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fractint-digest         Friday, June 29 2001         Volume 01 : Number 578




----------------------------------------------------------------------

Date: Thu, 28 Jun 2001 02:06:05 -0700 (PDT)
From: Pedro Lopes <[e-mail]>
Subject: Re: (fractint) C-FOTD 21-06-01 (Fractal Caterpillars [6])

- --- Multiple Bogeys <[e-mail]> wrote:
> > I'm thinking of purchasing another fractal
computer, a state-of-
> > the-art machine, so I would be interested in
hearing reports of
> > the time required to render today's particularly
difficult scene
> > on different machines with different CPU's.  If I
do make the
> > purchase, I want to be sure I'm getting the
fastest fractal
> > rendering machine possible.
>
(snip)
> If you have a merely mortal ability to take
> financial punishment, then a recent Athlon, Duron,
> or Pentium III or IV CPU is your choice. There are
> price lists with comparisons of FPU performance,
> integer performance, and other characteristics out
> there on the net for these Intel-family CPUs. Even
> among these, a curve of available power is apparent,
> with generally more money needed to get a faster
> box.

I would recommend staying well away from Pentium 4,
unless you really don't care about how much you spend.
Among these I would go for the AMD Athlon. The
floating point performance of these chips is very
strong... in fact the overall price/performance ratio
of the Athlons is *much* better than anything intel
has to offer right now.
Of course CPU prices change every week, so I don't
know
how much longer this will hold true...
Cheers,Pedro Lopes


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------------------------------

Date: Thu, 28 Jun 2001 09:25:10 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) C-FOTD  28-06-01  (Fringed Minibrot [8])

Classic FOTD -- June 28, 2001 (Rating 8)

Fractal visionaries and enthusiasts:

I consider myself a fractal purist -- that is I see fractals as
the same things they were considered to be when they were
originally discovered.  I do not see fractals as a means of
expressing one's latent artistic talent.  There are countless
other ways to do this.

When they were discovered 20 or so years ago, fractals were seen
as a means of visualizing the things numbers do when taken far
beyond the limit of human calculating ability.  The most common
means of coloring those early images was to leave the area of
trapped points black and color the outside area according to how
many iterations were needed for the points to pass beyond a
certain escape radius.  We realized even then that other
coloring methods were possible, but this equal-iteration-band
method became the unofficial fractal reference standard.

This is the method I still use for nearly all my images.  I use
it because it eliminates much of what I have done and shows more
of what the numbers are doing.  True, even I am not perfect, so
I express a little of my creativeness when I color the images.
I do the FOTD for fun, not profit, though if profit came along,
I would not turn it down.

I mention fractal purity because today's image digresses a bit
from my ideals.  In today's image, the outside area has been set
to <summ> rather than <iter>.  I did this because the <summ>
outside option in this case makes the better picture -- an image
filled with delicate detail compared to the flat areas created
by the traditional equal-iteration-bands rendering method.

The formula behind the image, (1/Z)-Z^300+(1/C), is a
surprisingly simple formula for such a detailed image.  But
that's the way it is when chaos raises its head.  I named the
image "Fringed Minibrot" as a description, and rated it at an 8
because I like it.

The parameter file takes 20 minutes to render.  The GIF-format
image takes only one minute to download from:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

or from:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

But give Paul and Scott a chance to render and post the image
before attempting the download.

The fractal weather today was the typical stagnant summer
pattern, with hazy sunshine and lots of ozone.  The fractal cats
didn't worry about the ozone, but the temperature of 93F (34C)
was a bit too warm for their delicate constitutions.

As for myself, it's time to get busy and make some money.  But
I'll return within 24 hours with another fractal to go 'WOW!'
at.  Until then, take care, and I'm still searching for one of
those elusive Herman Rings.  I went to the jewelers, but they
had never heard of them.


