FOTD -- January 01, 2004 (Rating 7)
Fractal visionaries and enthusiasts:
Due to an unplanned busy night, today's discussion is not only
late, it is very short and to the point.
I named the fractal "Happy New Fractals" because it is the first
in a year-long series of hopefully superior images. The
generating formula combines portions of Z^(-5.1) and Z^(-1.5),
and adds (1/C). The resulting fractal consists of the usual
indescribable Mandeloid, with a separate area of chaos lying
just southwest of the main fractal unit. Today's scene lies in
this separate area of chaos.
Most of the effect was achieved by rendering the image with the
outside set to 'tdis' and the inside set to 'fmod'. The rating
of an above-average 7 makes the 3-minute render time worth the
effort.
The image can also be seen by downloading it from:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
The last day of the year passed uneventfully here at Fractal
Central. With lots of sun and a temperature of 54F 12C, the day
was pleasant enough for the cats to enjoy almost two hours in
the wild outdoors of the yard. When midnight came and people
began setting off fireworks, they cats took shelter in their
closet in the spare room, where they were still sleeping when
the night ended. Today is the first day of another year, and it
is starting the same as yesterday. I expect the cats will be
acceptably happy.
I will be unable to comment on my happiness until 8784 hours
have passed. So check back then to see how the year goes.
Luckily, the next FOTD will appear far before then. It will
appear in 18 hours in fact. Until then, take care and happy
recovery.
Jim Muth
jamth(a)mindspring.com
jimmuth(a)aol.com
START 20.0 PAR-FORMULA FILE================================
Happy_New_Fractals { ; time=0:03:25.14--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix2 function=recip passes=1
center-mag=-2.466097773964582/-1.765694766786944/4\
37507.9/1/22.5/-4.23133679e-007 float=y params=1.5\
/-5.1/5.1/-1.5/0/0/0/0 maxiter=1000 inside=fmod
proximity=0.7 outside=tdis periodicity=10
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MX5O`GYdRfhao0bl7_mEYmLVm }
frm:MandelbrotMix2 {; 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, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END 20.0 PAR-FORMULA FILE==================================
FOTD -- January 03, 2003 (Rating 7)
Fractal visionaries and enthusiasts:
Today's fractal continues the theme of the past 3 fractals. We
combine portions of Z^(-1.7) and Z^(-1.7), and add (1/C) to get
a many-bayed parent Mandeloid with a separate ring of chaos
lying some distance to the north. Today's scene lies in this
outlying ring of chaos rather than in the main body of the
fractal itself.
But today's image is an 'evaporated' one, in which all 'outside'
parts have shrunk until they vanished, so speaking of bays and
outlying areas of chaos makes little sense. The escape radius
has been raised so high that the parent fractal has been reduced
to a sea of trapped points. Luckily, these points do interes-
ting things in their confinement, which can be revealed by
rendering the scene with the inside set to 'bof61'.
The trapped points that make up today's image remind me of a
seasonal wreath. I named the image "Iterative Wreaths", needing
no reason at all for using the plural. The rating of 7 is high
enough to justify the brief 2 minutes required to render the
image from the included parameter file. The image may also be
seen by downloading it from:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
Friday was another routine day here at Fractal Central, both
with the weather and the activity of the fractal cats. The
pleasant winter sun and temperature of 54F 12C was just enough
to give the cats a couple hours in the yard. When evening came
the duo was ready to settle for the night. Today is starting
foggy. We'll see what develops.
It's now time to wrap up the little work yet to be done and
enjoy a day with not much else to do but relax. Between bouts
of relaxation, I'll find the fractal that will appear as
tomorrow's FOTD. Until next time, take care, and take time out
to ponder a fractal.
Jim Muth
jamth(a)mindspring.com
jimmuth(a)aol.com
START 20.0 PAR-FORMULA FILE================================
Iterative_Wreaths { ; time=0:02:05.34--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-1.12781826180191500/+3.156480392217424\
00/288207.2/1/152.5/-1.82667648160328433e-008
params=1.7/-7.1/7.1/-1.7/0/1e+100 float=y
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upTrmVnQliKeaFZVASN5MG8PH }
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 20.0 PAR-FORMULA FILE==================================
On Tue, 30 Dec 2003, Jonathan Osuch wrote:
> On Monday 29 December 2003 08:53 pm, you wrote:
>
> > I'll send some of both for your entertainment, but I think this
> > problem is as old as the code for the palette. The image looks fine
> > in PSP, but the squares get very rectangular in fractint. Without the
> > borders, fractint's own palette would be similar (but not mirrored at
> > every other row).
> >
> > Oh, and BTW, maxiter is potentially irrelevant with ATAN. About
> > twenty moons ago, I jenerated something that only did one
> > [iteration] and still ended up with many colours.
>
> Ah, I see. The code for atan looks like this:
>
> coloriter = (long)fabs(atan2(new.y,new.x)*180.0/PI);
>
> I'll change it to:
>
> coloriter = (long)fabs(atan2(new.y,new.x)*colors/PI);
>
> I'll have to put in some code for backwards compatibility, so it won't quite
> look like that. Thanks for pointing out the problem.
Thanks for taking orders like you had children to avoid. I might
look for an arbitrary number of colours from ATAN, but for the most
part, I think darkening or lightening the imaj in PSP will do. The
important problem, IMV, is the rounding from 24bits to eighteen.
I don't really like using a graymap that isn't exactly gray,
although it tells me that there's a hack for getting 768 levels of gray
under hicolor and truecolor (assuming gamma=1) and that some users might
appreciate GIFs that accomodate EGA. They're using computers that are
more than ten years old, so I appreciate their dedication to alleviating
the burden on our landfills.
I think this might be the source of problems for stereograms,
too. Or it might mask the problem. Maybe I should try 1bit stereograms.
For printing, there is physically no other kind, and I'm kinda curious
as to whether that means I must dither.
> > BTW, if you like Linux, but you don't hav twelve days to
> > download three CDs over POTS, then you might look at Linux Format
> > magazine. It's a lot messier than their
> > mandrakelinux.com/en/92errata.php3 paje would tell you, but it's still a
> > lot easier to waste more than 64meg of RAM under Linux than under DOS.
>
> Already use a Mandrake distribution. Planning to switch to SUSE.
Got any particular reason? Some inviting things are on my DVD,
but I don't think I'll ever get around to using everything that I
installed. (And one reason I'm in AIX over DOS now, is because the last
time I made sndconfig work, I used DOS to disable my card, first).
Debian seems to be the one for network-only distribution. And there's an
Edmonton based distribution, MaxOS, that people I've met might run.
