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From: owner-fractint-digest@lists.xmission.com (fractint-digest)
To: fractint-digest@lists.xmission.com
Subject: fractint-digest V1 #160
Reply-To: fractint-digest
Sender: owner-fractint-digest@lists.xmission.com
Errors-To: owner-fractint-digest@lists.xmission.com
Precedence: bulk
fractint-digest Tuesday, April 7 1998 Volume 01 : Number 160
----------------------------------------------------------------------
Date: Wed, 8 Apr 98 01:56:45 GMT
From: "John W. Evans" <jwevans@clara.net>
Subject: Re: (fractint) Photoshop 4.0 free
on 07 Apr 98, fractint@lists.xmission.com wrote...
>At 08:35 PM 4/6/98 -1000, you wrote:
>On 5 Apr 98 at 16:22, Marie Drozdis wrote:
>
> If any of you work for an academic institution, you
> can get the *full* CorelDraw8 program in an academic
> edition (meaning without manual) for around a hundred
> dollars.
>
>Does one request the program directly from Corel? Or must one go through
>the institution? In my case it would be U. of Md...
>
>davides@pipeline.com
>Back up my hard drive?
>How do I put it in reverse?
>
>
My wife produced a copy of her contract of emploment as
a part-time lecturer to a software retailer who was advertising
the academic CoreDraw8 and that was accepted as sufficient evidence.
BTW I like it and Corel Photo-Paint which is included for image manipulation
including PNG but for quick viewing and batch conversion to PNG (for more
economic storage of images) I use Thumbsplus.
Hope this helps
John Evans
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>
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------------------------------
Date: Tue, 7 Apr 1998 21:15:35 -0400
From: Lee Skinner <LeeHSkinner@compuserve.com>
Subject: (fractint) New Colormaps
Tim,
> 1) Colors-only (default=3Dno)
>>Ahhh ... what does this option do?
Makes a par with only the name, {, colors=3D ..., and }. Not even a res=
et=3D!
> 2) Interpolate Colors (default=3Dyes)
> =
>>Again I don't understand. How do I guarantee exact colors? The only =
way I know to do this is to use map files.<<
You would output triplets for each color - no colors interpolation. An e=
xact,
but very long par.
Lee
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------------------------------
Date: Tue, 7 Apr 1998 20:33:26 -0500 (CDT)
From: pjcarlsn@ix.netcom.com (Paul and/or Joyce Carlson)
Subject: Re: (fractint) Formula Life Cycle
This discussion comes at a good time for me, since I've
been wondering about all the formulas I've been posting
lately. I'd really appreciate some feedback, be it pro
or con.
>We see new formula posted here nearly every day. These
>include one or maybe half a dozen pars (pictures). Then
>some subscribers may explore around a little and save one
>or two more on their disk. Then most of these formula are set
>aside.
I'm afraid that has probably been the fate of most, if not all,
of the formulas I've posted to this list.
The reason I've been posting formulas and pars to this list
is not to show off images, but in the hope that people would
use the methods to create their own images and perhaps extend
the methods to other equations or to modify the methods to
generate new effects. And although a few people posted some very
nice images using my formulas or variations of them, the number
has been few enough that I've wondered at times if:
1) there is enough interest in these types of formulas, or
2) people are put off by the size of the formulas (with all
the IF-ELSE statements), or
3) people are put off by the somewhat gaudy colors I use
(many look like a rainbow gone beserk), or
4) I've been posting them faster than people have time to
experiment with them, or
5) people are finding them difficult to use.
If it's because they are difficult to use, then it's probably
my fault. Although I supplied extensive comments in the first
few formulas I posted which explained how the formula worked,
I didn't give much guidance on how to use the formulas. What
I think makes my formulas more difficult to use than most are:
1) because they were developed using geometry, the formulas
don't lend themselves to a random choice of parameters,
2) it is difficult to locate interesting areas to zoom into
in my Mset formulas because the pseudo-3D image elements tend
to overwhelm the fine detail in the "overall" Mset, and
3) Julia set coordinates can't be obtained from the Msets as
they can with the builtin Mandelbrot set and selecting
coordinates at random isn't likely to result in a nice image.
