rating of a 7 shows that I
consider today's image to be somewhat of an improvement over
yesterday's, while the math rating of a 5 shows that the math
trick is old hat.
The calculation time of a dragging 4 minutes may be eliminated by
checking the web sites.
The finished image is posted 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>
A mix of clouds and sun with a temperature of 81F 27C made today
another rather pleasant one here at Fractal Central. The
fractal cats and humans had an uneventful afternoon, which was
pleasant to experience but makes boring reading.
The next FOTD will be posted sometime next month, maybe as soon
as tomorrow. Until whenever, take care, and sometimes the
losers of battles turn out to be winners.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
On_The_Other_Side { ; time=0:04:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident passes=1
center-mag=+1.130133599894878/+0.5911035952324553/\
9.316793e+008 params=1.75/0/7/0 float=y maxiter=1750
inside=0 logmap=-473 periodicity=6
colors=000A0WA1UA2SA3RA4PA5NA6M97K88I8AH9BMADQBFVC\
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zBVzBUzBTzBTzBSzARzARzAQz`FzgCzoAzv8zkBzaDzRGzHIzK\
KzNMzQOzSQzVSzYUz`WzbXzdV }
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 -- July 30, 2014 (Rating A-6,M-6)
Fractal visionaries and enthusiasts:
Today's fractional-value minibrot scene lies in the parent
fractal that results when the expression Z^(1.75)+C is iterated
7 levels up the complex logarithmic hyperspiral. This parent
resembles nothing more than a squashed bug with its head facing
southwest, but not wanting to turn off potential viewers, I
named today's FOTD "Countdown to Earth", which has little if
anything to do with the appearance of the image.
The scene is located in a valley leading to a small bud on the
southwest side of the bug's head.
The math and art aspects both rate a 6. I could find nothing
really new in the image.
The calculation time of 3-1/4 minutes is rather slow. The web
sites can speed up the viewing pleasure however.
Check the finished image at the web sites without the
inconvenience of calculating it. The web sites may be accessed
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>
A pleasant mix of sun amd clouds with an equally pleasant
temperature of 77F 25C made today here at Fractal Central fit
for a king. With no king in the vicinity, the day was enjoyed
by the fractal cats and humans (cats always coming first, of
course).
The next FOTD will be posted in the appropriate time. Until
then, take care, and live with honor but don't get preachy.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Countdown_to_Earth { ; time=0:12:03.87 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident passes=1
center-mag=-0.952052728739694/-0.7263908032093859/\
1319932/1/65/0 params=1.75/0/7/0 float=y
maxiter=3600 inside=0 logmap=279 periodicity=6
colors=000C8ZD9ZEAZFBZGCZHDZIEZJFYKGYMIYOKYQMYSOYU\
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ZzUWzUSzUPzUxznszlozkkzjgzhczg_zfWzdSzcOzbKz`_zoaz\
oczneznfzmhzmjzllzlnzkpzk }
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 -- July 25, 2014 (Rating A-7,M-2)
Fractal visionaries and enthusiasts:
The low rating of the math part of today's image indicates that
the expression Z^2+C, which creates the Mandelbrot set as well
as today's image, is perhaps the oldest one in the fractal book.
The scene lies in a minor valley of a small bud on the western
edge of the large period-3 bud on the north shore of the main
bay of the M-set.
The name "Peaches and Plums" refers mostly to the peach-like
colors of the circular basins surrounding the central minibrot.
The calculation time of <30 seconds is true when the image is
calculated with conventional math. Switching to arbitrary
precision math produces an image with slightly better
resolution, though instead of seconds, the calculation time will
be hours. But as always, such monumental decisions may be
avoided by viewing the finished image on the web sites.
The finished image is posted online 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>
Another picture-postcard-perfect day passed quietly here at
Fractal Central today. The fractal cats fully enjoyed the
temperature of 77F 25C, while the fractal humans enjoyed the
photoshop blue skies and white cottonpuff cumulus clouds.
The next FOTD will be posted before the world's oldest and most
difficult question is answered. Until whenever, take care, and
that question is why an all-good, all-powerful and all knowing
god permits bad things to happen to good people.' Denying that
God exists is an evasion of the question, not an answer.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Peaches_and_Plums { ; time=0:00:30.00 SF5 at 2000MHZ
reset=2004 type=mandel passes=1 params=0/0 float=y
center-mag=-0.2279009890028485/+0.745201931711522/\
7.180087e+012/1/55/0 maxiter=50000 inside=0
logmap=7013 periodicity=6 mathtolerance=0.05/1
colors=000AAcAAcAAcAAbAAbAAaAAaAA`AA`AA_AA_AA_AAZA\
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bzhbzhazh`zh`zh_ziZziYziY }
END PARAMETER FILE=========================================
FOTD -- July 28, 2014 (Rating A-7,M-7)
Fractal visionaries and enthusiasts:
Today's image lies at the northern edge of the parent fractal
that results when 5.5 negative parts of Z^(-2.3) are combined
with 1.6 negative parts of Z^(-6.1) and (1/C) is added on each
iteration. This unlikely and admittedly whimsical combination
produces a fractal that resembles a panda bear lying on its left
side, with today's image located on the outer edge of its right
ear.
