ftp.xmission.com/2014.06.ftp.xmission.com.tar/ftp.xmission.com/pub/lists/fractint/archive/fractint.200008

Internet Message Format | 2000-08-31 | 290KB

From: John R Goering <[e-mail]>
Subject: Re: (fractint) FOTD 01-08-00  (Seahorse Valley [5])
Date: 01 Aug 2000 22:28:27 -0400


On Mon, 31 Jul 2000 22:23:41 -0400 (EDT) Jim Muth <[e-mail]>
writes:

> The formula that drew the image and will draw many more FOTD's
> this month of August was posted to the Fractint list last July
> by John Goering.  It is the only formula that draws all possible
> oblique angles through the 4-D Julibrot.

John Goering responds:

While this formula is able to slice the 4-D Julibrot at many different
angles (including slices that are parallel to each of the six coordinate
planes), unfortunately, I have not proven that it can slice at all
possible angles.  4-D space is much more "vast" than 3-D space, and it is
difficult (maybe impossible for us mortals?) to visualize complex
rotations in that space.

When I developed the SliceJB formula, I despaired of ever understanding
what goes on when a plane is rotated in 4-D.  So I did all of the math
work using rotations in 2-D.  Since I took this simpler approach, I
suspect that this formula cannot produce all possible orientations in
4-D.

Thank you, Jim Muth, for the fantastic pictures that you have been
producing.

Yours truly,
John Goering

View a Mandelbrot set image gallery at
http://homestead.juno.com/johnrhg/files/IntroMandelbrot.html
John Ralph H. Goering
[e-mail]
Jesus says, "Behold, I am coming soon!" (Revelation 22:12, NIV)

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From: [e-mail]
Subject: (fractint) FOTD  02-08-00,  (The Wrong Way Fractal [5])
Date: 02 Aug 2000 00:38:58 EDT


FOTD -- August 02, 2000 (Rating 5)

Fractal visionaries and enthusiasts:

Despite the latest flooding of the fractal basement, I managed
to find a Fractal of the Day this afternoon.  The image is a
picture of a fairly typical midget in the southern branch of
Seahorse Valley at the coordinates -0.7751187297-0.1232311722i.
Why then does it not look like a midget?

The reason is simple.  We are viewing it from the wrong
direction.  Today's FOTD image is not a scene in the Mandelbrot
set, nor is it a scene in a Julia set.  It is a hybrid, an
Oblate set determined by real(z) and imag(c), with Mandelbrot
characteristics in the vertical direction and Julia characteris-
tics in the horizontal direction.  The name "Oblate" for the
images sliced in this direction is of my own invention.

The familiar Seahorse Valley features are there, but when seen
from this odd direction, they are distorted almost beyond
recognition.  Also in the image is one of those narrow, straight
features that I call bridges.  It crosses near the top of the
open area.

At six minutes, the parameter file is relatively fast by recent
standards.  The download of the GIF image is even faster
however, and may be found by going to the Usenet binary group:

          <alt.binaries.pictures.fractals>

or to Paul Lee's web site at:

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

The fractal weather was partly cloudy and sultry today, with a
temperature of 86F (30C).  Two thunder-storms passed over in the
afternoon, with rain so heavy that it looked like fog.  The
first started the flooding in the basement, the second finished
the job.

I have had it with water in the basement.  I'm now going to
relax and let the water go back down the same drain where it
comes in, by itself, and do no more mud mopping until the
monsoon season ends.  The problem is a too-small storm drain,
which backs up in excessive rainfalls.  The city already knows
about the situation and will replace the drain within 5 years or
so, as soon as they solve the crime problem.  Until then, they
tell me it's God's fault for sending such rain.  Meanwhile, the
fractal cats are complaining about the rain also.

Sorry philosophy-starved readers, there is no philosophy today
unless you consider a wet basement philosophical.  With even
heavier rain due tomorrow, we'll probably have no philosophy
then either.

Until next time, take care, and whistle while you work.


Jim Muth
[e-mail]


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

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                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=slices.frm
  formulaname=Oblate passes=1 periodicity=0
  center-mag=0/0/513184.1/0.2883/0/78.728
  params=-0.7751187297/-0.1232318731/-0.7751185803/-0.\
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  colors=000VG0VG0WH0<3>_L7`M8aNA<13>cZZdZ_d_ad`cdaeda\
  fdaf<2>NSfHOfCMhBLiAJlBKlCKnCKpDKpDLq<11>KNaLN_LOZ<2\
  >NOVNOUMSWLVYLWZLYZfBWcFV<3>TSTQVTNYS<3>CjQAnQ7qP4tP\
  2wP<5>Eh_Gf`Icb<3>PWiRUkTSl<3>`HsbFucDv<3>VDdTD_RDWR\
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  4yh4yg5zf<2>6zc6zc8zZ<2>EzM
  }

frm:Oblate {; Jim Muth  real(z),imag(c)
z=real(pixel)+p1,
c=flip(imag(pixel))+p2:
z=sqr(z)+c,
|z| <= 16
}

END 20.0 PAR-FORMULA FILE==================================

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

From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) FOTD 01-08-00  (Seahorse Valley [5])
Date: 02 Aug 2000 17:34:52 +1200

At 22:28 01/08/2000 -0400, John Goering wrote:

>On Mon, 31 Jul 2000 22:23:41 -0400 (EDT) Jim Muth <[e-mail]>
>writes:
>
> > The formula that drew the image and will draw many more FOTD's
> > this month of August was posted to the Fractint list last July
> > by John Goering.  It is the only formula that draws all possible
> > oblique angles through the 4-D Julibrot.
>
>John Goering responds:
>
>While this formula is able to slice the 4-D Julibrot at many different
>angles (including slices that are parallel to each of the six coordinate
>planes), unfortunately, I have not proven that it can slice at all
>possible angles.  4-D space is much more "vast" than 3-D space, and it is
>difficult (maybe impossible for us mortals?) to visualize complex
>rotations in that space.
>
>When I developed the SliceJB formula, I despaired of ever understanding
>what goes on when a plane is rotated in 4-D.  So I did all of the math
>work using rotations in 2-D.  Since I took this simpler approach, I
>suspect that this formula cannot produce all possible orientations in
>4-D.

When you originally posted the SliceJB formula, you offered to post your
derivation of the formula also. Perhaps if you did so some of us could
check your reasoning and see whether your suspicions are justified.

(Alternatively, if you don't reckon it's of general interest, you could
just email me privately.)

Morgan L. Owens
"There are only six real parameters to play with -- enough?"



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From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) FOTD 01-08-00  (Seahorse Valley [5])
Date: 02 Aug 2000 17:31:33 +1200

At 22:28 01/08/2000 -0400, you wrote:

>On Mon, 31 Jul 2000 22:23:41 -0400 (EDT) Jim Muth <[e-mail]>
>writes:
>
> > The formula that drew the image and will draw many more FOTD's
> > this month of August was posted to the Fractint list last July
> > by John Goering.  It is the only formula that draws all possible
> > oblique angles through the 4-D Julibrot.
>
>John Goering responds:
>
>While this formula is able to slice the 4-D Julibrot at many different
>angles (including slices that are parallel to each of the six coordinate
>planes), unfortunately, I have not proven that it can slice at all
>possible angles.  4-D space is much more "vast" than 3-D space, and it is
>difficult (maybe impossible for us mortals?) to visualize complex
>rotations in that space.

When you originally posted SliceJB, you offered to post your derivation of
the formula. Perhaps if you did so we could have a look to see how you
pulled it off (and whether you succeeded)?

Morgan L. Owens
"Many mathematicians write as if the answer emerged fully-fledged
Minerva-like from their head."



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

From: "Andrew Coppin" <[e-mail]>
Subject: Re: (fractint) FOTD 20-07-00 (A Eutectic Mixture [9])
Date: 02 Aug 2000 12:45:01 GMT

>From: Jim Muth <[e-mail]>
>Reply-To: [e-mail]
>To: [e-mail]
>CC: [e-mail]
>Subject: (fractint) FOTD 20-07-00  (A Eutectic Mixture [9])
>Date: Wed, 19 Jul 2000 23:55:51 -0400 (EDT)
>
>
>FOTD -- July 20, 2000  (Rating 9)
>
>Fractal visionaries and enthusiasts:
>
>No, there is no mistake.  Today's FOTD actually rates a 9 -- at
>least in my opinion.

I am in compleate agreement.

>I almost gave a
>rating of 9 to yesterday's FOTD, but now I'm glad that I settled
>for the 8, since today's picture is notably better and well
>worth the 9.

Right you are!

>I gave the coloring of today's image the extra effort that I
>failed to give yesterday's picture, and that extra effort made
>the difference, as both underlying images have about the same
>potential.

Some of the best colouring I've seen for a while!

Keep up the good work!

(I'm still wading through several weeks worth of emails here!)

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

From: "Andrew Coppin" <[e-mail]>
Subject: Re: (fractint) FOTD 27-07-00 (Lotus [4])
Date: 02 Aug 2000 12:54:25 GMT

>From: Jim Muth <[e-mail]>
>Reply-To: [e-mail]
>To: [e-mail]
>CC: [e-mail]
>Subject: (fractint) FOTD 27-07-00  (Lotus [4])
>Date: Thu, 27 Jul 2000 00:02:32 -0400 (EDT)
>
>
>FOTD -- July 27, 2000 (Rating 4)


Hmmm... I would have rated it a bit higher... I think it's very pretty!

(*still* catching up with me email...)

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

From: "Andrew Coppin" <[e-mail]>
Subject: Re: (fractint) FOTD 30-07-00 (An All-New Midget [6])
Date: 02 Aug 2000 13:00:56 GMT

>From: Jim Muth <[e-mail]>
>Reply-To: [e-mail]
>To: [e-mail]
>CC: [e-mail]
>Subject: (fractint) FOTD 30-07-00  (An All-New Midget [6])
>Date: Sat, 29 Jul 2000 22:21:08 -0400 (EDT)
>
>
>FOTD -- July 30, 2000 (Rating 6)

Very unusual. I like the combination of purple and green. Very nice!

(Only 200 emails to go now...)

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From: "Andrew Coppin" <[e-mail]>
Subject: (fractint) Branch Cuts & Julibrot Slices
Date: 02 Aug 2000 13:13:36 GMT

Hmmm... I've been doing some work with a little program called "gifcon".
I've been animating my "branch cuts" formula... Very cool stuff! I'd show
you all... but the files a rather large.

But anyway... I wonder if Jim has tried animating Julibrot slices? What does
it look like to take a Mandelbrot zoom, and animate it rotating into the
Julia plane? Surely that's gotta look pretty increadible, right? Hmm... will
try...

BTW, I've been thinking about trying to take a sequence of branch cut frames
and actually construct a 3D model of the complex exp corkscrew... Take the
frames, layer them, and remove the pixels that stay the same colour... I'll
let you know if it works!

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

From: John R Goering <[e-mail]>
Subject: Fw: Re: (fractint) Re: 2D slices of Julibrot
Date: 02 Aug 2000 16:00:34 -0400

Here is the post that I sent some time ago concerning the derivation of
the SliceJB formula (with some slight changes):

Hello to all,

Here is the mathematical derivation of the formula that I posted:

#1

First, I created the following parameterization of a plane in pqrs-space:
  p=u,  q=v,  r=0, and s=0 (where the u-axis is the horizontal axis on
the screen and the v-axis is the vertical axis).

(In my thinking, I oriented the Julibrot so that  the Mandelbrot set is
in the pq-plane and the simplest Julia set [the disk] is in the rs-plane)

Then I did a sequence of counterclockwise rotations in the following
planes: qs-plane, qr-plane, pr-plane, pq-plane.  I performed these
rotations using the following general formula for performing a rotation
in some xy-plane by some angle t: [where the point (xold, yold) is
rotated about the origin to the point (xnew, ynew)]

#2

xnew=xold*cos(t) - yold*sin(t)
ynew=xold*sin(t) + yold*cos(t)

First, the rotation in the qs-plane (where a is the angle of rotation):

#3

q=v*cos(a) - 0*sin(a)
s=v*sin(a) + 0*cos(a)

(Note that qold=v and sold=0 [see #2] according to the first
parameterization [see #1].  This rotation creates a new parameterization
for q and s.)