Sometime in the near future I'll try to post some tips that will
make it easier to use the formulas I have posted and will post.
As far as colors go, I definitely can use some help here. I
really appreciated it when Sylvie and Wizzle supplied some new
colormaps for my formulas. The reason I developed the
orbit_trap-ratio-color_range methodology was because I have
no artistic talent and I needed a way for my programs to
automatically generate decent looking images using a few
simple standard colormaps.
>What makes a great formula great?
If by great you mean a formula that's widely used by people
of all levels of experience and math skill to produce a wide
variety of beautiful images, then I would put the great formulas
into two classes:
1) formulas like the classic Mandelbrot set that have a wealth
of ever-changing detail at it's boundary and are simple to
zoom into and,
2) Julia set formulas such as fn+fn, fn*fn and gravijul which
lend themselves to experimentation by random input of parameters
(I've seen outstanding images created with these three formulas
by people with little fractal experience or math background).
However, these may not be what you're talking about since each
has so many combinations of parameters and functions that each
is actually many formulas.
Most of the formulas that I've posted are, for the most part,
rendering methods wrapped around existing formulas.
In general, my formulas produce nice images when the equations
being iterated also produce nice images using the more standard
rendering methods. Although my formulas may look formidable to
some people (with lots of those IF-ELSE statements), the equations
being iterated are generally simple and the images reflect that
simplicity. The point is, the simpler the equation being iterated
is, the more it lends itself to different rendering methods.
>What are the best formulas to come to this list? I suspect
>out of the thousands out there, only about half a dozen have
>generated the bulk of really good pictures.
The gravijul formula, judging by the number of pars which have
been posted that generate beautiful images.
>But then again, are the best pictures generated from obscure
>formula?
No. The best pictures are created from well-known formulas
by artistically gifted people.
This message has gotten almost as long as my formulas. :)
Thanks for reading - hope to hear from some of you.
Paul Carlson
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------------------------------
Date: Tue, 7 Apr 1998 22:01:54 -0500
From: "Michelle Zulli" <knifegrl@newsguy.com>
Subject: Re: (fractint) Photoshop 4.0 free
On 7 Apr 98, James R. McKenzie wrote:
> I've seen SURPLUS DIRECT offer Academic Versions of serveral
> programs most being the latest versions too. URL below
>
> http://www.surplusdirect.com
[snip]
If you're looking for academic pricing, try The Software Source
<http://www.swsonline.com>. That's all they do. They list
Photoshop 4.01 (full version for Windows) for $269.
One neat thing to consider . . . The Software Source accepts
membership in Ziff-Davis University <http://www.zdu.com> as a
qualifier.
This is my first post to the list. I'm pretty green with Fractint.
I'm in the playing around and going "wow" stage. Having lots of fun
with it so far!
Wow,
Michelle
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------------------------------
Date: Tue, 07 Apr 1998 22:02:22 -0400
From: davides <davides@pipeline.com>
Subject: Re: (fractint) Photoshop 4.0 free
At 01:56 AM 4/8/98 GMT, you wrote:
>My wife produced a copy of her contract of emploment as
>a part-time lecturer to a software retailer who was advertising
>the academic CoreDraw8 and that was accepted as sufficient evidence.
Good enough - I can take it from there (calling distributers and inquiring
as to requirements and so on)
>BTW I like it and Corel Photo-Paint which is included for image manipulation
>including PNG but for quick viewing and batch conversion to PNG (for more
>economic storage of images) I use Thumbsplus.
For some reason I have not used several graphics programs lately which I
have installed, including Thumbsplus, Bryce2, VistaPro 4.0, and other
stuff...something to do with a couple of formulas in fractint... and lack
of available time... :)
Thanks for the info.
davides@pipeline.com
Back up my hard drive?
How do I put it in reverse?
