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From: owner-fractint-digest@lists.xmission.com (fractint-digest)
To: fractint-digest@lists.xmission.com
Subject: fractint-digest V1 #349
Reply-To: fractint-digest
Sender: owner-fractint-digest@lists.xmission.com
Errors-To: owner-fractint-digest@lists.xmission.com
Precedence: bulk
fractint-digest Thursday, January 7 1999 Volume 01 : Number 349
----------------------------------------------------------------------
Date: Sun, 3 Jan 1999 20:06:46 -0500
From: JoWeber <JoWeber@compuserve.com>
Subject: (fractint) 1 par
Hi Jim,
what's going on?
>>prnrnbo1.gif { ; image(c)1999 JimWeaver PRN_02 t=3D03m13s PII35=
0
1024x768
My time on P233MMX is 2:37.19!!!
I'm running Windows 95 and start fractint under Norton Commander 5.0 DOS.=
Cheers --Jo (Jochen) Weber--
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------------------------------
Date: Sun, 3 Jan 1999 20:33:24 -0500
From: JoWeber <JoWeber@compuserve.com>
Subject: (fractint) 1 par
Hi Jim,
it's me again.
I rebooted my machine and started fractint solo in pure DOS-mode. Now the=
time is
2:33.63!!
Even on my P166 the image only needs 3:30.53 in pure DOS-mode.
Cheers --Jo Weber--
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------------------------------
Date: Sun, 03 Jan 1999 23:57:01 -0600
From: Lee&SusanLane <slane@kiwi.dep.anl.gov>
Subject: Re: (fractint) 1 par
Hi Jim,
Beautiful image...like a great throned samurai displaying his
magnificent robes. Nice first for '99 and your 'puter. But I join
JoWeber in wondering about the time. My P200 did it in 3:10:15 @
1024X768.
Lee Lane
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------------------------------
Date: Mon, 4 Jan 1999 04:28:40 EST
From: JimBeau549@aol.com
Subject: Re: (fractint) 1 par
Hmmm......I guess maybe there's a bit of tweaking to be done here. If
anyone who is familiar with Windows 98 and knows of any suggestions I'd be
grateful for some tips. Also, I'm running Fractint from a shortcut icon that
jumps to DOS. I tried running directly from DOS and only shaved about 3
seconds off an image. :( I do have a lot to learn about Win98 such as how to
trim all the fat away and get down to the meat.
Anyway, at least I can see my stuff in 1024x768 now. Has anyone ever
converted their images to BMPs and used them on the maze screensaver in Win98?
Now THAT's really cool. :) Enough text for now~
Jim
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------------------------------
Date: Mon, 4 Jan 1999 06:21:55 EST
From: JimBeau549@aol.com
Subject: (fractint) 4 pars (2nd post)
Here's a cool looking mask/face and various other stuff I culled from the
last few days(hrs). <g>
Enjoy~
Jim
****************************************
prnrnbo4.gif { ; image(c)1999 JimWeaver PRN_02 t=03m18s PII350
1024x768
reset=1960 type=formula formulafile=_p.frm formulaname=PRN_02
function=sinh/recip/tanh passes=t
center-mag=-0.0260756/-2.22045e-015/0.4098361/1/-90 params=0/0/0/0
float=y maxiter=255 logmode=fly periodicity=0
colors=0004H20F0MMU<13>_mx`hz<30>CHS00L012<12>AFSBGUAFS<14>0007Mw<4>e00<\
4>zz0<4>UFw00`<5>`oz<4>YFw<2>sff0o`000<14>zo`<15>000000<13>J9`KAcJDc<14>\
0z`<14>Zky`jzaky<13>rudsvcrsd<14>WFx<15>zo`<13>8K5
}
prnrnb11.gif { ; image(c)1999 JimWeaver PRN_02 t=03m37s PII350
1024x768
reset=1960 type=formula formulafile=_p.frm formulaname=PRN_02
function=cotan/cotanh/log passes=t
center-mag=-1.37668e-014/-1.86517e-014/0.9296309/1/-90
params=0/0/0/0 float=y maxiter=255 logmode=fly periodicity=0
colors=000236<2>0007Mw<4>e00<4>zz0<4>UFw00`<5>`oz<4>YFw<2>sff0o`000<14>z\
o`<15>000000<13>J9`KAcJDc<14>0z`<14>Zky`jzaky<13>rudsvcrsd<14>WFx<15>zo`\
<15>0F0MMU<13>_mx`hz<30>CHS00L012<12>AFSBGUAFS<10>347
}
strmkrn1.gif { ; image(c)1999 JimWeaver manlam(fn::fn)
; t=00m33s PII350 1024x768
reset=1960 type=manlam(fn||fn) function=sin/ident passes=t
center-mag=+0.55715089660642110/+0.77114821685158450/2.583497/1/-4.999
params=0/0/15 float=y maxiter=25 bailout=32767 inside=bof60
logmode=fly invert=1/0/0.9 periodicity=0
colors=000gK4<6>ZC5YB5W96U87T77R58<12>zpN<3>jmVelW___```aaaccc<29>000B0A\
<14>d9H<10>A00<8>Y0B`0Ca2D<25>zzm<4>yqVakYYj_Uia<15>CM3AK0BJ0<14>U30<15>\
zcc<17>IDDGCCEAAC99A77<3>000<26>XXXyoRxmNxkJwiF<4>qU6pR4oQ4<4>hL4
}
strmkrn4.gif { ; image(c)1999 JimWeaver manlam(fn::fn)
; t=01m08s PII350 1024x768
reset=1960 type=manlam(fn||fn) function=sin/conj passes=b
center-mag=+0.34976060900827510/-1.73822393300725400/10.6135/1/-155
params=0/0/39 float=y maxiter=255 bailout=12760 bailoutest=and
inside=bof61 logmode=fly invert=1/0/-0.5 periodicity=0
colors=000vZZxaazcc<17>IDDGCCEAAC99A77<3>000<26>XXXyoRxmNxkJwiF<4>qU6pR4\
oQ4<7>dI4cH5bF5aE5_D5ZC5<4>R58<12>zpN<3>jmVelW___```aaaccc<29>000B0A<14>\
d9H<10>A00<8>Y0B`0Ca2D<25>zzm<4>yqVakYYj_Uia<15>CM3AK0BJ0<14>U30<12>tXX
}
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------------------------------
Date: Mon, 4 Jan 1999 08:20:31 -0500
From: wdecker@csc.com
Subject: (fractint) All Crossed Up
I?m not sure if someone posted a recent par using the Lesfrm34 formula =
or
if I started from scratch, but something got me started on investigatin=
g
what you could do with it. Crosses are the connecting theme of most of =
the
images that I liked.
