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fractint-digest       Wednesday, March 18 1998       Volume 01 : Number 137




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

Date: Tue, 17 Mar 1998 14:40:53 PST
From: NOEL_GIFFIN <[e-mail]>
Subject: Re: (fractint) FRACTINT.ORG

 [e-mail] (Kragen) wrote:

>On Mon, 16 Mar 1998, NOEL_GIFFIN wrote:
>> If we want to register fractint.org then pay the $100.00 dollars
>> trying to register with a service in another country. They are
>> fine if you are only interested in local/domestic service in that
>> country but none of the international traffic will be able to find
>> the site because none of the big DNS databases will pick it up.

>This is not correct.  I frequently access sites registered in .de, .fr,
>.ca, and .jp, even though I'm in the US.  I can even send mail to
>walsh.tj, which is registered in the Tajikistan domain -- although it's
>actually located in Fresno, California.

    This could indeed be incorrect. I have only limited and
out-of-date experience with this. I know when I was setting up a friends
business webpage here in Canada about a year ago, I was told that while
it was cheaper to register in this country, it would take a lot longer
for the registered name to propogate outside the country and it
might not be as widely recognized than a US registered site. That was
with the ".com" domain. I understand that using the country domains
like ".ca", ".fr" etc, would allow nameservers to follow paths to
designated nameservers for each country or region, but we were talking
about using ".com" or ".org" and I wasn't sure how these get shared
if they are registered in a country other than the U.S.

    Cheers,
    Noel

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Date: Tue, 17 Mar 1998 14:37:01 +0000
From: [e-mail]
Subject: (fractint) Trying Something Biological

Hi to everybody !

Since to release of the fractint version 18.x (don't remember exact
which one) I have always enjoyed to look at those great pictures.
As the times passed by and with the growth of my theoretical
knowledge of the theory of fractals an idea aroused in my mind. I
tried to understand the mathematics behind all those beautiful
pictures but soon I saw that my mathematical borders were reached.
And at this point I will piont out my idea: I'm studing biology at
germany and imaging that one day every biologist will use the
mathematics as a tool for their interpretations. So what I wanted to
do is to build a formula that represents a biological process, say
somethink like a real prey-predator model, and calculate it in the
complexe plane. Is there anybody who is interested in this idea and
willing to help me ?

Bye, Mike

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Date: Tue, 17 Mar 1998 18:19:40 -0800 (PST)
From: "James R. McKenzie" <[e-mail]>
Subject: Re: (fractint) More pars and maps

- ---Lavondyss <[e-mail]> wrote:
>
> There is a zipped file at my site that contains all the color maps
I've
> collected. It may not be as big as some people's, but it has some
really nice
> ones. Scroll down to about 2/3 of the way. I did post some
thumbnails, so be
> patient while it loads.
>
> Happy fractaling
> -Lav
>


What's the URL?


James R. McKenzie
_________________________________________________________
DO YOU YAHOO!?
Get your free @yahoo.com address at http://mail.yahoo.com


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Date: Tue, 17 Mar 1998 20:48:00 -0600
From: Lavondyss <[e-mail]>
Subject: Re: (fractint) More pars and maps

James R. McKenzie wrote:

> ---Lavondyss <[e-mail]> wrote:
> >
> > There is a zipped file at my site that contains all the color maps
> I've
> > collected. It may not be as big as some people's, but it has some
> really nice
> > ones. Scroll down to about 2/3 of the way. I did post some
> thumbnails, so be
> > patient while it loads.
> >
> > Happy fractaling
> > -Lav
> >
>
>
> What's the URL?

Whoops...did I forget....DUH!!

http://www.tc.umn.edu/~nguy0505/Fractals.htm

Sorry for the mistake......


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

Date: Tue, 17 Mar 1998 21:29:09 -0600 (CST)
From: [e-mail] (Paul and/or Joyce Carlson)
Subject: (fractint) Hypocycloid formula and pars

This formula makes use of a hypocycloid curve.  The images are
kind of interesting.