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------------------------------
Date: Tue, 07 Apr 1998 22:20:45 -0400
From: davides <davides@pipeline.com>
Subject: Re: (fractint) Formula Life Cycle
At 08:33 PM 4/7/98 -0500, you wrote:
>This discussion comes at a good time for me, since I've
>been wondering about all the formulas I've been posting
>lately. I'd really appreciate some feedback, be it pro
>or con.
(Much snippage thoughout)
>I'm afraid that has probably been the fate of most, if not all,
>of the formulas I've posted to this list.
For myself: Your formulas are a part of my collection and I have generated
a couple of images with them. Still tinkering though...
>2) people are put off by the size of the formulas (with all
> the IF-ELSE statements),
I haven't had one bite me yet...
or
>3) people are put off by the somewhat gaudy colors I use
> (many look like a rainbow gone beserk),
um, er... :) Actually, your coloring methodology works well with your
images.
or
>4) I've been posting them faster than people have time to
> experiment with them,
For me, time _is_ a factor. I have very little spare time so becoming
familiar with the operation of fractint and the various formulas
etc...right now, from just the past 2 or 3 months, I probably literally
have enough to last me for the rest of my life.
or
>5) people are finding them difficult to use.
To some degree..but that is part of the fun, imo.
>Sometime in the near future I'll try to post some tips that will
>make it easier to use the formulas I have posted and will post.
That would be helpful...
>>But then again, are the best pictures generated from obscure
>>formula?
>
>No. The best pictures are created from well-known formulas
>by artistically gifted people.
True
>Paul Carlson
David
davides@pipeline.com
Back up my hard drive?
How do I put it in reverse?
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------------------------------
Date: Tue, 7 Apr 1998 21:37:59 -0500
From: "Earl Simpson" <esimpn@intcomm.net>
Subject: Re: (fractint) Formula Life Cycle
Paul Carlson wrote concerning the life cycle of a formula:
- -
>This discussion comes at a good time for me, since I've
>been wondering about all the formulas I've been posting
>lately. I'd really appreciate some feedback, be it pro
>or con.
>This message has gotten almost as long as my formulas. :)
>Thanks for reading - hope to hear from some of you.
>
>Paul Carlson
>
And I reply, thanks Paul for all of your great formulas and pars. I'm a
newbie to the group, but your listings along with Linda's are two of my
favorites. And rest assured, that as I get time, I am working (playing or
whatever the case maybe) with them.
Earl Simpson
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------------------------------
Date: Tue, 07 Apr 1998 20:01:24 -0700
From: Wizzle <wizzle@cci-internet.com>
Subject: Re: (fractint) Matrox problems...
Not to mention that my DOS Boot sector somehow got corrupted on my NT
machine and our network folks say the only solution is to wipe the hard
drive clean and start from scratch!! This is common, I believe.
At 10:19 AM 4/7/98 -0500, you wrote:
>Ryan,
>
> - Why not just dual boot between both operating systems?
>
<<snipped>>
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------------------------------
Date: Tue, 07 Apr 1998 20:16:21 -0700
From: Wizzle <wizzle@cci-internet.com>
Subject: Re: (fractint) Matrox problems...
Damien...
I believe the answer to this question is that low-tech solutions are only
acceptable to users. Just to vector the discussion back to Fractint....I've
seen this same mind set operate when "wish list" discussions emerge.
There is little interest in useful, but less than state of the art ideas.
Multi-processing client push/pull/whatever...for example... complex ideas
get lots of play.....more fun, I suspect.
I work for a very high tech company. We churn in endless meetings trying
to develop an "elegant" .....but costly either in terms of time or dollars
......solution to very simple problems. Usually sanity prevails because no
one can tolerate the techy solutions cost. But it always seems to be a real
disappointment!!!
Angela
\ Why put up with that inconvenience just for the
>privilege of running NT? When a single operating system--Windows 95--will
>do the job sufficiently for a _home_ system?