Vine-lattice2 was the first image that I was satisfied with. It is eith=
er a
finely etched, gray, matte surface or a general glowing source obscured=
by
a vine-like lattice. Depends on how your eyes are processing 2D images =
into
3D at the moment. Zooms or slight color shifts accentuate a glassy, gen=
tly
rounded surface.
Disassembly was a derivative of the vine images. It seems to be coming
apart (or coming together.) The fine lines seem to suggest jigsaw puzzl=
e
shapes, adding to the sense of fragmentation.
Biaxial-subframe is a derivative of Disassembly. It is so mechanical in=
appearance that an astronaut?s gloved hand seems just about to enter th=
e
image. Pumps, filters, and hoses peek from access ports. Waffled, rivet=
ed
protective covers hide all except the mechanical nexus where the main
action seems to be (if only we could figure out what it is supposed to =
DO.)
Bill Decker
vine-lattice2 { ; (c) Bill Decker Dec 04, 1998 t=3D 0:03:16.47
; on P100 1024x768
reset=3D1960 type=3Dformula formulafile=3Dfrac_ml.frm formulaname=3Dl=
esfrm34
function=3Dcosxx/sin/asin passes=3D1
center-mag=3D0.138443/-0.0508563/0.1011455/1/-44.998 params=3D5/5/5/5=
potential=3D255/200/0
colors=3D000242<2>111000000000<28>F0FF0FG1GG2G<27>UUUVVVWVVXWWYWW<27>=
yiizj\
jzjjzkk<29>zzzzzzzzy<28>llYkkXkkXjjX<28>XXXWWWWWWVWVVWV<27>HWHGVGGVGF=
UFF\
TF<23>353
}
disassembly { ; (c) Bill Decker Dec 05, 1998 t=3D 0:01:22.22
; on P150 800x600
reset=3D1960 type=3Dformula formulafile=3Dfrac_ml.frm formulaname=3Dl=
esfrm34
function=3Dcotanh/cotan/cosxx passes=3D1
center-mag=3D0.138346/-0.0504816/0.1192496/1/-134.999 params=3D1/0/1/=
0
potential=3D255/200/0
colors=3D000a`L<24>k`ek_ejZd<25>T8PS6OS6O<31>gPThQThRTiSTiTT<31>yxxzz=
zzzy<\
29>llWkkUkkU<45>BPBAOAAOAAOA<18>6E66E66D65C56C58C5<2>CE6DF6EG7GH8<13>=
__I\
``J``J``Ka`L
}
biaxial-subframe { ; (c) Bill Decker Dec 30, 1998 t=3D 0:02:47.74
; on P100 1024x768
reset=3D1960 type=3Dformula formulafile=3Dfrac_ml.frm formulaname=3Dl=
esfrm34
function=3Dcotanh/cotan/cosxx passes=3D1
center-mag=3D0.576302/-0.138974/0.09307674/1/-122.499 params=3D10/0/1=
0/0
potential=3D255/200/0
colors=3D000CLS<3>7GO5FN4EM2CK1AH18E05A<6>1JR1LU3MV<26>vyw<19>NVaLT`J=
R_HPY\
FNX<3>8HT6FS6FS<2>7EQ7EP8DP9CO<16>J1BK0AM3A<14>zt0<13>tb0ta0s_0rZ0<6>=
iL0\
hJ0gI0fH0<10>R60Q50P50O40N30<3>H00<39>jfbkgclhe<11>vuuwwwvww<2>ruwqtv=
osv\
nrulqt<2>hnsfmrelqdkpcjo<21>DMT
}
=
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------------------------------
Date: Mon, 04 Jan 1999 20:06:28 -0500
From: Gedeon Peteri <gedeon@InfoAve.Net>
Subject: (fractint) added new page to website
I uploaded a new page to my Geocities website containing images I
created with simple formulas I wrote based on some equations of curves I
found in an ancient textbook of elementary analytic geometry. I hope you
enjoy them.
I also played around with making bordered backgrounds; some fractal,
some floral, and others. A link to the site containing them is also
found on my Geocities page.
Gedeon
- --
- --------------------------------------------------------------
Fractals: http://www.geocities.com/~gedeonp/index.html
Member Infinite Fractal Loop
Last updated: December 11, 1998 - new page added
Photography: http://members.xoom.com/gedeonp/index.html
Last updated: November 8, 1998
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------------------------------
Date: Tue, 5 Jan 1999 07:14:59 EST
From: SKarl52884@aol.com
Subject: (fractint) AGP
Greetings,
As I am on the verge of building a machine [ 440BX / PII450 ] I see the lure
of AGP and wonder how, if I choose to use AGP, it will impact images done in
fractint,
and or, imaging in general.
Is anyone using an AGP card and if so [ or if not ] do you have any input?
I realize this is off topic. Anyone can write me direct if they would be
inclined.
Thank you,
Steve
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------------------------------
Date: Tue, 5 Jan 1999 15:24:31 EST
From: PKyleCA@aol.com
Subject: Re: (fractint) All Crossed Up
I think I've got the hang of these par things now- I posted some duplicates
last month, not realizing I had done so until seeing the entire file posting.