Paul Carlson

frm:HyCycl_Julia {; Copyright (c) Paul W. Carlson, 1998
    z = w = iter = range_num = bailout = 0
    w = pixel
    c = p1
    i = (0,1)
    k = 1.2 - p3
    :
    w = w * w, wr = real(w)
    w = w - wr + abs(wr) - c
    angle = atan(imag(w)/wr)
    ka = k * angle / p3
    rw = k * cos(angle) + p3 * cos(ka)
    iw = k * sin(angle) + p3 * sin(ka)
    ww = rw + i * iw
    dist = abs(|w|-|ww|)
    IF (dist < p2 && iter > 1)
    bailout = 1
    index = 125 * dist / p2
    z = index + range_num * 125 + 1
    ENDIF
    iter = iter + 1
    range_num = range_num + 1
    IF (range_num == 2)
    range_num = 0
    ENDIF
    z = z - iter
    bailout == 0 && |w| < 10000
}

hcjul01            {; Copyright (c) Paul W. Carlson, 1998
  reset=1960 type=formula formulafile=hcycjul.par
  formulaname=HyCycl_Julia passes=t
  center-mag=2.22045e-016/1.94289e-016/0.7891157/1/-44.998
  params=0.782397227416/0.156915323723/0.6/0/0.4/0
  float=y maxiter=252 inside=253 outside=summ
  colors=000zz0<123>aG00W2<123>080000<3>000
  }

hcjul02            {; Copyright (c) Paul W. Carlson, 1998
  reset=1960 type=formula formulafile=hcycjul.par
  formulaname=HyCycl_Julia passes=t
  center-mag=4.44089e-016/4.71845e-016/0.6360545/1/-44.999
  params=1.435954558/0/0.6/0/0.4/0
  float=y maxiter=252 inside=253 outside=summ
  colors=000zVz<123>G0GVzz<123>0GG000<3>000
  }

hcjul03            {; Copyright (c) Paul W. Carlson, 1998
  reset=1960 type=formula formulafile=hcycjul.par
  formulaname=HyCycl_Julia passes=t
  center-mag=2.22045e-016/3.60822e-016/0.7038912/1/-44.999
  params=1.5/0.3/1.5/0/0.4/0
  float=y maxiter=252 inside=253 outside=summ
  colors=EHPMov<58>FIQEHPC02<63>sF_sF_rFZ<57>C02EHP<62>Mov0\
  00<3>000
  }

hcjul04            {; Copyright (c) Paul W. Carlson, 1998
  reset=1960 type=formula formulafile=hcycjul.par
  formulaname=HyCycl_Julia passes=t
  center-mag=2.22045e-016/1.94289e-016/0.7891157/1/-44.998
  params=0.9300130210000001/0.257161458/0.3/0/0.4/0
  float=y maxiter=252 inside=253 outside=summ
  colors=000zz0<123>aG0fOz<123>I0K000<3>000
  }

hcjul05            {; Copyright (c) Paul W. Carlson, 1998
  reset=1960 type=formula formulafile=hcycjul.par
  formulaname=HyCycl_Julia passes=t
  center-mag=-2.22045e-016/-1.94289e-016/0.8912656/1/-44.999
  params=0.951171875/0.537109375/0.3/0/0.4/0
  float=y maxiter=252 inside=253 outside=summ
  colors=000zVz<123>G0GVzz<123>0GG000<3>000
  }


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

Date: Tue, 17 Mar 1998 20:27:21 -0800
From: Wizzle <[e-mail]>
Subject: Re: (fractint) Colormap Questions

I was thinking more or less the end of April as the close date for
submittals. But since this is not a contest or anything, I'm flexible.

>
>Wizzle, I'm up to my eyeballs in starry, celestial fractals for another
couple
>of weeks. When is the color map deadine? I'll see what I can do, but I won't
>make any promises.
>
>1997 G. F. C. w. & Q.
>(aka Janet)
>
>

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

Date: Tue, 17 Mar 1998 20:28:37 -0800
From: Wizzle <[e-mail]>
Subject: Re: (fractint) FRACTINT.ORG

Yipes....I saw my name.  What do I have to do??