>
>I'm not knocking NT--it has its uses--I just don't like people pushing a
>product on a person, or a complicated system, when they don't really need
>it. People don't want to fiddle with operating systems, they want to work
>and play. I once overheard a salesman sell a woman PageMaker because she
>wanted to write a few letters... I had to leave before strangling the man. :)
>
>Damien M. Jones \\
>dmj@fractalus.com \\ http://www.icd.com/tsd/ (temporary sanity designs)
> \\ http://www.fractalus.com/ (fractals are my hobby)
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------------------------------
Date: Tue, 07 Apr 1998 20:29:56 -0700
From: Wizzle <wizzle@cci-internet.com>
Subject: Re: (fractint) New Colormaps
Tim....
As I understand it, your comment seems to provide a valid reason to always
retain both formats.
Being the bottom line person that I am, I would suspect that those of us
who live and breathe fractals will be perfectly happy to devote the hard
drive or other space required to retain a large number of maps. The .par
concept is a really nice one to distribute more color schemes to those
"test driving" Fractint and fractals.
I can't see any reason why we are required to make hard and unacceptable
choices on this issue. We just need to balance maps/pars bundled with the
next Fractint release, I think. On a very simple level we could retain the
default maps, select 2 maps from each of the categories at random (they
are all winners anyway) in the map format and provide the rest as pars.
Another low-tech solution from the House of Wizzle!!! <<grin>>
Angela
At 07:12 PM 4/7/98 -0600, you wrote:
>Lee wrote:
>
>>I suggest two further color options when creating pars:
>>
>> 1) Colors-only (default=no)
>> This could also be put into sstools.ini when user wants do do a bunch
>> this way via makepar.
>
>Ahhh ... what does this option do?
>
>> 2) Interpolate Colors (default=yes)
>>
>> This would allow the par-maker to insure exact colors in those rare
>> cases where the color pars are interpolated differently from the actual or
>> map file colors.
>
>Again I don't understand. How do I guarantee exact colors? The only
>way I know to do this is to use map files.
>
>For the uninitiated, be aware that the algorithm that encodes and
>compresses colors when writing the colors= line in PARS is not 100%
>accurate. There are cases where it is off a bit. Perhaps some of the
>experienced folks could upload a map which when saved in a PAR as
>colors= and then converted back does not give exactly the correct
>result.
>
>This is not generally a concern but could be an issue for very
>critical work. So far no one has been able to identify exactly when
>the algorithm rounds the wrong way so it could be fixed.
>
>Tim
>
>
>-
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>
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------------------------------
Date: Tue, 07 Apr 1998 20:56:59 -0700
From: Wizzle <wizzle@cci-internet.com>
Subject: Re: (fractint) Formula Life Cycle
At 08:33 PM 4/7/98 -0500, you wrote:
>This discussion comes at a good time for me, since I've
>been wondering about all the formulas I've been posting
>lately. I'd really appreciate some feedback, be it pro
>or con.
>
<<snipped>>
>Paul Carlson
Paul....
For myself, one of the reasons that you don't see me posting many pars
using your formulas (or Kerry's or others of the newer type) is because
they are most definetly among my best work. No question!!!
I've often sat totally stunned in front of my monitor .....amazed at the
splendid images produced from your formulas. Also....I absolutely adore
your colors. They are very "Paul" and produce rich and juicey images. I've
saved and modified almost every variation you've posted using more "wizzle"
colors. Actually, my own pallet has changed considerably since I've been
studying your color maps.....they are always so technically interesting.
Also....aside from the "greed" aspect of keeping my best stuff to
myself.....I seem to get such a glut of great images that I don't seem to
have time to figure out which I should post as pars. Instead I plan to
reveal them little by little on my web page. I'm in the enviable position
of being able to put together rotating offerings based on a theme.....I've
been planning to do a more or less monthly gallery with the following themes
1. Julias
2. Crosses and other designs based on a theme of 4
3. Mandelas
4. Swirls
5. 5, 6 and 7 sided images
Another index.....before I discovered this list...my average output of good
images was about 100 or less per month. Since I've had the new formulas to
work with my average output has increased to 250+ images per month.
