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From: owner-fractint-digest@lists.xmission.com (fractint-digest)
To: fractint-digest@lists.xmission.com
Subject: fractint-digest V1 #451
Reply-To: fractint-digest
Sender: owner-fractint-digest@lists.xmission.com
Errors-To: owner-fractint-digest@lists.xmission.com
Precedence: bulk
fractint-digest Wednesday, March 1 2000 Volume 01 : Number 451
----------------------------------------------------------------------
Date: Sun, 27 Feb 2000 20:50:57 +1300
From: "Karl Scherer" <karl@kiwi.gen.nz>
Subject: (fractint) floatingpoint=no doesn't work for video mode??
This is a multi-part message in MIME format.
- ------=_NextPart_000_001E_01BF8164.58A84A40
Content-Type: text/plain;
charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable
Dear fractal friends,
I have the following problem:
When I want to generate a picture with video mode,
the video mode obviously ignores my setting floatingpoint=3Dno,
and uses floatingpoint calculation for the image.
Is this a known bug and how can I avoid it?
Please send any answers to my email address.
Thanks for any advice on this,
Karl Scherer
11 Utting Str, Auckland, New Zealand
karl@kiwi.gen.nz
Seen my homepage lately?
http://www.kiwi.gen.nz/~karl
- ------=_NextPart_000_001E_01BF8164.58A84A40
Content-Type: text/html;
charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META content=3D"text/html; charset=3Diso-8859-1" =
http-equiv=3DContent-Type>
<META content=3D"MSHTML 5.00.2919.6307" name=3DGENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT face=3DArial size=3D2>Dear fractal friends,<BR><BR>I have the =
following=20
problem:<BR>When I want to generate a picture with video mode,<BR>the =
video mode=20
obviously ignores my setting floatingpoint=3Dno,<BR>and uses =
floatingpoint=20
calculation for the image.<BR><BR>Is this a known bug and how can I =
avoid=20
it?<BR><BR>Please send any answers to my email address.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>Thanks for any advice on =
this,<BR><BR>Karl=20
Scherer<BR>11 Utting Str, Auckland, New Zealand<BR><A=20
href=3D"mailto:karl@kiwi.gen.nz">karl@kiwi.gen.nz</A><BR>Seen my =
homepage=20
lately?<BR><A=20
href=3D"http://www.kiwi.gen.nz/~karl">http://www.kiwi.gen.nz/~karl</A><BR=
><BR><BR></DIV></FONT></BODY></HTML>
- ------=_NextPart_000_001E_01BF8164.58A84A40--
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------------------------------
Date: Sun, 27 Feb 2000 02:57:57 -0500 (EST)
From: Jim Muth <jamth@mindspring.com>
Subject: (fractint) FOTD, 27-02-00 (Emulsion [4]) (c)
FOTD -- February 27, 2000
Fractal enthusiasts and visionaries:
Today's fractal has no midget. This is because there are no
midgets in the Mandeloid fractals formed by exponents of Z
between zero and one. In fact, there are almost no fractals in
this range. Z^0.7 gives an empty circle; (-Z)^0.7 adds a few
flat bands inside the circle. It is only when Z^0.7 and
(-Z)^0.7 are added together that an adequate fractal appears.
No midgets exist in the entire parent fractal of today's FOTD.
The number of lobes on a Mandeloid midget is one less than the
exponent of Z in the generating formula. Z^3 produces a
Mandeloid with 2 lobes, while Z^2 gives one lobe. Following
this sequence, an exponent of 0.7, such as in today's formula,
should produce midgets with -0.3 lobes. Since such midgets are
impossible, no midgets are in these fractals.
But midget or not, today's picture is an interesting one,
displaying as it does just one of the infinite patterns possible
in the world of fractals. After studying the picture for
several minutes, I got the impression that I was looking at an
emulsion of order and chaos. I therefore named the picture
"Emulsion".
I could just as easily have named it something like "Amoebae" or
"Ice Floes", but the first name that comes to mind is usually
the one I stick with.
