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From: owner-fractint-digest@lists.xmission.com (fractint-digest)
To: fractint-digest@lists.xmission.com
Subject: fractint-digest V1 #444
Reply-To: fractint-digest
Sender: owner-fractint-digest@lists.xmission.com
Errors-To: owner-fractint-digest@lists.xmission.com
Precedence: bulk
fractint-digest Sunday, February 6 2000 Volume 01 : Number 444
----------------------------------------------------------------------
Date: Thu, 03 Feb 2000 09:37:48 +0000
From: "Kirsteen Duncan " <DUNC-MS0@wpmail.paisley.ac.uk>
Subject: (fractint) Newton basin
Hello,
I would like to create my own formula that is based on the algorithm
newtbasin for finding the roots of z^3 - z. The pixels should be
coloured according to which root the iterates converge to.
How do I code this colouring of the pixels?
Kirsteen.
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------------------------------
Date: Thu, 3 Feb 2000 09:27:22 -0200
From: "Fernando Henrique Bresslau" <wnto@yahoo.com>
Subject: Re: (fractint) FRACTINT animators
Some time ago I had some problem with an early version of partobat, and Nick
Grasso pointed me to this address:
http://www.hajoweber.de/download/program/partob35.zip
It┤s working.
Fernando
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------------------------------
Date: Thu, 3 Feb 2000 11:36:02 -0500
From: dukay@interlog.com
Subject: Re: (fractint) FRACTINT animators
> I used to have a quirkly little program that produced
> batch files to render animated sequences using fractint-produced
> gif files as input.
try boxtop sofware's home page and get gifanimatot
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------------------------------
Date: Thu, 3 Feb 2000 13:44:06 -0300
From: "Fliguer, Miguel" <M_Fliguer@unifon.com.ar>
Subject: RE: (fractint) New galleries
This message is in MIME format. Since your mail reader does not understand
this format, some or all of this message may not be legible.
- ------_=_NextPart_001_01BF6E65.E3057080
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charset="iso-8859-1"
>>>> I'm glad of reading (on the recent mail from Tim) that you
>>>> requested some specific features to be included in patch 6
>>>> for Fractint v20. I'm hoping to see the resultant marvels
>>>> on a future Fractint gallery on your site.
>>
>> Check out the examples included in fradev.zip.
>>
>> Cheers,
>>
>> - Sylvie
I got fradev.zip. Coming from you, of course I was
expecting some cool and interesting pictures, but I
was not prepared for the stuff in Lake.par... Thanks
for the commented formula !!!
Miguel
- ------_=_NextPart_001_01BF6E65.E3057080
Content-Type: text/html;
charset="iso-8859-1"
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2//EN">
<HTML>
<HEAD>
<META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=iso-8859-1">
<META NAME="Generator" CONTENT="MS Exchange Server version 5.5.2448.0">
<TITLE>RE: (fractint) New galleries</TITLE>
</HEAD>
<BODY>
<BR>
<P><FONT SIZE=2>>>>> I'm glad of reading (on the recent mail from Tim) that you </FONT>
<BR><FONT SIZE=2>>>>> requested some specific features to be included in patch 6</FONT>
<BR><FONT SIZE=2>>>>> for Fractint v20. I'm hoping to see the resultant marvels</FONT>
<BR><FONT SIZE=2>>>>> on a future Fractint gallery on your site.</FONT>
<BR><FONT SIZE=2>>></FONT>
<BR><FONT SIZE=2>>> Check out the examples included in fradev.zip.</FONT>
<BR><FONT SIZE=2>>></FONT>
<BR><FONT SIZE=2>>> Cheers,</FONT>
<BR><FONT SIZE=2>>></FONT>
<BR><FONT SIZE=2>>> - Sylvie</FONT>
</P>
<P><FONT SIZE=2>I got fradev.zip. Coming from you, of course I was </FONT>
<BR><FONT SIZE=2>expecting some cool and interesting pictures, but I </FONT>
<BR><FONT SIZE=2>was not prepared for the stuff in Lake.par... Thanks</FONT>
<BR><FONT SIZE=2>for the commented formula !!!</FONT>
</P>
<P><FONT SIZE=2>Miguel</FONT>
</P>
<BR>
</BODY>
</HTML>
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------------------------------
Date: Thu, 03 Feb 2000 23:08:20 -0500
From: "Damien M. Jones" <dmj@fractalus.com>
Subject: Re: (fractint) FRACTINT animators
Larry,
- I used to have a quirkly little program that produced
- batch files to render animated sequences using fractint-produced
- gif files as input.
