FOTD -- April 16, 2013 (Rating 5)
Fractal visionaries and enthusiasts:
In today's image it looks like we have come to the end of the
road. The exponent of Z is 1.004, and even searching as much as
I could, I found none of the fractal semi-chaos that produces
the most interesting designs. What I did fine was today's
image, which is quite fractal in nature, remaining the same no
matter how deeply into it one dives.
So I guess this is the end of the road as we approach an expo-
nent of unity, at least with my less-than-light-speed 12-year-
old fractal dedicated machine. A super-speed SOTA unit might
find that some interesting stuff does lie beyond the edges of
today's image, but I'm not going to try to find it.
The rating of a 5 is below FOTD average. The name "Bottom of
the Pile" indicates the position of the generating expression.
The calculation time is inexcusably slow. Over 1/4 hour will
pass between the time the <enter> key is struck and the image-
finished chirp sounds. I recommend turning to one of the web
sites for relief.
The finished image may be viewed at:
<http://www.crosscanpuzzles.com/Archives.html>
with hi-def variations at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
and back images at:
<http://www.Nahee.com/FOTD/>
Lots of clouds, a little sun and a few showers, with a tempera-
ture of 68F 19C made today a pretty average one here at Fractal
Central. The fractal cat Nicholas grabbed my chair when I got
up from it at lunch time to reach for the remote control, and
turned defiant when I tried to return to it. FL was on Nico's
side in the chair dispute.
The next FOTD will be posted within a reasonable time. Until
reason prevails, take care, and it looks like we need tighter
controls on those household items and substances that could be
used in the creation of explosives. It might be impractical but
at least it would make us feel better.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Bottom_of_the_Pile { ; time=0:16:20.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident passes=1
center-mag=-1.04288/-9.26179/34.5/1/163.7/0
params=1.004/0/1.54/2400 float=y maxiter=5000
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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 -- April 15, 2013 (Rating !!)
Fractal visionaries and enthusiasts:
In today's image we're down to Z^(1.009) yet the interesting
images keep coming. I named the scene "Undersea Garden" because
something about it reminds me of an undersea scene.
The parent is another oversized torpedo-like open area with
patches of semi-chaos spotted along the edges. Today's scene is
obviously located in one of these chaotic areas.
The rating of two 'bangs' indicates my surprise at finding
something worthwhile this close to Z^(1) (or straight Z). If I
find anything even closer to unity in future FOTD's, I'll
increase the number of 'bangs' in the rating.
The big drawback is the calculation time of 12 minutes, but
relief is available as always on the web sites.
Nobody runs DOS programs nowadays, so make life easy by viewing
the finished image on the official FOTD web site at:
<http://www.crosscanpuzzles.com/Archives.html>
And be sure to check the hi-def versions and the variations at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The thousands of back images are online at:
<http://www.Nahee.com/FOTD/>
A great mid-April day was fully enjoyed by both cat and humans
here at Fractal Central today. The temperature of 66F 19C and
partly cloudy sky could hardly have been improved.
The next FOTD will soon be posted. Maybe we can find something
even closer to unity. Until whenever, take care, and a certain
woman I know well, who claims to want nothing more than peace on
earth, feels that we should withdraw all US military troops from
foreign countries. This makes good sense, but this same woman's
favorite music is 'classic rock', including protest music from
the Vietnam War era, which all too often seems violently angry
to me. And when I played 'The Planets' for her, thinking she
would enjoy 'Venus, the bringer of peace' she surprised me by
naming 'Mars, the bringer of war' as her favorite section.
Women are sometimes truly hard to understand.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Undersea_Garden { ; time=0:12:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=recip
center-mag=-0.7609181081167751/+4.589745372939182/\
649/1/42.5/0 params=1.009/0/1.9/3500 float=y
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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 -- April 14, 2013 (Rating 7.5)
Fractal visionaries and enthusiasts:
Today's image is a scene in one of the Z^(1.02)+C parent
fractals. Since the complex logarithm is multi-valued, there
are multiple fractals the expression can create. Most of these
fractals are over-sized torpedo-shaped things, though only some
have the interesting fractal semi-chaos along their edges.
Today's scene lies in a bit of this semi-chaos along the
southwest shore line of its parent.
This parent fractal is unusual in that it has a small island-arc
of debris lying inside its main bay, totally disconnected from
the nearest shore. I have not yet checked this island, though
at first glance it appears relatively unpromising.
