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From: owner-fractint-digest@lists.xmission.com (fractint-digest)
To: fractint-digest@lists.xmission.com
Subject: fractint-digest V1 #135
Reply-To: fractint-digest
Sender: owner-fractint-digest@lists.xmission.com
Errors-To: owner-fractint-digest@lists.xmission.com
Precedence: bulk
fractint-digest Monday, March 16 1998 Volume 01 : Number 135
----------------------------------------------------------------------
Date: Sun, 15 Mar 1998 15:26:55 -0800
From: Mark Christenson <mchris@hooked.net>
Subject: (fractint) gravijul formulae and examples
comment { commentary by Mark "Bud" Christenson 3/15/98
*** This is a second post. Sorry (especially for those on both lists)=20
for the lack of a subject line in the last post ***
To those who have been waiting, my apologies; I have been busy,
and it has taken a while to select just one good example for each=20
type. The .pars are, with one exception, by the author of each=20
formula.
For those with Fractint 19.6, you can copy everything from the=20
start to just before the signature text into a file with the extension
.par, move it to your Fractint directory, and load as usual. For=20
those with older versions, you will have to copy the parameter sets=20
into a *.par file, delete the frm: prefix from the formulae and copy=20
them into a *.frm file, and load as usual.
I am posting this to the Fractal Art list by request, and to the Fractint=20
list to provide all existing formulae, and one example of each type,=20
in one location.
Enjoy, Bud
P.S.: Sylvie, I only had one example of gravijul-v2 from you, and it=20
wasn't periodic. I hope you don't mind me using my own, since tiles=20
are one of the formula's coolest features :o)
}
gj11 { ; "Angelica", (c) Mark "Bud" Christenson 2/3/98
reset=3D1930 type=3Dformula formulafile=3Dbudz.frm formulaname=3Dgravijul
function=3Dasinh/atanh/atan passes=3Db
center-mag=3D0/2.46231/0.3521127 params=3D1/0/0/0/2.95/0
float=3Dy maxiter=3D300 inside=3D200 outside=3Datan
colors=3D00_<22>S0`<6>eMfhQgiSh<2>n_koblqdmrfn<5>xuvzxxzzz<41>V22U00U11<39=
\
>btxcvzbtx<4>WkpVinUglTekScjRai<4>MScLQbJO`HM_<5>AAU2451230001K7<2>0K20K\
00K0<44>0z00z00y0<12>0l00k02j0<20>gE0000kkkFDWNJTRLRTLPVLN
}
gja1-03a { ; "Stargate", (c) Mark "Bud" Christenson 3/6/98
reset=3D1930 type=3Dformula formulafile=3Dbudz.frm formulaname=3Dgravijul-=
a1
function=3Dsqr/atanh/atan passes=3Dt center-mag=3D0/8.88178e-016/0.4841549
params=3D1.2/0/0/0.93/0.966/2.2 float=3Dy inside=3D111 outside=3Dreal
decomp=3D256
colors=3D200<30>z00<31>000<8>FFFHHHJJJLLLMMMOOO<17>sss<30>222000012<30>0kz=
\
<30>022000211<30>zsX<31>000
}
gja2-031 { ; (c) (c) Mark "Bud" Christenson 3/15/98
reset=3D1930 type=3Dformula formulafile=3Dbudz.frm formulaname=3Dgravijul-=
a2
function=3Dcos/atanh/atan passes=3Dt
center-mag=3D-0.82901/0.853874/1.990881 params=3D0.6/1.4/0.5/0.7/2.7/3.5
float=3Dy inside=3D111 decomp=3D256
colors=3DLK0<18>d20e10g00i00<8>z00<8>i00g00f00e11<18>MJJKKKKKK<21>cccdddff=
\
f<6>sss<5>iiigggfffeee<21>LLLKKKKKL<15>5Ta4Ub3Vc3Wd2Xf<2>1_k1am0bo0dq0es\
<2>0jy0kz0jx<6>0_k0Zi0Yh0Xf1We<18>JLMKKKLKK<18>d`LeaLgbMicN<8>zsX<6>mgQk\
ePidOhcN<21>KK0 cyclerange=3D0/255
}
gjv2-14a { ; "Baroque", (c) Bud 3/5/98 - formula by Sylvie Gallet
reset=3D1930 type=3Dformula formulafile=3Dfilist.frm
formulaname=3Dgravijul-v2 function=3Dtan/log/log passes=3Dt
center-mag=3D0/0/0.425 params=3D0/1.8/0.7/0.7/6/0 float=3Dy maxiter=3D300
inside=3D0 decomp=3D256
colors=3D000<31>zsX<31>000<31>z00<31>000<8>FFFHHHJJJLLLMMMOOO<17>sss<30>22=
\
2000012<30>0kz<30>022 cyclerange=3D0/255
}
sg_gravijul-v3_09 { ; Copyright Sylvie Gallet, Mar 03, 1998
; <sylvie_gallet@compuserve.com>
; t=3Dcalc time using a Pentium 166 at 1600 x 1200
reset=3D1960 type=3Dformula formulafile=3Dsg_gravj.frm
formulaname=3Dgravijul-v3 function=3Dcotanh/flip/log passes=3D1
center-mag=3D0/2.77556e-017/0.6987274/0.6283/-18.855/14.713
params=3D-3.6/0/1/0/3.14159265358979/0 float=3Dy maxiter=3D256 inside=3D0
decomp=3D256 periodicity=3D0
}
grav2u01 { (c) Philip. DiGiorgi - Mar '98
; Generated on a K6-266 at 1600x1200
reset=3D1960 type=3Dformula formulafile=3Dgrav.frm formulaname=3Dgravijul_=
2u
function=3Dcabs/acosh/abs/log passes=3D1
center-mag=3D0/4.44089e-016/0.3854591/1/180 params=3D0.6/0.9/1/0/0.15/1
float=3Dy maxiter=3D300 inside=3D0 decomp=3D256 periodicity=3D0
colors=3DB36<10>UAHWBIYDK<24>zzz<21>000801<22>801801A44<12>Umc<5>zzz<6>Yof=
\