I believe I have this program, but I can't locate all the included files
for it. However, Spanky appears to have a later version, called FAE:
http://spanky.triumf.ca/pub/fractals/programs/IBMPC/FAE210B.ZIP
This should be what you're looking for.
Damien M. Jones \\
dmj@fractalus.com \\ Fractalus Galleries & Info:
\\ http://www.fractalus.com/
Please do not post my e-mail address on a web site or
in a newsgroup. Thank you.
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------------------------------
Date: Fri, 4 Feb 2000 01:10:11 -0500 (EST)
From: Jim Muth <jamth@mindspring.com>
Subject: (fractint) FOTD, 04-02-00 (Lente Loco) (c)
FOTD -- February 04, 2000
Fractal enthusiasts and visionaries:
When I saw today's fractal midget, I thought how crazy the
coloring is. Right then and there I named the picture "Lente
Loco".
The image results from adding a tiny bit of Z^3 to Z^2 then
adding C. The parameter file is rather slow, making a download
of the image the better choice. That image can be found at:
<alt.binaries.pictures.fractals>
and also at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
The fractal weather was cloudy and cold today, with a few
flurries of snow and a temperature of 30F (-1C) that kept the
fractal cats Thomas and Tippy indoors.
Yours truly, the fractalist, had good intentions about
describing in today's FOTD the fourth of the six regular 4-D
hypersolids. But due to a virus bug of some sort that has left
me with almost no energy, I'll have to put it off until
tomorrow, and humbly seek forgiveness for my tardiness.
Until then, take care, and never give up fractaling.
Jim Muth
jamth@mindspring.com
START 20.0 PAR-FORMULA FILE================================
Lente_Loco { ; time=0:22:35.30 SF5 on a p200
; Version 2000 Patchlevel 6
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=+17.07411975465249/+28.9178069806534600/4\
05929.1/1/-90 params=2/2/0.03/3/-0.993/100000 float=y
maxiter=6000 bailout=25 inside=0 logmap=213
symmetry=none periodicity=10
colors=0009DG9DI<4>OINRJP<3>bQTeSUhUVkWXmXY<4>sWctWd\
uWe<3>yWi<3>e`Y`aVWbS<3>DfG<33>5BC5AC59C<3>45C02D<10\
>aV8dX7h_7<2>rf5ui5yj3<34>nofnognoh<2>mokmollmi<6>ha\
Ph`MgZJ<2>fUAeS7dS2<20>sDQtCSuBT<2>w9Wx9XyAZxB_xC`yD\
azEb<17>zWczXczYc<5>zaczaczbc<42>zcc
}
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: Thu, 03 Feb 2000 03:34:54 +0500
From: Abhishek Roy <asm12@bom5.vsnl.net.in>
Subject: (fractint) FOTD(A Dazzling Midget)
The image was simply beautiful. More than makes up for a lot of mediocre
ones.. :-) Really, I think you ought to mark the good ones with a '*'
indicating that it well worth the wait on a slow computer (for those
without usenet access).
Thank you
Abhishek Roy
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------------------------------
Date: Fri, 4 Feb 2000 18:16:11 -0000
From: "stuart marshall" <stuart.marshall99@virgin.net>
Subject: Re: (fractint) New galleries
This is a multi-part message in MIME format.
- ------=_NextPart_000_0087_01BF6F3B.EA38AE40
Content-Type: text/plain;
charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable
RE: (fractint) New galleriesBEAUTIFUL work!!!!