Jim Muth
[e-mail]


START 20.0 PAR-FORMULA FILE================================

Fringed_Minibrot   { ; time=0:20:31.10--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-13.06399625631058/+10.40371429338124/1\
  91811.7/1/-172.499 params=1/-1/-1/300/0/0 float=y
  maxiter=2400 inside=0 outside=summ periodicity=10
  colors=000EXUDWTCVRBUQBTPAURAVT9WV9XX8YZ8Z`7_b7`d6\
  af6bg9ecCg_FjWIlSLoOOqKRsGUoEXkD_gCbcAe_9hW8kS6nO5\
  qK4sH3pGBmFIjFPgEWdEbaDi_DpaEocEneEmgEliFlkFkmFjoF\
  iqGisGhuGgwGfyGfvKdsNbpQ`mUZjXYg_WebUbfS_iQXlPUpNR\
  sLOvJMyIKxOJxUIx_GxdFxjExpDxuHrsLlqPgoSanWWl_RjcLh\
  fGghJciM`kPYlRVnUSoXPpZMmXPjVShTUeRXcPZ`NaYLcWJfTH\
  hRFkODmLBpJ9rG7uE6wSRpdjiSchGYg4SgBUeHWcNYaUZ__`Ye\
  bWkcVlgZlkamoensinwlnwlmvkmvklvjlujkujktijtijthjsh\
  isgirghrghrfgqfgqefqefpeepdeodeocdocdnbcnbcmbbmabm\
  aal`al`MTgNVfOWfPXeQYeR_dS`dTacUbcVdcWebXfbYgafhti\
  jtfelc`e`XYYSRVNJSJCTMFUPHVSKWVMXYPY`RZcUal__fW`iZ\
  BwjItgPqeWnbdBLcJPbRSbYVaeYRJUTOVVSWWWXY`YZdZ`h_Fq\
  AGpCHpDIpEaRm`PmZNmYLmWJmVImYJo`KpbLqeMrhNsjOtlSon\
  VkpYgr`ctdZvgVxjRzmNxlQvlTtlVrlYpk_nkblkejkghjjfjl\
  djobjqjfcrcQz`CrWDkSEcOFXKGQFHIBIB7J43J7CS9L`BTiDU\
  hEUhFUhGUhHUhIUhJUhKUhLUh
  }

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, 28 Jun 2001 11:16:45 -0400
From: [e-mail]
Subject: Re: (fractint) need some assistance... third attempt to post

Dear nltnme:

Since nobody has helped you so far, I will respond, although I won't be able to
be very helpful.

>>>  I would like to set up the printer to print a ps file... i believe I did it
once in an older version of fractint, running on a DOS machine.<<<

What is a ps file?? If you want to print a fractal generated by fractint, save
it as a gif and use a 3rd party Windows program.

>>>  I'd like to know if there is a formula that with do a Mandelbrott in
reverse... that is.. fill the blue lake areas with the colors of the shore
line.<<<

You can get colors in the 'lake' by choosing Inside options on the Basic Options
screen (hit X while the fractal is on the screen). I'm not exactly sure what you
mean by 'colors of the shore line'.

>>> There is a formula I use at work... would be lengthy to explain here... but
involves some basic variable which are multiplied, results multiplied by other
varialble, result divided.. I would like to.. for the fun of it... see what kind
of factal the results would generate.  Is there anyone out there that might be
able to assist me? <<<

I can't help you here. Maybe somebody else will jump in. Bradley Beacham wrote a
tutorial on how to use the formula editor. See:
http://spanky.triumf.ca/www/fractint/frm-tut/frm-tutor.html

Nick



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------------------------------

Date: Thu, 28 Jun 2001 23:37:32 +0800
From: "O Bd" <[e-mail]>
Subject: Re: (fractint) need some assistance... third attempt to post

Just a quick tip...

Often, when attempting to print from a DOS application running in Windows, it doesn't work. This is due to the printer driver not being set up for printing from DOS.