So now the complete parameterization of the uv-plane in pqrs-space is:

#4

p=u
q=v*cos(a)
r=0
s=v*sin(a)

Then the rotation in the qr-plane (where b is the angle of rotation and
where I substitute the "old" values for q and r from the above
parameterization (#4) into the rotation equations (#2)):

q=[v*cos(a)]*cos(b) - 0*sin(b)
r=[v*cos(a)]*sin(b) + 0*cos(b)

The new parameterization in pqrs-space then is:

p=u
q=v*cos(a)*cos(b)
r=v*cos(a)*sin(b)
s=v*sin(a)

Then the rotation in the pr-plane (where g is the angle of rotation [if
you wonder where this sequence of letters is from, I originally used the
first 4 letters of the Greek alphabet as the angles of rotation]):

p=u*cos(g) - [v*cos(a)*sin(b)]*sin(g)
r=u*sin(g) + [v*cos(a)*sin(b)]*cos(g)

So the new parameterization in pqrs-space is:

p=u*cos(g) - v*cos(a)*sin(b)*sin(g)
q=v*cos(a)*cos(b)
r=u*sin(g) + v*cos(a)*sin(b)*cos(g)
s=v*sin(a)

Then the rotation in the pq-plane (where d is the angle of rotation):

p=[u*cos(g) - v*cos(a)*sin(b)*sin(g)]*cos(d) - [v*cos(a)*cos(b)]*sin(d)
q=[u*cos(g) - v*cos(a)*sin(b)*sin(g)]*sin(d) + [v*cos(a)*cos(b)]*cos(d)

After some mathematical manipulations, the complete parameterization is:

p=u*cos(g)*cos(d) - v*[cos(a)*sin(b)*sin(g)*cos(d) +
cos(a)*cos(b)*sin(d)]
q=u*cos(g)*sin(d) + v*[cos(a)*cos(b)*cos(d) -
cos(a)*sin(b)*sin(g)*sin(d)]
r=u*sin(g) + v*cos(a)*sin(b)*cos(g)
s=v*sin(a)

Then I performed a simple shift of the origin of the uv-plane to the
point (real(p3), imag(p3), 0 ,0).  This point is in the pq-plane ( the
plane that the M-set is in).  So, theoretically, the resulting
parameterizations of p and q are:

p=u*cos(g)*cos(d) - v*[cos(a)*sin(b)*sin(g)*cos(d) +
cos(a)*cos(b)*sin(d)] + real(p3)
q=u*cos(g)*sin(d) + v*[cos(a)*cos(b)*cos(d) -
cos(a)*sin(b)*sin(g)*sin(d)] + imag(p3)

However, to simplify things, I did not really add real(p3) and imag(p3)
in the formula until I initialized the value of c

So in implementing the parameterization, I initially set z = r + s*i and
c = p + q*i + p3 (where p3 is the third parameter. Note that this adds
the real portion of p3 to p and the imaginary portion of p3 to q.)

I included the formula below so that you can compare the parameterization
with how I wrote it in the actual code.

SliceJB {; by John R. H. Goering, July 1999
;This formula produces 2D slices of the 4D Julibrot set. The numbers for
;p1 and p2 describe the rotation of the plane that slices the set (I
;call that plane the uv-plane -- the u-axis is the horizontal axis on
;the screen and the v-axis is the vertical axis). I call the 4 axes
;in 4-space the p, q, r, & s axes. The M-set is in the pq-plane and the
;J-sets are in the rs-plane and planes "parallel" to it. The rotation
angles
;are to be entered as fractions of pi (e.g., pi/4 would be entered as
0.25).
;At first, the uv-plane is identical to the pq-plane.
;Then the rotations are performed counterclockwise in each plane as
follows:
;First: real(p1)--the rotation in the qs-plane.  Then imag(p1)--qr-plane.
;real(p2)--pr-plane. imag(p2)--pq-plane.
;The origin of the resulting skewed uv-plane is then placed at the point
;(real(p3), imag(p3), 0, 0) in pqrs-space. To create the M-set, leave the
;parameters alone, or you may change p3 to change the position of the
M-set
;on the uv-plane.
;To create a J-set, set real(p1)=real(p2)=0.5, then set p3 equal to the
;constant for the J-set (let imag(p1)=imag(p2)=0).
;The parameters for p1 and p2 that are needed to put the uv-plane
parallel to
;the various coordinate planes are as following (the numbers are given in
the
;order -- real(p1), imag(p1), real(p2), imag(p2) ):
;pq-plane: 0, 0, 0, 0   pr-plane: 0, 0.5, 0, 0   ps-plane: 0.5, 0, 0, 0
;qr: 0, 0.5, 0, 0.5  qs: 0.5, 0, 0, 0.5  rs: 0.5, 0, 0.5, 0

  pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1), b=pi*imag(p1)
  g=pi*real(p2), d=pi*imag(p2), ca=cos(a), cb=cos(b), sb=sin(b),
cg=cos(g)
  sg=sin(g), cd=cos(d), sd=sin(d)
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd)
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd)
  r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q) + p3, z=r+flip(s):
  z=z*z+c
  |z|<=4
}


John Ralph H. Goering
[e-mail]
"Let us fix our eyes on Jesus, the author and perfecter of our faith."
(Heb. 12:2a NIV)

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

From: John R Goering <[e-mail]>
Subject: (fractint) Re: Animations in the Julibrot
Date: 02 Aug 2000 16:41:34 -0400

Greetings,

Here is a formula that simplifies the production of animations that morph
the Mandelbrot set into some Julia set (or vice versa):

2DSlices { ; by John R. H. Goering
       ; This fractal produces 2D slices of the Julibrot set.
       ; p1 is the constant for some Julia set while p2 is a number
       ; from 0 to 1.  p2=0 gives the M-set while p2=1 gives
        ; the J-set specified by p1.  To morph from the M-set to the
        ; J-set, vary p2 from 0 to 1.
  w=pixel, a=pi*p2*0.5, c=p1*p2+w*cos(a), z=w*sin(a):
  z=z*z+c
  |z|<=4
}

The basic concepts behind the development of the formula:
1) Start with a plane that slices the Julibrot through the M-set (when
p2=0).
2) As p2 varies from 0 to 1, rotate and translate the plane until the
plane slices the Julia set given by p1.

When making animations, I have discovered that to make a smooth
animation, I need to use smaller increments as p1 gets close to 1.0.  For
some reason, the transitions seem more abrupt as the orientation of the
"slicing" plane gets closer to orientation of the Julia plane.

After initially designing the formula using real numbers, I was
pleasantly surprised by how simple the formula became with the use of
complex numbers.

John Goering

View a Mandelbrot set image gallery at
http://homestead.juno.com/johnrhg/files/IntroMandelbrot.html
John Ralph H. Goering
[e-mail]
"What is lacking cannot be counted." (Ecclesiastes 1:15b NIV)
So zero is not a counting number  :-)

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

From: Mike Traynor <[e-mail]>
Subject: Re: (fractint) FOTD 24-07-00  (Ring Around a Midget [7])
Date: 02 Aug 2000 23:31:05 -0400

Jim,
>
> FOTD -- July 24, 2000 (Rating 7)
>
> Fractal visionaries and enthusiasts:
>
> Naturally, upon finding something I've never before seen in a
> fractal, my immediate impulse is to dive into it in search of
> midgets.

Me too.  The full image itself might have been an FOTD.  There is a
lot of really neat stuff in this one, from these images that look like
they have cables around them to other areas that have a very barnsley look
to them.

Mike

ring22             { ;   (c) Mike Traynor Aug 02, 2000 t=  0:02:21.93
                     ; [e-mail]
                     ; time on PIII-600 1024x768
                     ;  Version 2000 Patchlevel 6
  reset=2000 type=formula formulafile=_m.frm
  formulaname=mandelbrotmix4 function=recip passes=b
  center-mag=+0.01684641914540264/-0.32168366776083770/8487786/1/-164.999
  params=-11/-1.1/-1/-11/-1.99/0 float=y maxiter=1200 inside=bof60
  logmap=62 periodicity=10
  colors=0002742723873AB4BG4EK5HO<3>7Ke7Ki8Ln8Mr8Mv<8>`bycdygfy<3>smzvozsh\
  v<3>iEgf7cd0`<3>hIkiMnjQpf1VZQLRnC<3>T_NUWPUSSUPU<3>iOblOdbIUTDJJ89<3>UM\
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  }

ring21             { ;   (c) Mike Traynor Aug 02, 2000 t=  0:02:42.36
                     ; [e-mail]
                     ; time on PIII-600 1024x768
                     ;  Version 2000 Patchlevel 6
  reset=2000 type=formula formulafile=_m.frm
  formulaname=mandelbrotmix4 function=recip passes=b
  center-mag=+0.01684645676154260/-0.32168364603497580/424389.3/1/-164.999
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  }

ring23             { ;   (c) Mike Traynor Aug 02, 2000 t=  0:04:30.01
                     ; [e-mail]
                     ; time on PIII-600 1024x768
                     ; Version 2000 Patchlevel 6
  reset=2000 type=formula formulafile=_m.frm
  formulaname=mandelbrotmix4 function=recip passes=b
  center-mag=+0.01684642862575926/-0.32168367984283620/1.595448e+007/1/177\
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  j<10>r3q
  }

ring24             { ;   (c) Mike Traynor Aug 02, 2000 t=  0:05:14.06
                     ; [e-mail]
                     ; time on PIII-600 1024x768
                     ; Version 2000 Patchlevel 6
  reset=2000 type=formula formulafile=_m.frm
  formulaname=mandelbrotmix4 function=recip passes=b
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  j<10>r3q
  }

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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD  03-08-00,  (Breaking-up Midget [4])
Date: 03 Aug 2000 00:18:51 -0400 (EDT)


FOTD -- August 03, 2000 (Rating 4)

Fractal visionaries and enthusiasts:

An extremely busy day means a hasty fractal and short discussion.

Today's curious scene lies in the infinite spiral of the
Z^(sqrt(2))+C Mandeloid, a short distance out from the default
view.  The parent fractal is a distorted bay with an even more
distorted main bud.  Today's scene lies in the left branch of the
valley between the bay and bud.

I named the picture "Breaking-up Midget" when I saw how broken
the surrounding elements are.  I can honestly rate the image no
higher than 4, since I put almost no effort into it.  The
11-minute parameter file makes a download preferable.  The
download may be found at:

          <alt.binaries.pictures.fractals>

and at:

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

The fractal weather today  was partly cloudy and very muggy,
with a temperature of 84F (29C) that was perfect for both
fractal cats and grass trimming.  The rain held off until after
dark, when a heavy thunder-storm skimmed past just to the east.
Luckily the rain was not enough to run into the basement.

I had no time for philosophy today, but I'm accumulating a great
backlog of ideas, which sooner or later will be made public.
Despite the rush, I'll return in 24 hours with a new fractal and
a few more words.  Until then, take care, and the best has not
yet arrived.


Jim Muth
[e-mail]


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

Breaking-up_Midget { ; time=0:11:06.74 -- SF5 on a p200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=branchct.frm
  formulaname=MandelbrotBC passes=1
  center-mag=-0.09561066091537362/+0.78473810657722410\
  /352024.7/1/35 params=1.414213562373/0/0/0 float=y
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  zOozP<17>xzZ
  }

frm:MandelbrotBC = { ; Z=Z^E+C  Andrew Coppin
  e=p1
  p=real(p2)+PI
  q=2*PI*trunc(p/(2*PI))
  r=real(p2)-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<100
}

END 20.0 PAR-FORMULA FILE==================================


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

From: Jim Muth <[e-mail]>
Subject: Re: (fractint) Branch Cuts & Julibrot Slices
Date: 03 Aug 2000 01:55:40 -0400 (EDT)

At 01:13 PM 8/2/00 GMT, you wrote:

>But anyway... I wonder if Jim has tried animating Julibrot slices? What does
>it look like to take a Mandelbrot zoom, and animate it rotating into the
>Julia plane? Surely that's gotta look pretty increadible, right? Hmm... will
>try...

I have tried animating such rotations, but it's quite tricky.  The
entire M-set is not too difficult, but individual objects such as
midgets are quite difficult to rotate smoothly.  To start, the closer
the view comes to the Julia plane, the faster it changes.  Also, the
Mandelbrot objects grow quite a bit larger as the Julia plane is
approached, requiring several outzooms if the Julia aspect is to fit
on the screen.  So far I've gotten nothing but jerky results, but one
of these days when I've got nothing to do, I'll have a serious go at
it.

Jim M.


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

From: "Morgan L. Owens" <[e-mail]>
Subject: Re: Fw: Re: (fractint) Re: 2D slices of Julibrot
Date: 04 Aug 2000 11:13:08 +1200

 >
 >Hello to all,
 >
 >Here is the mathematical derivation of the formula that I posted:
 >
<Well no, it's not here, 'cos I've snipped it.>


The question is whether SliceJB can provide arbitrary two-dimensional
slices through the four-dimensional Julibrot. Its author, John Goering,
has conjectured in the negative. I agree.

Before I begin, I must say that I'll only be considering rotations
through the _origin_ - that is to say, the origin [0,0,0,0] will remain
fixed throughout all of these transformations. If you don't want the
object to remain at the origin, you can (as in Goering's formula) move
it elsewhere after you've done all your rotating.

Following Goering, I label the mutually orthogonal axes of our four-
dimensional Euclidean space P, Q, R, and S. But I'm not going to refer
to these axes in what follows, since rotations are not so much _about_
axes as _in_ planes. This holds even in one, two and three dimensions,
and is a much more sensible way of thinking about rotations if one is
planning on extending any ideas about it to higher dimensions than
three. For example, in two-dimensional space, there is only one plane in
which rotations can occur, and in one dimension there is no room for
_any_.

In four-dimensional Euclidean space one can have rotations in six
mutually perpendicular planes which I'll call PQ, PR, PS, QR, QS and RS.
(How many ways can you choose two letters from a set of four? How many
mutually perpendicular planes are there in 8-space? Hint: there are 56
mutually perpendicular volumes.)