UmcSi`<10>A55812812<9>634634533<14>00000S<21>77u<7>zzz<15>55f<12>22L11K1\
1I00G00G10G000<8>000000100201<2>412513513513<13>513613824A25
cyclerange=3D0/255
}
; *** start formulae
frm:gravijul { ; generalized r^(-2) by Mark "Bud" Christenson 1/25/98
; defaults: p1 =3D (1,0) p2 =3D (0,0) p3 =3D (4,0)
z =3D pixel:
w =3D fn1(z)
z =3D fn3(p1/fn2(w*w)) + p2
|z| < p3
}
frm:gravijul-v2 { ; Variation on Mark Christenson's gravijul by Sylvie=
Gallet
z =3D pixel :
w =3D fn1(real(z)) , x =3D fn3(p1/fn2(w*w))
w =3D fn1(imag(z)) , y =3D fn3(p1/fn2(w*w))
z =3D x + flip(y) + p2
|z| < p3
}
frm:gravijul-v3 { ; Variation on Mark Christenson's gravijul by Sylvie=
Gallet
z =3D pixel:
w =3D fn1(z)
z =3D fn3(fn2(w*w)^p1) + p2
|z| < p3
}
frm:gravijul-a1 { ; generalized r^(-2) by Mark "Bud" Christenson 3/6/98
; defaults: p1 =3D (1,0) p2 =3D (0,1) p3 =3D (1,4)
q4 =3D real(p2)
q2 =3D p1
q1 =3D imag(p2) ; new knob 1
q3 =3D real(p3) ; new knob 2
q5 =3D imag(p3) ; bailout
z =3D pixel:
v =3D fn1(z)
w =3D q1*(v*v)
z =3D q3*fn3(q2/fn2(w)) + q4
|z| < q5
}
frm:gravijul-a2 { ; generalized r^(-2) by Mark "Bud" Christenson 3/6/98
; favors p2
; defaults: p1 =3D (1,1) p2 =3D (0,0) p3 =3D (1,4)
q4 =3D p2
q2 =3Dreal(p1)
q1 =3D imag(p1) ; new knob 1
q3 =3D real(p3) ; new knob 2=7F
q5 =3D imag(p3) ; bailout
z =3D pixel:
v =3D fn1(z)
w =3D q1*(v*v)
z =3D q3*fn3(q2/fn2(w)) + q4
|z| < q5
}
frm:gravijul_2u { ; Variation of gravijul formula - Philip DiGiorgi 3/98
; Original formula by Mark Christenson
bailout =3D imag(p3), k =3D real(p3)
z =3D abs(pixel):
x =3D real(z), y =3D imag(z)
w =3D fn1(x) + k*y, v =3D fn1(y) + k*x
u =3D fn2(w + flip(v))
z =3D fn4(p1/fn3(u*u)) + p2
|z| < bailout
}
- -
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------------------------------
Date: Sun, 15 Mar 1998 16:53:12 -0700 (MST)
From: Kerry Mitchell <lkmitch@primenet.com>
Subject: (fractint) Another contest?
Fractinters,
Is it time for another contest? I propose a theme of best/most
interesting coloring of the standard Julia and/or Mandelbrot sets. Maybe
we all start with 3 coordinate files (1 c range for the Mandelbrot set and
2 sets of a c value and z range for 2 Julia sets), and are free to color
them as we see fit. This wouldn't limit us to a particular formula, as
many coloring schemes can only be done in Fractint by using a different
formula. For candidate coordinates, maybe a zoom into a Mandelbrot
midget, a Julia set of a main cardioiod boundary point with an irrational
internal angle (to give lots of interior space and chaotic orbits), and a
Julia dust (c outside of the Mandelbrot set), to show off expertise in
outside coloring. I volunteer to either be heavily involved, or not. :-)
What do you all think?
Kerry
- -------------------------------------------------------------------------------
Kerry Mitchell
lkmitch@primenet.com
- -------------------------------------------------------------------------------
- -
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------------------------------
Date: Sun, 15 Mar 1998 19:08:58 -0800
From: Peter Jakubowicz <pfjakub@earthlink.net>
Subject: Re: (fractint) Another contest?
At 04:53 PM 3/15/98 -0700, you wrote:
- -I volunteer to either be heavily involved, or not. :-)
Contest, cool idea. And do you mean you wld be in charge (that's another
great idea). How about a third, Nova type just to make it a little funkier.
Then we cld have best M-set, best Julia, and best Nova.
- -
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------------------------------
Date: Sun, 15 Mar 1998 20:57:23 -0500
From: davides <davides@pipeline.com>
Subject: (fractint) Re: 2 pars
The following two pars are from a preloaded formula:
Romanoff's_Egg { ; (c) Copyright David Shanholtzer 1998
reset=1960 type=fn*z+z function=sin passes=1
center-mag=-0.771696/-2.175e-006/0.5827704/0.9006 params=2/2/2/2
float=y outside=summ potential=255/255/0 finattract=y periodicity=0
colors=b00b00<13>M00K00K00<23>c00c00b00<20>K00hTA<31>hTAhUAiUAiVBjVB<26>\
whKwhKwgK<27>iUBiUBhTAgSA<14>M21K00L11<27>qprsrtrqs<28>M22K00L00<15>c00
}
Romanoff5 { ; (c) Copyright David Shanholtzer 1998
reset=1960 type=fn*z+z function=sin passes=1
center-mag=-0.771696/-2.175e-006/0.5827704/0.9006 params=2/2/2/2
float=y outside=summ potential=255/255/0 finattract=y periodicity=0
colors=rqv8Xi<16>CmrDnsEnr<8>TgoUgoWhp<13>vvw<14>WWiUUhVVhWXhYZh<45>pnsq\
otpmr<12>cRTZ00<11>mfjoinpmrrqvrnv<14>m0m3Km<14>rqv<64>4H`4H`4Ia<14>8Xh
}
davides@pipeline.com
Back up my hard drive?