Stuart Marshall
Tel: (+44)0208 368 0206
http://freespace.virgin.net/stuart.marshall99
=20
----- Original Message -----=20
From: Fliguer, Miguel=20
To: 'fractint@lists.xmission.com'=20
Sent: Wednesday, February 02, 2000 3:41 PM
Subject: RE: (fractint) New galleries
>>> I just added three galleries to my site (#19, 20, and 21) for a =
total of=20
>>>30 new images. I've also updated my UF formulas and parameters =
files.=20
>>> <snip snip snip>=20
>>> <http://www.fractalus.com/sylvie/homepage.htm>=20
>>> - Sylvie=20
As always, your images are simply incredible !!!=20
Gnarl01 and mship10 are some of the best spirals I ever=20
seen in my life.=20
I'm glad of reading (on the recent mail from Tim) that you=20
requested some specific features to be included in patch 6=20
for Fractint v20. I'm hoping to see the resultant marvels=20
on a future Fractint gallery on your site.=20
Regards,=20
Miguel Fliguer - Buenos Aires, Argentina=20
http://members.xoom.com/fliguer/franktal.html=20
- ------=_NextPart_000_0087_01BF6F3B.EA38AE40
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><TITLE>RE: (fractint) New galleries</TITLE>
<META content=3D"text/html; charset=3Diso-8859-1" =
http-equiv=3DContent-Type>
<META content=3D"MSHTML 5.00.2014.210" name=3DGENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT face=3DArial size=3D2>BEAUTIFUL work!!!!</FONT></DIV>
<DIV> </DIV>
<DIV>Stuart Marshall<BR>Tel: (+44)0208 368 0206<BR><A=20
href=3D"http://freespace.virgin.net/stuart.marshall99">http://freespace.v=
irgin.net/stuart.marshall99</A><BR> </DIV>
<BLOCKQUOTE=20
style=3D"BORDER-LEFT: #000000 2px solid; MARGIN-LEFT: 5px; MARGIN-RIGHT: =
0px; PADDING-LEFT: 5px; PADDING-RIGHT: 0px">
<DIV style=3D"FONT: 10pt arial">----- Original Message ----- </DIV>
<DIV=20
style=3D"BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: =
black"><B>From:</B>=20
<A href=3D"mailto:M_Fliguer@unifon.com.ar"=20
title=3DM_Fliguer@unifon.com.ar>Fliguer, Miguel</A> </DIV>
<DIV style=3D"FONT: 10pt arial"><B>To:</B> <A=20
href=3D"mailto:'fractint@lists.xmission.com'"=20
title=3Dfractint@lists.xmission.com>'fractint@lists.xmission.com'</A> =
</DIV>
<DIV style=3D"FONT: 10pt arial"><B>Sent:</B> Wednesday, February 02, =
2000 3:41=20
PM</DIV>
<DIV style=3D"FONT: 10pt arial"><B>Subject:</B> RE: (fractint) New=20
galleries</DIV>
<DIV><BR></DIV>
<P><FONT size=3D2>>>> I just added three galleries to =
my site=20
(#19, 20, and 21) for a total of</FONT> <BR><FONT =
size=3D2>>>>30 new=20
images. I've also updated my UF formulas and parameters =
files.</FONT>=20
<BR><FONT size=3D2>>>> <snip snip snip></FONT> =
<BR><FONT=20
size=3D2>>>> <<A=20
href=3D"http://www.fractalus.com/sylvie/homepage.htm"=20
=
target=3D_blank>http://www.fractalus.com/sylvie/homepage.htm</A>></FON=
T>=20
<BR><FONT =
size=3D2>>>> -=20
Sylvie</FONT> </P>
<P><FONT size=3D2>As always, your images are simply incredible =
!!!</FONT>=20
<BR><FONT size=3D2>Gnarl01 and mship10 are some of the best spirals I =
ever=20
</FONT><BR><FONT size=3D2>seen in my life. </FONT></P>
<P><FONT size=3D2>I'm glad of reading (on the recent mail from Tim) =
that you=20
</FONT><BR><FONT size=3D2>requested some specific features to be =
included in=20
patch 6</FONT> <BR><FONT size=3D2>for Fractint v20. I'm hoping to see =
the=20
resultant marvels</FONT> <BR><FONT size=3D2>on a future Fractint =
gallery on your=20
site.</FONT> </P>
<P><FONT size=3D2>Regards,</FONT> <BR><FONT size=3D2>Miguel Fliguer - =
Buenos=20
Aires, Argentina</FONT> <BR><FONT size=3D2><A=20
href=3D"http://members.xoom.com/fliguer/franktal.html"=20
=
target=3D_blank>http://members.xoom.com/fliguer/franktal.html</A></FONT> =
</P></BLOCKQUOTE></BODY></HTML>
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------------------------------
Date: Fri, 4 Feb 2000 16:17:42 -0200
From: "Fernando Henrique Bresslau" <wnto@yahoo.com>
Subject: (fractint) Color cycling problem with patch 6
Hi. I deicided to try writing some formulas, and did two very silly ones.
Nothing specila, but I zoomed in a bit in one of them. The strange thing was
that I couldn┤t cycle the colors anymore. Is it a problem with fractint or
does it have anything to do with my formula (although I cna┤t imagine why).
I saved the parameters and the formula and restarted fractint, calculated
the image again, and the problem is still there. I┤m sending the pars to see
if anybody can reproduce the problem. I didn┤t try with version 20.0 (it┤s
zipped somewhere in the dark places of my pc), only with version 20.0.6.
Yes, that was it.
Fernando
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------------------------------
Date: Fri, 04 Feb 2000 21:19:11 -0600
From: Tim Wegner <twegner@swbell.net>
Subject: (fractint) Mandel lake
Here is the Sylvie Gallet's par/frm file included with the developer's version of fractint.
This won't work with version 20.0, you need 20.0.6.