At over 4 minutes, the parameter file is just slow enough to
make a download the better choice. That download may be found
at:
<alt.binaries.pictures.fractals>
and at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
The fractal weather today was the antithesis of yesterday's
glorious day, as a mass of cold, damp air came in off the North
Atlantic, and with its low clouds and mist, drove away the
sunshine. The temperature of 45F (7C) was just too chilly for
the fractal cats, who still remember the day in the sun they
enjoyed yesterday.
With the fractal cats worrying me for their late snack, it's
time to shutter the fractal shoppe and call it a night. Until
next time, take care, and perhaps a fractal is as close to the
spiritual as one can reach through the senses alone.
Jim Muth
jamth@mindspring.com
START 20.0 PAR-FORMULA FILE================================
Emulsion { ; time=0:04:43.30 SF5 on a P200
; Version 2000 Patchlevel 8
reset=2000 type=formula formulafile=plusmin.frm
formulaname=MandelPMnew passes=1
center-mag=-7.40285102940337700/-0.32273404088181770\
/177.6565/1/-62.5 params=2.39/0.7/0/0/0/0
float=y maxiter=3000 bailout=25 inside=0
symmetry=xaxis periodicity=10
colors=000g_W<45>jjsjjsjjt<2>kkukkvkmv<2>kpxkrxkqyzt\
ykozwpzjlyrmxhjwokwgivjhuegu<38>DDVCCUCCT<2>99R99RAA\
S<22>SDTTETUET<2>WETXETWDS<35>aJWaJWaKW<3>aKWdNYdNYb\
KX<12>cMYdNYdNY<3>dNYA9G5AH<20>OHQPHRQIR<3>UJTeWOeWO\
<14>g_W
}
frm:MandelPMnew {; Jim Muth
z=p2+10^(-100),
c=pixel+(p3)
a=real(p1)+1, b=imag(p1):
z=a*((-z)^b+z^b)+c,
|z| <= 250
}
END 20.0 PAR-FORMULA FILE==================================
- --------------------------------------------------------------
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------------------------------
Date: Mon, 28 Feb 2000 00:12:49 -0500 (EST)
From: Jim Muth <jamth@mindspring.com>
Subject: (fractint) FOTD, 28-02-00 (Emulsion [5]) (c)
FOTD -- February 28, 2000 (Rating 5)
Fractal enthusiasts and visionaries:
When I saw today's FOTD, I was astounded, for there in front of
me were eight hairpins arranged in a perfect circle around the
quadratic Mandelbrot midget at the center. I had no trouble
deciding on a name for the picture. For purely descriptive
reasons, I named it "Eight Hairpins". It's a rather somber
scene, with a puce, (What color is that?), background framing
the central midget and its eight hairpins. The formula behind
the image combines Z^(-9999) with Z^2 before adding 1/C.
The midgets in the fractal that this formula creates are
unusually hard to find. I had searched for nearly an hour, and
was on the verge of giving up, when I stumbled upon the
combination of parameters that resulted in a fractal with
midgets.
Actually, I found an even more interesting midget earlier in my
exploration, but the midget proved to be beyond the limit of
resolution. We really need someone to build arbitrary precision
math capability into type=formula fractals. And yes, I realize
that this is easier said than done.
Requiring only two minutes to run, the parameter file is
probably the better way of viewing the image. For those who
prefer their fractals precooked, the image file is availably on
Usenet at:
<alt.binaries.pictures.fractals>
and on the web at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
The fractal weather today was changeable. The day started
foggy, then broke into warm sunshine in the early afternoon.
But the enjoyable conditions were ended at nightfall by a heavy
thunder-shower. The temperature of 61F (16C) was just right for
the fractal cats, who spent the afternoon on the porch.
The fractosophy of the day appears in a separate letter posted
to the philofractal list. More will likely appear tomorrow.
Until then, take care and have a fractally good time.
