FOTD -- October 01, 2012 (Rating Low)
Fractal visionaries and enthusiasts:
Today's image has a low rating. Since I did not wish to
embarrass myself, I did not state exactly how low, but it would
be fair to state that the rating would be notably less than
average. (A rating of 4 would be a good guess.)
The image lies within the tiny bit of debris inside the
Mandelbrot bud that appeared in the background of yesterday's
image. Today's image is characterized by a near-hopeless nest
of zigzag filaments overlying a totally chaotic background. The
filaments are much like those found in the 'Siegel Disk' area of
the Mandelbrot set.
The name "New Stuff" is a bit misleading, since there is little
new stuff in the image, which is really only a casual glance of
what lies within a strange little eye-shaped bit of unevaporated
debris. The calculation time of 8-1/2 minutes is a bit too much
to pay for the image, but once again, the FOTD web sites charge
to the rescue, saving both time and frustration.
Be part of the charge. View the finished image on the FOTD web
site at:
<http://www.crosscanpuzzles.com/Archives.html>
A high-definition version is posted at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
Lots more older images are available at:
<http://www.Nahee.com/FOTD/>
Despite a few minor clouds here at Fractal Central today, the
day brought the impression of a sunny one. The temperature of
68F 20C was quite pleasant for the start of October, and the
fractal cats took full advantage of it in their southwest window
as they watched the falling leaves outside.
The humans made it through another day with nothing out of the
ordinary happening, which is boring to report but quite pleasant
to experience in person. The next FOTD will be posted whenever
it is. Until then, take care, and be of sound constitution, but
keep the sound level under control. You wouldn't want your
noisy constitution disturbing the peace.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
New_Stuff { ; time=0:08:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=JulibrotMulti2 function=recip passes=1
center-mag=+0.0017245727/+0.0093780664/10151/1/82/0
params=6.5/-6.5/89/0/89/0/-1.626/0/0/0 float=y
maxiter=4000 inside=0 logmap=382 periodicity=6
colors=000z1Sm8YfEbYKgRQlrzFgvIXtLNrNOpQOnTPlVRjYS\
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VaVWcXXfZXh`YjbYlcjJQiIMhGIgFDfE9eD5eC1_J5VQ9PXCKc\
GFiJKePPaVTZ_j9Rl7Sn5Sp3S }
frm:JulibrotMulti2 {; draws all slices of Julibrot
pix=pixel, u=real(pix), v=imag(pix),
a=pi*real(p2*0.0055555555555556),
b=pi*imag(p2*0.0055555555555556),
g=pi*real(p3*0.0055555555555556),
d=pi*imag(p3*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),
aa=-(real(p1)-2), bb=imag(p1),
c=p+flip(q)+p4, z=r+flip(s)+p5:
z=(bb)*(z*z*fn1(z^(aa)+bb))+c
|z|< 6 }
END PARAMETER FILE=========================================
FOTD -- September 30, 2012 (Rating ?)
Fractal visionaries and enthusiasts:
The day we spent yesterday back at Old Fractal Central went
quite well. But the fractal cats disapproved of our all day
absence and our 10pm return. A quick treat of tuna and cheddar
restored their good spirits.
Today's image shows both the Mandelbrot and Julia aspects of the
same Julibrot scene together at the same time. Since I will
attempt to explain how this is possible, I have named the image
"Fractals-101". The reddish outer parts outline the Julia
aspect of the scene, while the bluish inner parts show the
Mandelbrot bud aspect.
The bluish Mandelbrot bud near the center is about 60 times its
apparent size when it is viewed as a straight Mandelbrot shape.
To see the pure Mandelbrot view, reset the real(p2) and real(p3)
parameters to zero and reset the magnitude to 60. (The value of
60 is necessary because it is close to the value of the tangent
of 89.) But how can a Mandelbrot image be enlarged by merely
slicing it at a very sharp angle?
The answer lies in the 4-dimensional shape of the high-iteration
Mandelbrot features of the Julibrot, which are extended to
infinity in two dimensions, and display the typical compact
Mandelbrot shapes in the other two dimensions.