The images are quite different than anything fractint has done before. Note the
variables center, magxmag, and rotskew. These are new predefined constants that
hold the center/mag zoom coordinates.
Tim
;
; This file requires fractint 20.0.6 or later
;
frm:Mandel_lake { ; Sylvie Gallet, Jan 16, 2000
;
; p1: Julia seed
; real part of p2: bailout value
; imag part of p2: 0 = lake transform disabled
; any value between 0 and 100: water level in % of
; the screen height (0 = bottom, 100 = top)
; real part of p3: amplitude of the wave (try 0.2)
; imag part of p3: frequency (try 300)
; This formula uses the new predefined variables:
; center = (x , y)
; magxmag = (mag, xmagfactor)
; rotskew = (rot, skew)
bailout = real(p2)
; Lake transformation
; -------------------
if (imag(p2) > 0 && imag(p2) <= 100)
level = imag(p2) / 100 ; water level
ampl = real(p3) ; amplitude of the wave
freq = imag(p3) ; frequency
angle = real(rotskew * pi / 180)
exp_irot = exp(-flip(angle))
h = 1 / real(magxmag)
w = h / 0.75 * imag(magxmag)
tanskew = tan(imag(rotskew * pi / 180))
; The complex numbers u and v are defined as follow:
; u = bottom_right_corner - bottom_left_corner
; v = top_left_corner - bottom_left_corner
u = 2 * w * exp_irot
v = 2 * h * (tanskew + flip(1)) * exp_irot
; Bottom_left_corner:
z3rd = center + (-w-h*tanskew - flip(h)) * exp_irot
z = pixel - z3rd
; solves the equation z = a*u + b*v which is equivalent to the system:
; re_z = a * re_u + b * re_v
; im_z = a * im_u + b * im_v
; the solution (a,b) is:
; | re_z re_v | | re_u re_z |
; | im_z im_v | | im_u im_z |
; a = --------------- b = ---------------
; | re_u re_v | | re_u re_v |
; | im_u im_v | | im_u im_v |
;
; Only b is used and 0 <= b <= 1
; b = 0 <==> pixel at the bottom of the screen
; b = 1 <==> pixel at the top of the screen
;
; Since the formula parser uses complex numbers, I thought the
; easiest way to calculate b was:
b = imag(conj(u)*z) / imag(conj(u)*v)
; the heart of the lake transform:
if (b <= level)
dy = level - b
z = z + 2*dy * (1+ampl*sin(freq*dy^0.2)) * v
endif
z = z + z3rd
else
z = pixel
endif
; Classic mandel/julia formula
if (ismand)
c = z
else
c = p1
endif
:
z = z*z + c
|z| <= bailout
}
mandel_lake_01 { ; . t= 0:00:02.86
; Copyright Sylvie Gallet, Jan 16, 2000
; <sylvie_gallet@compuserve.com>
; t=calc time using a PII 300 at 320 x 200
; Version 2000 Patchlevel 6
reset=2000 type=formula formulafile=_lake.frm
formulaname=mandel_lake ismand=y passes=1
center-mag=-0.444738/0/0.6666671
params=0/0/512/40/0.3/200 float=y inside=atan
outside=real decomp=256 cyclerange=0/255 sound=off
colors=GXf<3>DTcCSbCRa<3>AO_AN_9MZ<4>5HV4GU3FT<3>0CQ<32>mqso\
rtpsu<2>uwwvxxvxx<2>uyytyytxy<29>esydsydsy<2>brybqzbox<24>fM\
XfLWgJV<3>eFQdEPbDO<6>S6GR5FP4EN3DL2CK1BJ0A<23>DSaDTbDUcCVdC\
WeBXf<3>Aak9blCcm<7>Ymr`nrbps<3>nuuqvvtxwvywyzx<30>WnrVnrUnr\
<3>RkqRkpQjp<5>LdkKcjJbiJaiI_hIZhHYg
}
mandel_lake_02 { ; . t= 0:00:02.58
; Copyright Sylvie Gallet, Jan 16, 2000
; <sylvie_gallet@compuserve.com>
; t=calc time using a PII 300 at 320 x 200
; Version 2000 Patchlevel 6
reset=2000 type=formula formulafile=_lake.frm
formulaname=mandel_lake ismand=y passes=1
center-mag=-0.5/0.135678/0.6666667
params=0/0/1024/45/0.3/300 float=y maxiter=300 inside=0
decomp=256 cyclerange=0/255 sound=off
colors=ELL<35>W``W``Xaa<6>Zbb_cc_cc`dd`dd<45>wwwwwwxxx<2>yyy\
yyyxxx<120>3CC3CC2BB<2>0AA0AA1BB<24>DLL
}
mandel_lake_03 { ; . t= 0:00:02.80
; Copyright Sylvie Gallet, Jan 16, 2000
; <sylvie_gallet@compuserve.com>
; t=calc time using a PII 300 at 320 x 200
; Version 2000 Patchlevel 6
reset=2000 type=formula formulafile=_lake.frm
formulaname=mandel_lake ismand=y passes=1
center-mag=-1.2699/-0.168032/36.72672/1/-32.5/30.396
params=0/0/4/40/0.3/200 float=y maxiter=300 inside=0
decomp=256 cyclerange=0/255 sound=off
colors=ELL<35>W``W``Xaa<6>Zbb_cc_cc`dd`dd<45>wwwwwwxxx<2>yyy\
yyyxxx<120>3CC3CC2BB<2>0AA0AA1BB<24>DLL
}
mandel_lake_04 { ; . t= 0:00:01.59
; Copyright Sylvie Gallet, Jan 16, 2000
; <sylvie_gallet@compuserve.com>