Jim Muth
jamth@mindspring.com
START 20.0 PAR-FORMULA FILE================================
Eight_Hairpins { ; time=0:02:08.32 SF5 on a P200
; Version 2000 Patchlevel 8
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+2.862524370237856/0/7.151653e+009/1/180
params=1/-9999/1.3/2/-0.5/0 float=y maxiter=1500
bailout=25 inside=0 logmap=79 symmetry=xaxis
periodicity=0 sound=off
colors=000aNKZMJWLJ<3>L5IO9KUDM_HOa8O_9MY9KUAI<3>JDB\
HD9EE8<3>4G1<7>RS5UT5WU5<2>dZ7g_7jb7<2>ti9xk9zm9yi8u\
e8rb7oZ7mW7kR6<3>cD5bA5c88<6>d7Me6Oe6Q<3>f5Zf5af5d<3\
>g4pg4sg4v<2>gEz<3>gRvgUugXtg_sgcrgfq<2>gorgrrepp<3>\
YjkWiiUgh<3>Nbc<11>hVVjUUlTT<3>sRR<3>aIGYGDUEA<3>D60\
<7>YBQ`CTbCX<3>lEh<3>jApj9qi8s<3>h4zmOqrgh<6>obXoaWo\
`U<2>nZPnZOo`P<16>wrTxsTxtT<3>zxUrxTjzSbzRVzR<13>LzZ\
Kz_Jz_<2>HzaHzaJz`<13>`zNbzMczL<2>gzIhzHjzI<3>rzLtzM\
vzNxzN<6>dzK
}
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==================================
- --------------------------------------------------------------
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------------------------------
Date: Mon, 28 Feb 2000 00:15:59 -0500 (EST)
From: Jim Muth <jamth@mindspring.com>
Subject: (fractint) FOTD, 28-02-00 (Eight Hairpins [5]) (c)
FOTD -- February 28, 2000 (Rating 5)
Fractal enthusiasts and visionaries:
When I saw today's FOTD, I was astounded, for there in front of
me were eight hairpins arranged in a perfect circle around the
quadratic Mandelbrot midget at the center. I had no trouble
deciding on a name for the picture. For purely descriptive
reasons, I named it "Eight Hairpins". It's a rather somber
scene, with a puce, (What color is that?), background framing
the central midget and its eight hairpins. The formula behind
the image combines Z^(-9999) with Z^2 before adding 1/C.
The midgets in the fractal that this formula creates are
unusually hard to find. I had searched for nearly an hour, and
was on the verge of giving up, when I stumbled upon the
combination of parameters that resulted in a fractal with
midgets.
Actually, I found an even more interesting midget earlier in my
exploration, but the midget proved to be beyond the limit of
resolution. We really need someone to build arbitrary precision
math capability into type=formula fractals. And yes, I realize
that this is easier said than done.
Requiring only two minutes to run, the parameter file is
probably the better way of viewing the image. For those who
prefer their fractals precooked, the image file is availably on
Usenet at:
<alt.binaries.pictures.fractals>
and on the web at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
The fractal weather today was changeable. The day started
foggy, then broke into warm sunshine in the early afternoon.
But the enjoyable conditions were ended at nightfall by a heavy
thunder-shower. The temperature of 61F (16C) was just right for
the fractal cats, who spent the afternoon on the porch.
The fractosophy of the day appears in a separate letter posted
to the philofractal list. More will likely appear tomorrow.
Until then, take care and have a fractally good time.