Imagine an infinitely long cylinder in three dimensions with a
circular cross-section. If it is sliced straight across, the
slice is a circle. But if it is sliced at an ever increasing
angle, the slice is an increasingly stretched oval. And slicing
the cylinder along its length produces an infinitely long
straight rod. The angle of the slice causes the expansion of
one dimension of the slice.
In four dimensions we may have an object that is circular in its
two compact dimensions and extends to infinity in its two
extended dimensions. Such an object may be sliced at two
independent sharp angles. Doing this will give a 2-D slice that
is stretched in two directions, and if the angles are equal, the
cross section will be enlarged proportionally without being
stretched. We have a Mandelbrot microscope. The Mandelbrot
part of today's image was enlarged just this way. (Unfortunate-
ly, we can get no extra magnification of Mandelbrot objects by
doing this.)
The image itself is pretty routine. The most interesting part
is the curiously shaped bluish Mandelbrot bud at the center.
The rating of a question mark means I don't really know how to
rate the image.
The calculation time of 2 minutes is reasonably fast, but the
web sites are always there to make things even easier.
Be happy! View the finished on the official FOTD web site at:
<http://www.crosscanpuzzles.com/Archives.html>
without the need to calculate it.
View the image in high-definition, with lots of added bells and
whistles such as anti-aliasing at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
All the thousands of FOTD back images are online at:
<http://www.Nahee.com/FOTD/>
A mix of sun and clouds, with a temperature of 64F 18C made
today quite typical of the end of September here at Fractal
Central in Central Pennsylvania. The fractal cats enjoyed the
sunny periods on their shelf, and endured the cloudy times in
sulk mode. The humans spent most of the day recovering from
yesterday's trip to Old Fractal Central, where my sister is
putting out food for the neighborhood cats that are starting to
gather in increasing numbers for a free meal. The next FOTD
will be posted in a reasonable amount of time. Until whenever,
take care, and if we suddenly lost all our advanced technology,
how many, I wonder, would survive and how many would curl up
and expire.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Fractals-101 { ; time=0:02:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=JulibrotMulti2 function=recip passes=1
center-mag=0/0/1.572327 params=6.5/-6.5/89/0/89/0/\
-1.626/0/0/0 float=y maxiter=24000 inside=0
logmap=12 symmetry=xaxis periodicity=6
colors=000S05U17W28Y39_4Aa4Bc5Ce6Dg7Ei8Fk8Gm9HoAIq\
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zUKzKKzKKzMKzLKzLKzKKzKKz }
frm:JulibrotMulti2 {; draws all slices of Julibrot
pix=pixel, u=real(pix), v=imag(pix),
a=pi*real(p2*0.0055555555555556),
b=pi*imag(p2*0.0055555555555556),
g=pi*real(p3*0.0055555555555556),
d=pi*imag(p3*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),
aa=-(real(p1)-2), bb=imag(p1),
c=p+flip(q)+p4, z=r+flip(s)+p5:
z=(bb)*(z*z*fn1(z^(aa)+bb))+c
|z|< 6 }
END PARAMETER FILE=========================================
FOTD -- September 28. 2012 (Rating 7.5)
Fractal visionaries and enthusiasts:
Today's image lies in the same parent fractal as yesterday's,
but instead of being found near the tiny bud at the eastern
extremity, it is located in a valley of a strange-shaped
minibrot near the center of a ragged island in the center of the
main bay of the parent Mandeloid.
I named the image "Injured Starfish". The resemblance to a
starfish with missing arms is quite striking.
The rating of 7-1/2 includes a half-point bonus for the extra
effort necessary to bring out the starfish resemblance.
The calculation time of 1-3/4 seconds is a bit slow. But this
is no need to worry. The web sites will make the access near
instant.
The finished image is posted on the official FOTD web site at:
<http://www.crosscanpuzzles.com/Archives.html>
The hi-def version is available at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The FOTD back images are online at:
<http://www.Nahee.com/FOTD/>
Lots of clouds and occasional showers left today with a lot to
be desired here at Fractal Central. The fractal cats, much less
active than the old fractal cats, took it easy most of the day.
