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Subject: fractint Digest V1 #26
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fractint Digest       Thursday, October 9 1997       Volume 01 : Number 026



In this issue:

    Re: (fractint) Remove Int math ?
    (fractint) Administrator out of town
    Re: (fractint) Real-vs-Integer
    (fractint) (Fwd) BOUNCE [e-mail]:    Non-member submission f
    (fractint) Conformal Mappings and Beautiful Mandelbrots
    (fractint) Re:
    Re: (fractint) Real-vs-Integer
    (fractint) DOS Versions of Fractint
    (fractint) TYPE=JULIBROT

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

Date: Wed, 8 Oct 1997 20:27:17 -0500
From: [e-mail]
Subject: Re: (fractint) Remove Int math ?

Hey Thierry.
I checked out your fractal you sent out.
It "was" different in FP! I also used Bio-morph (256) and it looked
pretty cool.

I'm not sure what you mean by posting the parameters, maybe you could
explain it or send an example.
Anyway, thanks for trying the one I sent out.
Here is another:

Egg (xaxis) { ; M.L. Newsted Jr.
    z = 0
    c = pixel
    d = pixel:
    z = (z*z + c) / d
    }

Well, see ya.
Hey What's the weather like in Toulouse?

"...God is in the details..." Linus C. Pauling


Nuke

On Wed, 8 Oct 1997 15:10:49 -0400 Thierry Boudet
<[e-mail]> writes:
>            Hello World.
>
>
>I'm using Fractint 19.6 on a 486dx33/CGA. I have make a few
>tests on my configuration. In general, float is faster or
>equal than integer, but there was differences between the
>two modes. Recently M.L. Newsted Jr. have posted a little
>formula who behave differently in int or in float.
>
>And I'm working on a long term project with this formula :
>
>-----------------------------------------------------------
>frm:rand_generic {  ; ****   PARAMETER 1 MUST BE > 0   ****
>                ; Thierry Boudet 101355.2112ompuserve.com
>                ; 19 Juillet 1997
>                z = rand:
>                z = fn1(z) + fn2(pixel);
>                |z| <= real(p1)
>                }
>-----------------------------------------------------------
>
>who works very fine (for me :-) in integer mode, but is
>completly broken in float mode...
>
>Here is a sample parameter. Try it in real and integer
>mode, and play with the formula. rand seems broken in
>float mode.
>
>-----------------------------------------------------------
>demo_of_rand_bug   { ; created Oct 08, 1997 in Toulouse
>  reset=1960 type=formula
>  formulaname=rand_generic function=recip/sqr passes=1
>  center-mag=0.0260181/0.0209436/0.5956599 params=6/0
>  inside=zmag outside=real biomorph=64
>  }
>-----------------------------------------------------------
>
>May be with only one math mode in Fractint, this type of
>problems will go in a "bug-eater-black-hole" ...
>
>
>        Best regards from Toulouse, France.
>
>        Thierry Boudet.
>
>
>
>
>------------------------------------------------------------
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>Unsubscribe:    [e-mail] "unsubscribe fractint"
>

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

Date: Wed, 8 Oct 1997 22:48:15 -0600
From: "Tim Wegner" <[e-mail]>
Subject: (fractint) Administrator out of town

Yeah I know I said list administration issues were off topic, but
here I go violating my own suggestion <grin!> Actually I overstated
the case, there probably are some list administration messages of
general interest that would be on topic. Hmm ... if all list
administration messages are off topic, then a message stating that as
the policy would be off topic <heh heh!>

I'll be out of town until Sunday. The list can go on merrily as
always, I'm just alerting you all in case anyone needs any special
list administration services. I won't be able to help with any
special requests until Sunday.

Just a reminder, this list only accepts postings from addresses that
majordomo recognizes as a fractint list subscriber. Sometimes
postings bounce because folks have posted from a different account,
or from some reason the return address is different than the
subscribed email address. For isolated cases I usually just post such
bounced messages by hand, so you may not have noticed. When I'm
really on the ball I also let folks know it happened, especially if
it happens several times. This is not a big problem for most people,
although it was bothersome for a couple of folks who have "anti-spam"
return addresses.

Tim

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

Date: Wed, 8 Oct 1997 17:13:55 -0700
From: "Jay Hill"<[e-mail]>
Subject: Re: (fractint) Real-vs-Integer

Nuke wrote:
>Did anyone try my deranged m-set NukerBrot?
I did and here is my reply, second try, first one is lost in bitspace.  :-(

There is a one to one mapping of the regular Mset to this view. Everything
is there, just jammed into a different space.