My comments are applicable to all the complex formulas posted here....thank
you so much Paul, Paul and Kerry!!!!
And I've certainly also enjoyed the wonderful offerings from everyone else
as well. All in all I'd say the formulas posted to this list since I joined
in December have been exceptional.
Now....I can't make that same statement about many of the formulas
available at Spanky for download. My observation is that some collections
are just dogs. I've deleted those when I've had a chance. It seems to me
that simple or complex formulas are not the test.....some folks just have a
better gift for formula writing. And thank heavens!!! I've got none!!! But
I can produce a pretty nice color map. And some of you can do nifty
programming.......so together we generate a nicer fractal world.
It is my very great pleasure to have discovered this list.
Angela
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------------------------------
Date: Wed, 8 Apr 1998 00:05:02 -0400
From: "Marie Drozdis" <mariedrozdis@worldnet.att.net>
Subject: Re: (fractint) Photoshop 4.0 free
In my case, my university hospital has a computer store on campus. Many
institutions have computer services that can get one for you.
Or, try Surplus Direct, <www.surplusdirect.com> which carries academic
software. [I saw CorelDraw8 in their recent flyer.]
Other companies do, too. In that case, you need to provide proof of
affiliation, and may pay a few dollars more. Still, it's a bargain over the
retail price.
These programs are excellent for importing fractals and making them even
more imposing.
Marie :)
- -----Original Message-----
From: davides <davides@pipeline.com>
To: fractint@lists.xmission.com <fractint@lists.xmission.com>
Date: Tuesday, April 07, 1998 5:21 AM
Subject: Re: (fractint) Photoshop 4.0 free
>At 08:35 PM 4/6/98 -1000, you wrote:
>On 5 Apr 98 at 16:22, Marie Drozdis wrote:
>
> If any of you work for an academic institution, you
> can get the *full* CorelDraw8 program in an academic
> edition (meaning without manual) for around a hundred
> dollars.
>
>Does one request the program directly from Corel? Or must one go through
>the institution? In my case it would be U. of Md...
>
>davides@pipeline.com
>Back up my hard drive?
>How do I put it in reverse?
>
>-
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------------------------------
Date: Tue, 07 Apr 1998 21:46:48 -0700
From: Wizzle <wizzle@cci-internet.com>
Subject: (fractint) Simple vs. Complex Formulas
Now and then....well... more often then...I talk too much. Here is a par
based on one of Paul Carlson's formulas that says it all for me....just
great stuff!! With a new color map from me in the wizzle style of real
shiney....
paul_swirl { ; wizzle 4/7/98 from a P. Carlson formula
; new 2graypnk.map
reset=1960 type=formula formulafile=*.frm
formulaname=Newton_3Way
center-mag=-6.66134e-016/6.66134e-016/1.283601/1.3333/27.499
params=1/4/0.5/0.5/2/125 float=y maxiter=252 inside=253 outside=summ
viewwindows=1/1/yes/0/0
colors=000005<54>ZchZchZbg<68>005A00<69>yltzmuzmt<52>A00_G2ZF0
}
Since Paul's formula was just posted a few days ago, I'm not re-posting it
here but can supply it on demand.
Angela
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------------------------------
Date: Tue, 7 Apr 1998 22:35:43 -0600
From: Ray Montgomery <elmont@cdsnet.net>
Subject: (fractint) Learning Experience
Linda
You are an exceptional teacher - and - an exceptional person.
It will take a while before I feel like I REALLY know what I'm
doing, but you have given me my first GIANT step - and I feel that, at last,
I can start contributing to what I am doing - not just sit here pushing buttons.
Thanks a lot.
Ray
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------------------------------
Date: Tue, 07 Apr 1998 22:42:02 PDT
From: "Paul Derbyshire" <pgd73@hotmail.com>
Subject: Re: (fractint) Herman rings?