A quick test can be done like so...

COPY CONFIG.SYS LPT1:

If nothing prints, this confirms the printer problem.

Solution!!!

Reinstall the printer in Windows. During the installation a prompt asking if you wish to print from DOS based applications appears (usually bottom left of window so you ignore it). Select YES

Then try to print from DOS again, like the example above.

VOILA!!!!

Well, it's always worked for me anyway. I work for a company who still sell DOS applications to thousands of clients. They often have this problem.

Also, another idea is to save the fractal as a GIF file and then print from Windows. There's a pretty neat program that comes with MS Office which handles images in various formats quite well.

My two pence...

<going back to hiding under that stone>



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------------------------------

Date: Thu, 28 Jun 2001 23:37:56 +0800
From: "O Bd" <[e-mail]>
Subject: Re: (fractint) need some assistance... third attempt to post

Just a quick tip...

Often, when attempting to print from a DOS application running in Windows, it doesn't work. This is due to the printer driver not being set up for printing from DOS.

A quick test can be done like so...

COPY CONFIG.SYS LPT1:

If nothing prints, this confirms the printer problem.

Solution!!!

Reinstall the printer in Windows. During the installation a prompt asking if you wish to print from DOS based applications appears (usually bottom left of window so you ignore it). Select YES

Then try to print from DOS again, like the example above.

VOILA!!!!

Well, it's always worked for me anyway. I work for a company who still sell DOS applications to thousands of clients. They often have this problem.

Also, another idea is to save the fractal as a GIF file and then print from Windows. There's a pretty neat program that comes with MS Office which handles images in various formats quite well.

My two pence...

<going back to hiding under that stone>



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------------------------------

Date: Thu, 28 Jun 2001 23:37:59 +0800
From: "O Bd" <[e-mail]>
Subject: Re: (fractint) need some assistance... third attempt to post

Just a quick tip...

Often, when attempting to print from a DOS application running in Windows, it doesn't work. This is due to the printer driver not being set up for printing from DOS.

A quick test can be done like so...

COPY CONFIG.SYS LPT1:

If nothing prints, this confirms the printer problem.

Solution!!!

Reinstall the printer in Windows. During the installation a prompt asking if you wish to print from DOS based applications appears (usually bottom left of window so you ignore it). Select YES

Then try to print from DOS again, like the example above.

VOILA!!!!

Well, it's always worked for me anyway. I work for a company who still sell DOS applications to thousands of clients. They often have this problem.

Also, another idea is to save the fractal as a GIF file and then print from Windows. There's a pretty neat program that comes with MS Office which handles images in various formats quite well.

My two pence...

<going back to hiding under that stone>



- --

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------------------------------

Date: Thu, 28 Jun 2001 16:55:39 -0000
From: "Andrew Coppin" <[e-mail]>
Subject: (fractint) Fractal God

The immortal book "The Beauty of Fractals" rants on at length about
"critical points". IIRC, a critical point is a solution to the derrivative
of the formula drawing the fractal, and further, I believe it says somewhere
that every basin of attraction must contain at least one critical point. (I
think there was some restriction on the kind of formula for which this is
true...)

Clearly critical points are important. So I decided to create a formula
where *I* control the critical points.

I began with
  (Z-S)(Z-T)(Z-U)=0,
who's solutions (I hope) are S, T and U. If you open the brackets, I think
you get
  Z^3 + (S+T+U)Z^2 + (ST+TU+SU)Z + (STU) = 0.
If my sister's integral calculus is correct, then the integral of the above
is
  (1/4)Z^4 + ((S+T+U)/3)Z^3 + ((ST+TU+SU)/2)Z^2 + (STU)Z + C.
In other words, this formula creates a fractal with critical points S, T and
U.

The results of this experiment were interesting. (I shall have to download
that developer patch that gives you extra FRM paramerets though!) By
choosing the right figures (S=1, T=-1, U=i or something I think it was) I
can get a quadratic Julia surrounded by mini Julias (of the same type). It's
difficult to controll though...

