ftp.xmission.com/2014.06.ftp.xmission.com.tar/ftp.xmission.com/pub/lists/fractint/archive/v01.n110

Internet Message Format | 1998-02-15 | 44KB

From: [e-mail] (fractint-digest)
To: [e-mail]
Subject: fractint-digest V1 #110
Reply-To: fractint-digest
Sender: [e-mail]
Errors-To: [e-mail]
Precedence: bulk


fractint-digest       Sunday, February 15 1998       Volume 01 : Number 110




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

Date: Sun, 15 Feb 1998 00:31:24 -0700 (MST)
From: Kerry Mitchell <[e-mail]>
Subject: (fractint) Higher order Herman Rings

Paul D. queried:

> ObFractint: I have tried and tried but have not figured out how to
> generalize the hring formula to, say, cubic structure, or to add more
> critical points. Damn damn damn... Anyone else got any ideas? Jay, Paul C?
> Kerry? You math whizzes? :-)

Try these out.  I don't guarantee that the are actually Herman rings,
since I'm not sure I understand the exact definition.  However, they seem
to do about the same thing that Paul's other ones did.  I'll post an
explanation tomorrow.

third-order        { ; copyright Kerry Mitchell 14feb98
  reset=1960 type=formula formulafile=fractint.frm
  formulaname=herman_jul-polar center-mag=3.42201/1.04\
  384/0.1760563/1/-7.5 params=5.5/0/3/4/1/1 float=y
  maxiter=256 inside=0 decomp=256 periodicity=0 colors\
  =000<40>x00z00z00<40>zy0zz0zz1<39>zzxzzzzzz<40>1zz0z\
  z0yz<39>02z00z00z<41>000 cyclerange=0/255
  }

fourth-order       { ; copyright Kerry Mitchell 14feb98
  reset=1960 type=formula formulafile=fractint.frm
  formulaname=herman_jul-polar center-mag=5.96811/0.05\
  17307/0.1037344 params=8.3/0/4/4/1/4 float=y maxiter=256
  inside=0 decomp=256 periodicity=0 colors=000<41>0x00z\
  00y0<39>020000001<42>00x00z00y<39>002000100<40>z00<40\
  >200 cyclerange=0/255
  }

fifth-order        { ; copyright Kerry Mitchell 14feb98
  reset=1960 type=formula formulafile=fractint.frm
  formulaname=herman_jul-polar center-mag=6.45715/0.74\
  0198/0.1168224/1/5 params=8.3/0/5/4/1/5 float=y
  maxiter=256 inside=0 decomp=256 periodicity=0 colors\
  =000400500600810<4>C20C20D20D30E30<3>G40H40H40H50<18\
  >P91PA1PA1PA1QA1<29>YI5YI5YI5YJ5ZJ5ZJ5<57>iYIiYIjYIj\
  YJjZJjZJ<41>qhWqiXqiXqiYqiY<67>zzz cyclerange=0/255
  }

frm:herman_jul-polar { ; Kerry Mitchell 14feb98
        ; p1 = Julia parameter
        ; real(p2) = z exponent (use integer >= 2)
        ; imag(p2) = coloring speed (try 4)
        ; real(p3) = alpha magnitude (try 1)
        ; imag(p3) = alpha polar angle (try integers)
        ; use decomp=256, inside=0
        zc=pixel, iter=1, n=real(p2), m=n-1, c=p1
        maxr=1e6, minr=1/maxr, speed=imag(p2)*pi/128
        r=real(p3), t=imag(p3), alpha=r*(cos(t)+flip(sin(t)))
        oln=1/log(n), fac=log(0.5*log(maxr))
        :
        g=(zc-c)/(1-c*zc), zc=alpha*zc^n*g^m
        iter=iter+1, r=|zc|
        if (r<minr)
          t=(iter+oln*(fac-log(log(cabs(zc)))))*speed
          z=cos(t)+flip(sin(t))
          iter=-1
          end if
        if (r>maxr)
          t=(iter+oln*(fac-log(log(cabs(zc)))))*speed+pi
          z=cos(t)+flip(sin(t))
          iter=-1
          end if
        if (iter==maxit)
          z=0
          iter=-1
          end if
        iter>0
        }

- -------------------------------------------------------------------------------
Kerry Mitchell
[e-mail]
- -------------------------------------------------------------------------------




- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 01:29:29 -0800 (PST)
From: Kim Jiho <[e-mail]>
Subject: (fractint) Dance club experience

Tonight, I had the unpleasant experience of going to a dance club.
Mostly, it was just smoke and extremely deafening music that many
teenagers like.  But, out that chaos, one thing made the experience fun
and exciting...  The Mandelbrot Set.

Actually, it was the plasma thing in Fractint.  There were three monitors
(actaully TVs playing a pre-recorded video), with computer animation
playing.  The first thing I saw in the video was the plasma screen (with
more or less 256 colors).  That just reminded me of Fractint.  The company
that made the video might have used Fractint, but I'm not completely sure.
Anyway, as the video went on, the Mandelbrot set renderings came on, with
the colors scrolling, very very much like Fractint.  There were other
fractals, but I don't know what they're called off the top of my head.  It
was quite refreshing in the sweaty, smoke-filled atmosphere of that place.