The following are interesting modifications of files I've been looking at:
- ------------------------------------------------------------------------------
- --------------
tiles { ; (c) 1998 by Paul Kyle, PKyleCA@aol.com
; image a Modification of "Pop Rivet", originally
; (c) 1996 by Les St Clair 101461.2032@compuserve.com
reset=1960 type=formula formulafile=forum_96.frm
formulaname=bj-sg-3-03-gb function=sqr/tan passes=1
center-mag=-0.311771/0.233278/0.1387319/1/-62.498
params=3.1417/0.31414/3.1417/0.6 float=y maxiter=483 outside=atan
periodicity=0
colors=110<109>zz0zz0yy0<45>110000010<45>0y_0z`0y_<46>100
}
GaussianDistortion { ; (c) 1998 by Paul Kyle, PKyleCA@aol.com
; image a Modification of "Pop Rivet", originally
; (c) 1996 by Les St Clair 101461.2032@compuserve.com
reset=1960 type=formula formulafile=forum_96.frm
formulaname=bj-sg-3-03-gb function=cosxx/log passes=1
center-mag=-10.2394/0.532741/0.09792811/1/-90
params=0.14423423/2.414/2.7188/0.00054 float=y maxiter=256
outside=atan periodicity=0
colors=110<109>zz0zz0yy0<45>110000001<45>00x00z00y<43>013121110100
}
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------------------------------
Date: Tue, 5 Jan 1999 15:29:02 EST
From: PKyleCA@aol.com
Subject: (fractint) Pars
A few more, all modifications of Moire Mask....(forgot where I found that one)
Temple puddles { ; Modification of Moire Mask
; (C) 1998 Paul Kyle
reset=1960 type=formula formulafile=chby8.frm formulaname=ca10-08
center-mag=-0.00207363/-0.00207363/0.09361006/1/44.999
params=0.5/0/1/0 float=y maxiter=147 inside=255 potential=255/344/0
invert=6/0/0 colors=000zzz<47>5zz4yy4yy<77>0Wy0Vx0Vx0Vw0Uw<121>000
}
pouring { ; Modification of Moire Mask
; (C) 1998 Paul Kyle
reset=1960 type=formula formulafile=chby8.frm formulaname=ca10-08
center-mag=6.9531/6.95334/1.492843/1/44.999 params=0.5/0/3/0 float=y
maxiter=35 inside=255 potential=255/344/0 invert=6/0/0
colors=000<75>xx0yy0zz0zz0yy0xx0<60>110000000001<60>00x00y00x<44>0010000\
00
}
cathedral { ; Modification of Moire Mask
; (C) 1998 Paul Kyle
reset=1960 type=formula formulafile=chby8.frm formulaname=ca10-08
center-mag=+6.88710589927545400/+6.88734638120362100/364.4637/1/44.998
params=0.5/0/3/0 float=y maxiter=35 inside=255 potential=255/344/0
invert=6/0/0
colors=000<75>xx0yy0zz0zz0yy0xx0<60>110000000001<60>00x00y00x<44>0010000\
00
}
butterflyafire { ; Modification of Moire Mask
; (C) 1998 Paul Kyle
reset=1960 type=formula formulafile=chby8.frm formulaname=ca10-08
center-mag=27.5656/27.5646/0.007381165/1/44.998
params=0.34343/-0.3234/-0.343/0 float=y maxiter=35 inside=255
potential=255/344/0 invert=6/0/0
colors=000<75>xx0yy0zz0zz0yy0xx0<60>110000000001<60>00x00y00x<44>0010000\
00
}
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------------------------------
Date: Tue, 05 Jan 1999 21:31:21 -0800
From: Christopher Springer <santini@home.com>
Subject: (fractint) Accuracy
Greetings...
I have always heard that Fractint is blindingly fast
compared to other such programs because it is
based on integer math instead of floating point math.
However, to do this it makes certain "approximations".
Could this mean the results obtained are only
"approximately" Mandlebrot, perhaps becoming
more and more approximate as iterations and
zoom levels increase???
Are we looking at "true" fractals, or are we just
doing dances with Wolves
in Mandelbrot's clothing???
(I shall now "duck and cover"!!!)
Chris Springer
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------------------------------
Date: Tue, 5 Jan 1999 22:23:00 -0800
From: "Jay Hill" <ehill1@san.rr.com>
Subject: Re: (fractint) Accuracy
Hi Christopher,
Fractint uses more floating point than you might think,
since the current Pentium processors have very fast
floating point math. After you zoom into the Mandelbrot set
a certain amount you pass the limits of double precision
and Fractint switches to extended precision math. So you
can zoom into very high magnifications and get very
nice results.
Jay Hill
- ----------
> From: Christopher Springer <santini@home.com>
> To: fractint@lists.xmission.com
> Subject: (fractint) Accuracy
> Date: Tuesday, January 05, 1999 9:31 PM
>
> Greetings...
>
> I have always heard that Fractint is blindingly fast
> compared to other such programs because it is
> based on integer math instead of floating point math.
>
> However, to do this it makes certain "approximations".
>
> Could this mean the results obtained are only
> "approximately" Mandlebrot, perhaps becoming
> more and more approximate as iterations and
> zoom levels increase???
>
> Are we looking at "true" fractals, or are we just
> doing dances with Wolves
> in Mandelbrot's clothing???
>
> (I shall now "duck and cover"!!!)
>
> Chris Springer
>
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------------------------------
Date: Wed, 6 Jan 1999 07:33:03 -0500
From: wdecker@csc.com
Subject: (fractint) Taking it for granite
(Sorry, I couldn?t resist the chance for a silly Malapropism.)
These images have the general theme of carved stone chased with silver =
or
gold. The fractal is not fully resolved in the regions where very fine
striations are well below the resolution of the screen. The result is a=
fine textured, speckled stone-like surface resembling polished granite.=
The pars are presented in time order in which I created them. (I saved
about 25 pars on my journey in this quest of the best rendition of what=
I
imagined that I saw in the first par in the series.) I?ve got some comm=
ents
that try to let you inside my head as I pursued the ?perfect? image fro=
m
this fractal.
