FOTD -- August 25, 2011 (Rating 8.5?)
Fractal visionaries and enthusiasts:
Today's image rates an 8-1/2 followed by a question mark. This
means I feel it must have something worth 8-1/2 points somewhere
in it, but I just can't put my finger on any aspect of the image
that might be worth a rating of an 8, plus the usual extra half-
point for the coloring.
To begin, the image is exceedingly slow, taking over four hours
to calculate, but this is how it goes with such deep images that
require arbitrary precision math.
The scene is also too chaotic, with too many large areas of
fractal 'sand'. This is why I named it "Sandy Stretches". The
sand cannot be escaped. When I tried the 'logmap' feature, both
plus and minus values, it got rid of the sand, but left only a
near featureless expanse of flat colors.
The entire image is also oriented in the wrong direction. The
central minibrot points southeast instead of west, which is the
'normal' orientation. With the minibrot being so small however,
this is of little consequence. I could easily have corrected
the wrong orientation, but decided not to tie up the machine for
another four hours.
The scene is located in the radical of a tiny bud on the
northwest shore line of the large period-3 bud on the north side
of the Mandelbrot set. (In fractals, a radical is all the
elements, such as the filaments, spirals and chaotic areas,
associated with a particular bud.)
As I mentioned above, the image is exceedingly slow, so the only
practical way to view it is in finished form on the web site.
The official FOTD web site may be accessed at:
<http://www.crosscanpuzzles.com/Archives.html>
Today's image is available in high definition at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The original FOTD web site may be found at:
<http://www.Nahee.com/FOTD/>
The day began with heavy thunder-storms here at Fractal Central.
The rain ended by 10am, but clouds and occasional showers hung
on for the rest of the day, holding the temperature to a rather
pleasant but soggy 79F 26C. The fractal cats ignored the
outside conditions as they chased each other up and down the
hallway, pausing occasionally to ask for food.
The humans, who are never quite sure exactly what it means to
be human, had a typical up-and-down day. The next FOTD will be
posted in 24 hours. Until then, take care, and if you come
across any stray Boltzmann brains, report them to the proper
authorities. (Those Boltzmann brains are a hoot! The joke is
that no high priest of cosmological science knows how to assure
us that they are not floating around out there in empty deSitter
space along with everything else imaginable and unimaginable.)
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Sandy_Stretches { ; time=4:06:50.04-SF5 on P4-2000
reset=2004 type=mandel passes=1 center-mag=-0.1659\
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END PARAMETER FILE=========================================
FOTD -- August 24, 2011 (Rating 6)
Fractal visionaries and enthusiasts:
Today's image lies in the parent Mandeloid that results when the
expression Z^(2.25)+C is iterated 1.2 turns up the complex
logarithmic hyperspiral with the 'recip' function applied. This
parent appears as a reasonably complete Mandelbrot set rotated
180 degrees, with 2 East Valleys and 2 fractalized main spikes,
each graced with 2 large minibrots. The image is located in a
knot on a minor filament extending from the southern large
minibrot.
The rating of a 6 is held down because I seem to remember a
recent FOTD image that closely resembles today's, at least in
the coloring. But even if this is true, fractals are still
fractals, and today's image must be infinitely different from
its earlier relative.
The name "Two-Headed Monster" refers to the minibrot at the
center of the image, which, even though it is not fully
resolved, closely resembles the shape of its parent.
The calculation time of 1-1/2 minutes is quite fast by fractal
standards. In fact, more time is likely to be spent setting up
today's parameter file than in running it.
The image may be viewed without calculation however on the FOTD
web site at:
<http://www.crosscanpuzzles.com/Archives.html>
It is also available in high definition at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
And the original FOTD web site may be accessed at:
<http://www.Nahee.com/FOTD/>
A mix of sun and clouds with a high temperature of 84F 29C and a
nice breeze made things pretty comfortable here at Fractal
Central today. The fractal cats, who survived the big quake
yesterday, spent the day in meditation. The humans meditated
about finding time to meditate. The next FOTD will be posted in
24 hours. Until then, take care, and fractals might be all in
the mind of a Boltzmann brain.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Two-Headed_Monster { ; time=0:01:25.02-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=recip inside=0
center-mag=+1.5450423432411/-0.209605690560271/\
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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=========================================
FOTD -- August 23, 2011 (Rating 7.5)
Fractal visionaries and enthusiasts:
Today's fiery image shows a scene rather deep in the prominent
knot on the longest filament extending from the northeast shore
line of the main bay of the large minibrot on the negative stem
of the Mandelbrot set.