Jim Muth
jamth@mindspring.com
START 20.0 PAR-FORMULA FILE================================
Eight_Hairpins { ; time=0:02:08.32 SF5 on a P200
; Version 2000 Patchlevel 8
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+2.862524370237856/0/7.151653e+009/1/180
params=1/-9999/1.3/2/-0.5/0 float=y maxiter=1500
bailout=25 inside=0 logmap=79 symmetry=xaxis
periodicity=0 sound=off
colors=000aNKZMJWLJ<3>L5IO9KUDM_HOa8O_9MY9KUAI<3>JDB\
HD9EE8<3>4G1<7>RS5UT5WU5<2>dZ7g_7jb7<2>ti9xk9zm9yi8u\
e8rb7oZ7mW7kR6<3>cD5bA5c88<6>d7Me6Oe6Q<3>f5Zf5af5d<3\
>g4pg4sg4v<2>gEz<3>gRvgUugXtg_sgcrgfq<2>gorgrrepp<3>\
YjkWiiUgh<3>Nbc<11>hVVjUUlTT<3>sRR<3>aIGYGDUEA<3>D60\
<7>YBQ`CTbCX<3>lEh<3>jApj9qi8s<3>h4zmOqrgh<6>obXoaWo\
`U<2>nZPnZOo`P<16>wrTxsTxtT<3>zxUrxTjzSbzRVzR<13>LzZ\
Kz_Jz_<2>HzaHzaJz`<13>`zNbzMczL<2>gzIhzHjzI<3>rzLtzM\
vzNxzN<6>dzK
}
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==================================
- --------------------------------------------------------------
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------------------------------
Date: Mon, 28 Feb 2000 11:29:34 GMT
From: "Rupert Millard" <rupertam@hotmail.com>
Subject: Re: (fractint) anti aliasing
Hello everybody,
I generate my images at double size using Fractint's makemig feature, then I
load a Piclab, unmap it, resize it and save it as a targa. Then I use MGI
photosuite to load the Targa file and save it as a JPEG
From,
Rupert
My website: http://www.geocities.com/kangarupert
My e-mail: rupertam@hotmail.com
PS. Download piclab at: http://www.piclab.com/pub/
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------------------------------
Date: Tue, 29 Feb 2000 00:30:42 -0500 (EST)
From: Jim Muth <jamth@mindspring.com>
Subject: (fractint) FOTD, 29-02-00 (Shredded Minibrot [4]) (c)
FOTD -- February 29, 2000 (Rating 4)
Fractal enthusiasts and visionaries:
Today is leap day in a double-zero year, an event that occurs
but once every 400 years. In recognition of the momentous
event, I have produced a fractal. It's another in my
interminable series of midgets created by the MandelbrotMix4
formula.
I've named the picture "Shredded Minibrot" for no particular
reason. The expression being calculated is (1/Z)-(Z^1.04)+C, a
combination that at first glance appears to offer little hope,
but when iterated exceeds itself in the variety of detail it
creates.
The parameter file runs in 6 minutes. The download of the image
file takes far less time -- only a minute or two. That image
can be found at:
<alt.binaries.pictures.fractals>
and at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
The fractal weather today was very average, though the
temperature of 55F (13C) was a bit above average. A brisk wind
kept the fractal cats holed up inside.
I was too busy today to get much accomplished in the way of
philosophy. But tomorrow is another day, and hopefully I'll
find more time than I did today. Until then, take care, and
never rush a fractal.
Jim Muth
jamth@mindspring.com
START 20.0 PAR-FORMULA FILE================================
Shredded_Minibrot { ; time=0:06:01.36 SF5 on a P200
; Version 2000 Patchlevel 8
reset=2000 type=formula formulafile=multirot.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=-4.09992598708451400/+2.61388098766098500\
/845.7064/1/112.499 params=-1/1.04/1/-1/0/1000
float=y maxiter=1500 bailout=25 inside=0
logmap=71 symmetry=none periodicity=10
colors=000j8X<9>UFUTGURHU<2>MJTKKTJJSHISFESEDRCERAFR\
5GN<3>LOaPQdTShXUk`Wo<2>lYy<3>UPZPNSKLMFJFBH9<3>DWCE\
_DEcD<2>GnFGrGHxE<10>BZTBWUAUV<3>9L_<3>ZeGdjBjo7qu0<\
5>teNubRu`VvYZvWbwTfxPh<8>rajqcjqdk<3>njkpmj<22>PKqO\
JqNIq<2>JErIDrEAu<8>_RbbT`dVZ<3>nbRteN<8>SWaPVbMUd<3\
>AQj<3>B_pBbrBds<3>Bny<7>UrdWraZr_<2>etSgtPguJ<3>mqW\
opZpobrnesmhulkwmp<20>dbVcbUbaT<2>_`Q_`P`_Q<14>jT`kT\
akTb<2>mRdnReq4Z<2>l7Y
}
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==================================
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------------------------------
Date: Tue, 29 Feb 2000 20:51:33 PST
From: "Eleanor Adika" <eladika@hotmail.com>
Subject: (fractint) fractals and art
I have been getting into fractals and fractal shapes and have been leaning
that artists were influenced by and had used fractals shapes in their art
work even before the word fractals was coined. Do any of you have ideas as
to which artists these might be (like Escher maybe), ancient Indian artists,
etc.