Jay

10/7/97
Newsted wrote about his nuke formula.  I played with that some years ago.
It is simpler to do this:

frm:Nuke2 (xaxis) { ; Jay Hill
     z = 0, c = pixel:  ; basic mandel up to here
     z = (z*z/c + 1)   ;  insideout eye shaped MSet
     }

nuke2_view         { ; Jay Hill
  reset=1960 type=formula formulafile=nuke2.frm formulaname=Nuke2
  center-mag=1.34919/5.96e-006/0.4962412
  colors=0D0000<15>9Tx<22>36Q25P24N13M12K00I<15>001000000<2>800B00F10<4>T3\
  0W40Z50a60c70<2>jB0lC0mD0oE0<2>tJ0vK0wM0xN0<4>zV0zW0yT0<2>sJ0qF0nE0mE0<6\
  >T50Q30O30<3>E10C00B00<10>100000100200<5>B0AD0CE0F<20>k0w<7>N0QK0MJ0L<17\
  >401000<2>010020040<26>0d00f00e0<23>0B0090080060050030020000000
  }







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

Date: Wed, 8 Oct 1997 22:48:15 -0600
From: "Tim Wegner" <[e-mail]>
Subject: (fractint) (Fwd) BOUNCE [e-mail]:    Non-member submission f

From: "Jay Hill"<[e-mail]>
To: [e-mail]
Date: Wed, 8 Oct 1997 14:53:32 -0700
Subject: Re: (fractint) MFC vs. OWL

I was shocked to learn a few months ago that
Microsoft C++ does not support 80bit long double floats!
I asked on the C++ newsgroup and it was confirmed.
So why would Fractint move to the current VC++
and take a hit like that?

What is the corresponding support from Borland C++ 5.0x
Borland C++Builder?   Watcom C++? DJGPP compiler?

Jay





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

Date: Thu, 9 Oct 1997 00:40:16 -0400 (EDT)
From: [e-mail] (Paul Derbyshire)
Subject: (fractint) Conformal Mappings and Beautiful Mandelbrots

Ever noticed a sort of beauty and symmetry to mandelbrots and fractals
from complex number formulas lacking in real-real formulas like some of
the ones in The beauty Of Fractals? My suspicion has been it is because
complex mappings are conformal: right angles are preserved.
For instance, look at the square of (a+bi). The real part is a^2-b^2, the
imaginary part 2ab. These equations both describe hyperbolas; the families
of hyperbolas defined setting x^2-y^2 const and 2xy const are orthogonal
families, they cross at right angles. An idea of mine has been this:

Start with an implicit differential equation. dy/dx=f(x,y). Solve it. (Yes
this can be tough.) Then solve the inverse dy/dx=-1/f(x,y). Their
solution sets will be orthogoanl families of curves. Or, get a function
such as f(x,y)=const. Get dy/dx. Negate and invert and solve the differential
equation as before to get a curve family g(x,y)=const orthogonal to the curves
f(x,y)=const.


Now imagine defining a map from R2 (real by real cartesian plane) to R2 by
x'=f(x,y), y'=g(x,y). This is a conformal map. A combination of several
such conformal maps and adding a paremeter or three might produce
worthwhile Julia/Mandelbrot sets.

For example, take the ellipses x^2+2y^2=const. 2x=-4y(dy/dx) so dy/dx is
- -x/2y. Put dy/dx=2y/x =-1/(-x/2y). This is separable: dy/2y = dx/x.
Integrate both sides: 1/2ln |y| = ln |x| + C   or, taking exponentials of
both sides, root y = xe^c or y=Kx^2, a family of parabolas.
So the mappings would be: x'=x^2+2y^2, y'=y/x^2 (solving for K=y').
Try them out I'd love to hear the results.


- --
    .*.  Where feelings are concerned, answers are rarely simple [GeneDeWeese]
 -()  <  When I go to the theater, I always go straight to the "bag and mix"
    `*'  bulk candy section...because variety is the spice of life... [me]
Paul Derbyshire [e-mail], http://chat.carleton.ca/~pderbysh

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

Date: Wed, 8 Oct 1997 20:15:42 -1000
From: "Shauna Jones" <[e-mail]>
Subject: (fractint) Re:

On  7 Oct 97 at 16:33, [e-mail] spoke about :

> It seems that ediingt formulas and such could be done alot easier and
> faster using pop-up windows for entering new information.

Agreed ...

> Plus, I wouldn't have to close fractint and edit my formula (simple
> as they are) and re-open fractint, select display, type etc... I
> could just leave Fractint open and maximize, edit,minimize, then
> try my changes. This would be great for us who use trial and error
> more than mathematical planning.