; t=calc time using a PII 300 at 320 x 200
; Version 2000 Patchlevel 6
reset=2000 type=formula formulafile=_lake.frm
formulaname=mandel_lake ismand=n passes=1
center-mag=0/0.331658/0.6666667
params=0.3322884012539185/-0.03768844221105527/2/40/0.3/200
float=y maxiter=300 inside=0 decomp=256 cyclerange=0/255
sound=off
colors=ELL<35>W``W``Xaa<6>Zbb_cc_cc`dd`dd<45>wwwwwwxxx<2>yyy\
yyyxxx<120>3CC3CC2BB<2>0AA0AA1BB<24>DLL
}
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------------------------------
Date: Sat, 5 Feb 2000 01:39:52 -0500 (EST)
From: Jim Muth <jamth@mindspring.com>
Subject: (fractint) FOTD, 05-02-00 (Art Nouveau Midget) (c)
FOTD -- February 05, 2000
Fractal enthusiasts and visionaries:
I named today's fractal picture "Art Nouveau Midget" because it
reminds me of the curvilinear art style that was popular around
the turn of the last century. It is the third in the present
series of spectacular midgets.
How long can I keep the streak going? I haven't the slightest
idea, since the quality of the FOTD images is largely a matter
of good luck in searching. The formula behind the image is
Z^(-1.05)-Z^(1.05)+C, an expression that I entered on a whim and
examined with more intuition than logic.
The parameter file runs in under four minutes -- still slow
enough to make the download preferable. That download can be
found at:
<alt.binaries.pictures.fractals>
and at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
Happy downloading . . .
The fractal weather today was cloudy with off and on flurries of
snow, amounting to about 1cm. The temperature of 36F kept the
cats indoors.
Our friend Percy Smedley is still puzzling over that four-dimen-
sional figure painted into the surface volume of his west wall.
The object, if that word can be applied to a 4-D thing, is the
fourth of the six regular 4-D polytopes. The monstrous thing
consists of 24 octahedral cells, 96 triangular faces, 96 edges
and 24 vertices.
The three dimensional projection, which resembles an octahedron
filled with a network of distorted octahedra, is too complex to
describe in detail. To form the figure, a hypercube must be
inscribed in a hypersphere, and then the centers of the eight
cubical cells of the hypercube must be projected onto the
hypersphere. The 16 vertices of the hypercube plus the
projections of the centers of the eight cells of the hypercube
form a network of 24 points on the hypersphere. These 24 points
are the vertices of the 24-tope, the icosatetratope, the fourth
of the six regular 4-D hypersolid polytopes.
Curiously, this method also produces a regular figure in two-
dimensional space, where it results in an octagon, but in three-
dimensional space as well as all spaces higher than four the
figure that results is not regular.
Having decorated four walls of his room, Percy is still not yet
finished, for he has two more walls to decorate -- the in wall
and the out wall. He will decorate his in wall with a picture
of a hecatonicosatope, which I will make a brave but futile
effort to describe next time.
Until that next time, take care, and don't try to visualize the
fourth dimension -- it's not a visual thing.
Jim Muth
jamth@mindspring.com
START 20.0 PAR-FORMULA FILE================================
Art_Nouveau_Midget { ; time=0:03:48.66 SF5 on P200
; Version 2000 Patchlevel 6
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=-3.415040480289464/-2.498805152893876/240\
7.815/1/-127.499 params=1/-1.05/-1/1.05/0/1000
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colors=000szm<6>QZpMVpIRp<3>2Cq<3>e5Lo3Dx25<6>_73W83\
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zJzzJzzJzzKzzKz<5>zPzzQzzRzzSzzTz<37>zUz
}
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: Sat, 5 Feb 2000 04:50:17 -0500
From: Sylvie Gallet <Sylvie_Gallet@compuserve.com>
Subject: RE: (fractint) New galleries
Hi Miguel,
>> I got fradev.zip. Coming from you, of course I was =
>> expecting some cool and interesting pictures, but I =
>> was not prepared for the stuff in Lake.par...