Now that I've got labels for my planes, I need to be able to specify
rotations in them. Rather than try to visualise four dimensions (which
can be done, I'm assured, though personally I'm still having a hard
enough time with three), I'm going to resort to notation. Specifically,
matrices.

Goering describes the rotation of a point in the XY plane by an angle of t
as:

xnew=xold*cos(t) - yold*sin(t)
ynew=xold*sin(t) + yold*cos(t)

In matrix notation, I'll write this as
[x'] = [x][cos(t) -sin(t)]
[y']   [y][sin(t)  cos(t)]

where [x',y'] is Goering's [xnew,ynew] and [x,y] is his [xold,yold].

Let's go the whole hog and jump straight to four dimensions. To rotate a
point in the PQ plane by an angle t:

[p'] = [p][cos(t) -sin(t) 0 0]
[q']   [q][sin(t)  cos(t) 0 0]
[r']   [r][  0       0    1 0]
[s']   [s][  0       0    0 1]

You'll see the effect of those ones and zeros in a second.

To write out this multiplication in something Fracting can work with:

pnew = pold*cos(t) - qold*sin(t) + rold*0 + sold*0
qnew = pold*sin(t) + qold*cos(t) + rold*0 + sold*0
rnew = pold*  0    + qold*  0    + rold*1 + sold*0
snew = pold*  0    + qold*  0    + rold*0 + sold*1

(You can see how the rotation matrix is reflected in this system of
equations, and maybe suss out much of how matrix multiplication works
from it.) Making obvious simplifications gives us

pnew = pold*cos(t) - qold*sin(t)
qnew = pold*sin(t) + qold*cos(t)
rnew = rold
snew = sold

which is precisely what we expect: if we're rotating a point in the PQ
plane, its R and S (or, for that matter, its T, G, or Wibble) coordinates
shouldn't change.

As I said, there are six orthogonal planes through any given point (and,
in particular, through our origin), and each has its own matrix:

         PQ                   QR                   RP
[ cos(t) sin(t) 0 0] [1    0      0    0] [cos(t) 0 -sin(t) 0]
[-sin(t) cos(t) 0 0] [0  cos(t) sin(t) 0] [  0    1    0    0]
[   0      0    1 0] [0 -sin(t) cos(t) 0] [sin(t) 0  cos(t) 0]
[   0      0    0 1] [0    0      0    1] [  0    0    0    1]

         PS                   QS                   RS
[cos(t) 0 0 -sin(t)] [1   0    0    0   ] [1 0   0       0   ]
[  0    1 0    0   ] [0 cos(t) 0 -sin(t)] [0 1   0       0   ]
[  0    0 1    0   ] [0   0    1    0   ] [0 0 cos(t) -sin(t)]
[sin(t) 0 0  cos(t)] [0 sin(t) 0  cos(t)] [0 0 sin(t)  cos(t)]


(Which sin(t) gets the negative sign pretty much depends on whether
you're left-handed or right-handed - whether you're calling the plane
"PQ" or "QP".)

Now, it so happens that we don't need all six. In fact, if we choose
carefully, we can get by with just three!

Let's say we want to rotate an object in the XZ plane, but we only have
XY and YZ rotations (we'll stick to 3D for this if it helps you
visualise things). What we can do is rotate the object 90 degrees in the
XY plane, rotate it by the desired amount in the YZ plane, then rotate
it _back_ 90 degrees in the XY plane again. The first ninety-degree
rotation effectively swaps X for Y, and the second swaps it again.

Doing this with (three-dimensional) transformation matrices (and I'll
(a) use pi/2 radians instead of 90 degrees, 'cos radians are more
natural, and (b) spell out each step in nauseating detail):

[x'] = [x][cos(pi/2) -sin(pi/2) 0][1   0       0   ][cos(-pi/2) -sin(-pi/2) 0]
[y']   [y][sin(pi/2)  cos(pi/2) 0][0 cos(t) -sin(t)][sin(-pi/2)  cos(-pi/2) 0]
[z']   [z][    0          0     1][0 sin(t)  cos(t)][   0           0       1]

= [x][    0         -1     0][1   0       0   ][   0           1       0]
   [y][    1          0     0][0 cos(t) -sin(t)][  -1           0       0]
   [z][    0          0     1][0 sin(t)  cos(t)][   0           0       1]

= [x*0-y*1+z*0][1   0       0   ][   0           1       0]
   [x*1+y*0+z*0][0 cos(t) -sin(t)][  -1           0       0]
   [x*0+y*0+z*1][0 sin(t)  cos(t)][   0           0       1]

= [-y][1   0       0   ][   0           1       0]
   [ x][0 cos(t) -sin(t)][  -1           0       0]
   [ z][0 sin(t)  cos(t)][   0           0       1]

(Oops, -y instead of y! Never mind: it will all come out in the wash.)

= [-y*1 +x*  0    +z*   0   ][   0           1       0]
   [-y*0 +x*cos(t) +z*-sin(t)][  -1           0       0]
   [-y*0 +x*sin(t) +z* cos(t)][   0           0       1]

= [        -y       ][   0           1       0]
   [x*cos(t)-z*sin(t)][  -1           0       0]
   [x*sin(t)+z*cos(t)][   0           0       1]

= [-y* 0 + (x*cos(t)-z*sin(t))*1 + (x*sin(t)+z*cos(t))*0]
   [-y*-1 + (x*cos(t)-z*sin(t))*0 + (x*sin(t)+z*cos(t))*0]
   [-y* 0 + (x*cos(t)-z*sin(t))*0 + (x*sin(t)+z*cos(t))*1]

= [x*cos(t)-z*sin(t)]
   [        y        ]
   [x*sin(t)+z*cos(t)]

...which should, (and does) equal

= [x][cos(t) 0 -sin(t)]
   [y][  0    1    0   ]
   [z][sin(t) 0  cos(t)]

A rotation in the XZ plane! Huzzah!

So three basis rotations are all that's needed for general four-
dimensional rotations (not coincidentally one less than the number of
dimensions.) Let's say they're PS, PQ and QR. Then we can do a rotation
by t in PR by doing a rotation by pi/2 in PQ, a rotation by t in QR, and
a rotation by -pi/2 in PQ. Achieving a rotation in SR can be done with a
rotation in PS, and then one in PR (which we already know how to do),
and then undoing the rotation in PS.



*HOWEVER*

This is all very well; but SliceJB does not provide us with an arbitrary
sequence of rotations about our basis planes, because Fractint doesn't
provide SliceJB with enough hooks for parameters. It provides us with
the opportunity to make _four_ rotations in a _specific_ order. The
first in the QS plane, the second in the QR plane, the third in the PR
plane, and the fourth in the PQ plane.

I'm sorry, but if all you want is a rotation in the PS or RS planes,
you're out of luck. You could get an RS rotation if you could prerotate
in the QS plane, do your work in the QR plane, and then undo the QS
rotation, but by the time you've done the QR rotation, you can't touch
the QS plane again. You can't even construct such a rotation using the
remaining PR and PQ rotations (even if you could use them as many times
as you like).

So Goering's suspicions are justified: his SliceJB formula cannot
provide every two-dimensional slice of the Julibrot.

Morgan L. Owens
"We need eight real parameters!"


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

From: Jim Muth <[e-mail]>
Subject: (fractint) Re: 2D slices of Julibrot
Date: 03 Aug 2000 22:07:27 -0400 (EDT)

At 11:13 AM 8/4/00 +1200, Morgan Owens wrote:

>The question is whether SliceJB can provide arbitrary two-dimensional
>slices through the four-dimensional Julibrot. Its author, John Goering,
>has conjectured in the negative. I agree.
   <very detailed analysis snipped>

I agree also.  Although I once thought the SliceJB formula could provide
all possible rotations in 4-D space, I now realize that I was mistaken.
I discovered this the hard way -- by trying to do the actual rotations.
There are some orientations that simply cannot be reached with the
formula as it is currently written.  Four more parameter entries are
needed if one wishes to achieve any possible rotation centered at any
arbitrary point in the 4-D Julibrot object -- two entries to define the
remaining rotations, two entries to define initial Z.  Perhaps the
developers will take the hint.

Jim M.


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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 04-08-00, (Something Fishy [8])
Date: 03 Aug 2000 22:35:15 -0400 (EDT)


FOTD -- August 04, 2000 (Rating 8)

Fractal visionaries and enthusiasts:

For today's fractal image it's back to the MandelbrotMix4 and
the surprises therein.  The iterated formula that drew today's
image results from a very small adjustment I made to the formula
that drew the "Circle" and "Eutectic" FOTD images that appeared
a week or so ago.  Actually, it's the recently posted images by
Mike Traynor that convinced me to return to the formula.  The
parameter adjustment involved changing real(p3), which defines a
multiplication factor, from -1.999 to -1.975.

This particular formula and its close variants is one of the
more interesting ones I have stumbled upon in my FOTD
adventures.  It is so interesting because it draws fractals with
inner features unlike any I have seen before -- and where there
are new features, the unusual midgets can't be far behind.

The trick with this formula lies in finding the midgets, which
lurk hidden in places where they would be least expected.  As an
example, reset the logmap to 0 or 1 and back out of today's
image.  See if you would ever suspect that a midget such as
today's would be buried where I searched.

Today's rather spectacular picture rates a slightly optimistic
much-above-average 8 on my 0-to-10 scale of FOTD worth.  While
studying the image, I suddenly got the impression that I was
staring at twisted fish-tails.  The name "Something Fishy" came
to me within a minute.

The 7-minute render time of the parameter file makes the
download the better choice.  That download is available from:

          <alt.binaries.pictures.fractals>

and from:

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

The fractal weather was variably cloudy today, with light rain
at midday and a gentle thunder-shower at sunset -- all in all
nothing to be concerned about.  The fractal cats however dis-
approved of the light midday rain, and showed their displeasure
by sulking indoors all afternoon.

I once again failed in my philosophical aspirations, but I'll
try again tomorrow, and keep trying until I succeed.  Until next
time, take care, and see you in 24 hours.


Jim Muth
[e-mail]


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

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                     ;  Version 2000 Patchlevel 9
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  center-mag=+2.3504712563716/-2.170429340948094/1.417\
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  colors=00000300000010130640A60G70L71P93TC4YF6cG7gJ9l\
  MApQ6rPAuQDxTGzXJzYMz`QzcTzfXx<2>odorglulixofzrc<2>z\
  zVzzTzyQzuPzpMzlLxgIscGo_DjVCfQ9aM7YL4XI3VJ6TM7SOAQQ\
  CPUFOXGM_JPbLVfO_jPalSdnT`qMYsFTt7Qt0Mv0Jv0Lv0Lv0<2>\
  Pw0Qw0Tv0Vv0Xv0Yv0`v0`v0Pv0`v0Yv3cv9av9`v9Yv9Tv9Px9M\
  x9Ix9Dv9Av96v91u90u90s90s90y60s90oC0jF0fI0`L0XO0SQ0O\
  T0JX0OT0QS1VQ6YPAaOFdLJiJOlISpGQsFPuOOuOMv9Lv7Jx6Iy4\
  Gz3Fz3Dz1Cz0Az07z0Tz3gz6vz9zzC<3>zzOzzQzzTzzXzz_zzYz\
  zYzzXzzXzzVzzVzzTzzTzzSzzSzzQzzQvzP<2>`zOTuQMlTFdXXX\
  _fPapGdzCjz9gu7fm6d<2>V1`O0_I0YA0X40V00T30S60QA0QD0P\
  I7OLFOPMMSTMV`L_gJaoJfvIizG<2>szFpzImzLjzOizQfzTczX`\
  zXazYFz1<3>3zV0za0zl0zi0zf<2>9z_CzYFzVIzS<2>QzLTzJXz\
  GYzD_zF`zGazIczIdzJfzLgzMgzMizOjzPlzQmzQozSpzTpzTozQ\
  mzPlzMjzLjzIizGgzDfzCfz9dz7cz4az3fz0az1<5>CzSCzGAz9
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: "Jonathan Osuch" <[e-mail]>
Subject: Re: (fractint) Re: 2D slices of Julibrot
Date: 04 Aug 2000 07:48:18 -0500

Jim,

> Four more parameter entries are
> needed if one wishes to achieve any possible rotation centered at any
> arbitrary point in the 4-D Julibrot object -- two entries to define the
> remaining rotations, two entries to define initial Z.  Perhaps the
> developers will take the hint.

I can add two more complex parameters easily.  And will do so today or
tomorrow.  Beyond that, restructuring will be necessary.  I need to be
spending time on my job search, so the restructuring won't happen any time
soon.

Jonathan



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

From: Jim Muth <[e-mail]>
Subject: (fractint) Re: 2D slices of Julibrot
Date: 04 Aug 2000 19:41:47 -0400 (EDT)

At 07:48 AM 8/4/00 -0500, Jonathan Osuch wrote:

>I can add two more complex parameters easily.  And will do so today or
>tomorrow.

Great!  Even as little as two more parameter entries will increase
versatility an entire order of magnitude.