So, fractals have become popular culture...  Even 16 year-old kids, who
have a disdain for math, are watching it.

Just thought you'd like to hear that.

J.K.




- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 04:38:31 -0500 (EST)
From: [e-mail] (Paul Derbyshire)
Subject: Re: (fractint) Dance club experience

>Tonight, I had the unpleasant experience of going to a dance club.
>Mostly, it was just smoke and extremely deafening music that many
>teenagers like.  But, out that chaos, one thing made the experience fun
>and exciting...  The Mandelbrot Set.

[deleted details]

Kewl!

This has beren commonplace in the UK and Europe for four years now. I (and
others) predicted it'd pop up on this continentin a few years. And
evidently it has...



- --
    .*.  Friendship, companionship, love, and having fun are the reasons for
 -()  <  life. All else; sex, money, fame, etc.; are just to get/express these.
    `*'  Send any and all mail with attachments to the hotmail address please.
Paul Derbyshire [e-mail] [e-mail]

- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 06:23:22 -0500
From: Les St Clair <[e-mail]>
Subject: Re: (fractint) 3D transformations

Hi Angela,

you asked

>>Those pars looked kinda funny to me....they referred to a gif
file....???????

The pars, in these examples, come in pairs.

Here's what to do:

1. Run the first par  "L3DT_01            { ; image for L3DT_01_3d"
   this will produce a regular Fractint image.
2. Save the image in the usual way
   note: this par automatically assigns the savename as "l3dt_01.gif"
3. Run the second par "L3DT_01_3d         { ; "Pinnacle" =

   this will look for the previously saved "l3dt_01.gif"
4. Once located, just keep hitting the return key to step through the 3D
options which have been pre-defined in the second par file
   e.g. scale, roughness, lighting, rotation etc.. The final keypress
should render the 3D image.

Ditto for the L3DT_14 and L3DT_14_3D pair.

hope this helps!

- - Les


- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 06:23:25 -0500
From: Les St Clair <[e-mail]>
Subject: Re: (fractint) 3D transformations

Hi Brian

>>Nice set of 3D images! =


Thanks!

>>BTW, "Astral Plane" and "Curly Fractint" look suprisingly familiar<vbg>=
!

I never said that these were NEW images <g>

- - Les


- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 09:42:27 EST
From: [e-mail]
Subject: Re: (fractint) Dance club experience

In a message dated 98-02-15 04:31:55 EST, [e-mail] writes:

<< So, fractals have become popular culture...  Even 16 year-old kids, who
 have a disdain for math, are watching it.   >>

  They probably don't realize that they ARE math. I mean, in math, all we ever
learn is how to square the hypotenuse of the sine and divide it by the radii
of the diffrential over two and add pi. How fun. They don't realize that math
can do cool stuff like fractals. When I tried to do a demonstration of
Fractint in my Geometry class, the immediate reaction of most of the class was
"What do you use them for?" Well, what is the Mona Lisa used for? (Good
question. It's sure not big enough to be a postage stamp. :-P)

- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 10:01:10 -0800
From: Peter Jakubowicz <[e-mail]>
Subject: Re: (fractint) Dance club experience

> Well, what is the Mona Lisa used for?

fractals; see Kerry Mithchell's gallery


- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 12:50:44 -0800
From: Felix <[e-mail]>
Subject: Re: (fractint) Dance club experience

[e-mail] wrote:

> In a message dated 98-02-15 04:31:55 EST, [e-mail] writes:
>
> << So, fractals have become popular culture...  Even 16 year-old kids, who
>  have a disdain for math, are watching it.   >>
>
>   They probably don't realize that they ARE math.

    I would have to disagree.  I first got into fractals with Fractint and the
bible _Fractal_Creations_ when I was fourteen.  (actually helped me through math
on occaision when a particularly boring lesson could be related to biffurication,
chaos or iteratives.  In one especially boring precal class I remembering writing
a mandelbrot program on my TI-85)  Anyway, now I'm twenty, and for the last 4
years I have dragged my computer and a rented LCD projector all over town to
raves, rock concerts, private dances, anywhere a little more atmosphere is
needed.  Atmosphere like a 16 foot julia.  And almost without exception someone
will come up to me and says: "say, those are fractals aren't they?"  And then
they'll get some friends and hang around and ask questions for a few minutes
before giong back into the fray.
    Point being:  Probably 50% of the kids at that club knew they were fractals,
and I wouldn't be surprised if 15% could name the Mandelbrot.

Just my 2c.

- -Andrew
- --
| Andrew Duhan    |     Cereal is     |
| [e-mail]  |       g00d.       |
| http://chimera.acs.ttu.edu/~aduhan/ |



- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 14:48:57 EST
From: [e-mail]
Subject: Re: (fractint) Dance club experience

In a message dated 98-02-15 13:53:42 EST, [e-mail] writes:

<< >   They probably don't realize that they ARE math.