The humans, always active, had a typical day with a lot to do
but nothing to report. There will be no FOTD for September 29,
since I'll be going back to Old Fractal Central to check things.
Most likely, the next FOTD will be posted on September 30, but
as always, there is no guarantee given or implied. Until
whenever, take care, and why do people need so many technologi-
cal gadgets to distract them from the world?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Injured_Starfish { ; time=0:01:45.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-2 function=recip passes=1
center-mag=-0.5823524453967268/+0.0261965516683267\
/1.906265e+009/1/-90/0 params=6.5/-6.5/0/0 float=y
maxiter=2500 inside=0 logmap=108 periodicity=6
colors=000GL`GOaGRbGUcBXZ7_UBbWEeYHh_KkaNncQqeTtgW\
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zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
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=========================================
FOTD -- September 27, 2012 (Rating 7)
Fractal visionaries and enthusiasts:
Today's image gives a glimpse into the disorder that results
when a Mandelbrot set is seriously corrupted by negative Z^(6.5)
energies. Today's parent M-set is barely recognizable as an
M-set. It still has the tiny bud on the X-axis at the eastern
edge of the main bay however, and today's image lies deep on a
filament associated with this bud.
Perhaps the most striking thing in the image is the lack of
visible discontinuities, which certainly do exist but are
concealed by both the coloring and underlying fractal forms.
The name "Strange Count" does not refer to a certain well-known
vampire. It refers to the 13 orangish shafts radiating from the
central minibrot. The number 13 is not too surprising, since 13
equals (6.5)x(2). Curiously, the northeast shaft, unlike the
other 12 shafts, is disconnected from the minibrot.
The central minibrot itself is surprising also. Being of order
6.5, this minibrot should have 5.5 lobes and main buds, but at
least at today's reasonable distance, it appears to have a full
6 buds and only 5 lobes. The distant appearance is deceiving
however. A closer look shows that the northeast lobe, which is
larger than the other four, is actually 1-1/2 lobes, making a
total of 5.5, and the 2 buds attached to it are only 3/4 buds,
making a total of 5.5 buds. So it all adds up, and all is once
again right in fractal land.
The rating of a 7 is dead average, held down a bit by the color-
ing. The image, as are all FOTD images, is worth a quick look
however, especially with a calculation time of only 40 seconds.
The image will seem more enjoyable when viewed on one of the web
sites without the need to calculate it.
All problems connected with calculating the parameter file may
be avoided by viewing the finished image on the official FOTD
web site at:
<http://www.crosscanpuzzles.com/Archives.html>
And check the image in high definition on Hal's web site at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The thousands of back images are online at:
<http://www.Nahee.com/FOTD/>
The day began with light rain here at Fractal Central, but the
rain soon ended, and by midday the sun broke through, leading to
a partly cloudy afternoon with a temperature of 70F 21C. The
fractal cats passed the day taking it easy. FL spent the day at
a nearby fair, while I remained at FC, seeing that nothing impor-
tant went undone. The next FOTD will be posted in the proper
time. Until whenever, take care, and if high technology were to
become our god, I guess I would be an Athiest.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Strange_Count { ; time=0:00:40.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-2 function=recip logmap=46
center-mag=+0.617165311719468/+0.00000000001321963\
/1.687e+011 params=6.5/-6.5/0/0 float=y maxiter=500
passes=1 inside=0 periodicity=6 mathtolerance=.05/1
colors=000fiqhhsdfn`eiXdeTc`PbWLaSDZI5W89YAC_BGaCJ\
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Rz6Oz5Lz5Nz8PzBQzDSzGUzIVzLXzNYzQ_zSazVbzXdz_ezacz\
`bz_`zZ_zYYzXXzWVzVUzUSzT }
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=========================================
FOTD -- September 26, 2012 (Rating 8)
Fractal visionaries and enthusiasts:
Today we ramble into the fractal world that appears when the
Mandelbrot set is corrupted by 4.5 negative units of Z^(4.5)+C
energies. This parent fractal resembles the parents of the past
several days' images, and the image is located in the same tiny
east-central bud. But, unlike the situation with straight
Z^(n)+C fractals, in today's situation the fractal interest
seems to increase as the exponent is raised.