How do I put it in reverse?
- -
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------------------------------
Date: Sun, 15 Mar 1998 21:02:59 -0500
From: Jack Valero <jval@globalserve.net>
Subject: Re: (fractint) Thank you note
Hi Ray,
At 09:59 PM 13/03/98 -0700, you wrote:<snip>
>A prime example was the other evening when I entered Jay Hill's
>web-site and down-loaded a sort of tutorial by Jack Valero on SSTOOLS.INI.
> To begin with it was a very valuable piece for me to have. I got a
>lot out of it - and, here's the BUT - for instance, the questioner was
>asking how to enter an entire par file into fractint (a problem I must face
>some day).... and Jack's reply was, "Press the 2 or SHIFT-@ key on the top
>row of your keyboard. This will let you load pars into Fractint." He knows
>what he is saying and he knows what the next procedure is, but he has NOT
>answered the question..."how do you ENTER the pars into Fractint...." not
>where is the door.<snip>
Wow! Someone actually thinks I know what I'm saying!
I haven't been reading the mail here lately so I'm sorry if this reply is a
bit
late. You are right, I didn't mention the next step. But if you follow those
instructions, you'll find that the Fractint screen takes over and tells you
the rest of what you need to know at the bottom of the screen. Basically, use
the arrow keys to select your par entry and then press the Enter key... and
that action loads the par information into Fractint so it can use it. The same
screen also tells you how to switch to another par file. I didn't mention
this as it didn't seem necessary to duplicate what Fractint will tell the
user anyway.
However, it is possible that you might be asking not how to get the par file
into Fractint but how to get Fractint to find the par file in the first
place. If I recall correctly, I covered that in the section about creating
directories for various Fractint support files and how to make sure Fractint
knows about them via the SSTOOLS.INI file.
I hope this helps. Actually, I was surprised that someone kept a record of
my message. It wasn't intended as a tutorial but simply as a late night
quickie reply to someone's difficulties. If you still are having problems
email me directly and I'll try to help. By the way, I am *NOT* a Fractint
expert by even the most stretched imagination!
And you're right. This mail list is a wonderful resource filled with equally
wonderful people. I just wish I had more time to read the massive mail
quantities it generates. Have fun and enjoy the group. They're definitely
worth your time!
Regards - Jack
visit our fractal gallery: http://www.globalserve.net/~jval/phractal.html
- -
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------------------------------
Date: Sun, 15 Mar 1998 19:14:48 -0800
From: Wizzle <wizzle@cci-internet.com>
Subject: Re: (fractint) Another contest?
I love the idea of another contest because I learned so much from the first
one. I'm assuming by coloring the standard Julia/Mandelbrot sets you mean
via those intriguiing methods such as you and Damien come up with. That is
way beyond me but I'm already picturing the oodles of new goodies that
would become available.
I say go for it!!!
Angela
At 04:53 PM 3/15/98 -0700, you wrote:
>Fractinters,
>
>Is it time for another contest? I propose a theme of best/most
>interesting coloring of the standard Julia and/or Mandelbrot sets. Maybe
>we all start with 3 coordinate files (1 c range for the Mandelbrot set and
>2 sets of a c value and z range for 2 Julia sets), and are free to color
>them as we see fit. This wouldn't limit us to a particular formula, as
>many coloring schemes can only be done in Fractint by using a different
>formula. For candidate coordinates, maybe a zoom into a Mandelbrot
>midget, a Julia set of a main cardioiod boundary point with an irrational
>internal angle (to give lots of interior space and chaotic orbits), and a
>Julia dust (c outside of the Mandelbrot set), to show off expertise in
>outside coloring. I volunteer to either be heavily involved, or not. :-)
>
>What do you all think?
>
>Kerry
>
>---------------------------------------------------------------------------
- ----
>Kerry Mitchell
>lkmitch@primenet.com
>---------------------------------------------------------------------------
- ----
>
>
>-
>------------------------------------------------------------
>Thanks for using Fractint, The Fractals and Fractint Discussion List
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>Administrator: twegner@phoenix.net
>Unsubscribe: majordomo@xmission.com "unsubscribe fractint"
>
>
- -
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------------------------------
Date: Sun, 15 Mar 1998 19:27:16 -0800
From: Wizzle <wizzle@cci-internet.com>
Subject: Re: (fractint) Another contest?
Nother thought......the rest of us could get in on the act by submitting
pars based on the new coloring schemes.......the scheme with the most/best
pars wins!!! And so does everybody else cause we all got to play.
>Angela
>
>
>
>At 04:53 PM 3/15/98 -0700, you wrote:
>>Fractinters,
>>
>>Is it time for another contest? I propose a theme of best/most
>>interesting coloring of the standard Julia and/or Mandelbrot sets. Maybe
>>we all start with 3 coordinate files (1 c range for the Mandelbrot set and
>>2 sets of a c value and z range for 2 Julia sets), and are free to color
>>them as we see fit. This wouldn't limit us to a particular formula, as
>>many coloring schemes can only be done in Fractint by using a different
>>formula. For candidate coordinates, maybe a zoom into a Mandelbrot
>>midget, a Julia set of a main cardioiod boundary point with an irrational
>>internal angle (to give lots of interior space and chaotic orbits), and a
>>Julia dust (c outside of the Mandelbrot set), to show off expertise in
>>outside coloring. I volunteer to either be heavily involved, or not. :-)
>>
>>What do you all think?