Thanks
Eleanor
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------------------------------
Date: Tue, 29 Feb 2000 23:51:34 -0500 (EST)
From: Jim Muth <jamth@mindspring.com>
Subject: (fractint) Re: Bugs and Midgets
Fernando Henrique Bresslau wrote:
Jim Muth wrote:
>>Actually, I found an even more interesting midget earlier in my
>>exploration, but the midget proved to be beyond the limit of
>>resolution. We really need someone to build arbitrary precision
>>math capability into type=formula fractals. And yes, I realize
>>that this is easier said than done.
>You mean when everything gets "square"?? I thought this was an
>annoying bug due to my system or version of fractint, but it
>seems to be different. Sometimes I get the parameters and put
>them into ultrafractal (I usually do tha to obtain 24 bit images,
>anyway) and sometimes am abel to zoom a little bit further...
>Confirm my assumtion, please.
Your assumption is confirmed. Those blocky, square and rectangular
shapes you run into at very large magnitudes are not a bug. They
are a sign that the limit of mathematical precision has been
exceeded. Since I have relatively little experience with Ultra-
Fractal, I cannot confirm that it has deeper zooming capacity. But
I have seen several reports that UF can zoom one or two orders of
magnitude deeper than Fractint.
>Another topic:
>do you also use outside=atan to find the midgets? I mean, when you
>get those difficult to find circles that seem beeing only one
>color... I use the atan, so I can se wher the pattern changes and
>zoom further, until I find something that is interesting with
>outside=iter.
When I search for midgets, I do it in the simplest way possible --
with outside=iter and inside=0. I never use outside=atan to track
down midgets. I find them instead by searching the fractals
created by the MandelbrotMix4 formula for the critical areas, which
appear as shapes that resemble Mandelbrot buds. When I have found
the proper part of the overall fractal, I search for places where
two similar features come together symmetrically. Then it is a
simple matter of zooming in until a midget appears or the symmetry
bottoms out. I keep the inside set to 0 because when this is
done, it causes tiny holes in the fractal to blink when the color-
cycling mode is toggled. This is another way of finding midgets.
Jim Muth
jamth@mindspring.com
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------------------------------
Date: Wed, 1 Mar 2000 00:24:14 -0500 (EST)
From: Jim Muth <jamth@mindspring.com>
Subject: (fractint) FOTD, 01-03-00 (Fractal Shapes [4]) (c)
FOTD -- March 01, 2000 (Rating 4)
Fractal enthusiasts and visionaries:
Today's fractal has been named "Fractal Shapes". This is
probably the most generic, all-purpose name I have yet given
a FOTD. But it is a proper name for the scene that appears
as today's fractal.
The formula that was iterated to produce today's fractal is
(Z^1.1)-(Z^(-0.9))+C -- another of those expressions that
wouldn't be expected to produce anything of value.
But fractals often fail to do what is expected of them, and
today's fractal fails in a glorious manner. Instead of the
empty circle that might be expected, we have an interesting
distorted M-set that contains a mass of -- what can one call
them but shapes.
The shapes are visible on Usenet at:
<alt.binaries.pictures.fractals>
and on the web at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
If you decide to take the long route by running the parameter
file, be prepared to wait 1/2 hour.
The weather was sunny and 59F (15C), which brought out the
fractal cats for an afternoon in the sun.
There is no fractal philosophy today, since I exhausted my
philosophical energy replying to several letters. But I may be
recovered by tomorrow, so check in then. Until then, take care,
and if fractals are the answer, what is the question?