     I would have to disagree.  [Snip]
     Point being:  Probably 50% of the kids at that club knew they were
fractals,
 and I wouldn't be surprised if 15% could name the Mandelbrot. >>

  ::Shrugs:: Well, yah, they might be able to recognize them as fractals or as
Mandelbrot set images, but how many do you think would really be able to look
at them and realize that those cool images are nothing more than an equation?

- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 15:08:33 -0500
From: Dick Amerman <[e-mail]>
Subject: Re: (fractint) 3D transformations

Paul Derbyshire wrote:

> >arg, that should have been http://www.povray.org/
> >sorry, sorry, i used to work as a copyeditor; i guess this is my
> >subconscious' revenge for that experience
>
> Note: this address seems to behave strangely; sometimes it works
> andsometimes it hangs any browser I've tried. I suspect maybe the machine
> that hosts the web site is not entirely stable. Does anyone know of any
> mirrors, or if themachine or software have been repaired/improved?

The Povray home page works OK for me, using Netscape's Communicator (now free at
Netscape's site for the taking) -- I recently downloaded Povray 3.02 without
trouble.  The page lists a number of mirror sites, most of them in Europe.  The
page also says that there is no official site and that some sites do not supply all
files.  Here's the list of web sites from Povray's home page:

        http://www.etsimo.uniovi.es/ftp/pub/raytrace
        http://stef.u-picardie.fr/ftp/pub2/ftp.povray.org
        http://www.vu.union.edu/~ftp/pub/povray
        http://sunsite.icm.edu.pl/pub/povray
        http://ftp.ncu.edu.tw/Packages/ray-tracing/
        http://serviceftp.flashnet.it/mirrors.htm
        http://kermit.stud.fh-heilbronn.de/povray
        http://ftp.uni-erlangen.de/pub/other/povray/
        http://gd.tuwien.ac.at/graphics/raytracing/povray/
        http://ftp.tu-clausthal.de/pub/mirror/povray

I spot checked a few.  The vu.union.edu site no longer exists.  The sunsite.icm.edu
is in Polish language, and I saw nothing I recognized as Povray.  The ncu.edu site
came up gibberish.  The uni-erlangen ftp site worked just fine.

Povray is a neat, copyrighted, freeware program.

Version 3.02 is also available on the IRTC (Internet Ray Tracing Competition)
CD-ROM for US$30, which can be ordered through http://www.aussie.org/products/.

You might enjoy viewing the competition images following links from

                                     http://www.irtc.org/

and you can even cast votes for your favorites.

Dick Amerman







- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 15:01:08 -0800
From: Felix <[e-mail]>
Subject: Re: (fractint) Dance club experience

[e-mail] wrote:

> ... but how many do you think would really be able to look
> at them and realize that those cool images are nothing more than an equation?

    Well I couldn't guess that number.  Probably less then we would like.Actually,
two of the three math books I had in high school had a couple of pages devoted to
iteratives and fractals.  The precal book even had a picture of Beniot himself...

- --
| Andrew Duhan    |     Cereal is     |
| [e-mail]  |       g00d.       |
| http://chimera.acs.ttu.edu/~aduhan/ |



- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 15:17:42 -0800
From: Wizzle <[e-mail]>
Subject: (fractint) Carlson Map for Julias

I had one of those fortuitous goofs that seems to happen so often in
fractal land.  I couldn't make the color map work for Bud's
gj19..........and.....I was messing around with Paul Carlson's bright color
map which he posted with his petals julia samples.  Well....one thing lead
to another.....here is Bud's julia re-colored, followed by a variation on
Kathy Roth's ShellWorld .....colored with Paul's map (you'll see why I
cally it juicy) and below are some thoughts on this very very handy color
map.

gj19revised        { ; "Reflex" - (c) Mark "Bud" Christenson 2/13/98
                     ; recolored by wizzle from using Paul Carlson's color
                     ; intervals
  reset=1960 type=formula formulafile=*.frm formulaname=gravijul
  function=atanh/atanh/atan center-mag=0/0/0.06
  params=0.95/0/0.07000000000000001/0/2.95/0 float=y maxiter=151
  inside=200 outside=atan
  colors=000nXl<3>uhu<11>X4RU0OU3A<16>zcc<12>U3AG75<13>zzc<11>LD9I96E53A00\
  00A<11>7Od8Qg9SjAUmASj<10>13E00A000<13>000F70<15>rZU<12>F700AK<15>0zz<12\
  >0AKA00<15>zzc<12>A003A3<14>czc<13>3A3U0O<10>lUj
  }

juicy_julia        { ; by wizzle via kathy roth with the carlson map
                     ; from a formula by ???
  reset=1960 type=formula formulafile=*.frm
  formulaname=bubbleboth_jul
  center-mag=0.0307987/0.0484215/0.781575/1.3423
  params=-0.0174289981879/0.662179659/1000/0.75/1/0.5 float=y
  maxiter=256 inside=period decomp=2048 periodicity=0
  colors=0000xU<19>KA0<18>zw0<18>U50<15>zc0<14>V5GS2IQ1DO08<15>z0f<13>O08O\
  00<15>z88<13>N19K0AK2DK4GK7K<25>f9ugAweAu<16>00K<9>N`iQdlUkq<2>awz<19>2M\
  D0KA0MB<14>0uS
  }

This color map works particularly well with julias of any sort.......but
really is a must for the new fancier julia's done with ifs.  Here are some
thoughts about working with this map.