Does any one here know the conditions required for a minibrot to form? I
know it has something to do with critical points, but can't remember the
details...

If anyone has anything else to say about this mumbo, then let's hear it!

Thanks.
Andrew.

PS. Quartics are slow to render...

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------------------------------

Date: Thu, 28 Jun 2001 13:50:36 -0500
From: "Paul N. Lee" <[e-mail]>
Subject: Re: (fractint) need some assistance... third attempt to post

[e-mail] wrote:
>
> "nltnme" wrote:
> >
> > I would like to set up the printer to
> > print a ps file... i believe I did it
> > once in an older version of fractint,
> > running on a DOS machine.
>
> What is a ps file??  If you want to print a fractal
> generated by fractint, save it as a gif and use a
> 3rd party Windows program.
>

The "PS" refers to PostScript.

Nick and "O Bd" have given you some very useful information to get you
started.  Another item is the FractInt Documentation, which may be
created by running the following from the command line:

     Fractint.exe makedoc

The FractInt Documentation has several references within the 226 pages
concerning PostScript printers.  In fact, under Section 5, sub-section
15, it discusses "PostScript Parameters".  The problems you may
encounter is that a lot of the printer support within FractInt has not
been kept up-to-date.

Sincerely,
P.N.L.
- --------------------------------------------------------------
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------------------------------

Date: Thu, 28 Jun 2001 14:03:43 -0500
From: "Paul N. Lee" <[e-mail]>
Subject: Re: (fractint) need some assistance... third attempt to post

nltnme wrote:
>
> I would like to set up the printer to
> print a ps file... i believe I did it
> once in an older version of fractint,
> running on a DOS machine.

What is the printer brand and model??
What version of FractInt are you running??

Have you considered running another Windows OS besides ME??    ;-}

>
> There is a formula I use at work...
> I would like to ..... see what kind of
> factal the results would generate.

Post the formula here so that others may be able to assist you with
possible solutions.

Sincerely,
P.N.L.
- --------------------------------------------------------------
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------------------------------

Date: Thu, 28 Jun 2001 15:09:03 -0400
From: [e-mail]
Subject: Re: (fractint) need some assistance... third attempt to post

I wrote:

>> What is a ps file??  If you want to print a fractal
>> generated by fractint, save it as a gif and use a
>> 3rd party Windows program.

Paul N. Lee wrote:

>The "PS" refers to PostScript.

Good grief! I thought he might have meant PostScript, but I had no idea fractint
supported PostScript printing. I guess I should read the docs myself. Anyway,
nltnme, if you would tell us exactly what you are trying to do perhaps we could
be more helpful. Does it have to be PostScript?

Nick



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------------------------------

Date: Thu, 28 Jun 2001 14:57:18 -0500
From: "Paul N. Lee" <[e-mail]>
Subject: Re: (fractint) C-FOTD 21-06-01 (Fractal Caterpillars [6])

Pedro Lopes wrote:
>
> I would recommend staying well away from
> Pentium 4, unless you really don't care
> about how much you spend.  Among these I
> would go for the AMD Athlon.

Strong competition between AMD and Intel has pushed processor prices to
surprisingly low levels in recent months, especially for the faster
high-end CPUs.  Prices on the Pentium 4 and III recently dropped
dramatically while AMD's high-end chips continue a slower decline and
will likely drop more with the release of their new 1.4 GHz chip.  Here
are some of the best price cuts early this month on high-end processors:

   Intel Pentium 4, 1.7 GHz                    -- $49 Drop to $386
   Intel Pentium 4, 1.5 GHz                    -- $40 Drop to $266 (OEM)
   Intel Pentium 3, 1 GHz FC-PGA 133 MHz FSB   -- $36 Drop to $194
   Intel Pentium 3, 600 MHz FC-PGA 100 MHz FSB -- $10 Drop to $99
   AMD Athlon 1.33 GHz, 266 MHz FSB            -- $10 Drop to $190 (OEM)
   AMD Athlon 1.0 GHz 266 MHz FSB              -- $16 Drop to $134
   AMD Athlon 1.2 GHz 200 MHz FSB              -- $10 Drop to $156 (OEM)

And the continuing saga of the PC price wars is making it easy for one
to purchase a dependable PC without spending more than a $1,000.  Many
of the major PC makers now offer good systems in this lower price range
with decent warranties and technical support.  Here is what could be
found two weeks ago (the specs are for the lowest priced model listed):

   Compaq iPAQ Desktop with Legacy Ports Celeron 700 MHz
   --64MB, 10GB hard drive
   --Lowest price is $586

   HP Pavilion 8860 1 GHz
   --128MB, 60GB hard drive, CD-RW, DVD-ROM
   --Lowest price is $899

   Dell Dimension 4100 Pentium III 1 GHz
   --128MB, 17 inch monitor, 20GB hard drive, CD-RW or DVD-ROM
   --Lowest price is $949

   Cyberpower AMD Athlon Special CPU 800 MHz
   --256MB, 17 inch monitor, 40GB hard drive, CD-ROM
   --Lowest price is $978

   --ABS AMD Web Special Athlon 900 MHz
   --128 MB, 17 inch monitor, 30GB hard drive, DVD-ROM
   --Lowest price is $979

Sincerely,
P.N.L.
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------------------------------

Date: Thu, 28 Jun 2001 16:06:35 -0400
From: "Doug Stewart" <[e-mail]>
Subject: Re: (fractint) Fractal God

You probably know this but I will state it anyway.
When you iterate a formula (poly nomial) you end up with a higher order
poly.
If you iterate a quadratic 100 times then you end up with a 200dth order
poly and
the roots of this poly are found in the bays (basins of attractions).
The more times you iterate it the more bays you make. So the S T U of your
eq. only define 3 roots (main roots?) and each time it is iterated you get 3
more roots.

The minibrots are formed at these extra roots.

If this is worth while I can go on on.....

Doug Stewart


- ----- Original Message -----
From: "Andrew Coppin" <[e-mail]>
To: <[e-mail]>
Sent: Thursday, June 28, 2001 12:55 PM
Subject: (fractint) Fractal God


> The immortal book "The Beauty of Fractals" rants on at length about
> "critical points". IIRC, a critical point is a solution to the derrivative
> of the formula drawing the fractal, and further, I believe it says
somewhere
> that every basin of attraction must contain at least one critical point.
(I
> think there was some restriction on the kind of formula for which this is
> true...)
>
> Clearly critical points are important. So I decided to create a formula
> where *I* control the critical points.
>
> I began with
>   (Z-S)(Z-T)(Z-U)=0,
> who's solutions (I hope) are S, T and U. If you open the brackets, I think
> you get
>   Z^3 + (S+T+U)Z^2 + (ST+TU+SU)Z + (STU) = 0.
> If my sister's integral calculus is correct, then the integral of the
above
> is
>   (1/4)Z^4 + ((S+T+U)/3)Z^3 + ((ST+TU+SU)/2)Z^2 + (STU)Z + C.
> In other words, this formula creates a fractal with critical points S, T
and
> U.
>
> The results of this experiment were interesting. (I shall have to download
> that developer patch that gives you extra FRM paramerets though!) By
> choosing the right figures (S=1, T=-1, U=i or something I think it was) I
> can get a quadratic Julia surrounded by mini Julias (of the same type).
It's
> difficult to controll though...
>
> Does any one here know the conditions required for a minibrot to form? I
> know it has something to do with critical points, but can't remember the
> details...
>
> If anyone has anything else to say about this mumbo, then let's hear it!
>
> Thanks.
> Andrew.
>
> PS. Quartics are slow to render...
>
> _________________________________________________________________________
> Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com.
>
>
> --------------------------------------------------------------
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> Post Message:   [e-mail]
> Get Commands:   [e-mail] "help"
> Administrator:  [e-mail]
> Unsubscribe:    [e-mail] "unsubscribe fractint"