The rating of a 7.5 includes 1/2 point for the coloring, which
admittedly is a bit exaggerated but makes a lively picture
nonetheless.
I have been down to the minibrot at the center, and found it is
less interesting than the scene in the image. The minibrot is
surrounded with little more than a multitude of concentric
circles with varying degrees of chaos.
The name "A Fire Deep Inside" has nothing to do with a steamy
romance novel. It refers to the lurid fiery hues filling the
image.
The calculation time of 58 minutes is slow. The better choice
is to view the finished image on one of the FOTD web sites.
The finished image may be viewed on the official FOTD web site,
which may be accessed at:
<http://www.crosscanpuzzles.com/Archives.html>
The high definition version is available at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The original FOTD site may be accessed at:
<http://www.Nahee.com/FOTD/>
Near perfect weather once again prevailed here at Fractal
Central today, with lots of sun and a temperature of 79F 26C.
But the peace was broken by a sizable earthquake in the
afternoon. The quake shook up things quite a bit and cracked a
wall in the city administration building, which had to be
evacuated. The cats of the fractal variety ignored the quake as
they slept and chased each other up and down the long hallway.
The humans had another day of being busy, which is better than
being idle.
The next FOTD will be posted in 24 hours. Until then, take
care, and the visible universe is about 27.5 light years in
diameter. But we are seeing the most distant parts in the
positions they occupied 13.7 billion years ago, and they have
been receding at near light velocity since then. So how far
away are those most distant parts at the present time? I guess
it's all a matter of relativity.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
A_Fire_Deep_Inside { ; time=0:58:18.64-SF5 on P4-2000
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END PARAMETER FILE=========================================
FOTD -- August 22, 2011 (Rating 8)
Fractal visionaries and enthusiasts:
Today's image is named "The All-Seeing Eye". But there is
nothing all-seeing about it. The image is simply a picture of a
minibrot in the parent fractal that results when the formula
Z^(2.2)+C is iterated 2.2 levels up the logarithmic hyperladder
with the probably erroneous reciprocal function applied.
This parent is another of those rotated and scrambled Mandeloids
that appears to be suffering from the effects of the second law
of thermodynamics. Its entropy is starting to increase, and
this increase will continue until nothing but a screen filled
with infinitely divided, flat gray fractal sand remains. (It's
too bad that entropy so rarely decreases. If it did, fractals
would spontaneously appear out of nowhere.)
The scene of today's action is located in a branch of what
appears to be a degenerate Seahorse Valley. I say it appears to
be a Seahorse Valley because even though it encloses a period-2
bud, in its depths it looks nothing at all like the valley we
know so well.
The terraced effect was achieved by rendering the scene with the
'tdis' option in effect, which colors the points according to
how far they have traveled when they finally escape.
The rating of an 8 is deserved, since I did put at least a
little extra effort into the coloring. The calculation time of
2-3/4 minutes is true when the image is rendered with the passes
set to 'b'. With this particular image, passes=b is the fastest.
The image may be viewed without the inconvenience of setting up
and running a parameter file by visiting the FOTD web site at:
<http://www.crosscanpuzzles.com/Archives.html>
The image is available in high definition at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The 14-1/2-year-old original FOTD web site may be accessed at:
<http://www.Nahee.com/FOTD/>
The weather today was ideal here at Fractal Central, with
kodachrome blue skies decorated with cottonpuff cumulus clouds
and a temperature of 77F 25C. The fractal cats, who are of very
low entropy, spent the day playing with their catnip toys and
sleeping. The humans, of equally low entropy, spent the day
doing things that are more human, such as work. The next FOTD
will be posted in 24 hours. Until then, take care, and would
all the Boltzmann brains please raise their hands.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
The_All-Seeing_Eye { ; time=0:02:48.90-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=mandelbrotbc3 function=recip passes=b
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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=========================================
FOTD -- August 21, 2011 (Rating 7)
Fractal visionaries and enthusiasts:
Today's not-all-that-deep scene in the Mandelbrot set rates an
everyday 7. The location is near a point of antibifurcation in
the East Valley of a tiny minibrot on a filament extending from
the northeast shore line of the large minibrot on the west
branch of the filament extending from the large period-3 north
bud of the M-set. (Everyone now knows exactly where the scene
lies.)