Thank you! Ultra Fractal users are already used to this lake transform=
. =
To see more lake's, check out my gallery #20.
>> Thanks for the commented formula !!!
You're welcome!
Cheers,
- Sylvie
- -----------------------------------------------
E-mail:
Sylvie_Gallet@CompuServe.com
Web site:
http://www.fractalus.com/sylvie/homepage.htm
- -----------------------------------------------
=
- --------------------------------------------------------------
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Date: Sat, 5 Feb 2000 04:50:15 -0500
From: Sylvie Gallet <Sylvie_Gallet@compuserve.com>
Subject: Re: (fractint) New galleries
Hi Stuart,
>> New galleriesBEAUTIFUL work!!!! =
Thanks!
Cheers,
- Sylvie
- -----------------------------------------------
E-mail:
Sylvie_Gallet@CompuServe.com
Web site:
http://www.fractalus.com/sylvie/homepage.htm
- -----------------------------------------------
- --------------------------------------------------------------
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Date: Sat, 5 Feb 2000 04:50:14 -0500
From: Sylvie Gallet <Sylvie_Gallet@compuserve.com>
Subject: (fractint) Newton basin
Hi Kirsteen,
>> I would like to create my own formula that is based on the algorithm
>> newtbasin for finding the roots of z^3 - z. The pixels should be
>> coloured according to which root the iterates converge to. How do I co=
de
>> this colouring of the pixels?
Here is a formula that will work for any (z-p1)*(z-p2)*(z-p3) =3D 0
equation.
In your case, the roots are 0, 1, and -1. I've added the par for the
"standard" z^3-1 =3D 0 equation (the roots are 1, -0.5 + i*sqrt(3)/2, and=
- -0.5 - i*sqrt(3)/2), along with the par using the built-in newtbasin type=
.
z3_newtbasin { ; Written by Sylvie Gallet for Kirsteen Duncan
; February 5, 2000
;
; Newtbasin for (z-p1) * (z-p2) * (z-p3)
; Use periodicity=3D0 and outside=3Dreal
;
y =3D pixel , z =3D stop =3D 0
iter =3D 0
:
num =3D (y-p1)*(y-p2)*(y-p3)
den =3D 3*sqr(y) - 2*(p1+p2+p3)*y + (p1*p2 + p1*p3 + p2*p3)
y =3D y - num / den
if (cabs(y-p1) <=3D 0.001)
z =3D 0 , stop =3D 1
elseif (cabs(y-p2) <=3D 0.001)
z =3D 1 , stop =3D 1
elseif (cabs(y-p3) <=3D 0.001)
z =3D 2 , stop =3D 1
endif
if (stop =3D=3D 1)
z =3D z - iter - 7
endif
iter =3D iter + 1
stop =3D=3D 0
}
Newt_basin_z3-1 { ; . t=3D 0:00:03=
.46
; Copyright Sylvie Gallet, Feb 05, 2000
; <sylvie_gallet@compuserve.com>
; t=3Dcalc time using a PII 300 at 320 x 200
reset=3D2000 type=3Dformula formulafile=3D_newtbas.frm
formulaname=3Dz3_newtbasin passes=3D1 center-mag=3D0/0/0.6666667
params=3D1/0/-0.5/0.8660254037844/-0.5/-0.8660254037844 float=3Dy
outside=3Dreal periodicity=3D0 sound=3Doff
colors=3D00000e0e0wWe000<250>000
}
Newt_basin_z3-z { ; . t=3D 0:00:02=
.80
; Copyright Sylvie Gallet, Feb 05, 2000
; <sylvie_gallet@compuserve.com>
; t=3Dcalc time using a PII 300 at 320 x 200
reset=3D2000 type=3Dformula formulafile=3D_newtbas.frm
formulaname=3Dz3_newtbasin passes=3D1 center-mag=3D0/0/0.6666667
params=3D0/0/1/0/-1/0 float=3Dy outside=3Dreal periodicity=3D0 sound=3D=
off
colors=3D00000e0e0wWe000<250>000
}
built-in_newtbasin { ; . t=3D 0:00:00=
.77
; Copyright Sylvie Gallet, Feb 05, 2000
; <sylvie_gallet@compuserve.com>
; t=3Dcalc time using a PII 300 at 320 x 200
reset=3D2000 type=3Dnewtbasin passes=3D1 center-mag=3D0/0/0.6666667
params=3D3/0 float=3Dy periodicity=3D0 sound=3Doff
colors=3D00000e0e0wWe000<250>000
}
Cheers,
- Sylvie
- --------------------------------------------------------------
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------------------------------
Date: Sat, 5 Feb 2000 11:58:06 +0100
From: "Jean-Pierre Louvet" <louvet@hse.iuta.u-bordeaux.fr>
Subject: (fractint) Links to update?