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------------------------------

Date: Thu, 28 Jun 2001 15:11:09 -0700
From: Kathy Roth <[e-mail]>
Subject: Re: (fractint) Fractal God

Hi
Do go on with this-
Kathy

Doug Stewart wrote:
>
> You probably know this but I will state it anyway.
> When you iterate a formula (poly nomial) you end up with a higher order
> poly.
> If you iterate a quadratic 100 times then you end up with a 200dth order
> p

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------------------------------

Date: Thu, 28 Jun 2001 20:42:56 -0500
From: "nltnme" <[e-mail]>
Subject: (fractint) need assistance part 2

This is a multi-part message in MIME format.

- ------=_NextPart_000_0017_01C10012.E9033F40
Content-Type: text/plain;
    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

Ok... I guess I need to go a little slower.

The documentation states the following:
"5.14 Printer Parameters

PRINTER=3Dtype[/resolution[/port#]]

Defines your printer setup. The SSTOOLS.INI file... "

NOW....

years ago, I had a programmer person who understood some things assist =
me in setting up the "sstools.ini" file.

I downloaded the most recent version of Fractint 20 for dos and =
installed on my me computer with WindowsME.  If I recall, when I had a =
purely DOS machine, the SSTOOLS.INI file was located in the same =
directory (maybe the root) as the command.com and autoexec.bat files.

I don't know where to create, find, or edit the SSTOOLS.INI file.

example of what I would do if I knew where:

PRINTER =3D PS/600/0

TYPE  would be PS

/600 would be resolution

/0 would equal "to file"

is that right?

Second, as I recall, I was able to set the PS printer parameters to =
print to ".ps" file, and not a "printer" specifically... this allowed me =
to send the ".ps" file to any ps printer and/or open the file as an eps =
as in PhotoShop.  In anycase.. .I was able to achieve a 300 dpi full =
color ps printout or the fractals... but that was like 7 years ago, and =
I've had lots of changes in my life... (without going into that... it's =
hard to believe that 8 years ago, I was exploring Fractint on a 25Mhz =
PC:)))) now I have a 733 celceron..

Anyway...=20

second, is there a way to generate bands of color ranging from the =
"shore" of the mandelbrot to the center of the lake... NOT inside =
color.... but FILLED WITH COLORS... plural?

THANKS ALL... It's been "enlighting!"

nltnme


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    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META http-equiv=3DContent-Type content=3D"text/html; =
charset=3Diso-8859-1">
<META content=3D"MSHTML 5.50.4207.2601" name=3DGENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT face=3DArial size=3D2>Ok... I guess I need to go a little=20
slower.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>The documentation states the=20
following:</FONT></DIV>
<DIV>
<DIV>
<DIV>
<P><FONT face=3DArial size=3D2>"5.14 Printer Parameters</FONT></P>
<P><FONT face=3DArial =
size=3D2>PRINTER=3Dtype[/resolution[/port#]]</FONT></P>
<P><FONT face=3DArial size=3D2>Defines your printer setup. The =
SSTOOLS.INI file...=20
"</FONT></P>
<P><FONT face=3DArial size=3D2>NOW....</FONT></P>
<P><FONT face=3DArial size=3D2>years ago, I had a programmer person who =
understood=20
some things assist me in setting up the "sstools.ini" file.</FONT></P>
<P><FONT face=3DArial size=3D2>I downloaded the most recent version of =
Fractint 20=20
for dos and installed on my me computer with WindowsME.  If I =
recall, when=20
I had a purely DOS machine, the SSTOOLS.INI file was located in the same =