>Great! Now what are Siegel disks? :)
Shit... (perhaps I should add a Julia Set guide to my webpage?)
Julia sets from the border of the M-set "between" buds...
Try these:
Siegel-1 {
reset=1960 type=lambda passes=1 center-mag=0.5/0/0.6666667
params=-0.7373688780783196/-0.675490294261524 float=y
maxiter=1048576 inside=0 logmap=yes
colors=000F0K<59>T0bU0cU0cV1cV2d<60>zzzzzzzzy<60>zz1zz0zy0yx0<58>G2JF0KF\
0KF0KF0K
}
Siegel-2 { ; Jay Hill
; params=exp(2*i*pi*a), a=(sqrt(3.)-1.)/2.
reset=1960 type=lambda center-mag=0.5/6.66134e-016/0.9861933
params=-0.666130923602528/0.745834829315743 float=y
maxiter=1048576 inside=0 logmap=yes passes=1
colors=000F0K<29>i0xk0zj0z<29>20z01z01z<30>0Uz1Vz3Wz<28>xxzzzzzzx<59>zz1\
zz0zy0yx0<56>I4IH3JG2JF0KF0KF0KF0K
savename=Siegel2
}
Siegel-3 { ; Jay Hill
; params=exp(2*i*pi*a), a=(sqrt(7.)-1.)/2.
reset=1960 type=lambda center-mag=0.5/6.66134e-016/0.9861933
params=0.442057568870217/-0.896986680951592 float=y
maxiter=1048576 inside=0 logmap=yes passes=1
colors=000F0K<29>i0xk0zj0z<29>20z01z01z<30>0Uz1Vz3Wz<28>xxzzzzzzx<59>zz1\
zz0zy0yx0<56>I4IH3JG2JF0KF0KF0KF0K
savename=Siegel3
}
Siegel-Bof61 { ; Since it's the _inside_ of these sets that's
interesting
; Uses one of my standard working colour maps
reset=1960 type=lambda passes=2
center-mag=0.5/0/0.9861933
params=-0.7373688780783196/-0.675490294261524 float=y maxiter=1023
inside=bof61 outside=255 logmap=yes
colors=000<34>x00z00z00<57>zU0zV0zW0zX0zZ0<16>zx0zz0yz0<30>2z00z00y1<33>\
02x00z00z<31>W0zW0yV0w<33>000
}
- --
.*. "Clouds are not spheres, mountains are not cones, coastlines are not
- -() < circles, and bark is not smooth, nor does lightning travel in a
`*' straight line." ------------------------------------------------
-- B. Mandelbrot | Paul Derbyshire (PGD) ao950@freenet.carleton.ca
______________________ ____|_____________ pderbysh@chat.carleton.ca
Programmer & Humanist | ICQ: 10423848 | http://chat.carleton.ca/~pderbysh
______________________________________________________
Get Your Private, Free Email at http://www.hotmail.com
- -
- ------------------------------------------------------------
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------------------------------
Date: Tue, 07 Apr 1998 22:49:06 -0700
From: kathy roth <kroth@well.com>
Subject: (fractint) Formula Life C..
Kerry Mitchell wrote:
>I think that, in general, a "good" formula should be simple. The basic
>calculation should be able to be performed in any high-level language,
>without "if/then" constructs.
One of the things that first attracted me to this was
the fascination that a simple formula could result in such
an amazing complex array of things. I do have the feeling
of exploring something that already "exists", like especially
with the 4-D Julibrot. (Not that that negates anyone's copyright-
maybe it's like owning land. I "own" some land and animals, and
I don't really believe in owning them but no one else is going to
come here and put in a development or whatever!)
Paul Carlson wrote:
> And although a few people posted some very
>nice images using my formulas or variations of them, the number
>has been few enough that I've wondered at times if:
>1) there is enough interest in these types of formulas, or
>2) people are put off by the size of the formulas (with all
the IF-ELSE statements), or....