Padds was the first of the images that I saved. It has a slightly diffe=
rent
formula set than the others (asinh rather than sin). I decided to see w=
hat
the pad-like stone surfaces could be evolved to.
Pebble-flowers finally settled on the formula set that I liked, but the=
challenge now was to see if I could find a part of the fractal surface =
that
reminded me of something ?real?. I got some good detail in the dark are=
as
of the image that I would have difficulty in achieving in later pars.
Pebble-flowers3 seemed like something I could work with. The compositio=
n
was kind of symmetric (something I usually don?t like) and seemed to co=
nvey
a stone carver?s decorative intent.
Pebble-flowers4 ends up being my favorite. The granite surface has a mo=
ssy
shade and the moon silver holding the flower petals in place has a mute=
d
sparkle. For some reason, I imagine that the carving is the artist?s
decoration of a natural rock crevice that crosses a stream bed. Water
flowing over this carving seems natural given the dark green shadows in=
the
crevice.
Pebble4p is a fantasy in garnet with gold tinged clasps holding the pie=
ces
in place. Just a side excursion, I liked the glassy reds and gold tinge=
s
but it seemed too unreal for me.
Talus-pebbles is a wider view of a pebbled scene. The rounded rocks and=
broken gems lie in cemented heaps like fossils; an ancient treasure, no=
w
petrified. I like this one almost as much as pebble-flowers4 since it s=
eems
to have a story behind it. Still, the simpler story of pebble-flowers4 =
wins
out. I can see now that I should have stayed with the pebble-flowers4
colors.
Pebbles-wh2 was an attempt to get more detail visible in the depths of =
the
crevices in the carving. Didn?t work. Too light and still no better
definition of the carving in the crevices.
I finally gave it a rest today and decided to try to document the evolu=
tion
of this particular series. I think pebble-flowers4 is still the best
rendition I have to date. Like most other series of this sort (where I =
try
to evolve a fractal), the best result seems to be one of the attempts i=
n
the middle of the series, in this case number 13 in the series.
Without saying so directly in this tale of search and reward, my search=
es
tend to focus on finding fractals that tell me a story. Hmmm, I?ll have=
to
think about that. I'm not sure that it applies to me all the time.
Anyone care to comment on my attempt to tell you how I worked this frac=
tal?
Anyone see a way to get that damn detail in the crevices to become more=
apparent?
If you would like to see a contact print of these seven fractals, go to=
http://www.geocities.com/SoHo/Studios/1450/granite.jpg
The old copy of LView I use for contact prints does not understand long=
file names and seems to use some arcane ordering for drag and dropped
files. Here is the translation table:
padds.gif Padds
pebble~1.gif Pebble-flowers
pebble~2.gif Pebble-flowers3
pebble~3.gif Pebble-flowers4
pebble4p.gif Pebble4p
talus-~1.gif Talus-pebbles
pebble~4.gif Pebbles-wh2
Bill Decker
padds { ; (c) Bill Decker Jan 02, 1999 t=3D 0:02:18.52
; on P150 800x600
reset=3D1960 type=3Dformula formulafile=3D0bill.frm
formulaname=3Dbills_xy-trade4 function=3Dtanh/asinh passes=3D1
center-mag=3D-0.59067018549382360/+0.85725534526282780/2612.355/1/-70=
params=3D5/-5/5/-5/2/2000 float=3Dy potential=3D255/400/0
colors=3D000GH8<13>__I``J``J<27>k`ek_ejZd<25>T8PS6OS6O<32>hQThRTiSTiT=
TjUU<\
30>yxxzzzzzy<29>llWkkUkkU<45>BPBAOAAOAAOA<20>6D65C56C5<2>BD6CE6DF6EG7=
}
pebble-flowers { ; (c) Bill Decker Jan 02, 1999 t=3D 0:02:15.89
; on P150 800x600
reset=3D1960 type=3Dformula formulafile=3D0bill.frm
formulaname=3Dbills_xy-trade4 function=3Dtanh/sin passes=3D1
center-mag=3D-0.78631140962978900/-0.01006275807433995/676.604/1/-117=
.499
params=3D5/-5/5/-5/2/2000 float=3Dy potential=3D255/400/0
colors=3D0005C5<2>9D5BD6CE6DF6<5>MMBNOCPPCQRDRSE<5>__I``J``J<27>k`ek_=
ejZd<\
25>T8PS6OS6O<32>hQThRTiSTiTTjUU<30>yxxzzzzzy<29>llWkkUkkU<45>BPBAOAAO=
AAO\
A<20>6D6
}
pebble-flowers3 { ; (c) Bill Decker Jan 02, 1999 t=3D 0:02:35.94
; on P150 800x600
reset=3D1960 type=3Dformula formulafile=3D0bill.frm
formulaname=3Dbills_xy-trade4 function=3Dtanh/sin passes=3D1
center-mag=3D-0.82456563416819680/+0.00038519494123827/593.9744/1/147=
.499
params=3D4/-3/-5/-5/2/2000 float=3Dy potential=3D255/600/0
colors=3D0009D5BD6CE6<4>JK9KLAMMBNOCPPCQRD<6>__I``J``J<27>k`ek_ejZd<2=
5>T8P\
S6OS6O<32>hQThRTiSTiTTjUU<30>yxxzzzzzy<29>llWkkUkkU<45>BPBAOAAOAAOA<2=
0>6\
D65C56C58C5
}
pebble-flowers4 { ; (c) Bill Decker Jan 03, 1999 t=3D 0:02:26.16
; on P150 800x600
reset=3D1960 type=3Dformula formulafile=3D0bill.frm
formulaname=3Dbills_xy-trade4 function=3Dtanh/sin passes=3D1
center-mag=3D-0.78550758907534370/-0.00005011653741778/695.1953/1/-17=
7.498
params=3D5/-5/5/-5/2/2000 float=3Dy logmode=3Dfly potential=3D255/400=
/0
colors=3D0009L9<13>6E66E66D65C56C58D59D5BD6CE6<6>MMBNOCPPCQRDRSE<5>__=
I``J`\