>Beyond that, restructuring will be necessary.  I need to be
>spending time on my job search, so the restructuring won't happen any time
>soon.

No rush here.  I'll be busy using the two additional parameter entries for
quite a while.

Jim M.


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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 05-08-00, (Flashy Minibrot [6])
Date: 04 Aug 2000 21:37:07 -0400 (EDT)


FOTD -- August 05, 2000 (Rating 6)

Fractal visionaries and enthusiasts:

Minibrots, Minibrots, Minibrots . . . will I ever get tired of
Minibrots?  Apparently not.  Yes, I realize that they're all the
same basic shape, and that I'm working myself into a rut with
these Minibrots, and that some may find an endless string of
midgets boring.  But Minibrots are fun to find and the variety
is without limit.

To create today's flashy midget I changed the imag(p1) parameter
of yesterday's formula from -1.1 to -1.15.  The change makes a
world of difference in the parent fractal and also in the shape
of the midgets deep inside.  I'm not going to try to describe
the indescribable parent fractal; those who wish to see it may
do so by resetting the logmap to 1 or 0 and outzooming from
today's image until the entire fractal fits on the screen.

Nor will I try to describe the flashy star-like pattern around
the midget in today's image, which I have named "Flashy
Minibrot" for the obvious reason.  The parameter file takes over
11 minutes to render on a modest Pentium.  On a state-of-the-art
machine it will finish in 3 or 4 minutes.

Patience may be preserved by going in a virtual manner to the
Usenet group:

          <alt.binaries.pictures.fractals>

or to the Web site of Paul Lee at:

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

The fractal weather today was very unsettled as one thunder-
storm after another billowed up nearby.  Luckily none billowed
up overhead, and we escaped with only a few light showers.  The
temperature topped out at 84F (29C), which was comfortable
enough for the fractal cats, but the wet grass kept them
indoors.  Fractal cats don't like to get their paws wet.

The big rush ended today as we delivered the final material to
the organizers of the 2000 International Wushu-Kungfu
Championships Festival, which is being held this weekend here in
Baltimore.  Next week should be slow, giving me a chance to
write some of that great philosophy I've been promising for
some time.  I should also have the time to produce even better
(if possible) fractals.

For this evening however, it will be a night of rest and
relaxation.  Until tomorrow, take care, and a good fractal is
nothing to kick about.


Jim Muth
[e-mail]


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

Flashy_Minibrot    { ; time=0:11:20.44 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+8.152643939088213/+9.261915743925041/7.2\
  37436e+008/1/-155 params=-11/-1.15/-1/-11/-1.975/0
  float=y maxiter=1500 inside=0 logmap=246 periodicity=9
  colors=000000000500A0KF0KK0UP3UU7ZZCZcGchLcmPhrVhwZr\
  zdrzhvzbvzavrVreLfUFbH3_G7HFBPEFYCJeCNnBYoAfp9rr9qs7\
  zu6uv4zx0zz4ty9ssCknHkhLddPaZVZUZXObSKhPFlNApK4pH1hQ\
  PU_WFibOkYZnRipLus4srGrrSprdpuporo<2>kiZifUidO<2>eX9\
  dU3bR0aR0<3>fL0hK0iJ2kH3kG4lF6rE7rCAzBBzACz9Es7Fl6Cf\
  4Ba39X27R26L13G02B0060010721E23K37R3AY4Ed4Gk4Jr6Ny6P\
  z7Uz7Xz7ZzAXzCUzFRzGOzJLyLJxOGvPEvSBuV9sY6rZ3pa1od0n\
  f0lh0lf0if0he0ee0dd0ad1_d2Yb2Xb3Ua4Sa6Pa6OXAUSEZOGd<\
  2>CRs9Vy4Zz0fz1az7YzEUzKOzRKzZGz<2>s3xz1xz0vx0vu0ur0\
  uo0s<2>f0rd0ra0pZ0pe0xY0pP0kH0eA0Z20U00O00J60FA0BA00\
  <4>A00A00K40FE1BL2<2>0i40r60z70z71zA<2>dzErvFzuGzvJu\
  xLpxNkyPeyRazUXzXRzYNz_HzaCzd9zeBzdCvdFrdGsdJudKvdNx\
  dOydRzdSzdVzd<2>_zdZza<2>VzYUzXSzURzSRzRPzPOzONzLLzK\
  KzJJzHFzFJzGLzHPzHSzJXzKZzKbzLezLizNlzOpzOszPxzRzzRz\
  zSzzV
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) Re: 2D slices of Julibrot
Date: 05 Aug 2000 13:53:14 +1200

At 07:48 04/08/2000 -0500, Johnathan Osuch wrote:
>Jim,
>
> > Four more parameter entries are
> > needed if one wishes to achieve any possible rotation centered at any
> > arbitrary point in the 4-D Julibrot object -- two entries to define the
> > remaining rotations, two entries to define initial Z.  Perhaps the
> > developers will take the hint.
>
>I can add two more complex parameters easily.  And will do so today or
>tomorrow.  Beyond that, restructuring will be necessary.  I need to be
>spending time on my job search, so the restructuring won't happen any time
>soon.

It strikes me that it may prove worthwhile in the longer term (it would no
doubt need significant redesign, though) to allow for an arbitrary number
of parameters (p1, p2, p3, ...), rather than hardcoded restrictions.

Morgan L. Owens
"But if you need 50+ parameters, you're probably trying to do too much at
once."



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

From: "Jonathan Osuch" <[e-mail]>
Subject: Re: (fractint) Re: 2D slices of Julibrot
Date: 05 Aug 2000 08:02:15 -0500

Morgan,

> It strikes me that it may prove worthwhile in the longer term (it would no
> doubt need significant redesign, though) to allow for an arbitrary number
> of parameters (p1, p2, p3, ...), rather than hardcoded restrictions.

The major problems with that are how do you display them on the <Z> screen
and how do you store/retrieve them from GIF files.  Realizing that the GIF
file format is eventually going away (the ability to read them will stay for
a while), there may be a way to store an arbitrary number of variables with
the png file format.  That still leaves the problem with the input screens.

Jonathan




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

From: John R Goering <[e-mail]>
Subject: (fractint) Re: 2D slices of Julibrot
Date: 05 Aug 2000 11:35:37 -0400

Thank you, Morgan Owens, for the explanation of rotations in 4D. I have
just a B.S. degree in Mathematics and never formally studied 4D, so I
really appreciate this information.

When Fractint will allow us to write a formula that can do 6 rotations of
a plane in 4D and then move the origin of that plane to any point in
4-space, what would be the best sequence of 6 rotations? Or is there no
*best* sequence?

For example, in PQRS-space, would it be better for the first two
rotations to be independent of each other (e.g., a rotation in QS and one
in PR), or would it be better for the second rotation to be dependent on
the first rotation (e.g., a rotation in QS and then one in QR)? Or
doesn't it matter?


With lots of questions,
John Goering

View a Mandelbrot set image gallery at
http://homestead.juno.com/johnrhg/files/IntroMandelbrot.html
John Ralph H. Goering
[e-mail]
"Now set your heart and your soul to seek the LORD your God." (I Chron.
22:19a)

________________________________________________________________
YOU'RE PAYING TOO MUCH FOR THE INTERNET!
Juno now offers FREE Internet Access!
Try it today - there's no risk!  For your FREE software, visit:
http://dl.www.juno.com/get/tagj.

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

From: "Damien M. Jones" <[e-mail]>
Subject: Re: (fractint) Re: 2D slices of Julibrot
Date: 05 Aug 2000 13:43:13 -0400

John,

 - For example, in PQRS-space, would it be better for the first two
 - rotations to be independent of each other (e.g., a rotation in QS
 - and one in PR), or would it be better for the second rotation to
 - be dependent on the first rotation (e.g., a rotation in QS and
 - then one in QR)? Or doesn't it matter?

I too would like to know. I've recently been exploring my own 4D rotation
formulas, and it is hard to predict what the six rotations I've got are
actually doing. One advantage to doing the first two rotations
independently is that, if your 4D object is the Julibrot, you can go from
Mandelbrot to Julia with just the first two rotations. That's easy enough
to figure.

I'm particularly interested in generalized 4D rotations because the same
technique can be used to explore the Julibrot, quaternion M and J,
hypercomplex M and J, Julia2 space, etc. It's just a generally useful tool
in the fractal formula toolbox.

More parameters in formulas would be good, always. As for interface--might
I suggest displaying the formula text on a separate screen (keeping it
scrollable)? That would leave lots of room for additional parameters while
retaining the ability to view the formula text, which often has hints as to
how to use the formula.

Damien M. Jones   \\
[e-mail]  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.


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

From: [e-mail]
Subject: RE: Re: (fractint) Re: 2D slices of Julibrot
Date: 05 Aug 2000 22:37 0000

Hi Folks,

>The major problems with that are how do you display them on the <Z>
screen
>and how do you store/retrieve them from GIF files.  Realizing that the
GIF

Not to mention that the evolver would need a bit of a rethink to cope
with arbitary numbers of parameters too.... Surely enough parms to
define plane and rotation in a 4D volume would do for now!

Cheers,
          Robin.




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

From: "Jonathan Osuch" <[e-mail]>
Subject: (fractint) Patch 13
Date: 05 Aug 2000 19:24:14 -0500

Patch 13 is on the ftp site.  The executable is there as fradev20.0.13.zip.

This patch adds parameters p4 and p5 to the formula parser and now checks
all the parameters when the symmetry options XAXIS_NOREAL and XAXIS_NOIMAG
are used.

I purposely did not add the two new parameters to the evolver.  Maybe
someday.

Jonathan




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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 06-08-00, (A Flawed Fractal [2])
Date: 05 Aug 2000 22:26:54 -0400 (EDT)


FOTD -- August 06, 2000 (Rating 2)

Fractal visionaries and enthusiasts:

Today's modest effort rates only a humble 2 on my scale of
worth.  I had originally rated it a 5, but then I realized that
a better image lies closer in toward the midget.  This
realization caused me to consider today's image flawed, and as a
result I dropped its rating to 2 and named it "A Flawed
Fractal".  But it is flawed only in comparison to what it might
have been, and in fact might turn out to be in a soon-to-appear
FOTD.

The formula is once again a combination of various portions of
Z^(-1.1) and Z^(-11) plus 1/C.  Minor variations of this formula
produce images of the most interesting kind, with midgets of an
even more interesting nature lurking within.

The parameter file takes an exasperatingly long time to render
even on a Pentium machine.  But relief is as near as the
internet, where the GIF file has been posted to Usenet at:

          <alt.binaries.pictures.fractals>

and to the Web at:

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

The fractal weather today was perfect -- the first day in
several weeks that I heard no thunder and saw no rain.  The deep
blue sky, puffy clouds, dry atmosphere, and temperature of 83F
(28C) brought out both the neighborhood lawn mowers and the
fractal cats.

The great conditions also brought out the philosophy in me.
Having just completed the program magazine for the 2000 Kung-Fu
Competition, I pondered the nature of the martial-art discipline
known as Kung-Fu.  After working closely with the organizers for
several weeks, I have come to realize that the art of Kung-Fu
involves as much spiritual discipline as physical prowess.  In
fact, when studying the art, one learns how to direct and focus
a spiritual energy known as Qi, or sometimes Chi.

The more skeptical among us tell that such energy does not
exist, that those who claim to be using Qi energy are actually
skillfully using well-known natural laws of physics.  When I
mentioned this to one of the Kung-Fu masters, he merely laughed.
"Who knows more about Qi energy?" he replied.  "Those who have
worked with it all their lives or those who do not yet know that
it exists?"

Then he gave me a brief demonstration of the energy in action.
The tingly heat I felt could have been the power of suggestion,
or a natural physiological effect, or it could have been Qi
energy.  Since the Kung-Fu master knew more about the topic than
I, and he claimed that the heat was caused by an actual
spiritual energy, I must take the word of the expert.  I find it
a bit incredible that Kung-Fu students would devote so much
effort to working with something that does not exist, and after
hundreds of years have still not discovered that it does not
exist.

As for me, I'm undecided whether it exists, but I have no doubt
that 'Qi' is a good scrabble word.  And of course, I'll be here
again in 24 hours with another fractal, this next one guaranteed
to rate higher than today's.  And I'll also have some more words
of wisdom.  Until then, take care, and fractals are forever.