>>
>>Kerry
- -
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------------------------------
Date: Mon, 16 Mar 1998 00:17:09 -0500 (EST)
From: ao950@freenet.carleton.ca (Paul Derbyshire)
Subject: Re: (fractint) Nove formula
>
>Paul Derbyshire,
>
>I like your Nova formulas, they rock!!! I used the one for Fractint, but it's seems
>to be jumbled or garbled when I use the floating point algorithm. I do not like the
>looks of it with the it. Do you have a better formula? Or do I have to alter the
>program myself? Becuase I have no clue how. I think I might fudge up the formula
>even worse. Thanx in advanced.
>
>-Lav
It shouldn't garble with float=y. Are you sure you've used periodicity=n?
- --
.*. Friendship, companionship, love, and having fun are the reasons for
-() < life. All else; sex, money, fame, etc.; are just to get/express these.
`*' Send any and all mail with attachments to the hotmail address please.
Paul Derbyshire ao950@freenet.carleton.ca pgd73@hotmail.com
- -
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------------------------------
Date: Sun, 15 Mar 1998 21:56:16 -0800
From: Wizzle <wizzle@cci-internet.com>
Subject: Re: (fractint) Re: 2 pars
amazingly eggy and just in time for easter too!!!
At 08:57 PM 3/15/98 -0500, you wrote:
>The following two pars are from a preloaded formula:
>
>Romanoff's_Egg { ; (c) Copyright David Shanholtzer 1998
> <<snipped>>
- -
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------------------------------
Date: Sun, 15 Mar 1998 22:26:33 -0800
From: kathy roth <kroth@well.com>
Subject: (fractint) tiling...gravijul-2u
It kind of slipped by without comment- I really liked the
gravijul-2u variant and pars that Phil DiGiorgi posted as a
first contribution to this.
The later gravijul formulas all make many different really nice
tilings. I wonder if someone can point out what part of those
formulas gives the capability for all the tilings.
more_tiling { ; 3-10-98 kathy roth
; gravijul-2u by Phil DiGiorgi
; original gravijul by Mark Christenson
reset=1960 type=formula formulafile=fractint.frm
formulaname=gravijul_2u function=cosxx/sqr/sinh/cosh passes=1
center-mag=1.6844/-1.68483/0.1778867 params=1/0/0/0/0/0 decomp=4096
colors=000U0A<6>`0Da0Db2D<14>zVF<10>hAEaI9\
<6>xTF<8>H3AC09908<6>KBDMDEMFF\
<2>MMI000<16>C81D92FB3<2>LG4OI5QK7\
<12>vlYxn_yo`zpawn_ukY<16>bVH000<22>00\
0000223<5>HHNKKQNNTQQXTT_<6>ilploslpr\
<14>OI5<11>pgTriVulYxn_zpa<4>jdWgaV\
cZT`WSYUR<3>KJNHGMGFL<10>724602702<20>Q08R09S09T0A
}
palm-corner { ; 3-10-98 kathy roth
; gravijul-2u by Phil DiGiorgi
; original gravijul by Mark Christenson
; palette by Sylvie Gallette
reset=1960 type=formula formulafile=fractint.frm
formulaname=gravijul_2u function=cosxx/sqr/sinh/acos
center-mag=8.2585e-005/-1.88e-006/29.23369 params=1/0/0/0/0/0
invert=0.1/0/0 decomp=256
colors=000zzz<78>FFFwzw<21>bhdbhdagc`gc`fb\
<6>WaYVaYV`XU`XT_W<6>RYURYTQXT\
QXSQXS<7>OUONTNNTNMSMMSL<3>\
JPJJPIIOHINGHMF<4>EIBEIADH9CH8BG7BG6AF5EF0<30\
>`XJaYKaYKaYL<28>nj_nj_ok`ola<12>xuk669000<12>000
}
ribbon_thing { ; 3-10-98 kathy roth
; gravijul-2u by Phil DiGiorgi
; original gravijul by Mark Christenson
reset=1960 type=formula formulafile=fractint.frm
formulaname=gravijul_2u function=cosxx/sqr/sinh/cosh passes=1
center-mag=0.0396292/0.0666062/0.7290439 params=1/0/0/0/0/0
invert=1/0/0 decomp=4096
colors=000MDE<3>MMILPKNRM<9>kmn<6>D\
92<3>LG4OI5QK7<12>vlYxn_yo`zpa<14>OI5\
000<27>000<7>KKQNNTQQXTT_VWa<3>\
dfkginhjn<2>kmn<13>OI5<11>pgTriVulYxn_zpa\
<4>jdWgaVcZT`WSYUR<3>KJNHGMGFL<10>\
724602702<20>Q08R09S09T0AU0A<6>`0Da0Db\
2D<14>zVF<10>hAEaI9<6>xTF<8>H3AC09908<6>KBD
}
tile { ; 3-10-98 kathy roth
; frm by Phil DiGiorgi
; original gravijul by Mark Christenson
reset=1960 type=formula formulafile=fractint.frm
formulaname=gravijul_2u function=cosxx/sqr/sinh/tanh
center-mag=1.5585e-005/-1.88e-006/0.2597018 params=1/0/0/0/0/0
decomp=256
colors=LG0000<22>000000223<5>HHNKK\
QNNTQQXTT_<6>ilploslpr<14>OI5<11>pgTri\
VulYxn_zpa<4>jdWgaVcZT`WSYUR<3>KJNHGMGFL\
<10>724602702<20>Q08R09S09T0AU0A\
<6>`0Da0Db2D<14>zVF<10>hAEaI9<6>xTF<8>H3A\
C09908<6>KBDMDEMFF<2>MMI000<16>\
C81D92FB3<2>LG4OI5QK7<12>vlYxn_yo`zpawn_ukY<16>bVH
}
ribbon_tile { ; 3-10-98 kathy roth
; frm by Phil DiGiorgi
; original gravijul by Mark Christenson
reset=1960 type=formula formulafile=fractint.frm
formulaname=gravijul_2u function=cosxx/sqr/sqr/cosh
center-mag=-6.8275e-005/-9e-008/0.1494511 params=1/0/0/0/0/0
decomp=256
colors=000UWY<5>9C`ADaBEc<46>xxyzzzyyz\
<45>DGdBEcBEc<29>BBLAAKCDK<14>kuC<\
15>AAK<15>z00<15>zzz<12>e5Oc0Kd1K<12>\
xIBzKAzMB<14>zzU<8>XZX
}
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------------------------------
Date: Mon, 16 Mar 1998 19:31:52 +1200
From: "Morgan L. Owens" <packrat@nznet.gen.nz>
Subject: Re: (fractint) Colormaps
At 13:05 15/03/98 -0800, Wizzle wrote:
>It is probably not possible any more than it is possible to copyright a
>recipe......a book of recipes...yes....but a single one..no. Nor can a
>math formula be copyrighted....along with a bunch of other stuff that can't
>be. But people persist in thinking they can copyright anything that is
>applied to paper.