I named the image "Double-Take" because it is filled with twin
pairs of Z^(4.5) minibrots. The rating of an 8 shows that I
consider the image to be a rather good one, at least as far as
the underlying forms go. I might have raised the worth to 8-1/2
or so if the brilliant green color palette had not been almost
totally created with a stroke of the <enter> key.
The calculation time of 30 seconds, like the times of all the
recent images, is a rounded approximation. On some machines the
parameter file will run faster; on others it will run notably
slower. Luckily, the finished image is available on the FOTD
web sites, where all uncertainty is eliminated.
The image is posted, already calculated, on the FOTD web site at:
<http://www.crosscanpuzzles.com/Archives.html>
A high-definition rendering is online at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
Thousands of FOTD back images and discussions are available at:
<http://www.Nahee.com/FOTD/>
Clouds were the thing of the day here at Fractal Central today,
with only a few peeks of sun. Rain showers simply added to the
confusion. The temperature of 70F 21C was pleasant enough . . .
as long as the changeable weather was observed from indoors,
that is.
The fractal cats observed the conditions from their southwest
window, complaining every so often about the lack of sun. The
humans had another in a long string of everyday week-days. The
next FOTD *will* be posted. That's all I can say right now
about exactly when.
Until whenever, take care, and I see that the dangers of cell-
phone radiation are back in the news (on CNN at lunch time
today). To read my comments about the dangers, check the FOTD
discussions of about 10 years ago. BTW, it's now safe for the
phone companies to let the risk of too much cell-phone use be
widely known. Almost everyone under the age of 30 is now
totally addicted to various wireless devices, which have become
just another necessary part of modern day life, and regardless
of the risk, they would never give them up.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Double-Take { ; time=0:00:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-2 function=recip passes=1
center-mag=+0.4968959677020675/+0.0000000286553292\
/4.433267e+008/1/39/0 params=4.5/-4.5/0/0 float=y
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colors=0002596BC9GFCMIFRLDEDC26PD7`N8mY9ygAiX7VM50\
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azv_zkZz`YzQXzGVzKTzNRzQPzTYzRfzQozPjzSezV`zYWz_Vz\
kUzw_zdezNkz5gz8czARz9Ez9 }
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=========================================
FOTD -- September 25, 2012 (Rating 5)
Fractal visionaries and enthusiasts:
Today's image is a hasty one that I found after only a 2-minute
search. With so little effort going into its creation, I could
give it a rating no higher than a humble 5. The coloring is so
hasty that several colors from the GIF default palette remain in
several registers.
The image is named "PI Pie". The reason for the name is that it
was found by the FinDivBrot-2 formula with both positive and
negative PI entered as the parameters.
The parent fractal is a distorted Mandelbrot set, well on the
way to becoming a 'ZexPI' Mandeloid. Today's scene lies near a
tiny, 'PI' bud at the point where the X-axis crosses the east
edge of the main bay.
The image shows a 'PI' minibrot, which is hard to distinguish
from a cubic minibrot. The surrounding pattern is even harder
to distinguish. The overly brilliant reds surrounding the
minibrot are actually part of the GIF default color palette.
The calculation time of 1-1/4 minutes will pass quickly. Of
course, no guarantee of total fractal satisfaction is given or
implied.
The image is posted, completely calculated, at:
<http://www.crosscanpuzzles.com/Archives.html>
A high-definition rendering is online at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images are available at:
<http://www.Nahee.com/FOTD/>
Today began foggy here at Fractal Central. The fog cleared by
9am, and the rest of the morning was sunny, but heavy clouds
moved in during the afternoon, with threats of showers. The
early morning low of 37F +3C rose quickly to 68F 20C in the
afternoon. The fractal cats observed all this with disinterest,
while the humans had an everyday day. The next FOTD image will
be posted in the properly appointed time. Until whenever, take
care, and is the Mandelbrot set animal, vegetable, mineral, or
none of the above?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
PI_Pie { ; time=0:01:15.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-2 function=recip
center-mag=+0.30458021054461/-0.00143308920906492/\
8.461661e+010/1/97.5/0 params=3.14159265358979/\
-3.14159265358979/0/0 float=y maxiter=1800 inside=0
logmap=204 periodicity=6 mathtolerance=0.05/1
colors=0009RD9i2Gk5Mm7So9YqBdsDjuFpwHvyJuvItsItpHs\
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zmzzmzzmzzpzzqzzmzzmzzmzzmzzzezzkzzqzzvzzszzpzzmzz\
jzzlzzmzzozzpzzfzzXzzNzzD }
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=========================================
Hi all.