Jim Muth
[e-mail]


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

A_Flawed_Fractal   { ; time=0:25:31.92 -- SF5 0n a P200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-0.01733612521571942/+1.594853495298927/1.\
  182371e+010/1/125.003 params=-11/-1.1/-1/-11/-1.975/0
  float=y maxiter=6000 inside=0 logmap=149 periodicity=9
  colors=000R62T62<3>gQQjVWn_a<2>xns<3>kskhtjeuh<2>Xxb\
  UyaTwc<8>TnoTmqTlr<2>TivThwUet<4>UWjVUgVSe<3>VKY<3>c\
  YMe`JhcG<3>pp5<7>md_mccmag<3>lXv<3>jpmjtkkrl<7>lfple\
  qmcq<2>m_smZsk_r<3>ebqdcqbdqaeq`eq<6>XMrXJrWGr<3>V5r\
  k2c<8>eHOeJMdLK<3>bRE<3>HZZB`c6bh<3>FlkHokJqlLsl<3>R\
  PXTITUAPV3M<9>eaTfeUghV<2>jsXkvXjuY<5>dt_ct`bs`<3>_s\
  a<2>huZkuYlna<3>nRqnLtoLt<3>qMtqNtrNtrNt<3>oQqVjXnRp\
  <17>_eaZf`Zf`<3>VjXyNB<3>`fTHxq<13>RncRnbSma<3>VjYGb\
  N
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: Jim Muth <[e-mail]>
Subject: (fractint) Re: Patch 13
Date: 05 Aug 2000 22:30:40 -0400 (EDT)

At 07:24 PM 8/5/00 -0500, you wrote:

>Patch 13 is on the ftp site.  The executable is there as fradev20.0.13.zip.

I'm eager to get my hands on the latest patch, but I can't find the
address of the ftp site.  What is the full address?

Jim M.


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

From: "Damien M. Jones" <[e-mail]>
Subject: Re: (fractint) Re: Patch 13
Date: 05 Aug 2000 22:46:38 -0400

Jim,

 - I'm eager to get my hands on the latest patch, but I can't find the
 - address of the ftp site.  What is the full address?

Have a look here:

    http://www.fractint.org/ftp/

Damien M. Jones   \\
[e-mail]  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.


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

From: Bob Margolis <[e-mail]>
Subject: Re: (fractint) Re: Patch 13
Date: 05 Aug 2000 21:42:23 -0500

Jim Muth wrote:
>

>
> I'm eager to get my hands on the latest patch, but I can't find the
> address of the ftp site.  What is the full address?
>
http://www.fractint.org/ftp/

Cheers,

Bob

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

From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) Re: 2D slices of Julibrot
Date: 06 Aug 2000 15:38:04 +1200

At 08:02 05/08/2000 -0500, you wrote:
>Morgan,
>
> > It strikes me that it may prove worthwhile in the longer term (it would no
> > doubt need significant redesign, though) to allow for an arbitrary number
> > of parameters (p1, p2, p3, ...), rather than hardcoded restrictions.
>
>The major problems with that are how do you display them on the <Z> screen
>and how do you store/retrieve them from GIF files.  Realizing that the GIF
>file format is eventually going away (the ability to read them will stay for
>a while), there may be a way to store an arbitrary number of variables with
>the png file format.  That still leaves the problem with the input screens.

Having been writing medical software lately involving forms with a couple
of hundred fields, I find myself resonating with this question! The problem
I take it is that as the number of parameters bloats, so too does the
number of lines required to display them in the <Z> screen. Four thoughts
occur to me:



Already, parameters are only listed in the <Z> screen if they actually
appear in the code (if you only mention p1 and p3, then only p1 and p3 get
listed). It's only sane to continue with this: if someone mentions (say)
p12, p13, p14, p23, p24 and p34 (for representing rotations in 4-space) in
their formula, then there is no point in the <Z> screen even trying to list
thirty-four parameters.



As I suggested, someone who asks for fifty parameters is asking for
trouble, but some sort of scrolling may be the most graceful way of
accommodating such stunts, rather than an ad hoc complaint from the parser
(if it's the UI's problem, the parser shouldn't have to worry about it).



At present, the parameters are listed like this:
Real portion of p1        space for 20 digits.
Imaginary portion of p1   0
Real portion of p2        0
Imaginary portion of p2   0
Real portion of p3        0
Imaginary portion of p3   0

But summat like:
      Real portion           Imaginary portion
p1   Space for 20 digits.   Space for 20 digits.
p2   0                      0
p3   0                      0

is only two characters wider, and almost halves the height. Tabbing between
fields would zigzag from left to right down the list. It has the bonus
advantage of more closely relating the real and imaginary parts of a
complex number (and also groups the real parts and imaginary parts together
for situations where only real parts are being used).



The final thought is longer term: the text-mode UI will almost surely give
way to a graphics-mode interface eventually, making much of this discussion
moot by giving easy access to a more sophisticated interface widgetry
(though I myself would insist on retaining the ability to simply hit <Z> to
bring up the parameter dialogue, and typing numerical values for parameters).


Morgan L. Owens
"There's a standard medical code for injuries sustained while a passenger
in an unidentified flying object."



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

From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) Re: 2D slices of Julibrot
Date: 06 Aug 2000 23:38:10 +1200

At 11:35 05/08/2000 -0400, John Goering wrote:
>When Fractint will allow us to write a formula that can do 6 rotations of
>a plane in 4D and then move the origin of that plane to any point in
>4-space, what would be the best sequence of 6 rotations? Or is there no
>*best* sequence?
>
>For example, in PQRS-space, would it be better for the first two
>rotations to be independent of each other (e.g., a rotation in QS and one
>in PR), or would it be better for the second rotation to be dependent on
>the first rotation (e.g., a rotation in QS and then one in QR)? Or
>doesn't it matter?

There are at least two ways in which a given sequence of rotations might
be considered the *best* - intuitive ease of use and elegance of coding.
Both approaches suggested by John would appear to be the best by one
or the other of these ways.

The most intuitive (for some definition of "intuitive") is probably to
build up rotations in higher dimensions by successively "tuning" in each
dimension in turn: First do a rotation in 2 dimensions: PQ; then the
rest of the rotations in 3 dimensions: PR, QR; then the rest of the
rotations in 4 dimensions: PS, QS, RS; then (if you're feeling
adventurous) you can follow with rotations in PT, QT, RT, and ST....

While this looks like the most straightforward approach for use, it can
lead to some ungainly and lopsided-looking coding:

xnew=((xold*cos(t1)+yold*sin(t1))*cos(t2)+zold*sin(t2))*cos(t4)-wold*sin(t4)
ynew=((yold*cos(t1)-xold*sin(t1))*cos(t3)+(zold*cos(t2)-(xold*cos(t1)+yold*sin(t1))*sin(t2))*sin(t3))*cos(t5)-(wold*cos(t4)+((xold*cos(t1)+yold*sin(t1))*cos(t2)+zold*sin(t2))*sin(t4))*sin(t5)
znew=((zold*cos(t2)-(xold*cos(t1)+yold*sin(t1))*sin(t2))*cos(t3)-(yold*cos(t1)-xold*sin(t1))*sin(t3))*cos(t6)-((wold*cos(t4)+((xold*cos(t1)+yold*sin(t1))*cos(t2)+zold*sin(t2))*sin(t4))*cos(t5)+((yold*cos(t1)-xold*sin(t1))*cos(t3)+(zold*cos(t2)-(xold*cos(t1)+yold*sin(t1))*sin(t2))*sin(t3))*sin(t5))*sin(t6)
wnew=((wold*cos(t4)+((xold*cos(t1)+yold*sin(t1))*cos(t2)+zold*sin(t2))*sin(t4))*cos(t5)+((yold*cos(t1)-xold*sin(t1))*cos(t3)+(zold*cos(t2)-(xold*cos(t1)+yold*sin(t1))*sin(t2))*sin(t3))*sin(t5))*cos(t6)+((zold*cos(t2)-(xold*cos(t1)+yold*sin(t1))*sin(t2))*cos(t3)-(yold*cos(t1)-xold*sin(t1))*sin(t3))*sin(t6)

though other representations are cleaner-looking:
nx=x*cos(t1)+y*sin(t1), ny=y*cos(t1)-x*sin(t1), x=nx, y=ny
nx=x*cos(t2)+z*sin(t2), nz=z*cos(t2)-x*sin(t2), x=nx, z=nz
ny=y*cos(t3)+z*sin(t3), nz=z*cos(t3)-y*sin(t3), y=ny, z=nz
nx=x*cos(t4)-w*sin(t4), nw=w*cos(t4)+x*sin(t4), x=nx, w=nw
ny=y*cos(t5)-w*sin(t5), nw=w*cos(t5)+y*sin(t5), y=ny, w=nw
nz=z*cos(t6)-w*sin(t6), nw=w*cos(t6)+z*sin(t6), z=nz, w=nw

or

x1=x0*cos(t1)+y0*sin(t1), y1=y0*cos(t1)-x0*sin(t1)
x2=x1*cos(t2)+z0*sin(t2), z1=z0*cos(t2)-x1*sin(t2)
y2=y1*cos(t3)+z1*sin(t3), z2=z1*cos(t3)-y1*sin(t3)
x3=x2*cos(t4)-w0*sin(t4), w1=w0*cos(t4)+x2*sin(t4)
y3=y2*cos(t5)-w1*sin(t5), w2=w1*cos(t5)+y2*sin(t5)
z3=z2*cos(t6)-w2*sin(t6), w3=w2*cos(t6)+z2*sin(t6)



The other alternative suggested is to concentrate on independent pairs
of rotations. A rotation in the PQ plane affects neither the R nor S
coordinates of a point, and a rotation in the RS plane leaves the P and
Q coordinates similarly untouched. So rotating by an angle t1 in the PQ
plane then rotating by an angle of t2 in the RS plane has the same net
effect as a rotation by t2 in the RS plane followed by a rotation by t1
in the PQ plane (assuming that the two rotations are consecutive). There
are four pairs of mutually independent planes: PQ/RS, PR/QS and PS/QR
(which reflects the fact that two planes are independent if they have no
axes in common).

The code that's produced by this sequence of rotations is more
symmetric (at least in a long enough line width):
xnew=((xold*cos(t1)+yold*sin(t1))*cos(t3)-(zold*cos(t2)-wold*sin(t2))*sin(t3))*cos(t5)-((wold*cos(t2)+zold*sin(t2))*cos(t4)+(yold*cos(t1)-xold*sin(t1))*sin(t4))*sin(t5)
ynew=((yold*cos(t1)-xold*sin(t1))*cos(t4)-(wold*cos(t2)+zold*sin(t2))*sin(t4))*cos(t6)+((zold*cos(t2)-wold*sin(t2))*cos(t3)+(xold*cos(t1)+yold*sin(t1))*sin(t3))*sin(t6)
znew=((zold*cos(t2)-wold*sin(t2))*cos(t3)+(xold*cos(t1)+yold*sin(t1))*sin(t3))*cos(t6)-((yold*cos(t1)-xold*sin(t1))*cos(t4)-(wold*cos(t2)+zold*sin(t2))*sin(t4))*sin(t6)
wnew=((wold*cos(t2)+zold*sin(t2))*cos(t4)+(yold*cos(t1)-xold*sin(t1))*sin(t4))*cos(t5)+((xold*cos(t1)+yold*sin(t1))*cos(t3)-(zold*cos(t2)-wold*sin(t2))*sin(t3))*sin(t5)

but in reality there is no significant saving of computation, as is shown by
representations analogous to the other two above:

nx=x*cos(t1)+y*sin(t1), ny=y*cos(t1)-x*sin(t1), x=nx, y=ny
nz=z*cos(t2)-w*sin(t2), nw=w*cos(t2)+z*sin(t2), z=nz, w=nw
nx=x*cos(t3)-z*sin(t3), nz=z*cos(t3)+x*sin(t3), x=nx, z=nz
ny=y*cos(t4)-w*sin(t4), nw=w*cos(t4)+y*sin(t4), y=ny, w=nw
nx=x*cos(t5)-w*sin(t5), nw=w*cos(t5)+x*sin(t5), x=nx, w=nw
ny=y*cos(t6)+z*sin(t6), nz=z*cos(t6)-y*sin(t6), y=ny, z=nz

and

x1=x0*cos(t1)+y0*sin(t1), y1=y0*cos(t1)-x0*sin(t1)
z1=z0*cos(t2)-w0*sin(t2), w1=w0*cos(t2)+z0*sin(t2)
x2=x1*cos(t3)-z1*sin(t3), z2=z1*cos(t3)+x1*sin(t3)
y2=y1*cos(t4)-w1*sin(t4), w2=w1*cos(t4)+y1*sin(t4)
x3=x2*cos(t5)-w2*sin(t5), w3=w2*cos(t5)+x2*sin(t5)
y3=y2*cos(t6)+z2*sin(t6), z3=z2*cos(t6)-y2*sin(t6)

Again, the rotations taken in order are t1..t6 for the sequence of
rotations PQ RS PR QS PS QR.

Whether this is easier for a user to work with, however, is
questionable (at least, I find both equally obscure), and requires
experimentation.


In total, there are thirty (6!/4!) distinct orders in which the
rotations can be made (up to a relabelling of the axes):
PQ PR PS QR QS RS       PQ PR PS QR RS QS       PQ PR PS QS QR RS
PQ PR PS QS RS QR       PQ PR PS RS QR QS       PQ PR PS RS QS QR
PQ PR QR PS QS RS       PQ PR QR PS RS QS       PQ PR QR QS PS RS
PQ PR QR QS RS PS       PQ PR QR RS PS QS       PQ PR QR RS QS PS
PQ PR QS PS QR RS       PQ PR QS PS RS QR       PQ PR QS QR PS RS
PQ PR QS QR RS PS       PQ PR QS RS PS QR       PQ PR QS RS QR PS
PQ PR RS PS QR QS       PQ PR RS PS QS QR       PQ PR RS QR PS QS
PQ PR RS QR QS PS       PQ PR RS QS PS QR       PQ PR RS QS QR PS
PQ RS PR PS QR QS       PQ RS PR PS QS QR       PQ RS PR QR PS QS
PQ RS PR QR QS PS       PQ RS PR QS PS QR       PQ RS PR QS QR PS
This assumes that there is nothing to distinguish one axis from another,
though, and most have nothing to commend them. If different axes are
interpreted differently (as they are in the formula) then there can be
as many as 720 different orders.