1.  Color transitions are not required.  But you must place the darkest and
lightest colors where Paul did for the whole thing to work.

2.  Any sort of color sequence seems to be accepatable.....so go wild!!
Make blue follow yellow then jump to magenta........my version uses
"wizzle" colors which tend to be bright mid tones. I tried doing a map
using "chessiecat" colors and that looked lovely too....but was just not
ME.  I've noticed we all seem to develop pallet personalities after a while.

3.  Don't go too bland....make sure you have a good range for the darkest
and lightest colors and your julia will have a sense of 3d
form....otherwise it will look flat and washed out no matter how pretty and
individual color is.  You may want to start by just changing the lightest
color in each color "set" to get a feel for the map.

This map was really interesting to me because I usually don't like maps
that have sharp color variations.......thus far I've made maps that
smoothyly transition between colors. I'd say this type of map is a "must"
for everyone's fractint toolkit.

Happy coloring!!!

p.s.  if you are new and don't know how to "grab" maps.....check my tips

http://wizzle.simplenet.com/fractals/fractalintro.htm

- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 18:34:00 -0500
From: Lee Skinner <[e-mail]>
Subject: (fractint) Crash!

Paul,

>>The PAR attached below seems to hang Fractint 19.6 a short way into the=

fourth pass using guessing at 1024x768x256. At this point, the image ceas=
es
to make progress and Fractint stops responding to such keys as x, tab, an=
d
esc. It becomes necessary to kill the DOS box. I had it saving partially
complete versions of this image, using savetime=3D10; when I loaded the m=
ost
recent autosave it computed for about five minutes, then hung again at th=
e
same exact spot...<<

This is symtomatic of the occasional Fractint encoder/decoder bug that
bites without warning every now and then, but usually with larger
resolutions, and more frequently with images having little detail (which
doesn't apply here.)  A way to get around this is to go back to some
previously saved image that was OK, then pan it very slightly right, left=
,
top, or down - it usualy doesn't make any difference which - and then see=

if that gets around the problem.  If not, try panning in a diffferent
direction.

Lee

- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 19:58:24 -0500
From: "Jason Hine" <[e-mail]>
Subject: Re: (fractint) Avogadro's number

Peter J. asked:


>Is there any significance to blowing up the M-set by Avogadro's number
>other than for the fun of it?


Or how about the Planck length?  Amazing how these extreme numbers don't even
come close to Fractint's limits...

Jason Hine


- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 21:45:06 -0600
From: "Justin A. Kolodziej" <[e-mail]>
Subject: Re: (fractint) Avogadro's number

Jason Hine wrote:
>
> Peter J. asked:
>
> >Is there any significance to blowing up the M-set by Avogadro's number
> >other than for the fun of it?
>
> Or how about the Planck length?  Amazing how these extreme numbers don't even
> come close to Fractint's limits...

Circumference of the universe, anyone?  :)  Maybe someone with a LOT of
time to spare (like me) could make a web page dedicated to this stuff...

- --
Justin A. Kolodziej
Why pay for an OS when you can get a clearly superior one for free?
Justin Kolodziej is [e-mail]
Marquette University is www.mu.edu

- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 20:05:00 -0800
From: Wizzle <[e-mail]>
Subject: (fractint) Lee's PNG Images

I surfed over to Lee Skinner's pages today with my nice new shiney Netscape
Communicator 4.04......but I couldn't see the png images!!!!  a total
disappointment.  What I got instead of pretty pictures was code......well
over 1.1 meg of code per pic...<<blech>>.

This is wierd......I can open a png file in Communicator just fine if the
png file is on my puter....but none of Lee's images would work on the web.
Anyone else have this prob?? And why were Lee's files so huge? even my
biggest 1024 x whatever gif is less than a meg....I thought png was a
better method of compression. Seems like we may not quite be there png-wise.

Angela

ps...lee's site is at http://fractal.mta.ca/fractals/skinner/skinner.htm

- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 22:36:19 -0800
From: Felix <[e-mail]>
Subject: Re: (fractint) Lee's PNG Images

> ...  What I got instead of pretty pictures was code......
> Anyone else have this prob??

Those darned MIME types.