At 12:51 AM 3/17/98 -0500, you wrote:
>
>There's Wizzle's simplenet isn't there? No space limit, no HTL, flat rate.
>


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

Date: Tue, 17 Mar 1998 22:36:29 -0600 (CST)
From: Michael Oltmans <[e-mail]>
Subject: (fractint) Script for pars in xfractint

If anybody else out there uses xfractint I wrote a handy little shell
script to scan through a par file and generate a gif image for each
parameter set.

I have found it very handy for going through large par files and for
many of the posts on this list.  Just start it running and come back in a
little while to view the collection of images.

One warning, this is an ugly script and I'm sure that there are better
ways to do it, but it does work.  First it creates a temporary script and
puts a bunch of calls to xfractint into it.  Then it runs the script that
it generated and saves all of the images into files.

I called it pargen so to use it:

> pargen parfile.par image-prefix

The image prefix will be appended with 001 so that the image indexing
works correctly.  Remember to keep the prefix short to avoid problems with
long file names.

- --------------------------------------------------------------------------
#!/bin/csh -f

echo "#\!/bin/csh -f" > temp-image-script
chmod 755 temp-image-script

grep '{' $1 | \
awk '{print "xfractint @'$1'/" $1 " batch=y savename='$2'001 -disk"}' \
>> temp-image-script

temp-image-script

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

Have fun,
Mike


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

Date: Wed, 18 Mar 1998 18:15:41 +1200
From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) Re: SSTOOLS

At 23:45 16/03/98 -0700, Ray Montgomery wrote:
>Got out my idle
>'Dummies' (oh, lord, I said it, right out loud!  Forgive me please!) Dos,
>Windows, PC, manuals, for keyboards, monitors, cups (even CPUs) and just
>about everything I can lay my hands on.
>
Hey, don't knock the 'Dummies' :-) Okay, the cutesy writing of some of them
is cringing, but they're better than many! (Including just about everything
from Microsoft Press.)
Oh, did "Gardening for Dummies" help? :-D

>  Even brought home a book from the
>library thinking it would help but it turned out to be a book on how to
>program for Windows.(Ugh!)
(Cold sweats! Heart palpitations! Requests for mothers!) I'm going to have
nightmares tonight, thanks to you :-)

Morgan L. Owens



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Date: Wed, 18 Mar 1998 18:15:41 +1200
From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) Re: SSTOOLS

At 23:45 16/03/98 -0700, Ray Montgomery wrote:
>Got out my idle
>'Dummies' (oh, lord, I said it, right out loud!  Forgive me please!) Dos,
>Windows, PC, manuals, for keyboards, monitors, cups (even CPUs) and just
>about everything I can lay my hands on.
>
Hey, don't knock the 'Dummies' :-) Okay, the cutesy writing of some of them
is cringing, but they're better than many! (Including just about everything
from Microsoft Press.)
Oh, did "Gardening for Dummies" help? :-D

>  Even brought home a book from the
>library thinking it would help but it turned out to be a book on how to
>program for Windows.(Ugh!)
(Cold sweats! Heart palpitations! Requests for mothers!) I'm going to have
nightmares tonight, thanks to you :-)

Morgan L. Owens



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

Date: Tue, 17 Mar 1998 23:42:11 -0700
From: Ray Montgomery <[e-mail]>
Subject: (fractint) "Dummies"

        Knock "Dummies?!!"  Me!!!???.   Never.  I'm one of 'em!
        Hi, Morgan! I lock myself in the closet, use a flashlight and read
till the batteries wear out.  Just kidding.  I do go downstairs, though.
I've been known to carry a PC 'Dummies', quite openly down the street.
        I DO learn a lot from them.  I hope to catch up with all you guys,
by the year 2020.  I'll have deciphered the 'code' by then.
                                Cheers,
                                                Ray


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Date: Wed, 18 Mar 1998 01:40:22 -0600
From: Lavondyss <[e-mail]>
Subject: (fractint) Fractal Lake

Just a note to try out the new fractal lake. Please point your browser
here:

http://www.tc.umn.edu/~nguy0505/Lakes/Lakes.htm

While you're there, check out the other lakes. What's cool is that the
water actaully moves.