However you specify a plane in 4-space, you're looking at at least ten real
parameters - six rotations and a point being one example. Other ways of
defining a plane, such as three points or a point and two vectors, might be
considered, but both have twelve parameters and without some preprocessing
one can end up with distortions (if, for example you make the unwarranted
assumption that the two vectors are at right angles when in fact they need
not be). They may not be so useful, but if its easy to find the coordinates
of three noncolinear points in the plane you're interested in, then a
three-point specification of the plane may well be the way to go.


Morgan L. Owens
"Me? I just stick to the combinatorics..."



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

From: "Jonathan Osuch" <[e-mail]>
Subject: Re: (fractint) Re: 2D slices of Julibrot
Date: 06 Aug 2000 17:06:59 -0500

Morgan,

> Already, parameters are only listed in the <Z> screen if they actually
> appear in the code (if you only mention p1 and p3, then only p1 and p3 get
> listed). It's only sane to continue with this: if someone mentions (say)
> p12, p13, p14, p23, p24 and p34 (for representing rotations in 4-space) in
> their formula, then there is no point in the <Z> screen even trying to
list
> thirty-four parameters.

Even with only p1 through p3 there were cases that didn't work.  I ended up
reworking the logic, so it should always work now.  At least all my test
cases worked.  Just don't look closely at the <tab> screen.  8-))

> At present, the parameters are listed like this:
> Real portion of p1        space for 20 digits.
...
> But summat like:
>       Real portion           Imaginary portion
>  p1   Space for 20 digits.   Space for 20 digits.
>  p2   0                      0
...
> is only two characters wider, and almost halves the height. Tabbing
between
> fields would zigzag from left to right down the list. It has the bonus
> advantage of more closely relating the real and imaginary parts of a
> complex number (and also groups the real parts and imaginary parts
together
> for situations where only real parts are being used).

Yes, that would work very well.  It involves changing a routine used to
display all the menus in Fractint.  The changes will have to be done very
carefully.

Jonathan




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

From: "Damien M. Jones" <[e-mail]>
Subject: (fractint) Fractal-Art 2000 Contest
Date: 06 Aug 2000 23:10:55 -0400

Greetings folks,

It is my pleasure to announce that the Fractal-Art 2000 Contest web site is
officially open. It is available for your viewing pleasure here:

    http://www.contest2k.com/

This contains the official, final rules. Next weekend I'll open up the
submissions area, but I wanted to get the rules posted so people can look
at them. I expect most people who've been interested in the contest have
been preparing entries in advance, anyway. :)

Some have suggested that including the contest URL in your signature will
help get the site more exposure, especially amongst those who are not
fractal enthusiasts. Everyone is of course welcome to do this.

Damien M. Jones   \\
[e-mail]  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.


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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 07-08-00, (Storm Clouds [5])
Date: 07 Aug 2000 00:46:37 -0400 (EDT)


FOTD -- August 07, 2000 (Rating 5)

Fractal visionaries and enthusiasts:

The fractal weather today was rainy with occasional thunder.  In
honor of the damp occasion I produced a fractal that comes
complete with dark billowing storm clouds and streaks of
lightning.  It should come as no surprise that in the midst of
the turmoil lies the everpresent midget.

The iterated formula that created today's stormy fractal is a
close relative of the "Eutectic" formula of a week or so ago,
though today I changed the second exponent of Z from -11 to -15
and changed the multiplication factor to -0.95.

Though today's image was calculated by the MandelbrotMix4
formula, there may soon be a MandelbrotMix3 formula, which will
take advantage of the additional parameter entries in the latest
patch of Fractint.  Yes, I realize that the sensible name for
the next formula would be MandelbrotMix5, but I have never been
one to do sensible things.

With a running time of only a bit over one minute, the parameter
file will recreate the image as fast as the GIF file can be
downloaded from:

          <alt.binaries.pictures.fractals>

or from:

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

The fractal weather today was cloudy with moderate rain all
afternoon, accompanied by thunder at times.  The temperature of
75F (24C)was fair enough, but fractal cats don't like getting
their paws wet, so they stayed indoors all day.

The philosophy is coming, though it's not yet finished.
Tomorrow may be the big day, so check then to see.  Until next
time, take care, and just because I say something doesn't make
it true.


Jim Muth
[e-mail]


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

Storm_Clouds       { ; time=0:01:37.60 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 13
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+0.03468569020349364/+2.160487799666177/1\
  .060033e+008/1/-24.999 params=-11/-1.1/-1/-15/-1.95/0
  float=y maxiter=300 inside=0 logmap=22 periodicity=10
  colors=000007007<3>00D00E00F<2>40J60K72M83NA4O74O67N\
  68N6BN4DN4EM4HM4IM3JM3MM3NK2OK2RK2SK2UKFNJ<2>o7JrBI\
  <3>wNIyQIzUIzXHzZHzbHzeHzgH<2>zqHzrFzsEzsDzuBzuAzv8z\
  v8zw7yw6wy4vy3uz2sz2rz0<3>mz0kz0gz7cyI_vSXucSrnOoyKn\
  zHrvDuj8wZ4zN2zB4z87z78z6By3Ey2Fw0Iw0Kv0Mv0Ns0Or0Qq0\
  Rn2Um3Vj4Xi6Yj8ZkA_lBbmDcnFeoHfpIiqKgrJBscFtaIu_KvZN\
  wYQxVSyUXzSZzRazOczNfzMIzu<3>Yz_azVezQszBrzDrzDqzEqz\
  EozFozFnzHnzHmzHmzIkzI<3>izK0ze<2>0za<3>DzXHzVJzVMzU\
  QzSSzRVzQYzOazNczMfzK2zz7zwDzrHzmMzgRzcVzZ_zUezOez_\
  <3>fzYfzXfzXfzVfzVgzUgzUgzS<3>gzQgzQizO<3>izMizMizKB\
  zXEzVFzVHzUIzUKzSMzSNzSOzRRzRSzQUzQVzOYzOZzO<2>czMez\
  MfzKgzK0z00z00z02z03z06z07z0Az2Bz3Ez3Fz4Iz6Jz7Kz7Nz8\
  OzARzBSzDVzDXzEZzF_zHbzHczIfzJgzKvzeuzcuzbszbszarz_\
  <2>qzYqzYozXozVozVnzUnzSmzSmzR
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) Re: 2D slices of Julibrot
Date: 07 Aug 2000 23:36:03 +1200

At 17:06 06/08/2000 -0500, Jonathan Osuch wrote:
>Morgan,
> > ... summat like:
> >       Real portion           Imaginary portion
> >  p1   Space for 20 digits.   Space for 20 digits.
> >  p2   0                      0
>...
> > is only two characters wider, and almost halves the height.
>
>Yes, that would work very well.  It involves changing a routine used to
>display all the menus in Fractint.  The changes will have to be done very
>carefully.

Heh, I suspected as much :). How close to the horizon is a graphic-mode
windowing interface? Is it be worth the effort to do something fiddly if it
will be trashed soon enough anyway? After all, the suggested layout would
only stave off the problem of large numbers of parameters for a while, not
solve it - and something that would (like a scrolling list) would be even
harder to code.

Morgan L. Owens
"No, it's inevitable. No matter how many knobs are added and no matter what
they all do, some bright spark will think of something that needs another one."



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

From: "Jonathan Osuch" <[e-mail]>
Subject: Re: (fractint) Re: 2D slices of Julibrot
Date: 07 Aug 2000 07:47:48 -0500

Morgan,

> How close to the horizon is a graphic-mode
> windowing interface? Is it worth the effort to do something fiddly if it
> will be trashed soon enough anyway?

I wouldn't expect to see a graphic-mode windowing interface for a while
(6-12 months).  I am working on integrating the Allegro graphics package
into the Xfractint source.  This work is almost complete as far as the
graphics modes is concerned.  Once that is done, we need to port the code
over to djgpp and/or a windows compatible compiler.

The problem with making changes to the old source is that it takes time away
from the new source.  I do need a break occasionally, which is why I work on
tracking down bugs that are reported.

Jonathan



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

From: "Fernando Bresslau" <[e-mail]>
Subject: Re: (fractint) FOTD 07-08-00, (Storm Clouds [5])
Date: 07 Aug 2000 10:18:07 -0300

Hey, Jim, I┤m eager to get my hand ond you mandelbrotmix3!!
Fernando Bresslau
http://www.fractal.art.br



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

From: "Fernando Bresslau" <[e-mail]>
Subject: Re: (fractint) FOTD 07-08-00, (Storm Clouds [5])
Date: 07 Aug 2000 10:34:49 -0300


----- Original Message -----
Sent: Monday, August 07, 2000 10:18 AM


> Hey, Jim, I┤m eager to get my hand ond you mandelbrotmix3!!
> Fernando Bresslau
> http://www.fractal.art.br
>
>
>
> __________________________________________________
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> Talk to your friends online with Yahoo! Messenger.
> http://im.yahoo.com
>
> --------------------------------------------------------------
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> Unsubscribe:    [e-mail] "unsubscribe fractint"


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

From: "Fernando Bresslau" <[e-mail]>
Subject: Re: (fractint) FOTD 07-08-00, (Storm Clouds [5])
Date: 07 Aug 2000 10:36:16 -0300

Lots of typing mistakes, sorry. "my handS", "on" and "your".
yes, this was a useless email, but traffic is low anyway...
Fernando
----- Original Message -----

> Hey, Jim, I┤m eager to get my hand ond you mandelbrotmix3!!
> Fernando Bresslau
> http://www.fractal.art.br



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

From: "Fernando Bresslau" <[e-mail]>
Subject: Re: (fractint) FOTD 07-08-00, (Storm Clouds [5])
Date: 07 Aug 2000 10:36:27 -0300

Lots of typing mistakes, sorry. "my handS", "on" and "your".
yes, this was a useless email, but traffic is low anyway...
Fernando
----- Original Message -----

> Hey, Jim, I┤m eager to get my hand ond you mandelbrotmix3!!
> Fernando Bresslau
> http://www.fractal.art.br



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

From: "Ivan Muccinelli" <[e-mail]>
Subject: (fractint) fractal 2D/3D animation
Date: 07 Aug 2000 21:59:07 +0200

Hi everybody. I wrote a program (another one!) to generate 2d/3d animations
(fli/flc) with Fractint, with color map transition, rotation, morphing,
output to Povray 3.0, user interface, and other. Obviously freeware. If
someone is interested in looking at it (and eventually tell me what he
thinks about it), I've put a beta version at:
http://web.tiscalinet.it/freego_rifero.
Sorry if you're not interested.
Bye



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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 08-08-00, (Hopi [6])
Date: 08 Aug 2000 01:04:51 -0400 (EDT)


FOTD -- August 08, 2000 (Rating 6)

Fractal visionaries and enthusiasts:

The FOTD is a little late tonight due to a 2-hour power failure
caused by a crackling electrical storm.  They said there were
over 3000 lightning strikes in the area this evening.  At least
1000 must have been within a half kilometer of Fractal Central.
Luckily, I had found my fractal before the power went off.

The formula 10.45(Z^(-1.2))+0.95(Z^(-11))+(1/C) was iterated,
and the bailout was raised to 10,100 to produce the fractal.
The parent fractal is another variation of the parent fractal of
the "Circle" image of a week or so ago.

This image was once again created with the MandelbrotMix 4
formula.  I'm working on MandelbrotMix3, which will begin
producing FOTD fractals as soon as I get it right.

I named the image "Hopi" because of the hoop around the tiny
midget at the center, and also because the Hopis of the
southwest USA supposedly have the ability to create rain by
performing their rain dance.  After seeing the deluge of rain
this evening, I'm convinced that some Hopis must have been doing
a rain dance in the vicinity.

With a render time of 5 minutes, the parameter file is a bit
slow.  Relief may be found by downloading the fully rendered GIF
image from the Usenet binary group:

          <alt.binaries.pictures.fractals>

or from Paul Lee's web site at:

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

The fractal weather today was very warm and muggy, with a light
thunder-shower in the afternoon and a real whopper in the
evening.  The temperature of 93F (34C) was a bit too warm for
the fractal cats, who remained inside, within a short dash of
their hiding places when the storms came up.

Sorry, philosophy-starved fans, the philosophy went nowhere
again today.  But keep checking -- one of these days you'll be
pleasantly surprised.  Until tomorrow, when philosophy or not,
there will be a fractal, take care, and never give up hope.