- --
| Andrew Duhan    |     Cereal is     |
| [e-mail]  |       g00d.       |
| http://chimera.acs.ttu.edu/~aduhan/ |



- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 23:44:22 -0500
From: Gedeon Peteri <[e-mail]>
Subject: Re: (fractint) Lee's PNG Images

Wizzle wrote:

> I surfed over to Lee Skinner's pages today with my nice new shiney Netscape
> Communicator 4.04......but I couldn't see the png images!!!!  a total
> disappointment.  What I got instead of pretty pictures was code......well
> over 1.1 meg of code per pic...<<blech>>.
>
> This is wierd......I can open a png file in Communicator just fine if the
> png file is on my puter....but none of Lee's images would work on the web.
> Anyone else have this prob??

Yes! Same thing happens here and I am using Netscape Communicator 4.04 too.
Fortunately I have Lee's par file and generated most of those great images
myself.

Gedeon.


- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 22:59:07 -0800
From: Felix <[e-mail]>
Subject: Re: (fractint) Lee's PNG Images

Felix wrote:

> > ...  What I got instead of pretty pictures was code......
> > Anyone else have this prob??
>
> Those darned MIME types.

OK, I'm replying to my self, but:For more info, go to Communicator's
help-->contents-->index--->MIME  and read what it's got to say.

- --
| Andrew Duhan    |     Cereal is     |
| [e-mail]  |       g00d.       |
| http://chimera.acs.ttu.edu/~aduhan/ |



- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 21:08:25 -0800
From: Mark Christenson <[e-mail]>
Subject: Re: (fractint) Carlson Map for Julias

comment {
At 03:17 PM 2/15/98 -0800, Wizzle wrote:
>I had one of those fortuitous goofs that seems to happen so often in
>fractal land.  I couldn't make the color map work for Bud's
>gj19...

What kind of trouble?  I hope I'm not putting out bad files...

Here's another branch on the gravijul tree.

 - Bud
}

gj161              { ; "Shear", refined gj16 - (c) Bud 2/15/98
  reset=1930 type=formula formulafile=*.frm formulaname=gravijul
  function=recip/tan/sqrt passes=t
  center-mag=0/0/0.45
  params=0.95/0/0.1/0/2.95/0 float=y maxiter=300 inside=200
  outside=atan
  colors=NJX<2>NJ_OK`OKaPLbPLc<4>ROhSOhTPiUPiVQj<4>_Tm`UnaVnbWocXodYpeZqf_\
  q<2>idtjfulhvnjvolwqnx<5>zzz<30>2WW0VV0UU<14>0FFzzz000<162>000
  }



- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Mon, 16 Feb 1998 00:55:56 -0500 (EST)
From: [e-mail] (Paul Derbyshire)
Subject: Re: (fractint) Crash!

>This is symtomatic of the occasional Fractint encoder/decoder bug...

Encoder/decoder bug? It didn't hang during an autosave, or a load...


- --
    .*.  Friendship, companionship, love, and having fun are the reasons for
 -()  <  life. All else; sex, money, fame, etc.; are just to get/express these.
    `*'  Send any and all mail with attachments to the hotmail address please.
Paul Derbyshire [e-mail] [e-mail]

- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Sun, 15 Feb 1998 22:58:09 -0700 (MST)
From: Kerry Mitchell <[e-mail]>
Subject: (fractint) More Herman Rings (long)

comment { ; narrative copyright Kerry Mitchell 15feb98

Higher order Herman Rings

In Paul Derbyshire's posting about Herman Rings, he gave a formula
that was known to generate the rings:

H(z) = alpha * z^2 * (z-c) / (1-c*z).

Paul's examples tended to resemble, in overall shape, Julia sets
from the standard quadratic, f(z) = z^2 + c.  I surmised that this
was due to the z^2 factor in H(z), and conjectured that higher
order Herman Rings could be made by increasing the z exponent.
Just going from z^2 to z^3 was interesting, but didn't result in
the same sort of dynamics that H(z) had.  So, I generalized H(z)
into F(z):

F(z) = alpha * z^n * g(z)^m, where
g(z) = (z-c)/(1-c*z).

The formula that Paul used had n=2 and m=1.  I tried n=3 and m=1
and determined it to be unsuccessful.  So, I tried n=3 and m=2,
and decided that, in general, m should be equal to n-1 for higher
order rings.

Finding the critical points for F is not as hard as it may seem.
Using the derivative rules from calculus,

F' = alpha * nz^(n-1) * g^m + alpha * z^n * mg'g^(m-1).

Setting F' = 0 to find the critical points means that alpha,
z^(n-1) and g^(m-1) can all be divided out as common factors.
(The critical points associated with those factors are:  z=0,
z=c, and z=1/c.  None of these has interesting dynamics.)  The
result is:

0 = ng + mg'z, or
z = -ng / (mg').

Differentiating g(z),

g' = (1-c^2) / (1-c*z)^2.

Using this in the above equation for z results in a quadratic
for z which is easily solved using the quadratic equation.  In
fact, when m = n-1, the discriminant of the solution can be
factored.  The result is:

z = [c^2 + (2n-1)] +/- sqrt([c^2 - 1]*[c^2 - (2n-1)^2])] / (2nc).