Thanx for trying them
- -Lav



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Date: Wed, 18 Mar 1998 03:59:07 -0600
From: "Paul N. Lee" <[e-mail]>
Subject: Re: (fractint) Fractal Lake

Lavondyss wrote:
>
> Just a note to try out the new fractal lake.
> Please point your browser here:
>    http://www.tc.umn.edu/~nguy0505/Lakes/Lakes.htm
>

Enjoyed Lake #2 the best, but couldn't get #4 and #6 to work.

- -------------------------------------------------
     Why do most folks hate cynics so much?
       Because we're almost always right.
- -------------------------------------------------
http://home.att.net/~Paul.N.Lee/PNL_Fractals.html

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

Date: Wed, 18 Mar 1998 06:40:18 -0500
From: Sylvie Gallet <[e-mail]>
Subject: (fractint) Trying Something Biological

Hi Mike,

>> So what I wanted to do is to build a formula that represents a
>> biological process, say somethink like a real prey-predator model,
>> and calculate it in the complexe plane. Is there anybody who is
>> interested in this idea and  willing to help me ?

  This has already be done in Fractint: check out type=3DVolterra-Lotka.

  Cheers,

        - Sylvie

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

Date: Wed, 18 Mar 1998 09:13:14 -0700
From: Ray Montgomery <[e-mail]>
Subject: (fractint) Lav. - Lakes

        Lav....Hi!
                Went to have a look at your lakes but I was denied access.
And, a strange thing happened, - I can't remember the exact words but a
large, imposing drop-down box took over the whole screen, looking as though
it were from some out-in-space official dept., saying in effect, can't get
in folks - and even stranger, on the address line, the one that ends with
'htm' - the htm had changed from htm to Java.  I know for a fact that I
typed htm and nothing at all, whatsoever about Java.  I changed the Java
back to htm, went back in and the 2nd time, got no drop-down box as before,
but just could not bring anything up.  You have a nice looking page, I
commend on that, but no matter where or how I clicked no image would appear.
Just black.
        Well, I tried.  Sorry I missed it.
                                        Ray Montgomery


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Date: Wed, 18 Mar 1998 08:53:00 -0800
From: Wizzle <[e-mail]>
Subject: Re: (fractint) Trying Something Biological

Love that Volterra-Lotka. Here is a par with a new color map. Instead of
the usual black, the map has a lot of deepest blue for the "sky."

thermodynamics     { ; wizzle 3/10/98 w. galaxy1.map
                     ; volterra_lotka standard fractint formula
                     ;
                     ; parameters created on Apr 13, 1997
  reset=1960 type=volterra-lotka
  center-mag=+3.00000000000000000/+2.25000000000000000/0.3644444
  params=0.2/0.001 float=y maxiter=1000 bailout=1000 inside=maxiter
  logmap=4 periodicity=0
  colors=w11z00<10>K0A<6>N0S<4>00z<13>W0_Y0YY0Y<14>U3UU3UT3TS3S<14>00A<13>\
  J8KL9LN8N<12>k1km0mn2l<10>zRV<8>K0A<11>20u00z01v<5>69V7AQ6BO<3>2ID0KA0MC\
  <14>0zm<15>0AK<5>4AE5AE7AD<3>DAAFA9HCA<18>zza<10>00A<12>D67F76I76<12>t11
  cyclerange=0/255
  }


At 06:40 AM 3/18/98 -0500, you wrote:
>Hi Mike,
>
>>> So what I wanted to do is to build a formula that represents a
>>> biological process, say somethink like a real prey-predator model,
>>> and calculate it in the complexe plane. Is there anybody who is
>>> interested in this idea and  willing to help me ?
>
>  This has already be done in Fractint: check out type=Volterra-Lotka.
>
>  Cheers,
>
>        - Sylvie
>


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

Date: Wed, 18 Mar 1998 09:00:03 -0800
From: Wizzle <[e-mail]>
Subject: Re: (fractint) Fractal Lake

Lav...

Very cool!!! I had no trouble seeing any of the lakes and I think you did a
fantastic job. I am now running Netscape's Communicator 4.04 and maybe
that's why I did well.