Jim Muth
[e-mail]


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

Hopi               { ; time=0:05:00.55 -- SF5 0n a p200
                     ;  Version 2000 Patchlevel 13
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+3.23484599515930000/+1.31138272396386500\
  /1.479015e+011/1/87.497/0.002 params=-11/-1.2/-1/-11\
  /-1.95/10000 float=y maxiter=1200 bailout=25 inside=0
  logmap=102 mathtolerance=/1 periodicity=10
  colors=000W0_<3>Y1bZ4cZ7d_6h_4k`2w`1zN0ZH0ZA09402000\
  0100700B00H00L00R00Y00a00h00l00s00y0<2>0z09z0Gy0Ns0V\
  k0ac0iY0qQ0yK0<2>kL1<3>TLIOLNKLRGLWBL`7Ld4Lh6Qd7Ta9Y\
  ZA`YBdVDhRElQGoNHtKIxHKzGLzDNzANz9RzEVzKYzO`yVdv`hsd\
  koknlqqividy<3>HTzAQz4Nz2Vz1`v<3>0yR0zK0zK0zI<2>0zG1\
  zG2zE2zE4yD6yD6xBYh07xB9vAAv9Av9Bt7Dt7Es6Es6Gs4Hq2Iq\
  2Io1Ko1Ln0Ln0Nn0Ol0Ql0Qk0Rk0Tk0Vi0Vi0Wh0Yh0c`zaaz<6>\
  aazaazaaz<3>aayaaxaaxaavaavaataatacsacsacqacoaco`cn`\
  cn`cl`cl`ck`ck`ci`ci`dh`ff`hf`id`kd`lc`nc`oa`qa`s``t\
  ``vZ`xY`yY`zW`zW`zVZzVZzTZzTZzRZzRZzQZzOZzOZzNZzNZzL\
  ZzLZzKZzKZzI<2>ZzGZzGZzEZzEZzDZzDZzB<2>YzAYz9Yz7Yz7Y\
  z6Yz6Yz4Yz4Yz2<3>Yz0Yz0Yz0<3>Yz0Yz0Yz0<2>Yz0oztnzsnz\
  qnzonzolznlzllzklzknz0iz0dz0`z4Wz9RzDOzH<2>BzV7zZ4zc\
  0zh<3>0zz0zy1zx
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: Jim Muth <[e-mail]>
Subject: (fractint) Re: FOTD 07-08-00
Date: 08 Aug 2000 01:08:20 -0400 (EDT)

At 10:18 AM 8/7/00 -0300, Fernando Bresslau wrote:

>Hey, Jim, I=B4m eager to get my hand ond you mandelbrotmix3!!
>Fernando Bresslau

I'm working on it, but it will be a few days before the new formula=20
is ready.  I haven't even decided yet what I want it to do!

Jim M. =20


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

From: "Ivan Muccinelli" <[e-mail]>
Subject: (fractint) fractal 2D/3D animation
Date: 08 Aug 2000 19:59:08 +0200

Hi everybody.
If someone of you downloaded my program for 2d/3d fractal animation, well, I
apologize for the mistake... I forgot to include the tutorial file in the
zip archive. Anyway, you can download it at the web site now (together with
a complete beta2). It's just 10 Kb zipped, not a great traffic.
Thanks to Mark Christenson who told me.
Bye.
Ivan



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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 09-08-00, (A Fractal for the Ages [7])
Date: 08 Aug 2000 22:10:39 -0400 (EDT)


FOTD -- August 09, 2000 (Rating 7)

Fractal visionaries and enthusiasts:

The formula 10Z^(-1.1)+0.95Z^(-11)+(1/C) was iterated to produce
today's image.  Although the parameters appear quite a bit
different from those of the past several days, the changes
amount to no more than a simplification of the old parameters.
The images the formulas draw remain unchanged.

I named today's fractal "A Fractal for the Ages", not because it
is so great that it will be remembered through the ages, but
because I liked the sound of the phrase.  The image is rather
striking, with a kind of ceremonial effect that is hard to
describe.  In my current opinion it rates a 7; tomorrow or next
month I may feel entirely different about it.

The 5-minute draw time stretches the limits of reasonability.
To make things more reasonable I have posted the GIF image to
the Usenet group:

          <alt.binaries.pictures.fractals>

and to the Web at:

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

The fractal weather today was sunny with no rain for a change.
But the fractal cats decided that the temperature of 95F (35C)
was a bit too warm, and passed the day in the coolness of the
air-conditioned Fractal Central.

The philosophical ponderings, which have been so conspicuously
absent lately, are once again absent today.  But anything worth
having is worth waiting for, so keep the faith and eventually
the enlightenment will come.

For now, I'm going to call it a night, close down Fractal
Central, enlighten myself into the chair in front of the TV, and
see how junky a show I can find.  Until tomorrow, take care.


Jim Muth
[e-mail]


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

AFractalForTheAges { ; time=0:05:13.45 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 13
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+0.7081770276621348/-18.7005721594379/1.8\
  84167e+008/1/92.499 params=10/-1.1/0.95/-11/0/400
  float=y maxiter=1200 inside=0 logmap=98 periodicity=9
  colors=000I8`<2>Q2U<2>446UK7XP7mX8ra8zcEjYJwWPYMUsK_\
  mIVrG1<6>S74O64K44<3>50565J69X<3>aUHiZDqc9<4>g_LeZNc\
  ZP<2>YXWWWYUTY<3>NJZOMXOOZPS`PX`Q`aQd`RiZ<3>TrUTtTWu\
  WYwY`z_<3>izgkzijxi<2>hqihnigmigli<3>dUidPicKicKi<3>\
  _chZggYjg<3>UpfTqfTrf<4>JuiHuiFvj<3>8wk<6>JxgLxfMxf<\
  3>Sxd<5>Qm_PkZPiZ<3>ObW<2>9WMX48<3>iUJm_MpfPslSvrU<3\
  >TdNM`LEYJ0RM7UHbh1<3>DXB6UEKVceWv<3>LT`FSWASQ5RLUQY\
  PRVKRS<2>5VJ8WZ<3>3_O2`L1aIsbO<3>BfHDgK6hI0izojq<3>M\
  nWEoQ7pLWqM<2>8tHPu5Gv98wDQxPMyN<3>9zJ6zI3zH5z62zBoz\
  Y<3>QzPJzMDzK6zIjzY<3>9zJ4zt<3>2z_1zV1zQ0zLWz_<3>AzM\
  5zJfvCLzEvz_TzQFze9zj4zn<3>Fzc
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: "Fernando Bresslau" <[e-mail]>
Subject: Re: (fractint) fractal 2D/3D animation
Date: 08 Aug 2000 22:17:46 -0300

Something was missing, you could tell, but now that you said so, it┤s
obvious. I thought we should figure it all by ourselves.
Thanks,
Fernando.


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

From: "Andrew Coppin" <[e-mail]>
Subject: Re: (fractint) Re: 2D slices of Julibrot
Date: 09 Aug 2000 13:34:39 GMT

>From: "Morgan L. Owens" <[e-mail]>
>Reply-To: [e-mail]
>To: [e-mail]
>Subject: Re: (fractint) Re: 2D slices of Julibrot
>Date: Sat, 05 Aug 2000 13:53:14 +1200
>
>At 07:48 04/08/2000 -0500, Johnathan Osuch wrote:
>>Jim,
>>
>> > Four more parameter entries are
>> > needed if one wishes to achieve any possible rotation centered at any
>> > arbitrary point in the 4-D Julibrot object -- two entries to define the
>> > remaining rotations, two entries to define initial Z.  Perhaps the
>> > developers will take the hint.
>>
>>I can add two more complex parameters easily.  And will do so today or
>>tomorrow.  Beyond that, restructuring will be necessary.  I need to be
>>spending time on my job search, so the restructuring won't happen any time
>>soon.
>
>It strikes me that it may prove worthwhile in the longer term (it would no
>doubt need significant redesign, though) to allow for an arbitrary number
>of parameters (p1, p2, p3, ...), rather than hardcoded restrictions.

Yes indeed!

>Morgan L. Owens
>"But if you need 50+ parameters, you're probably trying to do too much at
>once."

I say again... yes indeed!

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

From: "Andrew Coppin" <[e-mail]>
Subject: (fractint) More 4D Slicing...
Date: 09 Aug 2000 14:08:08 GMT

G... what with patch 13... All those lovely parameters to play with... Must
give that a try!

Eeek! If the Julibrot for complex numbers is 4D... what on earth is it for
hypercomplex numbers!?!?! 4D Julias and a 4D Mandelbrot... An 8 dimensional
object? Too much!!!

Hmm... But hey... I never really liked hypercomplex numbers. Maybe it's
because they're not a proper field... maybe it's the daft appearence on the
Mandelbrot... But what I really did like was the cubic Mandelbrot.

Apparently (though I don't know how!) every quadratic fractal is equivalent
to Z^2 + C. Go figure. But anyway... Apparently every cubic fractal is
equivalent to Z^3 - 3(A^2)Z + B. Now, with each orbit determined by 2
complex parameters, both Julias and Mandelbrot are now 4D... Draw that! The
real pain with the Mandelbrot though is that there are two critical point to
iterate: {+A, -A}. The basin for +A is called M+, and for -A it's M-. The M
set in then the intersection. Exactly how you tell fractint that is another
matter (I have a formula somewhere though...)

Well, I'm gonna go off and draw that... maybe... as well as all the other
stuff I said I'd do... (Man! I need more free time!!!)

PS. There is a Mandeloid based on the cubic Newton formula... It's like a
rotated figure of 8. Anyone know the details?...

________________________________________________________________________
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-------------------------------------------------------------------------------

From: "Andrew Coppin" <[e-mail]>
Subject: (fractint) More 4D Slicing...
Date: 09 Aug 2000 14:08:08 GMT

G... what with patch 13... All those lovely parameters to play with... Must
give that a try!

Eeek! If the Julibrot for complex numbers is 4D... what on earth is it for
hypercomplex numbers!?!?! 4D Julias and a 4D Mandelbrot... An 8 dimensional
object? Too much!!!

Hmm... But hey... I never really liked hypercomplex numbers. Maybe it's
because they're not a proper field... maybe it's the daft appearence on the
Mandelbrot... But what I really did like was the cubic Mandelbrot.

Apparently (though I don't know how!) every quadratic fractal is equivalent
to Z^2 + C. Go figure. But anyway... Apparently every cubic fractal is
equivalent to Z^3 - 3(A^2)Z + B. Now, with each orbit determined by 2
complex parameters, both Julias and Mandelbrot are now 4D... Draw that! The
real pain with the Mandelbrot though is that there are two critical point to
iterate: {+A, -A}. The basin for +A is called M+, and for -A it's M-. The M
set in then the intersection. Exactly how you tell fractint that is another
matter (I have a formula somewhere though...)

Well, I'm gonna go off and draw that... maybe... as well as all the other
stuff I said I'd do... (Man! I need more free time!!!)

PS. There is a Mandeloid based on the cubic Newton formula... It's like a
rotated figure of 8. Anyone know the details?...

________________________________________________________________________
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-------------------------------------------------------------------------------

From: [e-mail]
Subject: (fractint) FOTD 10-08-00  (A Pleasant Fractal [3])
Date: 10 Aug 2000 00:07:23 EDT


FOTD -- August 10, 2000 (Rating 3)

Fractal visionaries and enthusiasts:

Today's fractal is a pleasant one, which is the reason I named
it "A Pleasant Fractal".  The image is available at:

          <alt.binaries.pictures.fractals>

and:

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

The temperature reached 88F (31C) this afternoon.

I'll be back tomnorrow.  Until then, take care, and be of good
cheer as you wonder.


Jim Muth
[e-mail]


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

A_Pleasant_Fractal { ; time=0:09:10.57 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 13
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+3.993309831890356/+1.652041488977905/100\
  9212/1/-45 params=10.78/-1.1/0.98/-11/0/100 float=y
  maxiter=1200 inside=0 logmap=145 periodicity=10
  colors=000BXr5Yu<24>nhpohoqio<3>xjo<19>Q_PP_ONZM<2>I\
  YIGXHGWH<24>7t47u37v3<3>6y1<7>NgJPeLRcN<3>ZWV_YW<16>\
  UBNU9MU8M<3>T3K<3>kAcpBhuDmyEr<3>Zhd<13>PkYOkYNlX<3>\
  LlWUU`bBd<9>PFWOGVNGU<3>IHR_AK<3>TAERADQAC<2>LA8aYBq\
  tE<8>_vWYvYWw_<3>Owf<3>SqdTodUndUmc<7>`uaavabwacx`cy\
  `<5>hzZizZjzZ<3>mzY<2>XzgjzT<3>ozSpzSqzS<8>Fzo
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================

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

From: "Fernando Bresslau" <[e-mail]>
Subject: Re: (fractint) FOTD 10-08-00  (A Pleasant Fractal [3])
Date: 10 Aug 2000 09:35:37 -0300

Hi, Jim, but now you got me curious!
compare today┤s FOTD and the one in 09 July, 2000, Nothing Much. The image
is the same one!
Just an observer,
Bresslau, Brazil
http://www.fractal.art.br


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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 11-08-00  (Homespun Midget [8])
Date: 10 Aug 2000 22:12:19 -0400 (EDT)


FOTD -- August 11, 2000 (Rating 8)

Fractal visionaries and enthusiasts:

You may have noticed that yesterday's FOTD discussion was
unusually terse, and the fractal not all that outstanding.  The
reason was that I had saved the original and far better
discussion and image on a floppy disk, to transfer the files
from the Fractal Central branch office to Fractal Central
itself.  Somehow I lost the disk during the transport, which
made me very angry.  So I whipped out a new image in a few
minutes, wrote a few words, and found that my Mindspring ISP was
down.