The name "Not Quite Linear" describes the generating expression.
The rating of 7-1/2 is about average. I did put a little extra
effort into the coloring, though it is debatable whether my work
made much of an improvement.
If you run the parameter file, do not be concerned if nothing
appears on the screen for a minute or two. The top inch or so
of the image is a flat color.
With a calculation time of 12 minutes, the image is a slow one.
The web sites can relieve impatience however.
The completed image is posted at:
<http://www.crosscanpuzzles.com/Archives.html>
Hi-def variations are at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The FOTD back images are at:
<http://www.Nahee.com/FOTD/>
A perfectly average mid-April day passed uneventfully here at
Fractal Central today, with partly cloudy skies and a
temperature of 59F 15C. The fractal cat ignored the weather,
exhausting his energy playing under an afghan. The humans had
a day as average as the weather.
The next FOTD will be posted in one day, maybe two. Until
whenever, take care, and when the going gets tough, get going.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Not_Quite_Linear { ; time=0:12:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident passes=1
center-mag=-21.7682/0.605373/1.223368
params=1.02/0/0/3500 float=y maxiter=3500
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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=========================================
.
The "pentagon-heptagon" image FOTD 1/26/08.
I animated this and uploaded it around Feb 2008, but it wasn't so good; I have long wanted to re-do it and finally have. Much better I think.
1 min 55 sec, 34 meg download.
http://www.fractal-animation.net/vid/j2bh.zip
comments welcome as always
enjoy!
JoTz
.
FOTD -- April 12, 2013 (Rating 7)
Fractal visionaries and enthusiasts:
Today's image is a trip into the world of close-to-linear
fractals. The exponent of Z is 1.009, which is not quite linear
but close enough to give a good idea of how things might go as
the exponent approaches ever closer to unity but never quite
reaches it.
I gave the image the unlikely name "Floating Continents". The
inspiration most likely was a painting by Magritte, which
depicts large chunks of landscape floating in a vast empty space.
The parent fractal is another of those very low order torpedoes,
with today's scene located in a bit of debris at the edge of the
nearly featureless main bay. There might possibly be minibrots
hidden somewhere in this debris, but so far I have found none.
The rating of a 7 is only average; the calculation time is an
annoyingly slow 13 minutes, but this annoyance can be avoided by
checking the finished image on one of the FOTD web sites.
Check the finished image at:
<http://www.crosscanpuzzles.com/Archives.html>
and the hi-def versions at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images are at:
<http://www.Nahee.com/FOTD/>
Rain with occasional grumbles of thunder hung on most all day
here at Fractal Central, while the temperature stopped short at
a rather chilly 50F 10C. The fractal cat wanted more sun but
satisfied himself with more food instead. The humans wanted
less rain.
The next FOTD will be posted in a number of hours. The question
is the exact value of that number. Until whenever, take care,
and why have those 'end of the world' shows become so popular on
TV? Could it be that people are disturbed by what they see
coming in the not-too-distant future?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
FloatingContinents { ; time=0:13:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident passes=1
center-mag=-3.893895417262991/-1.242689299920607/\
1.939e+009/1/-177.7/0 params=1.009/0/2/3500 float=y
maxiter=3600 inside=255 logmap=-1238
periodicity=6 mathtolerance=0.05/1
colors=000rzztycsxGrwGqvGtucrtGnsGmrIlqGkpFjqEinDh\
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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 -- April 10, 2013 (Rating 8.5)
Fractal visionaries and enthusiasts:
The formula behind today's image is Z^(1.09)+C, a hopeless
expression if ever there was one. But as today's image shows,
things need not always be as hopeless as it first appears, and
an expression as close to linearity as today's can produce
interesting fractals when calculated with one of the alternate
complex logarithms.
The parent fractal is shaped like a torpedo, much as the
minibrot at the center of today's image. In the range of
exponents so close to unity, most all the fractals tend to
resemble torpedoes, but this does not mean they are necessarily
all the same. Check the minibrot in today's image, which
actually creates a rather pronounced 3-D effect.
Most of this effect is due to my semi-skilled coloring of
course, and I rewarded myself with a full half point for the
effort. The name "The Mighty Midget" is a comment on how the
image gets so much from so little. The calculation time of
2-1/2 minutes borders on slowness. The web sites are there to
avoid impatience.