Jim Muth
jamth@mindspring.com
START 20.0 PAR-FORMULA FILE================================
Fractal_Shapes { ; time=0:33:10.22 SF5 on a P200
; Version 2000 Patchlevel 8
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=+0.44694505777246670/-0.68486940913720980\
/7428135/1/29.999 params=1/1.1/-1/-0.9/0/0 float=y
maxiter=36000 bailout=25 inside=0 logmap=412
symmetry=none periodicity=10
colors=000MH4JG4<9>_cYae`cgc<2>hnlipohnp<6>gaqg_qfYq\
<2>fSqfRqdSq<4>WVqUWqTXq<3>MZq<16>hsWjtVkvU<3>pzP<10\
>KrDHqCEpB<3>2n7<3>9_DBXFDTG<2>IILJFMIGN<12>CPPBPPBQ\
Q<2>9SQ9SQARP<3>EOLFNKFOJGUIHKH<3>LHDLHDKGC<7>975864\
654<3>110xyB<3>rsAqr9Unc<3>VhKVgFVfB<4>gQBiMBlJB<3>u\
6Bt9B<4>pLBoNAnPAmRAlT9lV9<3>hc8he8gg9<3>coAbqAbsA<3\
>axEayFazG<3>azJazKazL<2>azN<2>Tzt<3>IzaFzXCzT9zO7zK\
<5>SzNVzNZzO<3>kzPszczzr<3>SzeKzbOzd<4>dzihzkkzl<3>y\
zp<4>`zY_z__zaNz7
}
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==================================
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Date: Tue, 29 Feb 2000 21:38:40 -0800
From: Ken Childress <icent@best.com>
Subject: Re: (fractint) Re: Bugs and Midgets
Jim,
>Your assumption is confirmed. Those blocky, square and rectangular
>shapes you run into at very large magnitudes are not a bug. They
>are a sign that the limit of mathematical precision has been
>exceeded. Since I have relatively little experience with Ultra-
>Fractal, I cannot confirm that it has deeper zooming capacity. But
>I have seen several reports that UF can zoom one or two orders of
>magnitude deeper than Fractint.
I don't believe this to be true. UF doesn't currently support
arbitrary precision. That is coming in the next version. About the
max you can zoom is on the order of 1e17.
Ken...
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Date: Tue, 29 Feb 2000 22:28:33 -0800
From: "Darryl House" <darryl@dcsi.net>
Subject: (fractint) re: fractals and art
This is a multi-part message in MIME format.
- ------=_NextPart_000_000F_01BF8304.50100C00
Content-Type: text/plain;
charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable
Eleanor wrote:
...
I have been getting into fractals and fractal shapes and have been =
leaning=20
that artists were influenced by and had used fractals shapes in their =
art=20
work even before the word fractals was coined. Do any of you have ideas =
as=20
to which artists these might be (like Escher maybe), ancient Indian =
artists,=20
etc.
...
Check out Paul Klee's paintings (Swiss painter [1879-1940]).
A web search will find many of his works.
M.C. Escher is, of course, the quintessential example :-)
- ------=_NextPart_000_000F_01BF8304.50100C00
Content-Type: text/html;
charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META content=3D"text/html; charset=3Diso-8859-1" =
http-equiv=3DContent-Type>
<META content=3D"MSHTML 5.00.3013.2600" name=3DGENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT face=3DArial size=3D2>Eleanor wrote:</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>...</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>I have been getting into fractals and =
fractal=20
shapes and have been leaning <BR>that artists were influenced by and had =
used=20
fractals shapes in their art <BR>work even before the word fractals was=20
coined. Do any of you have ideas as <BR>to which artists these =
might be=20
(like Escher maybe), ancient Indian artists, =
<BR>etc.<BR>...</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>Check out Paul Klee's paintings (Swiss =
painter=20
[1879-1940]).</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>A web search will find many of his=20
works.</FONT></DIV>
<DIV> </DIV>
<DIV><FONT face=3DArial><FONT size=3D2>M.C. Escher is, of course, the =
quintessential=20
example :-)</FONT></FONT></DIV>
<DIV><FONT face=3DArial> </DIV></FONT></BODY></HTML>
- ------=_NextPart_000_000F_01BF8304.50100C00--
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------------------------------
Date: Wed, 1 Mar 2000 01:38:59 -0500 (EST)
From: Jim Muth <jamth@mindspring.com>
Subject: (fractint) Re: Bugs and Midgets
At 09:38 PM 2/29/00 -0800, Ken Childress wrote:
>Jim,
>
>>Your assumption is confirmed. Those blocky, square and rectangular
>>shapes you run into at very large magnitudes are not a bug. They
>>are a sign that the limit of mathematical precision has been
>>exceeded. Since I have relatively little experience with Ultra-
>>Fractal, I cannot confirm that it has deeper zooming capacity. But
>>I have seen several reports that UF can zoom one or two orders of
>>magnitude deeper than Fractint.