Using this directly as the starting point for Mandelbrot-type
images leads to discontinuities, where one root should be used
instead of the other.  These discontinuities occur when real(c^2)
= n^2 + m^2, and at the imaginary axis.  In the formulas below
(herman_man and herman-alpha), they are automatically handled
in the initialization.  Since Julia sets are not initialized
using critical points, the herman_jul formulas lack this logic.

The rotation parameter, alpha, is what seems to determine whether
or not Herman rings actually show up.  Two methods can be used to
set alpha--cartesian and polar coordinates.  For the cartesian
method (-cart formulas), the real and imaginary parts of alpha are
input directly.  With the polar method (-polar formulas), the
magnitude and polar angle of alpha are input.  This makes it very
easy to specify rotation by an irrational angle.  Simply specify a
*rational* number for the polar angle.  The irrationality of the
rotation angle is expressed as an irrational number of turns, not
radians.  Since the difference between turns and radians involves
a factor of pi, which is irrational, using a rational number of
radians insures that the number of turns is irrational.  The effect
of alpha can be show through the special Mandelbrot-type formula,
herman_alpha.  Here, c is input through parameters and z is
initialized accordingly.  The parameter alpha is varied by being
set to the pixel value.

The following formulas all use the renormalization method to
reduce banding.  In this implementation, the actual coloring is
performed using the decomposition method.  This allows separate
rendering of the orbits that get attracted to infinity and those
that get attracted to 0.  After forming the decomposition angle
based on the iteration count, those pixels that escape to infinity
have their angle increased by pi.  This means that for the same
iteration count, two pixels with different basins of attraction
will be separarated by half of the color palette.  Those pixels
whose orbits are not attracted by either 0 or infinity are treated
as inside pixels.

}

alpha-sweep        { ; copyright Kerry Mitchell 15feb98
                     ; blue goes to infinity, green to 0
  reset=1960 type=formula formulafile=fractint.frm
  formulaname=herman_alpha center-mag=0/0/0.6666667
  params=3/4/1.25/0/1/0 float=y maxiter=256 inside=0 decomp=256
  periodicity=0 colors=000<41>0x00z00y0<39>020000001<42>\
  00x00z00y<39>002000100<40>z00<40>200 cyclerange=0/255
  }

lay-o-the-land-2   { ; copyright Kerry Mitchell 15feb98
  ; notice affect of critical points across imag axis
  ; uses irrational rotation angle (1/2pi turns = 1 radian)
  reset=1960 type=formula formulafile=fractint.frm
  formulaname=herman_man-polar center-mag=7.40689/0/0.25
  params=2/4/1/1/1/0 float=y maxiter=256 inside=0 decomp=256
  periodicity=0 colors=000<40>x00z00z00<40>zy0zz0zz1<39>zzx\
  zzzzzz<40>1zz0zz0yz<39>02z00z00z<41>000 cyclerange=0/255
  }

herman-ring-2      { ; copyright Kerry Mitchell 15feb98
                     ; ring from lay-o-the-land-2
  reset=1960 type=formula formulafile=fractint.frm
  formulaname=herman_jul-polar cyclerange=0/255
  center-mag=1.43796/-0.021421/0.3493159/1/-37.499
  params=3.14159265358979/0/2/4/1/1 float=y maxiter=256
  inside=0 decomp=256 periodicity=0 colors=000<40>x00z00z00<\
  40>zy0zz0zz1<39>zzxzzzzzz<40>1zz0zz0yz<39>02z00z00z<41>000
  }

midget-four        { ; copyright Kerry Mitchell 15feb98
  ; 4th order, uses rational rotation angle (1/4 turn)
  reset=1960 type=formula formulafile=fractint.frm
  formulaname=herman_man-cart center-mag=3.30331/0/0.6373984
  params=4/4/0/1/-1/0 float=y maxiter=256 inside=0 decomp=256
  periodicity=0 colors=000<46>00x00z00z<12>08z09z0Az0Bz0Cz<2\
  8>0mz0oz0oz<12>7xs8yr9zqAzpBzo<44>xz2zz0zz0<46>zR0zR0yQ0yQ\
  0xP0<9>rK0qJ0pI0oI0nI0<11>ZC0YC0WB0UB0<13>210 cyclerange=0/255
  }

lace-doily         { ; copyright Kerry Mitchell 15feb98
  ; 4th order, uses rational rotation angle (1/2 turn)
  reset=1960 type=formula formulafile=fractint.frm
  formulaname=herman_jul-cart center-mag=0/4.30063/0.1336898
  params=0/5.660750148272625/4/4/-1/0 float=y maxiter=256
  inside=0 decomp=256 periodicity=0 colors=Wph<9>bsmcsmdtn\
  etnetofto<20>yzzzzzyzz<31>ZqjYqiXqiXphWphVpg<25>GhWFgVFg\
  VEfUEfU<18>6_K6ZK6ZJ6YJ5YI<3>4WG4WG4VF3UF<14>1M71L71K61J\
  60I5<3>0F30E30C20B2<2>060000060081<4>0F30G40H40I50I51J6<\
  8>2QA2QB2RB2RC2SC<5>4VF4WG4WG4WH<12>8aN9bO9bOAbPAcP<20>K\
  jZKk_Lk_Mk`<14>Vpg cyclerange=0/255
  }