What program did you use for the landscapes?

Angela

At 01:40 AM 3/18/98 -0600, you wrote:
>Just a note to try out the new fractal lake. Please point your browser
>here:
>
>http://www.tc.umn.edu/~nguy0505/Lakes/Lakes.htm
>
>While you're there, check out the other lakes. What's cool is that the
>water actaully moves.
>
>Thanx for trying them
>-Lav
>


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Date: Wed, 18 Mar 1998 11:32:58 -0600
From: "Damien M. Jones" <[e-mail]>
Subject: Re: (fractint) Fractal Lake

Lavondyss,

 - Just a note to try out the new fractal lake.

Cool lakes.  Ken Musgrave's "Other State", "Emil", "Zabriskie Point", and
"Parabolic Curves in the Plane of the Ecliptic" look great with moving lakes.

Damien M. Jones   \\
[e-mail]  \\  http://www.icd.com/tsd/ (temporary sanity designs)
                    \\  http://www.fractalus.com/ (fractals are my hobby)

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Date: Wed, 18 Mar 1998 11:33:33 -0600
From: Lavondyss <[e-mail]>
Subject: Re: (fractint) Fractal Lake

Ok here's the scoop on the lake.

I didn't make the java applet for the rippling effect. They were made by David
Griffith. It was a spare of the moment thing late last night.....1-2 am!!!! I
didn't get to finish it all, but thought you guys might like to see it. I
touched them up some more, so all the info ( I think that's all of it) should
be posted now. Go to:

http://www.tc.umn.edu/~nguy0505/Lakes/Lakes.htm

Ray, I'm sorry you couldn't see it. It's really something. Perhaps you should
get Netscape Communicator 4.0 or later and setup it up to your preferences and
go try it.

Have fun!

- -Lav




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Date: Wed, 18 Mar 1998 11:36:57 -0600
From: Lavondyss <[e-mail]>
Subject: Re: (fractint) Trying Something Biological

Wizzle, or Angela

I lost your homepage addy. Please send it to me again. Thanx. I want to get
those maps and pars and frm!!!.....^_^

- -Lav


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Date: Wed, 18 Mar 1998 11:37:36 -0600
From: Lavondyss <[e-mail]>
Subject: Re: (fractint) Trying Something Biological

wait...isn't it posted at Noel's page?

I'll look...thanx anyways.


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Date: Wed, 18 Mar 1998 15:38:52 -0500
From: "Peter Gavin" <[e-mail]>
Subject: Re: (fractint) "Dummies"

Hopefully we wont all be meteor-dust by then, though! :)

|        I DO learn a lot from them.  I hope to catch up with all you guys,
|by the year 2020.  I'll have deciphered the 'code' by then.
|                                Cheers,
|                                                Ray



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Date: Wed, 18 Mar 1998 15:26:09 -0600 (CST)
From: [e-mail] (Paul and/or Joyce Carlson)
Subject: (fractint) Celtic formula and pars

I call this formula my Celtic formula because about a year
ago I posted the image produced by the first par to the
abpf newsgroup and Noel Giffin wrote to me saying he really
liked it because it reminded him of some kind of Celtic
symbol (I don't remember what).  Anyhow, I was able to
recreate the image in Fractint and here it is.  I also added a
second par that produces another image with a Celtic look to it.

Paul Carlson

frm:Celtic_Julia {; Copyright (c) Paul W. Carlson, 1998
    ;****************************************************
    ; Always use floating point math and outside=summ.
    ;
    ; Parameters:
    ;   p1       = Julia set coordinates
    ;   real(p2) = a factor controlling the width of the stalks
    ;   imag(p2) = maximum iterations for stalks
    ;   real(p3) = number of color ranges
    ;   imag(p3) = number of colors in a color range
    ;****************************************************
    w = pixel
    c = p1
    z = 0
    bailout = 0
    iter = 0
    range_num = 0
    stalk_width = real(p2)
    max_iter = imag(p2)
    num_ranges = real(p3)
    colors_in_range = imag(p3)
    ratio = (colors_in_range - 1) / stalk_width:
    ;
    w = w * w, wr = real(w)
    w = w - wr + abs(wr) - c
    ;
    IF (abs(real(w)) <= abs(imag(w)))
        min_dist_to_axis = abs(real(w))
    ELSE
        min_dist_to_axis = abs(imag(w))
    ENDIF
    IF (min_dist_to_axis < stalk_width && iter > 1 && iter <= max_iter)
    z = ratio * min_dist_to_axis + range_num * colors_in_range + 1
    bailout = 1
    ENDIF
    range_num = range_num + 1
    IF (range_num == num_ranges)
        range_num = 0
    ENDIF
    iter = iter + 1
    z = z - iter
    bailout == 0  && |w| < 4
}