>
>I don't believe this to be true. UF doesn't currently support
>arbitrary precision. That is coming in the next version. About the
>max you can zoom is on the order of 1e17.
This confirms what I said. The maximum magnitude Fractint can reach
without switching to arbitrary precision is around 1e13. If UF can
zoom to 1e17, then it exceeds the zoom limit of Fractint by a factor
of around 10,000.
Jim M.
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------------------------------
Date: Wed, 1 Mar 2000 07:32:16 -0500
From: Lee Skinner <LeeHSkinner@compuserve.com>
Subject: (fractint) Re: Bugs and Midgets
Jim and Ken,
>> But I have seen several reports that UF can zoom one or two orders of=
magnitude deeper than Fractint. <<
> I don't believe this to be true. UF doesn't currently support arbitrar=
y
precision. That is coming in the next version. About the max you can zo=
om
is on the order of 1e17. <
I believe that you can zoom in about 3 orders of magnitude more in UF tha=
n
Fractint because UF uses the 80-bit long-double register math, while
Fractint uses only 64-bit instructions. Tim once made an experimental
version of Fractint that allowed a few fractal types to use the long-doub=
le
arithmetic, but it would have been too time-consuming to convert all of
Fractint this way, so it was not further pursued. The nice thing is that=
long-double doesn't slow down the computations like arbitrary precision
does. Converting Mandelbrotmix4 to arbitrary precision would be extremel=
y
slow compared to mandels or julias.
Lee
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------------------------------
Date: Wed, 1 Mar 2000 07:57:30 -0800 (PST)
From: Kenneth Childress <icent@best.com>
Subject: Re: (fractint) Re: Bugs and Midgets
> At 09:38 PM 2/29/00 -0800, Ken Childress wrote:
> >Jim,
> >
> >>Your assumption is confirmed. Those blocky, square and rectangular
> >>shapes you run into at very large magnitudes are not a bug. They
> >>are a sign that the limit of mathematical precision has been
> >>exceeded. Since I have relatively little experience with Ultra-
> >>Fractal, I cannot confirm that it has deeper zooming capacity. But
> >>I have seen several reports that UF can zoom one or two orders of
> >>magnitude deeper than Fractint.
> >
> >I don't believe this to be true. UF doesn't currently support
> >arbitrary precision. That is coming in the next version. About the
> >max you can zoom is on the order of 1e17.
>
> This confirms what I said. The maximum magnitude Fractint can reach
> without switching to arbitrary precision is around 1e13. If UF can
> zoom to 1e17, then it exceeds the zoom limit of Fractint by a factor
> of around 10,000.
My mistake. I didn't understand the distinction you made above.
Ken...
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------------------------------
Date: Wed, 1 Mar 2000 11:21:36 -0500
From: Barry N Merenoff <110144.2274@compuserve.com>
Subject: (fractint) fractals and art
The painting "Nami" (don't know the artist) is an excellent fractal. It i=
s
an abstract depiction of an ocean wave.
Sincerely,
Collin Merenoff
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Date: Wed, 1 Mar 2000 19:03:31 +0100
From: "lele" <lele.boccalatte@ahto.it>
Subject: R: (fractint) fractals and art
> like Escher maybe), ancient Indian artists,
- - Check out Paul Klee's paintings
maybe pollock too
ciau ne',
lele
...WINDOWS: (W) ish (I) (N)ever (D)itched (O)ld (W)orking (S)oftwAre.