I am cleaning up the links for Bud's Fractal Pages. I will probably have more questions like this.
1) Is fractalforum still around? I clicked on my old link for fractalforum.com and was directed to a hosting page.
Thanks...
FOTD -- September 24, 2012 (Rating 7)
Fractal visionaries and enthusiasts:
Today we check the fractal that results when the Z^(e)+C Mandel-
oid is calculated epsilon levels down the hyperladder with the
'recip' function applied. The parent fractal somewhat resembles
the standard cubic Mandeloid, but with two East Valleys and a
wedge-shaped open area west of the single West Valley. Today's
image lies on a filament extending from a tiny bud on the posi-
tive X-axis at the eastern edge of the main bay.
Perhaps the most unusual feature of the image is its magnitude
of over 2*(10^14). Such a magnitude is normally well beyond the
resolution range of double precision math, but resolution limits
are not fixed, and occasionally an area such as today's, with an
exceptionally high limit turns up. Even so, the resolution
breakdown is starting to become visible, especially along the
normally smooth iteration band edges.
The name "Zexpe Recip Zexpe" refers to the way the image was
created. The rating of a 7 shows that I am not totally pleased
with the image, especially with the colors.
The calculation time of 47 seconds has been rounded off as all
the calculation times now are. The way to avoid calculation
problems is to view the image on one of the FOTD web sites.
Find fractal enlightenment and the finished image online at:
<http://www.crosscanpuzzles.com/Archives.html>
where the finished image and discussion ares posted.
Find high-definition happiness at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
Enjoy images from the ancient past at:
<http://www.Nahee.com/FOTD/>
Another near perfect autumn day was appreciated by all here at
Fractal Central today. The crisp temperatures in the 60's F,
upper teens C, blue skies and puffy clouds made it a day to be
remembered. The fractal cats appreciated the activity of the
local pigeons, which might become a problem. The humans made it
through the day without anything unusually annoying happening.
The next FOTD will be posted soon, the most likely time being in
24 hours. Until whenever, take care, and hopefully, whatever
the problem, technology will save us. (But don't bet on it.)
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Zexpe_Recip_Zexpe { ; time=0:00:47.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-2 function=recip passes=1
center-mag=+0.2091342460974785/+0.000005325221225\
66/2.242649e+014/1/-7.5/0 params=2.71828182845905\
/-2.71828182845905/0/0 float=y inside=0 logmap=74
maxiter=1800 periodicity=6 mathtolerance=0.05/1
colors=000LGANHAQJATLAWNAZPAaRAeTAiUAbTAWO9PJ8ID6A\
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RllRkjSkhSjfSjdSjbSi`SiZUjYSiXRiWPiWOiVMiVLiUJhUIh\
TGhTFhSDhSChRBhRD`OEULFNJ }
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=========================================
FOTD -- September 23, 2012 (Rating 6)
Fractal visionaries and enthusiasts:
There was no FOTD for September 22, when FL and I decided to
take an trip down to Carlisle to do some antiquing. We found
several interesting old books, but nothing of real value.
Today's image, a trip into the crazy world of mixed quadratic
and cubic fractals, rates only a 6. The lowly rating is because
to me at least, the image appears too . . . well . . . feminine.
Those light pastel shades really fail to give the image its
proper impact, but it really is a pleasant view of a cubic mini-
brot that has no right to appear in its mostly quadratic parent.
The parent fractal is basically a Mandelbrot set whose smaller
features are starting to change into those of the cubic
Mandeloid. The main bud has already split into two lobes, while
the East Valley has vanished and been replaced by a tiny cubic
bud with curious curving tendrils extending from its two lobes.