>
>At 12:41 PM 3/15/98 -0800, you wrote:
>>At 12:41 PM 3/15/98 -0800, Wizzle wrote:
>>>Tim reminded me to remind you that any map submitted will flounder into the
>>>public domain.....so don't submit anything you think you could copyright.
>>
>>Is this even possible? I know good maps are definitely products of
>>considerable effort, but I didn't think you could copyright a color
>>scheme. When applied to a copyrighted image or registered
>>trademark, it's a different story...
>>
>>Bud
>
Something when I forgot to mention when I submitted my "Heat" map is that I
filched it wholesale from Photoshop's "Black Body" colour table.
But does anyone want to bet that Adobe holds any ownership on Planck's
radiation law?
Morgan L. Owens
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------------------------------
Date: Mon, 16 Mar 1998 02:30:12 -0500
From: alex dukay <dukay@interlog.com>
Subject: (fractint) Re: Paul Carlson's frm
- --=====================_890051412==_
Content-Type: text/plain; charset="us-ascii"
I've modified Paul Carlson's frm slightly which optimized by Sylvie by
adding a function variable and the whitesq variable. Lo and behold there's
a manblebrot in every formula. An interesting pulsating effect can be
achieved by hitting the down arrow keys 10-12 times and then hitting the
number 6 or 7 on the numbers (or whichever combination one prefers)
Alex Dukay
- --=====================_890051412==_
Content-Type: text/plain; charset="us-ascii"
Content-Disposition: attachment; filename="newt5.frm"
Newt5 {; Original formula by Paul Carlson
; with optimizations by Sylvie Gallet
;and the addition of a function and whitesq by alex dukay
; F(w) = w^3 + (c - 1) * w - c
; F'(w) = 3 * w^2 + c - 1
; F''(w) = 6 * w, so initialize w to zero
;
; p1 contols the "layering"
;
c = pixel , c1 = c - 1
z = iter = bailout = prev_w = w = 0
colors_in_range = 80
colors_in_range_1 = 79
k = 0.5 * sqrt(1 - 4 * c)
root1 = (1,0)
root2 = -0.5 + k
root3 = -0.5 - k
:
;
w2 = w * w
w = w - (w * (w2 + c1) - c) / (3 * w2 + c1)
;
delta_w = w - prev_w
IF (|delta_w| < p1)
angle = atan(imag(delta_w) / real(delta_w))
IF (delta_w >= 0)
IF (imag(delta_w) < 0)
angle = pi + angle
ELSE
angle = pi - angle
ENDIF
ELSEIF (imag(delta_w) > 0)
angle = -angle
ENDIF
IF (|w - root1| < p1)
range_num = 0
ELSEIF (|w - root2| < p1)
range_num = 1
ELSEIF (|w - root3| < p1)
range_num = 2
ENDIF
bailout = 1
z = colors_in_range_1*angle/pi+range_num*colors_in_range+1
ENDIF
prev_w = w
iter = iter + 1
z = (fn1(z - iter))+whitesq
bailout == 0
- --=====================_890051412==_
Content-Type: text/plain; charset="us-ascii"
Content-Disposition: attachment; filename="Upload1.par"
{ ; 00:10:30
reset=1960 type=formula formulafile=fractint.frm formulaname=Newt5
function=recip passes=1
center-mag=+1.12419865051169000/-0.52567653064012230/4812.886/0.8105
params=0.001/30 float=y inside=bof61 outside=summ periodicity=400
colors=000LJfVuuWgpXUkCgKNUW_bU<2>XLdsymgbj6rIKZV`A8tlHjo7ecK`SW0PniRp<2\
>_IiDFs<2>SGj1XEHOT23wF68agI<2>YNa`u9Z`Rm4A<2>`D_06tNEQgpQhmWjiakfg<3>vl\
XqkdlklYRhK6diDuaNvUXv<2>WEmbKdhPX<3>Nf6<2>wkfeaC<3>RPd<3>Pn9zv7<2>Idew9\
T<3>RoS<2>__NbVMeRLhOKVUB<2>fjgjorpfauZLzR5hNPRKgfJbuIY_CXE6W<3>NX`diYvu\
WiVcX5jDbfrjUjqXcw_<2>3DK<3>OIiQRgSZeUfd<3>gnh_YMSI0<2>ePsbMpOZR`KmZIjqp\
8<2>aPZxz`j__eTb`Me0wB<2>PR_C5vNBnmQ_dLc2Nk<2>QHhN4N8yzLbpvjfFL9OIRYOd<2\