The image is notable for the star-like elements surrounding the
central minibrot. Usually when we travel this close to a
minibrot at such a depth, the surrounding elements appear as
little more than an endless nest of concentric circles.
The name "Time to Reset" refers to the fact that the image is
located near the resetting point of a larger minibrot. The
calculation time of 33-1/2 minutes is slow.
However, the image is posted already calculated on the FOTD web
site at:
<http://www.crosscanpuzzles.com/Archives.html>
and in high definition at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The original FOTD web site may be accessed at:
<http://www.Nahee.com/FOTD/>
Sunday brought sun, clouds and a light thunder-shower to Fractal
Central. The fractal cats approved of the temperature of 84F
29C, while the humans would have rather done away with the light
shower. The next FOTD will be posted in 24 hours. Until then,
take care, and it is believed by some that we bring most of our
troubles on ourselves. Whoever believes this is forgetting
about God.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Time_to_Reset { ; time=0:33:31.20-SF5 on P4-2000
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END PARAMETER FILE=========================================
FOTD -- August 20, 2011 (Rating ?)
Fractal visionaries and enthusiasts:
This is the month of deep images, but at a magnitude of only
4*(10^19), today's image lies at nowhere near a record depth in
the Mandelbrot set. Since arbitrary math is necessary, the
scene is deep enough to qualify as a deep image however.
The scene is located in the East Valley of a minibrot that lies
deep in the northwest valley enclosing the period-23 bud on the
south shore of East Valley of the M-set.
The rating of today's image is a question mark. This is because
its coloring is experimental. To get the effect, I first
reduced an everyday color palette to gray scale then added the
tints by hand. Part of the image is still pure gray scale,
while other parts have color shades of varying intensity. The
final effect is interesting but I could not decide on a definite
rating.
The name "Color in Black and White" is an oxymoron. By
definition, 'black and white' implies a total lack of color.
(Actually, a black and white image contains all the colors, but
they are all of the same intensity, giving the visual effect of
a lack of color.)
The image is deep enough to require arbitrary precision math,
which means it is a slow one, taking almost 45 minutes to
complete.
If slow calculating is not your cup of tea, the finished image
is posted on the FOTD web site at:
<http://www.crosscanpuzzles.com/Archives.html>
The high-definition version is at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The classic FOTD web site with images going back to April, 1997
may be accessed at:
<http://www.Nahee.com/FOTD/>
The weather conditions in the Fractal Central area were near
perfect today. The early morning fog soon cleared off to reveal
a cloudless blue sky, which prevailed for the rest of the day.
The fractal cats approved of the hot sun and temperature of 86F
30C from their inside location. Nicholas tried to make a
breakout when we opened the front door. He made it into the
vestibule, but much to his disappointment, was stopped by the
outer door. Cassie watched with amusement. She is quite happy
to be a totally indoor cat.
The humans spent the day at the Sunbury River Festival, this
small town's big annual event. We arrived just as an exhibition
of belly dancing was starting. Being a refined gentleman, I
averted my gaze . . . directly to the action. If I recover,
which I fully expect to do, the next FOTD will be posted in 24
hours. Until then, take care, and don't worry. I apologized to
the Big Guy up there, made a sincere act of contrition, and will
do my penance.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
ColorInBlack&White { ; time=0:44:54.45-SF5 on P4-2000
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JzmEzm9zm5zm4zm4zm4zm4zmE }
END PARAMETER FILE=========================================
Brian,
Great images and coloring!
- Hal Lane
########################
# hallane(a)earthlink.net
########################
------- Brian Prentice wrote: ----------------
Subject: [Fractint] Details from recent FOTD's
Here is a detail from the FOTD for 8/13/11
http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_37.png
and here is one from the FOTD for 8/16/11
http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_38.png
Brian Prentice
-------------------------------------------------
FOTD -- August 19, 2011 (Rating 9)
Fractal visionaries and enthusiasts:
Though today's image departs from the 'deep scenes' theme of the
month, it is well worth the departure. The rating of a 9 is no
mistake. The underlying image is worth only a 7, but I awarded
myself a full 2 points for the coloring, which gives the image
most of its impact.
The parent fractal is the Mandeloid that results when the
expression Z^(2.2)+C is calculated 2 levels up the hyperladder
with the 'recip' function applied. This parent is one of the
most torn up I have yet stumbled upon. I'll not try to describe
it in words, though it may easily be viewed by resetting the
logmap to zero and backing out of today's image.