So make life easy. Check the finished image at:
<http://www.crosscanpuzzles.com/Archives.html>
And check the hi-def variations at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images are filed online at:
<http://www.Nahee.com/FOTD/>
Midsummer arrived with a bang here at Fractal Central today,
with a temperature of 86F 30C and an afternoon thunder-shower.
The fractal cat said enough heat is enough and started searching
for a cooler spot than the window shelf. The humans meanwhile
had an average day.
The next FOTD will be posted before long, though I'm not sure of
the route. Until whenever and however, take care, and be ever
aware of the dangers inherent in making hasty decisions that
will do nothing but make someone feel better.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
The_Mighty_Midget { ; time=0:02:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident
center-mag=-0.192308145885724/-1.991515836863857/\
2998.507/1/57.5/0 params=1.09/0/525/0 float=y
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zzzzzzzzzzzzzzzzzzzzzzzzz }
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 -- April 09, 2013 (Rating 8)
Fractal visionaries and enthusiasts:
Today's image takes us back in time to the halcyon days of the
MandNewt series of formulas, in particular the MandNewt11
formula. Don't ask what this series of formulas does or was
supposed to do. I haven't the foggiest idea, but one thing it
certainly does is create some unusual images.
I named the image "Mandy in the Sky". If I had more room, I
might have added 'with diamonds' since the sky surrounding the
not-quite-critical Mandelbrot set is filled with rings of
sparkling points that could be either stars or diamonds.
The rating of an 8 indicates that, even though the image may not
be the best of all time, it is new and different enough to be
given a rating that is notably above average.
The fireball fast calculation time of 15 seconds will seem to
pass in a flash once the diamonds begin appearing at the top and
bottom of the screen. And viewing the image on one of the web
sites will eliminate the flash.
Check the finished image at:
<http://www.crosscanpuzzles.com/Archives.html>
without the task of calculating it.
Variations in high-definition are online at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
And the FOTD back images are posted at:
<http://www.Nahee.com/FOTD/>
The preview of summer continued here at Fractal Central today,
with a temperature of 81F 27C, gentle winds, and a blue sky
filled with puffy white clouds. The fractal cat spent most of
the day watching the birds, which were quite active in the area.
The humans made it through another day with nothing going wrong
-- a task that is not as easy as it might first appear.
The next FOTD will be posted in the appropriate time. Until
whenever, take care, and we know that physical matter is real
because it is there even when no one is looking, but if no one
ever looks, how do we know that the matter is there?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Mandy_in_the_Sky { ; time=0:00:15.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandNewt11 passes=1 center-mag=1.87368\
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hzHjzFlzEnzCgzL_zTTzaLziEzr6zz6zz6zz6zy6zy5zy5zy5z\
x5zx5zx5zx5zw5zw4zw4zw4zv4zv3zi2zX1zK0z74z98zBCzEG\
zGKzIOzKTzNXzP`zRdzThzVlzYpz_tzaozbkzbfzcbzcYzdUzd\
PzePzf6zA8zEBzJDzNGzRIzVLz_Nzcpz3oz5nz6mz8lz9kzBiz\
DhzEgzGfzIezJdzLczMbzOazQ`zRZzTYzVXzWWzYVzZUz`yzUy\
zVyzWxzXxzYxzPwzHwz8mzHdzPfzRhzSizUkzWmzXozZpz_rza\
`zlKzvMzpNzjPzdQzZSzTTzNVzHTzIRzJOzKMzLKzLIzMFzNDz\
OHzTLzXPzaSzfWzj_zoWzmSzjOzhLzeHzcDz`9zZ5zWCz_IzbP\
zfVzjazmgzqdzlbzh_zcXz_UzVSzQPzMMzHazPqzXqzTqzPqzL\
rzIrzErzArz6mzDhzJdzQ_zXVzbQziQziQziQziPzjPzjPzjPz\
j6zT6zP6zL3zI6zHLSnPzPSzP }
frm:MandNewt11 {; Jim Muth
z=g=pixel, a=real(p1), b=imag(p1), c=real(p2),
d=imag(p2), e=real(p3), f=imag(p3):
h=z^a+(g-b)*z-f
j=c*z^d+g
z=z-e*h/j,
.0000000000000000000000000000005 <= |h| }
END PARAMETER FILE=========================================