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------------------------------
Date: Wed, 01 Mar 2000 16:29:04 -0600
From: DeBow Freed II PhD <bmc1@airmail.net>
Subject: [Fwd: (fractint) fractals and art]
This is a multi-part message in MIME format.
- --------------2844364653A3
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Eleanor -
A place to start might be the latest of Amazon.com's hard-sell items
(ie, listed on their homepage) called Fractals in African Art, or some
such. Otherwise, just input "fractal" to amazon.com, B&Noble, or
Borders' search engines and you'll get a wealth of books on the
intersection of fine art/fractals/symmetry in general, etc.
Good authors to look up are Hargittai(Istvan), and the more popular
typess like Glieck(Chaos), and the whole crew of former and current
Science News correspondents like Ivars Petersen, etc.
You may also wish to check out a great vendor named Lifespring: all
fractal based images which can be obtained as prints, Kodachromes, and
even coffee cups (I like mine).If you're interested, I can provide you
with the name and URL's of the last few places which have old copies of
FracPaint software and other artist-friendly graphics tools.
Finally, at last count, I had 6 books about Escher and fractals.
Actually what he's doing is called "tiling" and "conformal mapping" (a
la Roger Penrose's "kites and darts"), all of which seem to appeal
aesthetically to the same people, including myself.
Good luck,
DeBow Freed md PhD
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Subject: (fractint) fractals and art
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I have been getting into fractals and fractal shapes and have been leaning
that artists were influenced by and had used fractals shapes in their art
work even before the word fractals was coined. Do any of you have ideas as
to which artists these might be (like Escher maybe), ancient Indian artists,
etc.
Thanks
Eleanor
______________________________________________________
Get Your Private, Free Email at http://www.hotmail.com
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------------------------------
Date: Thu, 2 Mar 2000 00:14:34 -0500 (EST)
From: Jim Muth <jamth@mindspring.com>
Subject: (fractint) FOTD, 02-03-00 (Network of Tongues [3]) (c)
FOTD -- March 02, 2000 (Rating 3)
Fractal enthusiasts and visionaries:
Today's fractal is different.
It is different because it has no midget at the center, and also
because it is not much more than a pattern. I named the picture
"Network of Tongues" because it is a view of some familiar
tongue-like objects seen from an unfamiliar direction, in which
the tongues appear as a network of crossing bands.
Regardless of whether one examines the Mandelbrot or Julia
aspects of the formula Z^50000+C, it would never be expected to
produce anything other than a circle with 49999 or 50000
identical invisible tiny bays around the circumfrence.
But today's fractal does not examine the Mandelbrot or Julia
aspects of this extreme formula -- it examines the Rectangular
aspect, cutting through the Julibrot along the imag(z) and
imag(c) axes at a point just inside the hypersurface of the
four-dimensional object.
The criss-crossing parallel bands are actually a sideways view
of a few of the tens of thousands of tiny bays around the
perimeter of the fractal. On the large scale the bands appear
identical, though a deeper examination will reveal the tiny
differences that appear because every band is cut at a slightly
different point.
As a special treat for all time-presses fractalists, the
parameter file renders in a short 19 seconds. And running the
parameter file is really the best way to view the image, since
this preserves the image data.
For those who would still prefer to download the finished image,
that image has been posted to Usenet at:
<alt.binaries.pictures.fractals>
and to the web at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
The fractal weather today was partly cloudy and 61F (16C), which
was enough to lure the fractal cats onto the porch -- at least
while the sun was shining.
Once again today all my philosophical energy was expended on a
separate letter to the philofractal list. I'll try again
tomorrow to return to my topic of fractal spirituality -- but no
guarantee is implied. Until then, take care, and make fractals
while the sun shines.
Jim Muth
jamth@mindspring.com
START 20.0 PAR-FORMULA FILE================================
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nDWttwqfqoUl1K8IJKYIWyLnuJkqIi8t6JjG
}
frm:RectangularN {; Jim Muth
b=p1, z=flip(real(pixel))+p2,
c=flip(imag(pixel))+p3:
z=z^(b)+c,
|z| <= 16
}
END 20.0 PAR-FORMULA FILE==================================
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End of fractint-digest V1 #451
******************************