I've been very interested in them, and I like the extended commentaries,
& am just getting to the point of understanding some of it. I always
fool around with them and come up with some nice pars, but they're
usually not too different from the original. The IF_ELSE statements
seem simpler than the indirect way of doing it that came before.
So I don't think the relative lack of pars is a reflection of a lack of
interest. It's more like if someone showed you the Mona Lisa you
wouldn't recolor it and say "Oh I like it better in tan!"
Seriously, there are great simple formulas and long IF-ELSE
formulas and there is no need to compare or choose. It's like
choosing between an accoustic guitar and an orchestra, or a beautiful
simple charcoal drawing and Fractint- there's good or bad in both.
- -
- ------------------------------------------------------------
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------------------------------
Date: Wed, 8 Apr 1998 00:56:03 -0500 (CDT)
From: pjcarlsn@ix.netcom.com (Paul and/or Joyce Carlson)
Subject: (fractint) Generalized Halley Mset Formula
comment {
This formula is actually four different Halley Mset formulas,
selected by setting real(p3) to 1, 2, 3 or 4. The pars
below all have the exponent, real(p1), set to 4 because, as
you probably know, I'm partial to images that have a little
midget in their center, and only z^4 Halley images have
the midget classic Mandelbrots in them. These formulas do
not use any special rendering method so the images have no
3D effect. The colormap I've used, although simple, does
produce Halley images that I think are quite pretty.
To get an overall view of the Msets of any of the four formulas,
start one of the pars for the formula, then press the 'z' key,
then the 'F6' key, then the 'F4' key, then the 'Enter' key twice.
Once the image restarts, you can display a greater area if you want
by bringing up the zoom box, reducing it in size, and hold down the
'Ctrl' key while you press the 'Enter' key.
Many Halley images look very nice using the boundary trace method.
Try this: start the hal4_1_1 par, then press the 'e' key and change
color 1 to black. When the image resumes press the 'x' key to bring
up the Basic Options window and change Passes to 'b', Inside color
to '1' and Fill color to '1'. This will give you a good idea of what
a boundary traced Halley Mset looks like (it would probably look
much better with a different colormap).
Paul Carlson
}
frm:Halley4_Mset {; Copyright (c) Paul W. Carlson, 1998
; Parameters:
; real(p1) = exponent of z (use integers, 4 thru 9)
; imag(p1) not used
; p2 = relaxation factor (usually (1,0) )
; real(p3) = 1, z^p1 - z - c = 0 (default)
; = 2, z^p1 - z - c^2 = 0
; = 3, z^p1 - c*z - c^2 = 0
; = 4, z^p1 - c*z - c^4 = 0
; imag(p3) not used
;
c = pixel
c2 = c * c
z = 0
p = real(p1)
s = real(p3)
IF (s == 2)
a = 1
b = c2
ELSEIF (s == 3)
(s == 2)
a = c
b = c2
ELSEIF (s == 4)
a = c
b = c2 * c2
ELSE
a = 1
b = c
ENDIF
pm1 = p - 1
pm2 = pm1 - 1
ppm1 = p * pm1
:
fnc = z^p - a * z - b
der1 = p * z^pm1 - a
der2 = ppm1 * z^pm2
k = p2 * fnc / (der1 - der2 * fnc / (der1 + der1))
z = z - k
|k| > 0.00000001
}
hal4_1_1 {; Copyright (c) Paul W. Carlson, 1998
reset=1960 type=formula formulafile=halley4.frm
formulaname=halley4_mset passes=1
center-mag=-17.25916734130114000/+0.00000000000000176/12656.11/1/90
params=4/0/1/0/1/0 float=y maxiter=1000 inside=0
colors=000e00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00o\
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o00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGo
}
hal4_2_1 {; Copyright (c) Paul W. Carlson, 1998
reset=1960 type=formula formulafile=halley4.frm
formulaname=halley4_mset passes=1
center-mag=+0.00000000000000011/-4.17101362238117700/1.393827e+007
params=4/0/1/0/2/0 float=y maxiter=1000 inside=0
colors=000e00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00o\
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o00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGo
}
hal4_2_2 {; Copyright (c) Paul W. Carlson, 1998
reset=1960 type=formula formulafile=halley4.frm
formulaname=halley4_mset passes=1
center-mag=+0.00000000000000011/-4.17101362268690400/3.287327e+007
params=4/0/1/0/2/0 float=y maxiter=1000 inside=0
colors=000e00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00o\