directory (maybe the root) as the command.com and autoexec.bat =
files.</FONT></P>
<P><FONT face=3DArial size=3D2>I don't know where to create, find, or =
edit the=20
SSTOOLS.INI file.</FONT></P>
<P><FONT face=3DArial size=3D2>example of what I would do if I knew=20
where:</FONT></P>
<P><FONT face=3DArial size=3D2>PRINTER =3D PS/600/0</FONT></P>
<P><FONT face=3DArial size=3D2>TYPE  would be PS</FONT></P>
<P><FONT face=3DArial size=3D2>/600 would be resolution</FONT></P>
<P><FONT face=3DArial size=3D2>/0 would equal "to file"</FONT></P>
<P><FONT face=3DArial size=3D2>is that right?</FONT></P>
<P><FONT face=3DArial size=3D2>Second, as I recall, I was able to set =
the PS printer=20
parameters to print to ".ps" file, and not a "printer" specifically... =
this=20
allowed me to send the ".ps" file to any ps printer and/or open the file =
as an=20
eps as in PhotoShop.  In anycase.. .I was able to achieve a 300 dpi =
full=20
color ps printout or the fractals... but that was like 7 years ago, and =
I've had=20
lots of changes in my life... (without going into that... it's hard to =
believe=20
that 8 years ago, I was exploring Fractint on a 25Mhz PC:)))) now I have =
a 733=20
celceron..</FONT></P>
<P><FONT face=3DArial size=3D2>Anyway... </FONT></P>
<P><FONT face=3DArial size=3D2>second, is there a way to generate bands =
of color=20
ranging from the "shore" of the mandelbrot to the center of the lake... =
NOT=20
inside color.... but FILLED WITH COLORS... plural?</FONT></P>
<P><FONT face=3DArial size=3D2>THANKS ALL... It's been =
"enlighting!"</FONT></P>
<P><FONT face=3DArial =
size=3D2>nltnme</FONT></P></DIV></DIV></DIV></BODY></HTML>

- ------=_NextPart_000_0017_01C10012.E9033F40--


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Date: Thu, 28 Jun 2001 19:25:58 -0700
From: Thaddaeus Parker <[e-mail]>
Subject: RE: (fractint) need assistance part 2

>I don't know where to create, find, or edit the SSTOOLS.INI file.
>example of what I would do if I knew where:
>
I think that was question asked not too long ago, concerning the sstools.ini
file.   There is a portion of the fractint documentation that deals with
creating and setting up an sstools.ini file.
I have a template that George martin made back in 1999. Here is a snippet to
give you an idea of what to do:  Make sure that you go to the docs to find
exactly what everything does and where it goes.
- --sstools.ini--
[Fractint]
parmfile=c:\fractint\parfiles
filename=c:\fractint\pics
map=c:\fractint\maps
.
.
.
video=sf7
comment=t=$calctime$

thanks to George for giving this out earlier.

Thaddaeus Parker
San Diego CA
ICQ# 3304633



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------------------------------

Date: Thu, 28 Jun 2001 23:09:47 -0400
From: "Doug Stewart" <[e-mail]>
Subject: Re: (fractint) Fractal  math

To expand on my first message I will do a short example.

z1=z0^2+c

z2=z1^2+c but  z1=z0^2+c
so
z2=(z0^2+c)^2+c
now remove the brackets
z2=z0^4+2*c*z0^2+c^2 +c

and
z3=z2^2+c but z2=z0^4+2*c*z0^2+c^2 +c
and if you do the math you will get a z0^8 term etc

This shows that iterating a poly produces a higher order poly.

If you start with z0=0 you get:
z1=c
z2=z1^2+c  =c^2+c
z3=z2^2+c=  (c^2+c)+c  = c^4 + 2*c*c^2+c^2+c = c^4+2*c^3+c^2+c
etc.
Now we can ask, "what values of c will give z3=0 =z0", these values of c are
the
roots of
c^4+2*c^3+c^2+c=0

If you ask this after each iteration you will get a set of numbers that when
they are plotted on the mandelbrot picture they will be found in each "bay".
Obviously after an infinite number of iterations you will have an infinite
number of roots and an infinite number of bays.