Hi all,
I am very grateful because many of you have included links to my pages in
your sites. Walking from sites to sites, I see that most of the links to my
page are outdated but you are too numerous and I can't send a mail to
everybody. I know that it is difficult to update links in real time.
If you have some time to do it, can you update with the URL which is below
or adapt it if you refer only to one of my pages? (only the server and the
directory have changed for a few months; the names of the pages are
identical).
Many thanks.
- -------------------------------------------------------------------------
J.P. Louvet | Phone : (33)05-56-84-58-35
IUT Universite Bordeaux 1 |
33405 Talence CEDEX France | email : louvet@hse.iuta.u-bordeaux.fr
- -------------------------------------------------------------------------
Fractales sur serveur Web Universite Bordeaux I :
http://www.cribx1.u-bordeaux.fr/fractals/
- -------------------------------------------------------------------------
- --------------------------------------------------------------
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------------------------------
Date: Sun, 6 Feb 2000 01:53:26 -0500 (EST)
From: Jim Muth <jamth@mindspring.com>
Subject: (fractint) FOTD, 06-02-00 (The Midget Sizzles [6]) (c)
FOTD -- February 06, 2000 -- Rating (6)
Fractal enthusiasts and visionaries:
Starting today I will rate my Fractal of the Day efforts on a
zero-to-ten scale, and include the rating in the FOTD header.
By doing this I will give the fractalists who are pressed for
time a chance to decide if in my opinion the image is worth the
effort it will take to view it. It will also give the FOTD
readers a chance to see how my opinion of my own work compares
with their opinion of my work. Most fractals will rate some-
where in the center of the scale. It's unlikely that I'll ever
achieve a rating of 10, and hopefully I'll never deserve a zero.
Today's fractal, for example, I will rate a six, which means I
consider today's image to be just a little above average.
The scale is roughly as follows:
0 -- Totally worthless
1 -- Very poor
2 -- Much below average
3 -- Below average
4 -- A little below average
5 -- Average
6 -- A little above average
7 -- Above average
8 -- Much above average
9 -- Outstanding
10 -- The best of all time
Today's midget fairly sizzles with energy, so I named the
picture "The Midget Sizzles". The formula combines portions of
Z^(-2.3) and Z^(-4.5). The negative exponents of the formula
are apparent in the spotty nature of the features of the image,
which lies at the tip of the negative tail of a far larger
midget in the parent fractal.
The seven minutes required to render the scene from the
parameter file make a download the wiser choice. And that
download can be found as always at:
<alt.binaries.pictures.fractals>
and at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
The fractal weather was settled, with bright sun and a
temperature of 34F (1C) that was too cold for the fractal cats,
who have a serious case of cabin fever.
Our 4-D friend P. Smedley has already decorated the north,
south, east and west walls of his room. The ceiling overhead
needs no decoration, and the floor beneath him is covered with
wall-to-wall-to-wall carpet, but he still has two blank walls
yet to decorate -- the in wall and the out wall. After much
thought, he decides to decorate the in wall with a picture of
the fifth of the six regular four-dimensional polytopes, a
hecatonicosatope.
The hecatonicosatope is a regular four-dimensional figure
bounded by 120 dodecahedra, 4 at each vertex, 3 at each edge, 2
at each face. Its 3-D projection is a dodecahedron with a
smaller dodecahedron at the center. In the exceedingly complex
network between the two dodecahedra are found 118 deformed
dodecahedra, as well as icosidodecahedra and the soccer-ball
figures composed of hexagons and pentagons.
At this point words fail me, but there is still one wall of
Percy's room that needs decorating and one 4-D regular
hypersolid yet to go. In tomorrow's FOTD I'll try to describe
the hexacosioitope.
I see it's time to shut down the fractal shoppe until tomorrow.
Until then, take care, and be carefree.