`J<25>j`ck`dk`ek_ejZdiYc<24>T8PS6OS6O<31>gPThQThRTiSTiTT<31>yxxzzzzzy=
<29\
>llWkkUkkU<45>BPBAOAAOAAOA<3>9M9
}
pebble4p { ; (c) Bill Decker Jan 03, 1999 t=3D 0:02:13.47
; on P150 800x600
reset=3D1960 type=3Dformula formulafile=3D0bill.frm
formulaname=3Dbills_xy-trade4 function=3Dtanh/sin passes=3D1
center-mag=3D-1.04982526055679900/+0.02567678695971272/105.0201/1/162=
.499
params=3D5/-5/5/-5/2/2000 float=3Dy logmode=3Dfly potential=3D255/600=
/0
colors=3D000500<7>100000000000<38>K00K00K00K10L20<38>cV0dW0dW1eX2<39>=
yyxzz\
zzyz<39>g2Xf0Wf0W<39>N01M00M00L00<30>600
}
talus-pebbles { ; (c) Bill Decker Jan 03, 1999 t=3D 0:02:21.49
; on P150 800x600
reset=3D1960 type=3Dformula formulafile=3D0bill.frm
formulaname=3Dbills_xy-trade4 function=3Dtanh/sin passes=3D1
center-mag=3D-1.05119645670889500/+0.01473867280503022/45.16367/1/-13=
2.5
params=3D5/-5/5/-5/2/2000 float=3Dy logmode=3Dfly potential=3D255/300=
/0
colors=3D000202<22>E0EF0FF0FF0F<29>UUUVVVVVWWWXWWY<27>iiyjjzjjzkkz<30=
>zzzz\
zzyyz<28>kkzkkzjjyjjx<28>WWWWWWVWVVWVVWV<26>HWHGVGGVGFUFFTF<27>111000=
000\
000<2>202
}
pebbles-wh2 { ; (c) Bill Decker Jan 04, 1999 t=3D 0:02:26.33
; on P150 800x600
reset=3D1960 type=3Dformula formulafile=3Dfrac_ml.frm
formulaname=3Dbills_xy-trade4 function=3Dtanh/sin passes=3D1
center-mag=3D-0.78550758907534370/-0.00005011653741778/695.1953/1/-17=
7.497
params=3D5/-5/5/-5/2/2000 float=3Dy logmode=3Dfly potential=3D255/100=
0/0
colors=3D0F0<68>zzzzzzzzy<43>hkYgjXgjXgjX<35>XaNXaNWaNWaNW`NV`M<6>S_L=
S_LS_\
LS_LR_L<84>0F0
}
frm:bills_xy-trade4 {
a =3D real(p1), b =3D imag(p1)
c =3D real(p2), d =3D imag(p2)
e =3D real(p3), f =3D imag(p3)
z =3D pixel+1/pixel
zold =3D pixel^e:
x =3D (real(z)-real(zold))^a
y =3D (imag(z)-imag(zold))^b
zold =3D z
z =3D (y +flip(x))
z =3D (fn1(z))^c - (fn2(zold))^d
|z| < f
}
=
- --------------------------------------------------------------
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------------------------------
Date: Wed, 6 Jan 1999 16:40:41 -0000
From: "Matthew Bennett" <bennett@btinternet.com>
Subject: Re: (fractint) Accuracy
It depends, I think, partially on your drawing method. If you choose the
"guessing" type (where the fractal appears to be "focused" in to a clear
picture) then I think there's the possibility all the pixels may not be the
exact correct colour. However, choose the 1-pass option and I'm pretty sure
the fractal produced is perfect - regardless of zoom level.
Matt
- -----Original Message-----
From: Christopher Springer <santini@home.com>
To: fractint@lists.xmission.com <fractint@lists.xmission.com>
Date: Wednesday, 06 January 1999 5:33 AM
Subject: (fractint) Accuracy
>Greetings...
>
>I have always heard that Fractint is blindingly fast
>compared to other such programs because it is
>based on integer math instead of floating point math.
>
>However, to do this it makes certain "approximations".
>
>Could this mean the results obtained are only
>"approximately" Mandlebrot, perhaps becoming
>more and more approximate as iterations and
>zoom levels increase???
>
>Are we looking at "true" fractals, or are we just
>doing dances with Wolves
>in Mandelbrot's clothing???
>
>(I shall now "duck and cover"!!!)
>
>Chris Springer
>
>
>--------------------------------------------------------------
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>
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------------------------------
Date: Wed, 06 Jan 1999 11:15:11 -0600
From: "Damien M. Jones" <dmj@fractalus.com>
Subject: Re: (fractint) Accuracy
Chris,
- I have always heard that Fractint is blindingly fast
- compared to other such programs because it is
- based on integer math instead of floating point math.
Actually, these days FractInt is only moderately fast. It's not the
fastest (I believe that prize currently goes to Fractal eXtreme) but it's
far from the slowest.
FractInt is as fast as it is for several different reasons, not just
integer math. It's also fast because it takes advantage of fractal
symmetry (when it can), because it uses solid guessing to eliminate
calculating portions of the image, and because it uses periodicity checking
to detect periodic orbits early in the iterating sequence.
The idea behind using integer math is that it lets you work with 32-bit
precision instead of 64-bit precision. Prior to the Pentium this was a big
win; 32-bit precision could be done with integers the core CPU could
handle, while 64-bit precision required using the (slow) FPU. With the
Pentium, the FPU is fiendishly fast, and the advantage of using 32-bit
precision is gone. In any case, using 32-bit precision does cause some
distortion when you zoom in far enough; FractInt automatically switches to
64-bit precision when necessary so you won't notice (usually).
Solid guessing is the progressive refinement process, but on each
refinement pass, FractInt checks each block to see if its neighboring
blocks are all the same color. If they are, it stops refining that block.