I named the image "The Blues on Parade" not because I am in a
particularly depressed mood but because of the preponderance of
blue shades in the scene.
Most of the artistic effect was achieved by rendering the image
with the 'tdis' outside option turned on, resulting in a rating
of a 7. The math aspect also rates a 7 even though today's
trick is over 12 years old.
The magnitude of 7*(10^12) is somewhat beyond the limit of
perfect resolution, but at least in my opinion, the slight
breakdown actually improves the appearance.
The image is a fast one, finishing in one minute or so on all
but old leftover machines from the last century. Fractal fans
with these technological anachronisms may enjoy the finished
image on the FOTD web sites at:
The glorious finished image is posted online 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>
A mix of clouds and sun, with a temperature of 77F 25C and a
lively breeze from the west made today quite acceptable here at
Fractal Central. The fractal cats enjoyed their comfort as they
took turns sleeping and watching pigeons. The fractal people,
with other things to do, had no time to sleep or watch pigeons.
The next FOTD will be posted in the near future. Until that
moment of awe and wonder arrives, take care, and the news of the
world's events is less stressful to experience when one has a
neutral standpoint.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
TheBlues_on_Parade { ; time=0:01:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=+0.4271099920538436/+1.324255224834304/\
7e+012/1/-60/0 params=-5.5/-2.3/-1.6/-6.1/0/0/0/0
float=y maxiter=500 inside=0 outside=tdis
periodicity=6 mathtolerance=0.05/1
colors=000zzzzz5zz5zz4zc4zz3zz3zz2zz2h`6h`AiaEiaIj\
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lXDgUIbRNXOSSLXNIaHFfCCj7 }
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, esc=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < esc }
END PARAMETER FILE=========================================
FOTD -- July 24, 2014 (Rating A-7,M-6)
Fractal visionaries and enthusiasts:
After studying today's image for a few seconds, I decided that
it appears to be filled with pillows. Maybe it is, maybe not,
but whatever, I named it "Soft Landing".
The generating expression mixes 0.125 part of Z^(-2.5) with Z^2
before adding (1/C) on each iteration. This combination
produces an oversized Mandeloid that resembles nothing as much
as a kidney bean or a peanut, with the East Valley on the west
side and the small, almost invisible main spike pointing east.
Today's scene lies on the north shore line of the 'east' valley.
The art rates a 7. After all, I did put some extra effort into
the coloring. The math rates only a 6. Today's math trick is
over 10 years old.
The calculation time of 4-3/4 minutes borders on slowness. To
save time and effort, check the finished image on the FOTD web
sites.
The finished image is posted 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>
Near perfect conditions prevailed here at Fractal Central today,
with photoshop (aka kodachrome) blue skies, cotton-candy white
clouds and a temperature of 77F 25C. Both the fractal cats and
humans enjoyed the conditions as much as possible. The next
FOTD will be posted soon. Until 'soon' arrives, take care, and
be wise.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Soft_Landing { ; time=0:04:45.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=-17.80110543551/+0.0751068472079/789855\
/1/25/0 params=1/2/0.125/-2.5/0/0/0/0 float=y
maxiter=2250 inside=0 logmap=250 periodicity=6
colors=000ljAniDphGqgJsfMufPxeSzdVzcYzc_yfVtiRolMj\
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bxVczZdzaezdfzggzjhzlizmkznlzzmzznzzozzqzzszzuzzwz\
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, esc=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < esc }
END PARAMETER FILE=========================================
FOTD -- July 21, 2014 (Rating A-7,M-7)
Fractal visionaries and enthusiasts:
Today's image lies in the parent fractal that results when a
ridiculously tiny part of Z^(100) is subtracted from Z^(1.008)
before straight (C) is added on each iteration. This parent
appears as a large circle that lies mostly off the left edge of
the screen, with a tiny mandel shaped object at its eastern
edge. Today's scene is located very near the X-axis, at the
eastern extremity of the entire parent fractal.
The name "High-order Hijinks" was the first thing that came to
mind when I saw the image.
The art and math aspects both rate a 7. The colors are not all
that impressive, while the math trick is nothing new.
The 2-1/4 minute wait while the image calculates may be
eliminated by checking the web sites.
Check the finished image 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>
The mix of clouds and sun, along with the temperature of 84F
29C, gave nothing to remember the day by here at Fractal Central
today. The fractal cats were so bored that they almost forgot
to take their afternoon naps. The fractal humans, who are
becoming ever more disgusted with the world and its madnesses,
wished they had the time for naps.