>XIga8zQsO2uyDgsNUm0NikfE<2>_M`RFW<2>WGdii6bVPqiX<2>aNejXXCA64pmJYjdmCaa\
NZRYgm6aXPmJK<2>`GaGGdPGfGrsYDQXEWXFa7yJKbWeGU`G`mce<2>`MgrQ3jMHcJVgY3<2\
>ZKYpk8<2>aOZRVRUN_oQdeLfbnHGdSMWYSObLxg1ugJLI<2>UHaLH4PGITGVU2Z<2>XDeMg\
SSU_ cyclerange=2/255
}
{ ; 00:10:30
reset=1960 type=formula formulafile=fractint.frm formulaname=Newt5
function=recip passes=1
center-mag=+1.12419865051169000/-0.52567653064012230/4812.886/0.8105
params=0.001/30 float=y inside=bof61 outside=summ periodicity=400
colors=000LJfVuuWgpXUkCgKNUW_bU<2>XLdsymgbj6rIKZV`A8tlHjo7ecK`SW0PniRp<2\
>_IiDFs<2>SGj1XEHOT23wF68agI<2>YNa`u9Z`Rm4A<2>`D_06tNEQgpQhmWjiakfg<3>vl\
XqkdlklYRhK6diDuaNvUXv<2>WEmbKdhPX<3>Nf6<2>wkfeaC<3>RPd<3>Pn9zv7<2>Idew9\
T<3>RoS<2>__NbVMeRLhOKVUB<2>fjgjorpfauZLzR5hNPRKgfJbuIY_CXE6W<3>NX`diYvu\
WiVcX5jDbfrjUjqXcw_<2>3DK<3>OIiQRgSZeUfd<3>gnh_YMSI0<2>ePsbMpOZR`KmZIjqp\
8<2>aPZxz`j__eTb`Me0wB<2>PR_C5vNBnmQ_dLc2Nk<2>QHhN4N8yzLbpvjfFL9OIRYOd<2\
>XIga8zQsO2uyDgsNUm0NikfE<2>_M`RFW<2>WGdii6bVPqiX<2>aNejXXCA64pmJYjdmCaa\
NZRYgm6aXPmJK<2>`GaGGdPGfGrsYDQXEWXFa7yJKbWeGU`G`mce<2>`MgrQ3jMHcJVgY3<2\
>ZKYpk8<2>aOZRVRUN_oQdeLfbnHGdSMWYSObLxg1ugJLI<2>UHaLH4PGITGVU2Z<2>XDeMg\
SSU_ cyclerange=2/255
}
- --=====================_890051412==_
Content-Type: text/plain; charset="us-ascii"
Content-Disposition: attachment; filename="Upload2.par"
{ ; 00:17:30.47
reset=1960 type=formula formulafile=fractint.frm formulaname=Newt5
function=recip passes=1
center-mag=+1.12419437517864300/-0.52567445115198550/47232.36/1.2904
params=0.001/30 float=y inside=bof61 outside=summ periodicity=400
colors=000LJf0MHcJVl_DmaCeQNYEX01BR3fWGk`ToTao<2>jeuE0k<2>pfwfbiXZWKN0MS\
9OWIQ`RUAX<2>Rd_3Oa<3>Rn_<2>UgcLsc<2>mGeoFxs9nv3eIgb51GbBV<2>UQF3miFcSLV\
3<2>aTMw41<2>YeebeZY_fUhlQqrC8d<3>NzwWqcdhKTZ2b_1l`0<2>ORFd8GGOJMUNSZR8k\
d<2>j_On16<2>wXJlb_QGx<2>ahoJ7LUVZiycfuhdqlHf4PiLWl`nzl<2>FTvgK`1Kz<2>9E\
w1G82Ax<2>RJvUer<2>aCxyZaCzedTUc3yUEq0iHrduaXoLPiZVOKOXLpPDZX5IdQpU<3>Oj\
EKiOGhYKai<2>Ake6wZ7ra0uk7ndX50DbfrjUjqXcw_<2>3DK<3>OIiQRgSZeUfd<3>gnh_Y\
MSI0<2>ePsbMpOZR`KmZIjqp8<2>aPZxz`j__eTb`Me0wB<2>PR_C5vNBnmQ_dLc2Nk<2>QH\
hN4N8yzLbpvjfFL9OIRYOd<2>XIga8zQsO2uyDgsNUm0NikfE<2>_M`RFW<2>WGdii6bVPqi\
X<2>aNejXXCA64pmJYjdmCaaNZRYgm6aXPmJK<2>`GaGGdPGfGrsYDQXEWXFa7yJKbWeGU`G\
`mce<2>`MgrQ3 cyclerange=4/149
}
- --=====================_890051412==_--
- -
- ------------------------------------------------------------
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------------------------------
Date: Mon, 16 Mar 1998 10:47:26 -0800
From: Mark Christenson <mchris@hooked.net>
Subject: (fractint) gravijul pars and examples - rev 2
comment { commentary by Mark "Bud" Christenson 3/16/98 (rev 2)
** Note: this is an updated post with a previously overlooked
formula and two new pars **
To those who have been waiting, my apologies; I have been busy,
and it has taken a while to select just one good example for each
type. The pars are by the author of each formula.
For those with Fractint 19.6, you can copy everything from the
start to just before the signature text into a file with the extension
.par, move it to your Fractint directory, and load as usual. For
those with older versions, you will have to copy the parameter sets
into a *.par file, delete the frm: prefix from the formulae and copy
them into a *.frm file, and load as usual.