This can eliminate a lot of calculations, although in the more detailed
areas it is less effective. FractInt also offers boundary tracing, which
is a similar concept--outline areas of solid color, and don't calculate the
interior of those regions.
Periodicity checking is about paying attention to the iterations and
looking for periodic patterns. Most of the points that do not bail out of
the M-set calculation fall into periodic orbits. If these can be detected
at the start of the periodic cycle, then it is safe to skip the rest of the
iterations, since they will just produce repeating values. This allows
interior regions to be calculated very quickly.
- However, to do this it makes certain "approximations".
-
- Could this mean the results obtained are only
- "approximately" Mandlebrot, perhaps becoming
- more and more approximate as iterations and
- zoom levels increase???
In one sense, every image is an approximation, since the precision of our
computers is always (at some point) limited. Any algorithm or technique
used to avoid doing the actual work of generating a fractal will introduce
some errors, sometimes very subtle. Solid guessing fails on thin strands
of detail. Periodicity checking fails on spiral arms (since these often
exhibit periodic-like behavior before diverging). And limited precision
produces blockiness when the error between the correct pixel coordinate and
its closest approximation in the limited precision becomes significant.
If you continued to zoom in FractInt without switching away from integer
math, you would certainly be getting a more and more distorted view of the
fractal. Similarly, if you zoomed in on a spiral arm that was incorrectly
rendered because of periodicity checking, you would be getting a more and
more inaccurate view of the fractal. Acceleration techniques are tools,
and knowing when to disable them is important if you are interested in
accurate fractals.
The fact that there is such close agreement between the "true" fractal
shape and the approximations provided by acceleration techniques is
precisely what makes them valuable. If you have no confidence in limited
precision having any resemblance to the "true" fractal shape, I can explain
further.
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: Wed, 6 Jan 1999 19:29:16 +1
From: "J.P. Louvet" <louvet@iuta.u-bordeaux.fr>
Subject: Re: (fractint) Accuracy
le 5 Jan 99 a 22:23, Jay Hill ecrivait (Jay Hill wrote) :
> Hi Christopher,
>
> Fractint uses more floating point than you might think,
> since the current Pentium processors have very fast
> floating point math. After you zoom into the Mandelbrot set
> a certain amount you pass the limits of double precision
> and Fractint switches to extended precision math. So you
> can zoom into very high magnifications and get very
> nice results.
>
> Jay Hill
> ----------
It uses floating point if you select Floating point algorithm = yes in the
Basic Options menu.
- -------------------------------------------------------------------------
J.P. Louvet | Phone : (33)56-84-58-35
IUT Universite Bordeaux I | email : louvet@iuta.u-bordeaux.fr
33405 Talence CEDEX France | email : louvet@hs-serveur.iuta.u-bordeaux.fr
- -------------------------------------------------------------------------
Fractales sur serveur Web Universite Bordeaux I :
http://graffiti.cribx1.u-bordeaux.fr/MAPBX/louvet/jpl0.html
- -------------------------------------------------------------------------
- --------------------------------------------------------------
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------------------------------
Date: Wed, 6 Jan 1999 19:01:52 -0600
From: "Tim Wegner" <twegner@phoenix.net>
Subject: Re: (fractint) Accuracy
Matt wrote:
> However, choose the 1-pass option and I'm pretty sure
> the fractal produced is perfect - regardless of zoom level.
You are correct as far as you go. The one pass option with
symmetry=none and periodicity=0 is relatively accurate.
However, there are still two large inaccuracies.
1. The maxiteration limit has to be infinity for perfect accuracy. For
any finite value of maxiter, it is possible that some points are "in
the lake" that ought not be. For example, if the maximum iteration
is set for 1000000 and a particular orbit has not escaped by then,
the pixel is colored the "inside" color. But for all you know, the orbit
was about to escape, and in fact would have escaped at iteration
number 1000001. So that point is colored wrong. The "lake" is
always slightly too big.
2. Computers can only represent complex numbers approximately.
Even using arbitrary precision, the orbit is not absolutely correct.
Some of the fractal algorithms are extraordinarily sensitive to very
small changes and show this clearly. One example is popcornjul. I
have been experimenting with this, and small differences in coding
logic that, for example, cause an intermediate value to be truncated
to 64 bits, can change many image colors.
Tim
Given these two facts, it is amazing how well computers do. Try
the default mandelbrot using 1500 digits of arbitrary precision and
with maxiter set to 32000 and see how different it looks. The
answer is not very different!
Tim
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------------------------------
Date: Thu, 07 Jan 1999 18:03:14 -0500
From: davides <davides@pipeline.com>
Subject: (fractint) video card/makemig
On attempting to make a large image (v window/300 x 300 or otherwise), "b"
command: 6 x 6 or otherwise (4 x 4 etc), goto main screen, shell to dos,
makemig, and now I have a large file. I see comments as it whizzes by about
not enough memory...at end, simplgif fractmig.gif <name>.gif I receive an
"oops, insufficent memory (words to that effect). Is Fractint attempting
to tell me that I should maybe replace my S3 Vision864PCI with something
else? Or do I have another another problem? Any guesses?
Off topic and I do apologize for this...(and you wouldn't believe the story
behind why I am doing this...)
davides@pipeline.com
ds30@umail.umd.edu
Back up my hard drive?
How do I put it in reverse?
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------------------------------
Date: Thu, 7 Jan 1999 23:38:00 +0100
From: "Jacco Burger" <jaccobu@kabelfoon.nl>
Subject: (fractint) gallery update
I recently finished making a new version of my web gallery, and
uploaded it yesterday.
I renamed it 'Jacco's Fractal Pages' because I discovered two other
Jacco's Homepages on the Internet.
Some changes and additions are:
I got rid of the frames and most of the non-fractal graphics (do I
hear 'Hurray!!' ?).
I added a gallery with new fractals, a page with my contest
submissions and another zip-file of color maps for Fractint.
Some of you already had a preview of the color maps.