celtic01           {; Copyright (c) Paul W. Carlson, 1998
  reset=1960 type=formula formulafile=celticj.par
  formulaname=Celtic_Julia passes=1
  corners=-0.93159769/0.097949795/0.49036305/0.34328484/-0.4\
  9036305/-0.097949795
  params=0.690498547/0.192997741/0.1/14/2/125
  float=y maxiter=252 inside=253 outside=summ
  colors=000z88<123>O00Vzz<123>0GG000<3>000
  }

celtic02           {; Copyright (c) Paul W. Carlson, 1998
  reset=1960 type=formula formulafile=celticj.par
  formulaname=Celtic_Julia passes=1
  center-mag=-0.3626/0.362352/4.413821/1/-45
  params=0.702895/0.382894/0.1/11/2/125
  float=y maxiter=252 inside=253 outside=summ
  colors=000z88<123>O00Vzz<123>0GG000<3>000
  }


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Date: Wed, 18 Mar 1998 15:45:23 -0600 (CST)
From: [e-mail] (Paul and/or Joyce Carlson)
Subject: (fractint) Strange Newton-like formulas

I originally programmed these equationss a long time ago
and, quite frankly, they dont make a whole of sense to
me now.  It looks like I started with a Newton equation
and then added a little bit of random formulizationizating.
However, after translating them into Fractint formulas
they still make some very nice images and the formulas
are fun to experiment with.

Paul Carlson

frm:Newt_Fnc_Mset {; Copyright (c) Paul W. Carlson, 1998
    ; real(p1) = controls element size
    ; imag(p1)   not used
    ; real(p2) = number of color ranges
    ; imag(p2) = number of colors in a range
    ;
    width = real(p1)
    a = fn1(pixel)
    am = a - 1
    w = sqrt(-am / 6)
    z = iter = range_num = bailout = 0
    num_ranges = real(p2)
    colors_in_range = imag(p2)
    colors_in_range_1 = colors_in_range - 1
    :
    k = w * w, q = w * am
    w = w - (k * k + k * am - a) / (4 * w * k + q + q)
    dist = abs(|w| - 0.5)
    IF (dist < width && iter > 0)
        bailout = 1
        index = colors_in_range_1 * dist / width
        z = index + range_num * colors_in_range + 1
    ENDIF
    range_num = range_num + 1
    IF (range_num == num_ranges)
        range_num = 0
    ENDIF
    iter = iter + 1
    z = z - iter
    bailout == 0
}


frm:Newt_Fnc_Julia {; Copyright (c) Paul W. Carlson, 1998
    ; p1       = Julia set coordinates
    ; real(p2) = controls element size
    ; imag(p2)   not used
    ; p3       = relaxation factor
    ;
    width = real(p2)
    w = pixel
    a = fn1(p1)
    am = a - 1
    z = iter = range_num = bailout = 0
    num_ranges = 2
    colors_in_range = 125
    colors_in_range_1 = 124
    :
    k = w * w, q = w * am
    w = w - p3 * (k * k + k * am - a) / (4 * w * k + q + q)
    dist = abs(|w| - 0.5)
    IF (dist < width && iter > 0)
        bailout = 1
        index = colors_in_range_1 * dist / width
        z = index + range_num * colors_in_range + 1
    ENDIF
    range_num = range_num + 1
    IF (range_num == num_ranges)
        range_num = 0
    ENDIF
    iter = iter + 1
    z = z - iter
    bailout == 0
}