I am posting this to the Fractal Art list by request, and to the Fractint
list to provide all existing formulae, and one example of each type,
in one location. I will post updates periodically, but if it gets too big
I will have to post the file on my web site.
Enjoy, Bud
}
gj11 { ; "Angelica", (c) Mark "Bud" Christenson 2/3/98
reset=1930 type=formula formulafile=budz.frm formulaname=gravijul
function=asinh/atanh/atan passes=b
center-mag=0/2.46231/0.3521127 params=1/0/0/0/2.95/0
float=y maxiter=300 inside=200 outside=atan
colors=00_<22>S0`<6>eMfhQgiSh<2>n_koblqdmrfn<5>xuvzxxzzz<41>V22U00U11<39\
>btxcvzbtx<4>WkpVinUglTekScjRai<4>MScLQbJO`HM_<5>AAU2451230001K7<2>0K20K\
00K0<44>0z00z00y0<12>0l00k02j0<20>gE0000kkkFDWNJTRLRTLPVLN
}
gja1-03a { ; "Stargate", (c) Mark "Bud" Christenson 3/6/98
reset=1930 type=formula formulafile=budz.frm formulaname=gravijul-a1
function=sqr/atanh/atan passes=t center-mag=0/8.88178e-016/0.4841549
params=1.2/0/0/0.93/0.966/2.2 float=y inside=111 outside=real
decomp=256
colors=200<30>z00<31>000<8>FFFHHHJJJLLLMMMOOO<17>sss<30>222000012<30>0kz\
<30>022000211<30>zsX<31>000
}
gja2-031 { ; (c) Mark "Bud" Christenson 3/15/98
reset=1930 type=formula formulafile=budz.frm formulaname=gravijul-a2
function=cos/atanh/atan passes=t
center-mag=-0.82901/0.853874/1.990881 params=0.6/1.4/0.5/0.7/2.7/3.5
float=y inside=111 decomp=256
colors=LK0<18>d20e10g00i00<8>z00<8>i00g00f00e11<18>MJJKKKKKK<21>cccdddff\
f<6>sss<5>iiigggfffeee<21>LLLKKKKKL<15>5Ta4Ub3Vc3Wd2Xf<2>1_k1am0bo0dq0es\
<2>0jy0kz0jx<6>0_k0Zi0Yh0Xf1We<18>JLMKKKLKK<18>d`LeaLgbMicN<8>zsX<6>mgQk\
ePidOhcN<21>KK0 cyclerange=0/255
}
sg_gravijul-v1_03 { ; Copyright Sylvie Gallet, Feb 05, 1998
; <sylvie_gallet@compuserve.com>
; t=calc time using a Pentium 166 at 1600 x 1200
reset=1960 type=formula formulafile=list_98.frm
formulaname=gravijul-v1 function=recip/abs/log passes=1
center-mag=0/0/0.6942545 params=-1.5/0.3/0.5/-1/4/2.25 float=y
maxiter=1023 inside=0 decomp=256
colors=A00H63<14>ZKA_LAaNA<2>dQAfSAgTAiVAkXA<3>rcAteAufBvgCwhD<16>zzz<6>\
SE7QD6OC6<12>Q29Q29Q19R0AR1AR2A<2>T3AT3AT3AT3AT3A<106>B34A43A54<6>AEA
AFB\
BHCCJD<8>IYPJ_RJ`R<6>LhM<12>wt1<12>DVFDUEDSEB00<4>G52
}
sg_gravijul-v2_03 { ; Copyright Sylvie Gallet, Feb 27, 1998
; <sylvie_gallet@compuserve.com>
; t=calc time using a Pentium 166 at 1600 x 1200
reset=1960 type=formula formulafile=filist.frm
formulaname=gravijul-v2 function=tan/sqrt/recip passes=1
center-mag=0.177926/0.615303/0.5038743/1/122.5
params=1.1/0/0.2/0/2.95/2 float=y maxiter=300 inside=0
invert=1/0.2/0.15 decomp=256
colors=000605<8>`0Rzzwb0T<9>000B08<34>b0Tzzwb0U<34>403302000<22>YYT__V``\
WbbYccZ<6>nniookqqmrrottp<3>zzw<14>YYUWWRUUQ<13>222000000<82>302
}
sg_gravijul-v3_09 { ; Copyright Sylvie Gallet, Mar 03, 1998
; <sylvie_gallet@compuserve.com>
; t=calc time using a Pentium 166 at 1600 x 1200
reset=1960 type=formula formulafile=sg_gravj.frm
formulaname=gravijul-v3 function=cotanh/flip/log passes=1
center-mag=0/2.77556e-017/0.6987274/0.6283/-18.855/14.713
params=-3.6/0/1/0/3.14159265358979/0 float=y maxiter=256 inside=0
decomp=256 periodicity=0
colors=806<19>604604714<8>D54000<31>WM1WM1XN1YN2ZO2<9>fU7gV7hW8iW9<16>qe\
LqfMrfNrfN<18>zpZ000<5>000zwh<30>qiYphXphXogWnfV<28>QLBPKBNJA<12>2210000\
00<45>000 cyclerange=0/255
}
grav2u01 { (c) Philip DiGiorgi - Mar '98
; Generated on a K6-266 at 1600x1200
reset=1960 type=formula formulafile=grav.frm formulaname=gravijul_2u
function=cabs/acosh/abs/log passes=1
center-mag=0/4.44089e-016/0.3854591/1/180 params=0.6/0.9/1/0/0.15/1
float=y maxiter=300 inside=0 decomp=256 periodicity=0
colors=B36<10>UAHWBIYDK<24>zzz<21>000801<22>801801A44<12>Umc<5>zzz<6>Yof\
UmcSi`<10>A55812812<9>634634533<14>00000S<21>77u<7>zzz<15>55f<12>22L11K1\
1I00G00G10G000<8>000000100201<2>412513513513<13>513613824A25
cyclerange=0/255
}
; *** start formulae
frm:gravijul { ; generalized r^(-2) by Mark "Bud" Christenson 1/25/98
; defaults: p1 = (1,0) p2 = (0,0) p3 = (4,0)
z = pixel:
w = fn1(z)
z = fn3(p1/fn2(w*w)) + p2
|z| < p3
}
frm:gravijul-v1 { ; Variation on Mark Christenson's gravijul by Sylvie Gallet
z = pixel^imag(p3) :
w = fn1(z)
z = fn3(p1/fn2(w*w)) + p2
|z| < p3
}
frm:gravijul-v2 { ; Variation on Mark Christenson's gravijul by Sylvie Gallet
z = pixel :
w = fn1(real(z)) , x = fn3(p1/fn2(w*w))
w = fn1(imag(z)) , y = fn3(p1/fn2(w*w))
z = x + flip(y) + p2