The next FOTD will be posted soon. Until whenever, take care,
and what well known biological species is now almost totally
addicted to electronic gadgets?
Jim (it's an evil plot of . . . ) Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
High-Order_Hijinks { ; time=0:02:15.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=+0.10381629138731270/-0.000000302835590\
10/2.998046e+010/1/-135/0 params=1/1.008/-1e-025/\
100/0/0/0/0 float=y maxiter=1500 inside=0 logmap=158
periodicity=6 mathtolerance=0.05/1
colors=00060A9ADCAGFAJIAMLAPOARRAUUAXWA_YAb_9db8gc\
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YzzTzzOzzJzzHzzGzzJzzGzzDzzAzzDzzGzzJzzMzzPzzSzzVz\
zYzz`zzczzfzzizzlzzozzrzz }
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, esc=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < esc }
END PARAMETER FILE=========================================
FOTD -- July 20, 2014 (Rating A-7,M-7)
Fractal visionaries and enthusiasts:
Today's image is named "It's in the Parent", which is an obvious
truism. The name also refers to the parent fractal, which
consists of two large Mandelbrot sets symmetrically situated
with respect to the X-axis and connected by an unusually long
and broad 'canal'. Today's scene is located on the western side
of this canal, very near the X-axis.
I chose to investigate the shore line of the canal because I
assumed that this is where the most unusual minibrots would be
found. A quick check had shown me that the minibrots in the two
M-sets hold mostly standard M-set stuff.
Both the art and math aspects of the image rate a 7 -- above
average but not worth the proverbial cigar.
The calculation time however is shockingly fast, finishing on
almost any machine in under one minute. The only thing more
convenient would be to find the image already calculated. And
by a stroke of luck, the finished image may be found on the web
sites.
The finished image is posted online 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>
A mix of clouds and sun, and a temperature of 79F 26C, kept
today in the comfort zone here at Fractal Central. The fractal
cats took it as easy as possible, while the fractal humans spent
the afternoon trying to forget the troubles in progress around
the world.
The next FOTD will be posted in the not-too-distant future. I
realize that the FOTD's are not appearing as frequently as in
the past, but this is mostly due to a lack of time to write the
discussions, not a lack of enthusiasm for fractals. So until
whenever, take care, and the other day I heard a young man say
that he runs so many apps on his phone because when he is not
online, his mind starts working and he starts thinking about his
real problems. I guess I'm just a cranky old-fashioned codger,
but I assumed this is why we have intelligent minds.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
It's_in_the_Parent { ; time=0:00:45.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=ident float=y
center-mag=+0.1984632682885229/-0.0030030724276861\
/1.280406e+007/1/57.5/0 params=1/1.5/0.15/3/0/0/0/0
maxiter=1500 inside=0 logmap=101 periodicity=6
colors=000ALk4MY2JL62L47G2CCIZSDUN9PI4KDPgRGYK8PEn\
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VVdsVMnWLvOJiGIX8HKTu_E`M }
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, esc=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < esc }
END PARAMETER FILE=========================================
FOTD -- July 15, 2014 (Rating A-4,M-6)
Fractal visionaries and enthusiasts:
Today's image is . . . how can I phrase it . . . interesting,
which is a word commonly used when one does not like something
but does not want to state his disapproval outright. Let's face
it, the color cast of the image is sickly. If more time had
been available, I might have found a color palette worth several
rating points higher, but as it is, I could rate the art no more
than a lowly 4.
The image lies in the parent fractal that results when the
expression Z^(1.618...)+C is iterated 12 levels up the
hyperladder with no function applied. The main bay of this
parent resembles a crescent moon, with a large minibrot on a
zig-zagging filament extending northeast from the main bay.
Today's scene lies in deep in a blunt valley on the southwest
shore line of this minibrot.
The prominent object almost filling the scene is not the pattern
around a single minibrot, though the object is filled with
smaller minibrots, many of which are well within reach. This
pseudo-minibrot effect raises the math rating to a humdrum 6.
The calculation time of a zippy 1-1/4 minutes will bring little
impatience. The web sites will bring none at all.
View the finished image at leisure on the FOTD web sites 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>
High humidity, lots of clouds and occasional periods of light
rain made today far from perfect here at Fractal Central. The
temperature reached 84F 29C but the humidity kept things quite
oppressive. The fractal cats passed the day lounging around the
living room, while the humans were too busy to do much lounging.
The next FOTD will be posted in a day or two. Until that moment
arrives, take care, and what rational fractal artist would
disparage his own work?
Jim (irrational) Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
A_SallowComplexion { ; time=0:01:15.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident
center-mag=+1.318515193661967/+1.207989754697286/\
6751055/1/85/0 params=1.618034/0/12/0 float=y
maxiter=1500 inside=0 logmap=119 periodicity=6
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0Emv9Xb4GJPExIAhC7U63FQXy }
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=========================================