frm:herman_man-polar { ; Kerry Mitchell 15feb98
        ; real(p1) = z exponent (use integer >= 2; m=n-1)
        ; imag(p1) = coloring speed (try 4)
        ; real(p2) = alpha magnitude (try 1)
        ; imag(p2) = alpha polar angle (try integers)
        ; real(p3) = critical point selector (>0 for positive root)
        ; imag(p3) = unused                  (<0 for negative root)
        ; use decomp=256
        ; zero and infinity bailouts hardcoded to 1e-6, 1e6
        c=pixel, iter=1, n=real(p1), m=n-1, nfac=2*n-1
        maxr=1e6, minr=1/maxr, speed=imag(p1)*pi/128
        r=real(p2), t=imag(p2), alpha=r*(cos(t)+flip(sin(t)))
        oln=1/log(n), fac=log(0.5*log(maxr))
        c2=sqr(c), hypfac=sqr(n)+sqr(m), pn=1
        if (real(p3)<0)
          pn=-1
          end if
        if (real(c2)>hypfac)
          pn=-pn
        end if
        if (imag(c)<0)
          pn=-pn
        end if
        d=sqrt((c2-1)*(c2-sqr(nfac)))
        z=(nfac+c2+pn*d)/(2*n*c)
        :
        g=(z-c)/(1-c*z), z=alpha*z^n*g^m
        iter=iter+1, r=|z|
        ;
        ; orbit trap around 0
        ;   renormalize iteration count via decomp angle
        ;   set "iteration done" flag (iter=-1)
        ;
        if (r<minr)
          angle=(iter+oln*(fac-log(log(cabs(z)))))*speed
          z=cos(angle)+flip(sin(angle))
          iter=-1
          end if
        ;
        ; orbit trap around infinity
        ;   renormalize iteration count via decomp angle
        ;   add pi to angle to separate from 0 orbit trap
        ;   set "iteration done" flag (iter=-1)
        ;
        if (r>maxr)
          angle=(iter+oln*(fac-log(log(cabs(z)))))*speed
          angle=angle+pi
          z=cos(angle)+flip(sin(angle))
          iter=-1
          end if
        iter>0
        }

frm:herman_man-cart { ; Kerry Mitchell 15feb98
        ; real(p1) = z exponent (use integer >= 2; m=n-1)
        ; imag(p1) = coloring speed (try 4)
        ; p2 = alpha (go wild)
        ; real(p3) = critical point selector (>0 for positive root)
        ; imag(p3) = unused                  (<0 for negative root)
        ; use decomp=256
        ; zero and infinity bailouts hardcoded to 1e-6, 1e6
        c=pixel, iter=1, n=real(p1), m=n-1, nfac=2*n-1
        maxr=1e6, minr=1/maxr, speed=imag(p1)*pi/128
        oln=1/log(n), fac=log(0.5*log(maxr)), alpha=p2
        c2=sqr(c), hypfac=sqr(n)+sqr(m), pn=1
        if (real(p3)<0)
          pn=-1
          end if
        if (real(c2)>hypfac)
          pn=-pn
        end if
        if (imag(c)<0)
          pn=-pn
        end if
        d=sqrt((c2-1)*(c2-sqr(nfac)))
        z=(nfac+c2+pn*d)/(2*n*c)
        :
        g=(z-c)/(1-c*z), z=alpha*z^n*g^m
        iter=iter+1, r=|z|
        ;
        ; orbit trap around 0
        ;   renormalize iteration count via decomp angle
        ;   set "iteration done" flag (iter=-1)
        ;
        if (r<minr)
          angle=(iter+oln*(fac-log(log(cabs(z)))))*speed
          z=cos(angle)+flip(sin(angle))
          iter=-1
          end if
        ;
        ; orbit trap around infinity
        ;   renormalize iteration count via decomp angle
        ;   add pi to angle to separate from 0 orbit trap
        ;   set "iteration done" flag (iter=-1)
        ;
        if (r>maxr)
          angle=(iter+oln*(fac-log(log(cabs(z)))))*speed
          angle=angle+pi
          z=cos(angle)+flip(sin(angle))
          iter=-1
          end if
        iter>0
        }