Today's scene lies deep in one of these curving tendril spirals.
The name "Cubic Number Field" sounds like more that it means.
This name simply popped into my head as I shut off my thought
processes, something every fractal fanatic must do to properly
enjoy the tricks of numbers.
The calculation time of 42 seconds will make the task of running
the parameter file a simple one. The only thing simpler is a
trip to one of the FOTD web sites.
Leap in joy at the sight of the finished image posted on the
official FOTD web site at:
<http://www.crosscanpuzzles.com/Archives.html>
Leap higher by viewing the high-definition rendering at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
Go into orbit at the sight of thousands of FOTD back images at:
<http://www.Nahee.com/FOTD/>
Typical autumn weather prevailed here at Fractal Central today.
The temperature hovered around 66F 19C, while the sky was filled
with big dark lumpy clouds of the strato-cumulus variety. The
fractal cats were more concerned with falling leaves and pigeons
than with the outside weather that they never get to experience.
The humans had a relaxing day after yesterday's adventure. The
next FOTD will be posted promptly. Until whenever, take care,
and vote with your head, not your heart.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Cubic_Number_Field { ; time=0:00:42.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-2 function=recip float=y
center-mag=+0.2071310995378451/-0.0201790533795087\
/1.3047e+011/1/86.25/0 params=3/-5/0/0 maxiter=1500
inside=0 logmap=103 periodicity=6 mathtolerance=/1
colors=000LBeMCfNDgOEhPFiQGjRHkSIlTJmUKnVLoWMpXNqY\
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z5Lz3Hz1Cz08z4Bz7DzAFzEIzHKzKMzOOzRRzUTzYVz`Xzc_zg\
azjczmezlczlazl_zlZzSdzKd }
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=========================================
FOTD -- September 21, 2012 (Rating 7)
Fractal visionaries and enthusiasts:
Today's image takes us to the Z^(3.003)+C Mandeloid in search of
any geometric figures such as triangles or rectangles that might
lie there. I had little hope of finding any such figures, since
rather than cutting through a stem, the negative X-axis of the
Z^(3.003) Mandeloid cuts through the West Valley, which is a
mirror of the East Valley. But I did find a very interesting
area along the southern edge of the broadened valley, where the
elements are broken into herringbone like patterns. Today's
scene shows a near-cubic minibrot lying in this herringbone area.
I named the image "Herring Run", which is the name of a stream
that runs about 1/2 mile from Old Fractal Central back in
Baltimore. The image itself holds very little of a fishy
nature, though a few vague hints of elephants are visible.
The rating of a 7 is what I feel the close-to-average image is
worth. The calculation time of 3-1/4 minutes is also about
average, making the image an average bargain. An even bigger
bargain may be found however on the web sites.
The full glory of the finished image may be viewed online at:
<http://www.crosscanpuzzles.com/Archives.html>
The fuller glory of high-definition is available at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The total glory of all the images may be viewed at:
<http://www.Nahee.com/FOTD/>
A very pleasant end-of-summer day prevailed here at Fractal
Central today. The fractal cats fully enjoyed the temperature
of 77F 25C, while the humans, who agree on many issues but not
everything, passed the day involved in work. The next FOTD will
be posted in the foreseeable future, but probably not on the
22nd. Until whenever, take care, and I heard from the greenies
that we need a source of energy that is cleaner and less expen-
sive than coal and oil, and exists in a quantity large enough to
make us independent of foreign sources. We recently found such
a fuel -- natural gas. I thought we were saved, but why are the
same greenies now protesting so much about its production.
Either the world is crazy or I'm crazy . . . . or maybe we both
are.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Herring_Run { ; time=0:03:15.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=slices.frm
formulaname=MandelbrotN passes=1 float=y
center-mag=-0.388666508437/-0.002122642167/2259652\
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7zL8zM9zNAzOBzPCzQDzREzzz }
frm:MandelbrotN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=z^(b)+c,
|z| <= 16 }
END PARAMETER FILE=========================================