The URL hasn't changed, it is still:
http://wwwserv.caiw.nl/~jaccobu/index.htm
I hope you will enjoy it and let me know what you think!
Bye!
Jacco
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------------------------------
Date: Thu, 7 Jan 1999 19:02:50 EST
From: JimBeau549@aol.com
Subject: Re: (fractint) gallery update
Hi Jacco,
Jim Weaver here. Just saw your pages and wanted to tell you I really liked
them. By the way....are you a Frank Zappa fan?? The reason I ask is a few of
your images have titles I recognize from his music. I have about 23 or so of
his vinyl albums that I've collected over the years. Too bad he isn't around
anymore.
Anyway, great work on the site.
Take care~
Jim Weaver
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------------------------------
Date: Thu, 7 Jan 1999 19:06:40 EST
From: JimBeau549@aol.com
Subject: (fractint) 13 pars
Hi Folks,
Here are a few more images from the last couple of days.
Enjoy~
Jim Weaver
******************************************************************************
**
Epsilon01 { ; image(c)1999 JimWeaver manlam(fn:fn)
t=01m13s@1024x768
; strmkre3.gif
reset=1960 type=manlam(fn||fn) function=sin/ident passes=t
center-mag=-0.38546299257569520/+2.04627746292502000/8.701738/1/65
params=0/0/10 float=y maxiter=75 bailout=32767 inside=epsiloncross
logmode=fly invert=1/0/0.5 periodicity=0
colors=000XCA<10>zpN<3>jmVelW___```aaaccc<29>000B0A<14>d9H<10>A00<8>Y0B`\
0Ca2D<25>zzm<4>yqVakYYj_Uia<15>CM3AK0BJ0<14>U30<15>zcc<17>IDDGCCEAAC99A7\
7<3>000<26>XXXyoRxmNxkJwiF<4>qU6pR4oQ4<7>dI4cH5bF5aE5_D5ZC5<4>R58U99
}
Epsilon02 { ; image(c)1999 JimWeaver manlam(fn:fn)
t=01m34s@1024x768
; strmkre5.gif
reset=1960 type=manlam(fn||fn) function=sin/ident passes=t
center-mag=-0.42757133808480210/+2.07054662670096300/41.37695/1/87.499
params=0/0/10 float=y maxiter=75 bailout=32767 inside=epsiloncross
logmode=fly invert=1/0/0.5 periodicity=0
colors=000XCA<10>zpN<3>jmVelW___```aaaccc<29>000B0A<14>d9H<10>A00<8>Y0B`\
0Ca2D<25>zzm<4>yqVakYYj_Uia<15>CM3AK0BJ0<14>U30<15>zcc<17>IDDGCCEAAC99A7\
7<3>000<26>XXXyoRxmNxkJwiF<4>qU6pR4oQ4<7>dI4cH5bF5aE5_D5ZC5<4>R58U99
}
Epsilon03 { ; image(c)1999 JimWeaver manlam(fn:fn)
t=00m42s@1024x768
; strmkrep.gif
reset=1960 type=manlam(fn||fn) function=sin/ident passes=t
center-mag=+0.75399936894768000/+0.60498643306685650/2.583497/1/-4.999
params=0/0/15 float=y maxiter=40 bailout=32767 inside=epsiloncross
logmode=fly invert=1/0/0.9 periodicity=0
colors=000lON<6>zcc<17>IDDGCCEAAC99A77<3>000<26>XXXyoRxmNxkJwiF<4>qU6pR4\
oQ4<7>dI4cH5bF5aE5_D5ZC5<4>R58<12>zpN<3>jmVelW___```aaaccc<29>000B0A<14>\
d9H<10>A00<8>Y0B`0Ca2D<25>zzm<4>yqVakYYj_Uia<15>CM3AK0BJ0<14>U30<7>jMK
}
Epsilon04 { ; image(c)1999 JimWeaver lambda
t=00m05s@1024x768
; lambda05.gif
reset=1960 type=lambda passes=t
center-mag=1.22897/2.17354/0.1008976/1/-10
params=0.8633999999999999/0.65 float=y maxiter=23
inside=epsiloncross invert=0.5/0/0 decomp=256 periodicity=0
colors=000000<15>0pp<9>0LL0HH2II<12>TZVW`WW`W<12>a`Xb_Ya_X<5>aXS`WRZUQ<3\
>PMK<13>m_Qo`Ro`R<13>oeWoeWoeWoeWneX<9>ke_ke_je_ie_<9>baXaaX``W`_W<9>jfe\
kgfkgfkgf<11>niiojjnjgmidlha<7>f_UeZTdZT<13>MWWWZZfba<7>zjo<4>ncjkbijbi<\
12>OSXMRWMQU<13>L80<2>UG0YJ0`L0dO0gR0<2>rZ0<11>400A00700300
}
Inverted01 { ; image(c)1999 JimWeaver manlam(fn:fn)
t=00m40s@1024x768
; zmndl001.gif
reset=1960 type=manlam(fn||fn) function=tanh/exp passes=t
center-mag=+1.40808344198175800/+0.00782013685239269/0.6016847/1/-90
params=-1.1/0/1 float=y maxiter=25 bailoutest=and inside=bof60
invert=1/0.5/0 periodicity=0
colors=000zr8<4>z_S<5>zD4z90x87<3>m3bj1jf1f<10>000<15>0f0<15>zz0<15>zzz<\
15>000<12>TN0WO0YQ0`S0aU0<14>zz0<14>jB0i70f70<14>000<15>S5N<15>zz0<14>ZZ\
8XX8VW8TU8RS8<2>LM6JK6HI6FG6DF5<2>795574354033077<10>3nn3rr5nr7jr9frBbr<\
3>Qzb<9>zz0zv4
}
Inverted02z { ; image(c)1999 JimWeaver manlam(fn:fn)
t=01m02s@1024x768
; zmndl002.gif
reset=1960 type=manlam(fn||fn) function=tanh/exp passes=t