nwtfnm01           {; Copyright (c) Paul W. Carlson, 1998
  reset=1960 type=formula formulafile=nwtf.par
  formulaname=Newt_Fnc_Mset function=sinh passes=t
  corners=4.779599355574/4.779590894347/-5.64081811186e-00\
  6/5.64081811188e-006/4.779590894347/5.64081811188e-006
  params=0.3/0/2/125
  float=y maxiter=1000 inside=253 outside=summ
  colors=000zzz<123>UUUzVz<123>F0G000<3>000
  }

nwtfnm02           {; Copyright (c) Paul W. Carlson, 1998
  reset=1960 type=formula formulafile=nwtf.par
  formulaname=Newt_Fnc_Mset function=sinh passes=t
  center-mag=+0.04321463786930473/+0.0000000185278247\
  7/202577.7/1/-90
  params=0.25/0/2/125
  float=y maxiter=1000 inside=253 outside=summ
  colors=000zW0<123>d500zz<123>0CC000<3>000
  }

nwtfnj01           {; Copyright (c) Paul W. Carlson, 1998
  reset=1960 type=formula formulafile=nwtf.par
  formulaname=newt_fnc_julia function=recip passes=1
  center-mag=0/0/0.6666667
  params=1/0/0.5/0/1/0
  float=y maxiter=500 inside=253 outside=summ
  colors=000zVz<108>G0GG0GG0GG0GG0G<10>G0Gzz0<108>aG0\
  aG0aG0aG0aG0<10>aG0000000G0G000000
  }

nwtfnj02           {; Copyright (c) Paul W. Carlson, 1998
  reset=1960 type=formula formulafile=nwtf.par
  formulaname=newt_fnc_julia function=recip passes=1
  center-mag=0/2.22045e-016/0.6666667
  params=1/0/0.5/0/0.7/0.7
  float=y maxiter=500 inside=253 outside=summ
  colors=000zz0<123>aG00W2<123>080000<3>000
  }

nwtfnj03           {; Copyright (c) Paul W. Carlson, 1998
  reset=1960 type=formula formulafile=nwtf.par
  formulaname=newt_fnc_julia function=sqr passes=t
  center-mag=-1.11022e-015/7.77156e-016/1.253133
  params=1/0/0.2/0/1/0
  float=y maxiter=252 inside=253 outside=summ
  colors=000zz0<123>aG00W2<123>080000<3>000
  }

nwtfnj04           {; Copyright (c) Paul W. Carlson, 1998
  reset=1960 type=formula formulafile=nwtf.par
  formulaname=newt_fnc_julia function=tan passes=t
  center-mag=-2.22045e-015/0/0.5733682/1/90
  params=1/0/0.5/0/1/0
  float=y maxiter=500 inside=253 outside=summ invert=1/0/0
  colors=000sF_<123>C02Mov<123>HKS000000HKS000000
  }


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Date: Wed, 18 Mar 1998 17:21:59 -0500
From: "Jason Hine" <[e-mail]>
Subject: Re: (fractint) Re: A Geom Construction of the M-set

Kerry wrote:

>Jason,
>
>The equation for the boundary of the main cardioid is:
>
>r = 0.5 * (1 - cos(theta))
>x = r * cos(theta) + 0.25
>y = r * sin(theta)
>
>for the period 3 bulb, theta = 1/3 * 360 degrees = 120 degrees, so
>
>r = 0.75
>x = -.125
>y ~ .64952 = 3/8 * sqrt(3)
>
>which corresponds to what you got with Fractint.


Thanks for the info, Kerry!  Am I correct in my interpretation that the shape of
the main cardioid is therefore *not* a 'perfect' cardioid?  I.e., the method I
described of rotating one circle around another at my webpage
< http://boralf.agsci.colostate.edu/~jason/fracpages/geo_mset.htm >
will not accurately describe the actual Mset?

If this is the case... well, there'll be some rethinking to do, at least!