frm:herman_jul-polar { ; Kerry Mitchell 15feb98
        ; p1 = Julia parameter
        ; real(p2) = z exponent (use integer >= 2; m=n-1)
        ; imag(p2) = coloring speed (try 4)
        ; real(p3) = alpha magnitude (try 1)
        ; imag(p3) = alpha polar angle (try integers)
        ; use decomp=256
        ; zero and infinity bailouts hardcoded to 1e-6, 1e6
        z=pixel, c=p1, iter=1, n=real(p2), m=n-1
        maxr=1e6, minr=1/maxr, speed=imag(p2)*pi/128
        r=real(p3), t=imag(p3), alpha=r*(cos(t)+flip(sin(t)))
        oln=1/log(n), fac=log(0.5*log(maxr))
        :
        g=(z-c)/(1-c*z), z=alpha*z^n*g^m
        iter=iter+1, r=|z|
        ;
        ; orbit trap around 0
        ;   renormalize iteration count via decomp angle
        ;   set "iteration done" flag (iter=-1)
        ;
        if (r<minr)
          angle=(iter+oln*(fac-log(log(cabs(z)))))*speed
          z=cos(angle)+flip(sin(angle))
          iter=-1
          end if
        ;
        ; orbit trap around infinity
        ;   renormalize iteration count via decomp angle
        ;   add pi to angle to separate from 0 orbit trap
        ;   set "iteration done" flag (iter=-1)
        ;
        if (r>maxr)
          angle=(iter+oln*(fac-log(log(cabs(z)))))*speed
          angle=angle+pi
          z=cos(angle)+flip(sin(angle))
          iter=-1
          end if
        iter>0
        }

frm:herman_jul-cart { ; Kerry Mitchell 15feb98
        ; p1 = Julia parameter
        ; real(p2) = z exponent (use integer >= 2; m=n-1)
        ; imag(p2) = coloring speed (try 4)
        ; p3 = alpha (go nuts)
        ; use decomp=256
        ; zero and infinity bailouts hardcoded to 1e-6, 1e6
        z=pixel, c=p1, iter=1, n=real(p2), m=n-1
        maxr=1e6, minr=1/maxr, speed=imag(p2)*pi/128
        oln=1/log(n), fac=log(0.5*log(maxr)), alpha=p3
        :
        g=(z-c)/(1-c*z), z=alpha*z^n*g^m
        iter=iter+1, r=|z|
        ;
        ; orbit trap around 0
        ;   renormalize iteration count via decomp angle
        ;   set "iteration done" flag (iter=-1)
        ;
        if (r<minr)
          angle=(iter+oln*(fac-log(log(cabs(z)))))*speed
          z=cos(angle)+flip(sin(angle))
          iter=-1
          end if
        ;
        ; orbit trap around infinity
        ;   renormalize iteration count via decomp angle
        ;   add pi to angle to separate from 0 orbit trap
        ;   set "iteration done" flag (iter=-1)
        ;
        if (r>maxr)
          angle=(iter+oln*(fac-log(log(cabs(z)))))*speed
          angle=angle+pi
          z=cos(angle)+flip(sin(angle))
          iter=-1
          end if
        iter>0
        }

frm:herman_alpha { ; Kerry Mitchell 15feb98
        ; real(p1) = z exponent (use integer >= 2; m=n-1)
        ; imag(p1) = coloring speed (try 4)
        ; p2 = c
        ; real(p3) = critical point selector (>0 for positive root)
        ; imag(p3) = unused                  (<0 for negative root)
        ; use decomp=256
        ; zero and infinity bailouts hardcoded to 1e-6, 1e6
        alpha=pixel, iter=1, n=real(p1), m=n-1, nfac=2*n-1
        maxr=1e6, minr=1/maxr, speed=imag(p1)*pi/128
        oln=1/log(n), fac=log(0.5*log(maxr)), c=p2
        c2=sqr(c), hypfac=sqr(n)+sqr(m), pn=1
        if (real(p3)<0)
          pn=-1
          end if
        if (real(c2)>hypfac)
          pn=-pn
        end if
        if (imag(c)<0)
          pn=-pn
        end if
        d=sqrt((c2-1)*(c2-sqr(nfac)))
        z=(nfac+c2+pn*d)/(2*n*c)
        :
        g=(z-c)/(1-c*z), z=alpha*z^n*g^m
        iter=iter+1, r=|z|
        ;
        ; orbit trap around 0
        ;   renormalize iteration count via decomp angle
        ;   set "iteration done" flag (iter=-1)
        ;
        if (r<minr)
          angle=(iter+oln*(fac-log(log(cabs(z)))))*speed
          z=cos(angle)+flip(sin(angle))
          iter=-1
          end if
        ;
        ; orbit trap around infinity
        ;   renormalize iteration count via decomp angle
        ;   add pi to angle to separate from 0 orbit trap
        ;   set "iteration done" flag (iter=-1)
        ;
        if (r>maxr)
          angle=(iter+oln*(fac-log(log(cabs(z)))))*speed
          angle=angle+pi
          z=cos(angle)+flip(sin(angle))
          iter=-1
          end if
        iter>0
        }

- -------------------------------------------------------------------------------
Kerry Mitchell
[e-mail]
- -------------------------------------------------------------------------------


- -
- ------------------------------------------------------------
Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

End of fractint-digest V1 #110
******************************