Today's scene is located in a jagged clump of debris on the west
side of what I assume is the main bay. The minibrot at the
center of the image closely resembles its parent fractal. The
most impressive feature of the image is the coloring of the
central disk and the five broad arms radiating from this disk.
The name "Blues in the Basin" refers to the bluish tinge I
applied to the central disk and five radiating arms. And for a
change, the program supplied only a small part of this coloring.
The calculation time of a zippy 18 seconds will seem reasonable
to even the most impatient fractalist.
As always, the completely calculated image is posted at:
<http://www.crosscanpuzzles.com/Archives.html>
The high-definition is available at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
And the classic FOTD web site may be accessed at:
<http://www.Nahee.com/FOTD/>
A typical mid-august day prevailed here at Fractal Central
today, with hazy skies, a high temperature of 86F 30C and
humidity within reason. All this lasted until mid-afternoon,
when a thunder-shower moved in and dropped the temperature to
68F 20C. The rest of the day was cloudy and more like autumn
than summer. The fractal cats showed little concern with the
outside conditions. They were more concerned with a line
gauge, (printer's ruler that measures picas), that we laid on
the table.
The humans, in a very human manner, passed the day doing what
needed to be done, though now that our biggest customer has
gone elsewhere, this is sometimes too little to keep us busy.
The next FOTD will be posted in 24 hours. Until then, take
care, and does having faith in something always mean it is
true?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Blues_in_the_Basin { ; time=0:00:18.73-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=recip float=y
center-mag=-0.6449570164524272/-0.0409793368502258\
/4.7e+012/1/72.5/0 params=2.2/0/2/0 periodicity=6
maxiter=750 inside=0 logmap=49 mathtolerance=0.05/1
colors=000402603804A05C06E07G08I09K0FN0IP0JR0HU0JX\
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zanzanzanzbnzbozbozbozboz }
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 -- August 18, 2011 (Rating 7)
Fractal visionaries and enthusiasts:
I believe in honesty in advertising, and when a fractal falls
flat, I admit it. I realize that no one gets rich by being
totally honest about their product, but no one gets rich from
finding fractals either, so I've got nothing to lose by telling
it like it is.
With a rating of an everyday 7, today's deep scene in the
Mandelbrot set barely deserves the word 'deep'. At the modest
magnitude of only 7*(10^15) it is barely beyond conventional
math range, but at least IMO, it has a certain interesting
quality about it that raises it to FOTD standards.
The scene lies in the East Valley of a larger minibrot on a side
filament of the main filament extending from the bud on the
north shore line of the period-2 bud of the M-set.
I named the image "Elephant Trek". I see a few hints of
elephant parts in the scene, though not quite enough trunks and
heads to fully justify the name.
The parameter file takes 25 minutes to finish. In today's
on-the-go world this might be too much precious time, so save
the time by viewing the finished image on the FOTD web site at:
<http://www.crosscanpuzzles.com/Archives.html>
Or view it in high definition at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The original FOTD web site, with all the images and discussions
since April 1997 may be accessed at:
<http://www.Nahee.com/FOTD/>
The day began mostly sunny here at Fractal Central, and
continued this way through a good part of the afternoon. At
post time, showers were in the area, though none had yet reached
FC. The temperature of 86F 30C brought out the best in the
fractal cats. They spent most of the time sleeping.
While the cats were taking it easy, the humans were doing what
needed to be done. When the necessities were finished, we took
it easy also. It is hardly necessary to state that the next
FOTD image will be posted in 24 hours. Until then, take care
and when I was a youngster, I knew that science and technology
would be our salvation. But now I'm not so sure. What it is
doing is making us ever more dependent on the high priests of
the 'Church of Science and Technology'.
I recently overheard a young boy (probably an internet addict),
ask how people ever got along when they didn't have cell phones
and the internet. Well, I was around before cell phones and the
internet, getting along quite well, the same as everyone else,
and I can state that we managed life the same as we are doing it
now without the next big technological advance, which will not
be developed for another 50 years.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Elephant_Trek { ; time=0:25:10.06-SF5 on P4-2000
reset=2004 type=mandel passes=1 center-mag=-1.0188\
8639656655182417/0.30447073015893949152/7.411e+015\
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colors=000F0AF0AF0AE0AE0AE0AE0AE0AE1AE2AE3AE4AE5AD\
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END PARAMETER FILE=========================================