Cheers, Jason


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Date: Wed, 18 Mar 1998 16:10:58 -0800
From: "Jay Hill"<[e-mail]>
Subject: Re: (fractint) Re: A Geom Construction of the M-set

Hi Jason,

>Am I correct in my interpretation that the shape of
>the main cardioid is therefore *not* a 'perfect' cardioid?  I.e., the
method I
>described of rotating one circle around another at my webpage
>< http://boralf.agsci.colostate.edu/~jason/fracpages/geo_mset.htm >
>will not accurately describe the actual Mset?
>If this is the case... well, there'll be some rethinking to do, at least!

Your rolling circle model is fine, just be careful in the math....

Jay




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Date: Wed, 18 Mar 1998 20:46:26 -0500
From: "Peter Gavin" <[e-mail]>
Subject: (fractint) Sqrt(3) in the Mset

I was doing some zooming on the mset, and I decided to try a repeated
zoom...  I started with the midget at -1.75,0 and zoomed at the midget that
cooresponds to itself; i.e.,
the new midget : (-1.75,0) :: (-1.75,0) : the main mset
Over and over and over again, and I realized that a familiar number was
coming up, sqrt(3).  Atleast I think it was that... I'll have to double
check.  Anyways, the center of each successive zoom approached closer and
closer to that.
I just thought it was kinda cool and interesting...  Email me back if you
figure anything out. :)

Pete
<[e-mail]>



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Date: Wed, 18 Mar 1998 21:45:41 -0800
From: dudley brooks <[e-mail]>
Subject: (fractint) video driver question

i recently bought a new video card for my computer which is a 486
66mgz.the video card i bought is a Diamond Speedstar 64 2000 Graphics
and now fractint does not work in the video mode that i always used
shift 7 or is it f7 1024x780 and works with most super vga.i had no idea
that there would ever be a problem with this or would have paid much
more attention to what i was buying as fractint is on of my favorite
pastimes on the computer.i have tried to read some of the documentation
with fractint on the video drivers but dont quite follow what it is i am
supposed to do.my computer literacy only goes so far.if anyone could
advise or help me i would be most grateful.i have had fractint since
version 16.? and it was one of the programs that really sparked my
interest in the computer. thanks dudley

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Date: Wed, 18 Mar 1998 21:39:43 -0800
From: "Jay Hill" <[e-mail]>
Subject: Re: (fractint) Sqrt(3) in the Mset

> From: Peter Gavin <[e-mail]>
>
> I was doing some zooming on the mset, and I decided to try a repeated
> zoom...  I started with the midget at -1.75,0 and zoomed at the midget that
> cooresponds to itself; i.e.,
> the new midget : (-1.75,0) :: (-1.75,0) : the main mset
> Over and over and over again, and I realized that a familiar number was
> coming up, sqrt(3).  Atleast I think it was that... I'll have to double
> check.  Anyways, the center of each successive zoom approached closer and
> closer to that.
> I just thought it was kinda cool and interesting...  Email me back if you
> figure anything out. :)
>

I get the limit as -1.78644025556369

Of course I could have lost lock and zoomed into the wrong one.....

Jay


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Date: Thu, 19 Mar 1998 00:52:10 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: Re: (fractint) Sqrt(3) in the Mset

At 09:39 PM 3/18/98 -0800, you wrote:
>> From: Peter Gavin <[e-mail]>
>>
>> I was doing some zooming on the mset, and I decided to try a repeated
>> zoom...  I started with the midget at -1.75,0 and zoomed at the midget that
>> cooresponds to itself; i.e.,
>> the new midget : (-1.75,0) :: (-1.75,0) : the main mset
>> Over and over and over again, and I realized that a familiar number was
>> coming up, sqrt(3).  Atleast I think it was that... I'll have to double
>> check.  Anyways, the center of each successive zoom approached closer and
>> closer to that.
>> I just thought it was kinda cool and interesting...  Email me back if you
>> figure anything out. :)
>>
>
>I get the limit as -1.78644025556369
>
>Of course I could have lost lock and zoomed into the wrong one.....
>
>Jay
>


It's not the sqrt of 3.  I went as far as I could go and got
- -1.7864402555..., the same as Jay.


Jim Muth
[e-mail]



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End of fractint-digest V1 #137
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