I don't have that problem. Of course, I use OS/2 ...

Whatever revisions happen to Fractint, I hope it will still run in a
DOS session under OS/2.

Another blast of bits from David
Visit our boring web page: http://www.aloha.net/~shauna
Visit the Hawaii Astronomical Society: http://www.hawastsoc.org
For the best Hawaii & Pacific Basin surf forecast: mailto:[e-mail]

Random Thought for this Nanosecond
If at first you don't succeed, then skydiving isn't for you.



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

Date: Wed, 08 Oct 1997 18:44:28 -0500
From: Justin Kolodziej <[e-mail]>
Subject: Re: (fractint) Real-vs-Integer

>I don't have the time,
>or
>recall my complex math well enought to figure it out, but the Nuke may
>be
>arithmetically the same as the inverted Mandelbrot.  Maybe someone
>else
>will let us know.
>
>--
>Mike Traynor


I worked on the formula a bit, and came up with the following:
z(n+1)=(z*z)/c + 1
or, if you substitute 1/c for c,
z(n+1)=c*z*z + 1
This last formula is the same (I hope) as inverting the original by a circle
centered on (0,0) with radius 1.  The resulting picture looks like the
M-set, but why would that be? Any Ideas?

Justin Kolodziej

"I only use Windows because:
1. Solaris doesn't run on PCs :(
2. I can't afford a Sun and I'd have to buy a server AND a workstation
 :( :(
3. When's the last time YOU saw an X-Windows app in your local computer
store? ;) "




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

Date: Thu, 9 Oct 1997 22:34:38 +0000
From: "Ethel MacKay" <[e-mail]>
Subject: (fractint) DOS Versions of Fractint

We are new to the Fractint mailing list and although we do not
understand most of what you have been talking about, because we
don't write fractal formulas and such, we just wanted to put our two
bits in about whether Fractint should continue in DOS versions in
future.
We say yes, continue to ALWAYS make DOS versions!

There are probably many people like us that prefer the simplicity of
DOS Fractint versions over Windows or who don't have pcs
that are up to running resource hungry Windows versions.
My 64 year old husband is the main Fractint user here.
 I taught him to use the computer and run Fractint when he read
Chaos theory and got interested in the Mandlebrot Set.
He started with version 17.1 and now has version 19.6.
He tried the Windows Version and he hated it. The Windows
themselves kept distracting him and he soon went back to the DOS
version. We started running fractals on a 386 and now have a Pentium
133 with lots of memory.
To summarise: DOS programs in the case of Fractint (and Povray) are
much easier to use for people who are not all that happy about using
computers but use them only because there are programs like Fractint
(and Povray) for DOS which they get great enjoyment from.
Regards to all,
Ethel MacKay

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

Date: Thu, 09 Oct 1997 17:07:56 +0200
From: [e-mail] (Guy Marson)
Subject: (fractint) TYPE=JULIBROT

- --=====================_876434876==_
Content-Type: text/plain; charset="us-ascii"

Hi,

In the Fractint Wish-list Justin Kolodziej asket for "no more integer math"...
The poorly known TYPE=JULIBROT fractals are able to build beautiful 3d
stereo-pairs, but only in integer-math. Setting the FPU=ON, causes flat 2d
fractals (except for those orbits wich use functions like sin, cos, tan and
cotan). To give you an idea, I attachet a .par file to this mail..
Sorry, but all the Julibrots are very slow-running even on a P200! To see
the difference, switch on and of the FPU with the letter <F>. If you like to
see the fractals 3-dimensional, the stereo-pairs and/or the 2x3 and 5x5
pairs must be fused like the "magic-eye" pictures that means, with the eyes
in parallel or, if indicated, with the eyes crossed, that means: the left
eye is looking to the right side and the rigth eye is looking to the left
side.. be patient, it mostly works after a while  8~(   -   :)

To build some "parallel-eyes" 3d fractals, the "Z" screen option <depht of
z> must be negative, a positive number for <depth of z> builds
"crossed-eyes" 3d fractals..

So please Stone-Soupers keep up the option: FPU ON/OFF.. even if the
difference (in the JULIBROTS: FPU ON/OFF) results in a programming fault do
not correct this "fault"

thanks in advance!

enjoy experimenting with the JULIBROTS.. ;)

Guy

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- --=====================_876434876==_
Content-Type: text/plain; charset="us-ascii"



Fungi for fun = FunGUY... @:-]

(Guy Marson, 45b, rue de Bettembourg, L-5810 Hesperange)
(Tel./Fax : [phone])  e-mail: [e-mail]

- --=====================_876434876==_--


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