FOTD -- January 04, 2006 (Rating 5)
Fractal visionaries and enthusiasts:
The Fractint version of today's discussion is short. Most of my
energy went into writing the philofractal version of the discus-
sion, which is far longer and wanders into the field of popular
relativity.
Today's image is part of the fractal that results when portions
of Z and (1/Z) are combined, and (1/C) is added. I named it
"Luna Moth" when an early version reminded me of one of those
large colorful moths sometimes seen at night. The moth-effect
has long since gone the way of the moths themselves, but the
name remains.
The rating of a 5 says it all. Or perhaps it says nothing,
since a rating of 5 is average. The render time of under 6 min-
utes assures that not too much time will have been wasted if the
image proves disappointing. Another way to avoid a let-down is
to visit the FOTD web site at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
and download the finished GIF image from there.
An overcast, cold, raw, drizzly day here at Old Fractal Central
on Tuesday kept the fractal cats confined to the indoors. They
were reasonably peaceful considering the situation, and they
fully enjoyed their extra treat of tuna. My day was notably
un-notable. The next FOTD will appear in 24 hours, plus or
minus an hour or two. Until then, take care, and if you have
done something wrong, simply undo it.
Jim Muth
jamth(a)mindspring.com
jimmuth(a)aol.com
START PARAMETER FILE=======================================
Luna_Moth { ; time=0:05:55.56--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.35947928831290990/+0.000111589793707\
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frm:MandelbrotMix4 {; 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,
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=========================================
Here is an idea I've been working on for some time intersecting fractals and chaos theory, philosophy, and (dare I say it) religion:
http://www.sonic.net/~jot/kk/philosophraktal.html
Any and all feedback (+ve or -ve) welcome.
Stay amazed!
JoTz
FOTD -- January 03, 2006 (Rating 6)
Fractal visionaries and enthusiasts:
I'm back . . . again! And this time things are caught up enough
for me to feel reasonably confident there will be no further
interruptions to the steady flow of FOTD fractals for at least
two weeks . . . that is unless the unexpected happens.
When I opened my e-mail box yesterday for the first time in two
days, I was surprised by the number of spam letters offering
fake Rolex watches. I was expecting a flood of impossibly cheap
mortgage offers. What is it with Rolex watches? What do they
do other than measure time? Are they some kind of a status
symbol? And why would I want a Rolex. My 29-dollar digital
watch shows the time as accurately as a Rolex and wakes me up
with an annoying buzz.
I might not know much about the latest trends in watches, but
I'm reasonably hip about fractals. Today's trip into iteration
land takes us to the ghost of the fractal generated when 0.2
negative parts of Z^(-4.2) are combined with negative Z^(-1.6)
and (1/C) is added. This parent fractal is typical of fractals
generated by negative powers of Z. It is grossly oversized,
with no organized shape at all. The filaments extending from
the buds end in filament rings, with disconnected bits of debris
scattered inside these rings. Today's scene is an evaporated
one, which means it consists totally of trapped 'inside' points.
It is located in one of these disconnected islands of chaos.
I named the image "Coronal Display" and rated it at a 6. The
name came to me at random. Considering the lack of effort, the
rating seems fair.
The quite brief render time of 1-1/2 minutes means that those
who are disappointed with today's image will have wasted little
computer time in calculating it. Those who download the
completed GIF image from the FOTD web site at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
will have wasted almost no time at all.
On a minor philosophical note, a couple nights ago I watched a
TV program on which the rational skeptics once again debunked
the easy-to-debunk professional psychic fortune tellers who
dared to appear, pretty much proving to the skeptics' satisfac-
tion that foretelling the future is impossible.
The skeptics' victory was hollow, for they had little competi-
tion. They merely demonstrated once again that professional
fortune tellers are about as accurate as would be expected by
chance. They did not prove that getting hints of future events
is impossible. (Such a proof is impossible!) Nor did they
prove that it does not happen. (It does happen!) I know from
experience that not only is it possible for information to
travel backward in time, but sometimes it actually does happen,
and somehow it works its way into a person's awareness. The
frustration is that I have no way of convincing skeptics of the
truth of precognition.
I suspect that the answer lies in the nature of time. The
theory of relativity pretty much does away with the universal
sequential time that we take for granted in our everyday lives.
Such time is an illusion. But what is really there? What
permits hints of future events to travel into the past? I will
have more to say about this topic in future philo-FOTD messages.
Wet days alternated with dry days here at the Old Fractal Cen-
tral over the holiday. The cats' moods varied as widely as the
weather. Luckily, the supply of tuna held out. In my depart-
ent the work is almost caught up, though not yet quite there.
Another day will do the job. The next FOTD will appear in 24
hours. Until then, take care, and things are never so good that
they cannot get better.
Jim Muth
jamth(a)mindspring.com
jimmuth(a)aol.com
START PARAMETER FILE=======================================
Coronal_Display { ; time=0:01:32.05--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=b
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frm:MandelbrotMix4 {; 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,
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=========================================