I hope that this is clearer than mud :-).
Doug Stewart




- ----- Original Message -----
From: "Kathy Roth" <[e-mail]>
To: <[e-mail]>
Sent: Thursday, June 28, 2001 6:11 PM
Subject: Re: (fractint) Fractal God


> Hi
> Do go on with this-
> Kathy
>
> Doug Stewart wrote:
> >
> > You probably know this but I will state it anyway.
> > When you iterate a formula (poly nomial) you end up with a higher order
> > poly.
> > If you iterate a quadratic 100 times then you end up with a 200dth order
> > p
>
> --------------------------------------------------------------
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>


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------------------------------

Date: Fri, 29 Jun 2001 21:41:56 +1200
From: "Morgan L. Owens" <[e-mail]>
Subject: (fractint) Re: [philofractal] C-FOTD  28-06-01  (Fringed Minibrot [8])

At 01:25 29/06/2001, Jim Muth wrote:

>I consider myself a fractal purist -- that is I see fractals as
>the same things they were considered to be when they were
>originally discovered.  I do not see fractals as a means of
>expressing one's latent artistic talent.  There are countless
>other ways to do this.
>
>When they were discovered 20 or so years ago,

...closer to 120 years ago - 20 years ago computing technology caught up
with the maths.

Morgan L. Owens
"So now they _can_ be rendered."


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Date: Fri, 29 Jun 2001 06:07:38 -0400
From: "Doug Stewart" <[e-mail]>
Subject: Re: (fractint) Re: [philofractal] C-FOTD  28-06-01  (Fringed Minibrot [8])

- ----- Original Message -----
From: "Morgan L. Owens" <[e-mail]>
To: <[e-mail]>; <[e-mail]>
Cc: <[e-mail]>
Sent: Friday, June 29, 2001 5:41 AM
Subject: (fractint) Re: [philofractal] C-FOTD 28-06-01 (Fringed Minibrot
[8])


> At 01:25 29/06/2001, Jim Muth wrote:
>
> >I consider myself a fractal purist -- that is I see fractals as
> >the same things they were considered to be when they were
> >originally discovered.  I do not see fractals as a means of
> >expressing one's latent artistic talent.  There are countless
> >other ways to do this.
> >
> >When they were discovered 20 or so years ago,
>
> ...closer to 120 years ago - 20 years ago computing technology caught up
> with the maths.
>
> Morgan L. Owens
> "So now they _can_ be rendered."

Truly the math has been known for a long time, but it was the ability to
"render" the math, that has accelerated out understanding of chaos and
fractals. If the computer could only show us lists of numbers, would we be
as far as we are now?
Though for tomorrow:
How else should we present the information so that we can understand math
more?

Doug Stewart




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------------------------------

Date: Fri, 29 Jun 2001 09:50:14 -0400
From: Jim Shaffer Jr. <[e-mail]>
Subject: Re: (fractint) need assistance part 2

On Thursday 28 June 2001 21:42, nltnme wrote:

> I don't know where to create, find, or edit the SSTOOLS.INI file.

Mine is in C:\Windows, and it seems to work.  I think you can also have it in
your Fractint directory, or maybe in the root directory.  But why the
problem?  Just try it and if it doesn't work, move it somewhere else.


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Date: Fri, 29 Jun 2001 09:15:34 -0500
From: Programmer Dude <[e-mail]>
Subject: Re: (fractint) Re: [philofractal] C-FOTD  28-06-01  (Fringed Minibrot  [8])

Doug Stewart wrote:

> How else should we present the information so that we can understand
> math more?

Intravenously?  FPU implants?...   ;-|

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