Jim Muth
jamth@mindspring.com
START 20.0 PAR-FORMULA FILE================================
The_Midget_Sizzles { ; time=0:07:06.44, SF5 on a P200
; Version 2000 Patchlevel 6
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=-0.596045340321022/+1.077568366875516/8.1\
13245e+009/1/134.999 params=-1.2/-2.3/-3.4/-4.5/0/0
float=y maxiter=1500 bailout=25 inside=0 logmap=126
symmetry=none periodicity=10
colors=000Crb9rb<8>7PM7LK6II<3>65B<6>_UAcYAh`A<3>xnA\
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Of<3>FGb<3>ipH<8>ku8kv7kv6<2>kx3kx3it7<4>`dMZ`PXYS<3\
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<8>JGMKGNLFP<2>OEUOEVQGU<3>YMU_NU`OU<9>eVSfVRfWR<3>h\
YR<2>Nfq<3>CKo<3>PPkSQjWRi<3>gVf<7>XaXVbWUcV<3>PgR<3\
>_kNalMdmL<2>kpI9qr<3>JukLviOwhQxfSye<3>azZczXfzWhzU\
jzTyzv<6>izjgzhdzf<3>Xz`<3>Dza8za3za<2>2zRPze<2>Fzc
}
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: Sun, 6 Feb 2000 15:57:35 -0500
From: Sylvie Gallet <Sylvie_Gallet@compuserve.com>
Subject: (fractint) Yet another gallery
Hi All,
I just added a new gallery (#22) to my site along with 6 images in
gallery #19.
Enjoy!
- Sylvie
- -----------------------------------------------
E-mail:
Sylvie_Gallet@CompuServe.com
Web site:
http://www.fractalus.com/sylvie/homepage.htm
- -----------------------------------------------
- --------------------------------------------------------------
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------------------------------
Date: Mon, 7 Feb 2000 00:50:21 -0500 (EST)
From: Jim Muth <jamth@mindspring.com>
Subject: (fractint) FOTD, 07-02-00 (Erin [5]) (c)
FOTD -- February 07, 2000 (Rating 5)
Fractal enthusiasts and visionaries:
Today's lush green fractal reminds me of a hypothetical scene on
the Emerald Isle. I named it "Erin" accordingly. The midget is
part of the fractal that results when the formula
- -1*(0.1Z^2)+Z^(-3.2))+C is iterated. The blocky elements reveal
that a negative power of Z appears in the formula.
This fractal rates an honest 5 on my own rating scale, a small
comedown from the recent days' efforts. But then this is not
Lake Wobegon, and only half the images can be above average.
However, tomorrow is only 24 hours away, and the number of
fractals is transfinite, and the odds are 50 percent that
tomorrow's FOTD will be above average.
The parameter file runs in under 2 minutes, about the same
length of time it will take to get connected and download the
image from:
<alt.binaries.pictures.fractals>
or from:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
The fractal weather was much improved today, as a bright sun and
temperature of 35F (1.5C) knocked a few centimeters off the
depth of the snow pack. But it was still too chilly for the
fractal cats to venture out of doors.
When I last checked with our friend P. Smedley, he was still
working on the in-wall of his four-dimensional room, which is
directly opposite the out-wall. On the out-wall he painted a
picture of a hecatonicosatope, a regular four-dimensional
hypersolid bounded by 120 dodecahedron cells, 720 pentagonal
faces, 1200 edges, and 600 vertices.
Mr. Smedley became curious when he noticed that the sixth and
last of the four-dimensional figures, the hexacosioitope, is
bounded by 600 tetrahedron cells, 1200 triangular faces, 720
edges, and 120 vertices. The numbers of elements are in exactly
the opposite order of those of the figure on the opposite wall.
Then it struck him -- the two polytopes are reciprocal to each
other, just as are the cube and octahedron, and the dodecahedron
and icosahedron of our familiar 3-space. The centers of the 120
cells of the hecatonicosatope mark the 120 vertices of the
hexacosioitope, and the reciprocal relation is also true.
I'll further describe the last 4-D figure tomorrow, when Smedley
finishes his illustration; but for now, the fractal cats, who
have not the slightest interest in the fourth dimension, are
worrying me for their evening snack.
Until next time, take care, and if the fourth dimension is
impossible to visualize, why does the math work so well?
Jim Muth
jamth@mindspring.com
START 20.0 PAR-FORMULA FILE================================
Erin { ; time=0:01:53.36, SF5 on a P200
; Version 2000 Patchlevel 6
reset=2000 type=formula formulafile=multirot.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.10137360356864030/+0.00702471705816389\
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symmetry=none periodicity=10
colors=000KXX<3>S1b<2>VChVFjUMh<3>RmaRt`iWU<3>dNJcLG\
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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 20.0 PAR-FORMULA FILE==================================
- --------------------------------------------------------------
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------------------------------
End of fractint-digest V1 #444
******************************