|z| < p3
}
frm:gravijul-v3 { ; Variation on Mark Christenson's gravijul by Sylvie Gallet
z = pixel:
w = fn1(z)
z = fn3(fn2(w*w)^p1) + p2
|z| < p3
}
frm:gravijul-a1 { ; generalized r^(-2) by Mark "Bud" Christenson 3/6/98
; defaults: p1 = (1,0) p2 = (0,1) p3 = (1,4)
q4 = real(p2)
q2 = p1
q1 = imag(p2) ; new knob 1
q3 = real(p3) ; new knob 2
q5 = imag(p3) ; bailout
z = pixel:
v = fn1(z)
w = q1*(v*v)
z = q3*fn3(q2/fn2(w)) + q4
|z| < q5
}
frm:gravijul-a2 { ; generalized r^(-2) by Mark "Bud" Christenson 3/6/98
; favors p2
; defaults: p1 = (1,1) p2 = (0,0) p3 = (1,4)
q4 = p2
q2 =real(p1)
q1 = imag(p1) ; new knob 1
q3 = real(p3) ; new knob 2
q5 = imag(p3) ; bailout
z = pixel:
v = fn1(z)
w = q1*(v*v)
z = q3*fn3(q2/fn2(w)) + q4
|z| < q5
}
frm:gravijul_2u { ; Variation of gravijul formula - Philip DiGiorgi 3/98
; Original formula by Mark Christenson
bailout = imag(p3), k = real(p3)
z = abs(pixel):
x = real(z), y = imag(z)
w = fn1(x) + k*y, v = fn1(y) + k*x
u = fn2(w + flip(v))
z = fn4(p1/fn3(u*u)) + p2
|z| < bailout
}
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------------------------------
Date: Tue, 17 Feb 1998 20:06:00 -0800
From: James Polley <pollent@coastnet.net.au>
Subject: Re: (fractint) Time for a newsgroup?
Paul and/or Joyce Carlson wrote:
> On the other hand, I have been thinking about posting a rather
> detailed explanation about how I use orbit traps to give my
> images a pseudo-3D look. I would try to keep the math as
> simple as possible. Is there any interest in this?
> Paul Carlson
>
Yes
James P.
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------------------------------
Date: Tue, 17 Feb 1998 20:45:04 -0800
From: James Polley <pollent@coastnet.net.au>
Subject: Re: (fractint) FRACTINT.ORG
Justin A. Kolodziej wrote:
> Kragen wrote:
>
> > Canada (http://www.cdnnet.ca/) charges no fees (yet) for domain-name
> > registration. There's a note on the introduction page:
> >
> > Please note that the CA domain is for Canadian organizations.
> >
> > The .ca registration process apparently takes a minimum of a week, and
> > apparently essentially requires that you either own a trademark or be
> > incorporated, in Canada.
>
> OK, so someone from Canada registers Fractint as a trademark and then
> applies for the domain name. Although then it would cost as much to get
> fractint.ca as it would to get fractint.org... :-(
>
> Guess that won't work. And www.fractint.to doesn't make much sense
> either.
>
> Sounds like www.fractint.org is the choice then.
> Justin K.
Just my 2 bits worth - anyone know what it costs here in Ozland to register? I
have a feeling it may be a little less. I can't check, though because of limited
access time.
Another point, regardless of cost, is do we really want www.fractint.org.au?
maybe not.
Just thought I'd ask!
James P.
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------------------------------
Date: Mon, 16 Mar 1998 13:17:38 -0800
From: Wizzle <wizzle@cci-internet.com>
Subject: (fractint) Colormap Questions
Couple of questions to folks whose email addresses I don't have
1. Phil D....you posted some pars this month and several I think ought to
be included in the colormaps I'm collecting...any objections if I grab what
I want? You had a stripped map I thought was very useful.
2. Where are colormaps from Alice and Janet??? One of the colormaps Alice
used for her contest submittal is, I think, a real winner in the short
gradient category and we ought to see at least something from the 1997
Great Fractal Contest winner and Queen!!!
Alice....can I use your map?
Map count by category to date (after I pruned) is
1. 123 maps - 16
2. blacks - 6
3. jewels - 11
4. short gradients - 7
5. specialty - 4
6. stripes - 3
7. standard gradients - 33
total 80
I still have 32 to evaluate and put into categories.
We may not need a run off at all if we are willing to go with 140 or so
maps. I do want to add some more maps to this total...the more useful ones
from the current set plus some of the intriguing ones posted to the list.
Does anyone know the number of maps now bundled with Fractint?
If we decide to limit ourselves to 100 or so maps, it seems reasonable to
have the run-off in the 123 and standard gradients categories only.
Feedback?
Angela
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