center-mag=+1.44086018210112400/-0.59332913437865510/2.730165/1/175
params=-1.1/0/1 float=y maxiter=25 bailoutest=and inside=bof60
invert=1/0.5/0 periodicity=0
colors=000znC<3>z_S<5>zD4z90x87<3>m3bj1jf1f<10>000<15>0f0<15>zz0<15>zzz<\
15>000<12>TN0WO0YQ0`S0aU0<14>zz0<14>jB0i70f70<14>000<15>S5N<15>zz0<14>ZZ\
8XX8VW8TU8RS8<2>LM6JK6HI6FG6DF5<2>795574354033077<10>3nn3rr5nr7jr9frBbr<\
3>Qzb<9>zz0zv4zr8
}
Inverted03 { ; image(c)1999 JimWeaver manlam(fn:fn)
t=01m33s@1024x768
; zmndl007.gif
reset=1960 type=manlam(fn||fn) function=tan/exp passes=t
center-mag=+1.20878997795874200/+0.00782013685238781/0.6491804/1/-90
params=-1/0/0.7854 float=y maxiter=75 bailout=400 inside=bof60
invert=1/0.5/0 periodicity=0
colors=000ZIJ<2>IA1000F57Q9C_CHhGMoKPtORwSSwSTuORpLPjHMaDIS9DH58513000KE\
FVKHcPJlVLr_NwePyjRzkRxePs`NmVLeQJ<2>BAD000QOEZUPgZYncetilxnpzsrztsxoqti\
lodfh_Z`UQRPGIK60009MGHULPaQXgUclZkpcsrhtrhlqddm_XhVQbQ<2>2FC000CFC<5>l`\
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}
Inverted04 { ; image(c)1999 JimWeaver manlam(fn:fn)
t=01m01s@1024x768
; zmndl008.gif
reset=1960 type=manlam(fn||fn) function=tan/exp passes=t
center-mag=+1.31486475445177000/+0.00782013685238736/0.6104876/1/-90
params=-2/0/0.3 float=y maxiter=75 bailout=400 inside=bof60
invert=1/0.5/0 periodicity=0
colors=000JBQH3HF00S76XACbCIgFOjIUhQ`iTfiTfhQ`fNVbLPZIJ<2>IA1000F57Q9C_C\
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}
Inverted05 { ; image(c)1999 JimWeaver manlam(fn:fn)
t=02m57s@1024x768
; zmndl010.gif
reset=1960 type=manlam(fn||fn) function=tan/exp passes=t
center-mag=+0.86628858419803010/-1.06314975157572800/4.131818/1.1046/-15\
4.999 params=0.1/0/0.3 float=y maxiter=75 bailout=400 inside=bof60
invert=1/0.5/0 periodicity=0
colors=000trhlqddm_XhVQbQ<2>2FC000CFC<5>l`hm`h<6>7C7000JBCRMGXWKbcOgjQjo\
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}
Inverted06 { ; image(c)1999 JimWeaver manlam(fn:fn)
t=00m56s@1024x768
; zmndl011.gif
reset=1960 type=manlam(fn||fn) function=tan/sqr passes=t
center-mag=+1.11675606098442400/+0.00782013685238070/0.6028182/1/-90
params=-1.5/0/0.3 float=y maxiter=75 bailout=400 inside=bof60
invert=1/0.5/0 periodicity=0
colors=000VZT`b`ffglgolgpgfhacaWZUQUN<2>9800006BKCJQJQVPY`TdfWklYsrYtsWl\
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rTlrUkpThkRceOZXL<2>D18000EE7KMEPTM
}
Inverted07 { ; image(c)1999 JimWeaver manlam(fn:fn)
t=02m51s@1024x768
; zmndl012.gif
reset=1960 type=manlam(fn||fn) function=tan/sqr passes=t
center-mag=+1.90182126728575400/+0.36444632948469860/1.938572/1/-117.5
params=-1.5/0/0.3 float=y maxiter=75 bailout=400 inside=bof60
invert=1/0.5/0 periodicity=0
colors=000acaWZUQUN<2>9800006BKCJQJQVPY`TdfWklYsrYtsWlmUegQYaKRWEKQ8CK05\
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2>D18000EE7KMEPTMVZT`b`ffglgolgpgfh
}
Inverted08 { ; image(c)1999 JimWeaver manlam(fn:fn)
t=02m44s@1024x768
; zmndl013.gif
reset=1960 type=manlam(fn||fn) function=tan/sqr passes=t
center-mag=+5.43676662320729900/-0.00000000000000533/0.1972387/1/-90
params=-1.5/0/0.3 float=y maxiter=75 bailout=400 inside=bof60
invert=1/0.9/0 periodicity=0
colors=0009EQ<13>0007Mw<4>e00<4>zz0<4>UFw00`<5>`oz<4>YFw<2>sff0o`000<14>\
zo`<15>000000<13>J9`KAcJDc<14>0z`<14>Zky`jzaky<13>rudsvcrsd<14>WFx<15>zo\
`<15>0F0MMU<13>_mx`hz<30>CHS00L012<12>AFSBGUAFS
}
Inverted09 { ; image(c)1999 JimWeaver manlam(fn:fn)
t=02m41s@1024x768
; zmndl014.gif
reset=1960 type=manlam(fn||fn) function=tan/sqr passes=t
center-mag=+4.33947848761407700/-2.88109481915934300/0.3472512
params=-1.5/0/0.3 float=y maxiter=75 bailout=400 inside=bof60
invert=1/0.9/0 periodicity=0
colors=0009EQ<13>0007Mw<4>e00<4>zz0<4>UFw00`<5>`oz<4>YFw<2>sff0o`000<14>\
zo`<15>000000<13>J9`KAcJDc<14>0z`<14>Zky`jzaky<13>rudsvcrsd<14>WFx<15>zo\
`<15>0F0MMU<13>_mx`hz<30>CHS00L012<12>AFSBGUAFS
}
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End of fractint-digest V1 #349
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