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o00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGo
}
hal4_2_3 {; Copyright (c) Paul W. Carlson, 1998
reset=1960 type=formula formulafile=halley4.frm
formulaname=halley4_mset passes=1
center-mag=-0.00000000000000001/-0.77195452543939210/465509.3
params=4/0/1/0/2/0 float=y maxiter=1000 inside=0
colors=000e00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00o\
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o00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGo
}
hal4_2_4 {; Copyright (c) Paul W. Carlson, 1998
reset=1960 type=formula formulafile=halley4.frm
formulaname=halley4_mset passes=1
center-mag=-0.00000000000000033/+0.66721828411334540/3.438981e+009
params=4/0/1/0/2/0 float=y maxiter=1000 inside=0 invert=1/0/0
colors=000e00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00o\
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o00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGo
}
hal4_2_5 {; Copyright (c) Paul W. Carlson, 1998
reset=1960 type=formula formulafile=halley4.frm
formulaname=halley4_mset passes=1
center-mag=-0.00000000000000001/+1.20256741276355600/164133
params=4/0/1/0/2/0 float=y maxiter=1000 inside=0 invert=1/0/0
colors=000e00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00o\
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o00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGo
}
hal4_3_1 {; Copyright (c) Paul W. Carlson, 1998
reset=1960 type=formula formulafile=halley4.frm
formulaname=halley4_mset passes=1
center-mag=+0.00000000000001066/-3.05258092230195400/2167.722/1/180
params=4/0/1/0/3/0 float=y maxiter=1000 inside=0
colors=000e00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00o\
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o00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGo
}
hal4_3_2 {; Copyright (c) Paul W. Carlson, 1998
reset=1960 type=formula formulafile=halley4.frm
formulaname=halley4_mset passes=1
center-mag=+0.00000000000001066/-3.05249746854468900/5112.551/1/180
params=4/0/1/0/3/0 float=y maxiter=1000 inside=0
colors=000e00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00o\
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o00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGo
}
hal4_3_3 {; Copyright (c) Paul W. Carlson, 1998
reset=1960 type=formula formulafile=halley4.frm
formulaname=halley4_mset passes=1
center-mag=+0.00000000000001066/-3.05249534548110400/11114.24/1/180
params=4/0/1/0/3/0 float=y maxiter=1000 inside=0
colors=000e00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00o\
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o00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGo
}
hal4_3_4 { ; Copyright (c) Paul W. Carlson, 1998
reset=1960 type=formula formulafile=halley4.frm
formulaname=halley4_mset passes=1
center-mag=+0.00000000000001066/-3.05258092230195400/2167.722/1/180
params=4/0/1/0/3/0 float=y maxiter=1000 inside=0
colors=0000e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe00tU0zz00e00oo00eUGoe0ee0\
0tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee0\
0tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee0\
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0tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee0\
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0tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee0\
0tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee0\
0tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee0\
0tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee0\
0tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz0
}
hal4_4_1 {; Copyright (c) Paul W. Carlson, 1998
reset=1960 type=formula formulafile=halley4.frm
formulaname=halley4_mset passes=1
center-mag=-6.10516452412834000/+2.52884255890206900/7721.489/1/112.5
params=4/0/1/0/4/0 float=y maxiter=1000 inside=0
colors=000e00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00o\
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o00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00o\
o00eUGoe0ee00tU0zz00e00oo00eUGoe0ee00tU0zz00e00oo00eUGo
}
- -
- ------------------------------------------------------------
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End of fractint-digest V1 #160
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