But all that was yesterday.  This is today, and after
yesterday's pathetic offering, we once again crank it up with a
fractal that IMO rates an 8.  The formula responsible for
today's image is -1Z^(-11)-11Z^(-1.1)+(1/C), a formula that
draws a parent fractal that must be seen to be believed.  The
parent is so unusual in fact that I might devote the entire
month of September to exploring it.

I named today's picture "Homespun Midget" because that phrase
came to mind while I was studying the image for a fitting name.
Actually, I would rather simply give my fractals numbers than
attach names to them.  But names do add a certain individuality
to a picture, and occasionally I actually surprise myself with
the poetry in a few of the FOTD names.

The parameter file of today's image takes 10 minutes to render
on a 200mhz Pentium, 5 minutes or less on the fastest machines.
The GIF file downloads in less than two minutes.  The choice of
which route to take to the image is up to the potential viewer.

The GIF image is available on Usenet at:

          <alt.binaries.pictures.fractals>

and on the Web at:

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

The fractal weather today was mostly sunny.  Surprisingly, no
rain fell.  The temperature of 87F (30.5C) was just right for
the cats.  Tippy even chased a squirrel, which scampered up a
tree and scolded furiously.

Disappointingly, I have no fractal philosophy today.  In fact, I
have no philosophy of any kind.  I have plenty to write about,
but I just can't seem to get started.  It must be a case of
writer's block.  Perhaps I'll get unblocked tomorrow, perhaps
not.  Check then to see.  And even if you find no philosophy,
the fractal will arrive on schedule and be worth viewing.

Until then, take care, and see you soon.


Jim Muth
[e-mail]


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

Homespun_Midget    { ; time=0:10:09.29 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 13
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-2.87822221351368700/+4.42190092650380100\
  /446376.4/1/180 params=-1/-11/-11/-1.1/0/100 float=y
  maxiter=1600 inside=0 logmap=196 periodicity=10
  colors=000mKlmKlmKjmKh<3>mKcmKbmK`<5>mFQmEOmDMmDLmCJ\
  <3>j8Bi79h25<12>QLHPMHONI<3>ITM8WK<10>cPSeOShOT<2>qM\
  VtLWwJZvLWuNU<2>tTNtWDtVG<2>pUNoUQnURmTSlST<2>iPUhOU\
  gNTfMShLRjKQlJPlEO<3>nNGnQAnS9<5>pdFpfGphH<3>qqLywH<\
  2>mqNpvR<8>RSKOOJLLI<3>97F20C<3>B7HD9JFAKHCLKBK<15>F\
  RXESYETZ<3>DXaKC5HJGFQRDXa8bo<11>KcbLcaMc`<3>QcXRfW_\
  i_XoaUi_<3>ILGFFBEHG<3>DLWDN`COdCPhCQl7Pq<15>hdikeim\
  fh<3>vigmqPdvD<3>arM`qO`pQ<3>YmYXm_Xma<3>UmiTmkTmm<3\
  >SmuSmwSmxSmy<6>Smz
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: "Ton Koppens" <[e-mail]>
Subject: (fractint) Re: colormaps
Date: 12 Aug 2000 00:17:04 +0200

Hello list,

Recently I reacted to a query of Succubus for colormaps and the response was
a bit more than I expected.
Therefore I have set up a webpage with my collection of maps, parameters,
formulas, IFS & L-system-files wich I have collected over the last years +
the Fractint manual in Word format.
The formula.zip is for 99% the latest orgform collection to wich were added
the formulas of Greg McClure and the MMix4-Lake formulas of Sylvie Gallet.
I hope the new users of Fractint have some use for these files.


The url:

http://members.xoom.com/ton_koppens/index.html


Regards and a nice weekend,


Ton


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

From: "Ton Koppens" <[e-mail]>
Subject: (fractint) Gallery update & some pars
Date: 12 Aug 2000 00:29:23 +0200

Hello list,


I've updated and rearranged my Fractint galleries.
The pars of some additions can be found below, I've also added zips of the
pars and formulas used for download.
Comments are always welcome.

The url:

http://home.hccnet.nl/t.koppens/index.html


Regards & a nice weekend,


Ton


==================================================================


00051001           { ; uses jacco293.map
                     ; CalcTime   0:00:58.44 at 800x600 on a P166
                     ; Image Copyright 10 May 2000 by Ton Koppens
                     ; e-mail:[e-mail]
                     ;  Version 2000 Patchlevel 8
  reset=2000 type=formula formulafile=_m.frm formulaname=ManLakefnfn
  ismand=y function=sin/sqr center-mag=-0.315635/0.0598998/2.60319
  params=1/0.5/16/45/0.2/300 float=y
  colors=A0F<12>705704603602601510<11>M9COADPAE<3>VEIWFIXHJ<20>seRtfRuhS<2\
  >xkTzmUylUxkTwjSwjWsfTvi_obVthbkZXsgfgVZrficR_pem_NaodpWJcmctREenfuPDbpi\
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  6O<7>F3YF2ZG2_G1`H1aI0c<29>B0G
  }

00051003           { ; uses jacco291.map
                     ; CalcTime   0:00:31.08 at 800x600 on a P166
                     ; Image Copyright 10 May 2000 by Ton Koppens
                     ; e-mail:[e-mail]
                     ;  Version 2000 Patchlevel 8
  reset=2000 type=formula formulafile=_m.frm formulaname=ManLakefnfn
  ismand=n function=cos/zero center-mag=-0.578723/0.826177/13.84275
  params=0.2/0.8/16/34/0.2/300 float=y maxiter=647 decomp=256
  biomorph=1
  colors=acdbceeghhilikmkknkmonnqmoqqqtoqsttwqsuwwzsuxvvyrtwuvyrtvtuxqsvsu\
  xprurtworurtvnqtqstnpsprrmoqoqplnononkmmmnljlkkmjikijkhhjgijegiehicfhcgh\
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  GG556JKKBBCNOPGHIQSTMNOUWXSSUY_`XY_
  }

00061303           { ; CalcTime   0:00:39.88 at 800x600 on a P166
                     ; Image Copyright 13 Jun 2000 by Ton Koppens
                     ; e-mail:[e-mail]
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=_m.frm
  formulaname=MMix4-lake-0078 function=asin
  center-mag=-0.05206508135169012/+0.05659432387312216/66.66667
  params=0/0/45/10/0.2/300 float=y maxiter=647 biomorph=1
  colors=gWVMRE<3>4A0<6>U_SXcW`g_<3>ovo<5>SZXNUTJQQ<3>3AD<6>SVcVYgZ`k<3>ll\
  z<5>PSfKObGK_<3>06M<5>TZfYbibgl<3>uzz<2>uvvtuutsssrq<11>n`ZmZXmYV<2>kTQj\
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  R<3>sve<6>QVI
  }

00072605           { ; CalcTime   0:29:43.81 at 640x480 on a 486DX 100
                     ; Image Copyright 26 Jul 2000 by Ton Koppens
                     ; e-mail:[e-mail]
                     ;  Version 2000 Patchlevel 11
  reset=2000 type=formula formulafile=_m.frm
  formulaname=MandelbrotMix4 function=tan passes=t
  center-mag=0/0/0.6666667 params=1/-4/0.5/0.6/0.8/0.1 float=y
  maxiter=300 bailout=25 inside=bof60 symmetry=none periodicity=10
  colors=acdKKIMLEFEALKCGE9MKCHE8OKCIE7PLBJE5RLBMG5SLBPI6UMASK7VMAVM8XN9aQ\
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  >`YJeaNifR<3>zxf<4>ZYOTSKNNG<3>000<4>000<4>SRJYXNcaR<3>zxf<4>ZYOTSKNNG<3\
  >000<4>000<4>000344000788000BCC000FGG556JKKBBCNOPGHIQSTMNOUWXSSUY_`XY_bc\
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  QSQPPUUVPONWXZPOLZ`bONJUWWNMIPQPNMG
  }

00072606           {; CalcTime   0:34:37.28 at 640x480 on a 486DX 100
                     ; Image Copyright 26 Jul 2000 by Ton Koppens
                     ; e-mail:[e-mail]
                     ;  Version 2000 Patchlevel 11
  reset=2000 type=formula formulafile=_m.frm
  formulaname=MandelbrotMix4 function=conj passes=t
  center-mag=-1.06416/-0.0250522/0.8130081 params=0.5/-1/0.5/0.8/0.6/1
  float=y maxiter=300 bailout=25 inside=bof60 symmetry=none
  periodicity=10
  colors=000wuu<6>hZTfWPcTL<2>YJ9VF4SD4<3>C62842421445<4>LHBOJCRME<2>`THdW\
  JfXJ<3>l_In`IoaI<12>bF8aD7`B7<2>Y54X33Y65<8>kXOm_QnbS<2>skYuo`un`<32>eGL\
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  ZL9Y<3>J8XJ8WI8V<22>426325214213112000<23>324325325<2>325436534423<7>pnn
  }


00080605           { ; ;
                     ; CalcTime   0:04:24.57 at 640x480 on a 486DX 100
                     ; Image Copyright 06 Aug 2000 by Ton Koppens
                     ; e-mail:[e-mail]
                     ;  Version 2000 Patchlevel 11
  reset=2000 type=formula formulafile=_m.frm
  formulaname=MMix4-lake-0169 function=atanh passes=3
  center-mag=-0.78844431106694040/-0.10155693226581070/109.3974/1.2007/0/-\
  43.007 params=0/0/45/0/0.2/275 float=y maxiter=647 inside=atan
  decomp=256 biomorph=1
  colors=`M1cG9<3>_96Z75Y54X33<9>kXOm_QnbS<2>skYuo`un`<3>sjZriYqhY<27>A868\
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  OvuNvvPvvOvvQ<13>plMpkMokLojLniL<14>`O9_N9ZL8<2>WH5VF4UF4<16>B74A74964<3\

  >445<4>LHBOJCRME<2>`THdWJfXJ<3>l_In`IoaI<10>dIA
  }





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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 12-08-00  (The Pinkness of Infinity [5])
Date: 11 Aug 2000 23:40:01 -0400 (EDT)


FOTD -- August 12, 2000 (Rating 5)

Fractal visionaries and enthusiasts:

For today's average-quality fractal it's back to the formula
-1Z^(-11)-11Z^(-1.1)+(1/C), with a bailout radius of 200.  As I
stated in yesterday's FOTD, this formula draws a most unusual
fractal, which is too large to fit on the default screen, but is
worth closer examination from one end to the other.

A prominent feature of this parent fractal is a large fan-shaped
object.  Today's scene with its unusual midget lies buried deep
at the edge of this fractal fan, where chaos begins.

I named the picture "The Pinkness of Infinity" mostly because I
liked the poetic sound of the phrase.  The 16 minutes required
to render the scene from the parameter file is not so poetic
however.  But as always, relief is as close as the internet and
the Usenet group:

          <alt.binaries.pictures.fractals>

The image has also been posted to the Web at the URL:

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

The fractal weather today was rather pleasant, with mostly sunny
skies and a temperature of 86F (30C).  The fractal cats approved
of the conditions, and showed their approval by spending most of
the afternoon in the yard.  In the evening, when the mosquitoes
got too thick, they came indoors.

I did a bit of philosophical pondering this afternoon on the
question of whether fractals are art, a topic that has been
keeping the UltraFractal list so busy these past few days.  Of
course it's a futile topic, since no definite answer is
possible, but it never fails to bring a flood of comments.

Why, I wondered, does this one topic bring such activity every
time it arises?  Sometimes I feel that the UF list exists only
as a forum for fractal artists to re-assure each other that they
are indeed creating real art.  I had assumed that fractals are
art if that's what the creator intends, and that they are
mathematical curiosities if this aspect is emphasized.  In my
case, I consider my FOTD's to lie in a grey area somewhere
between art and math.

IMO, It is the attitude of the creator at the time of creation
that determines whether an image is simply an illustration of a
pre-existing object or a newly-created work of art.  If we want
our fractal images to be art, then they are art.  We don't need
the rest of the world reassuring us that we have indeed created
a work of art.  If we want our fractals to be illustrations of
the amazing things numbers can do, then they are such
illustrations.  If we want our pictures to be a bit of both, as
I do, then they are a blend of art and mathematics.

On the other hand, I can understand why traditional artists
denigrate fractals as art.  By profession I am a graphic artist.
At one time, the tools I worked with were things such as a
light-table, rubber cement, x-acto knife, straight edge,
t-square, ruling pen, air-brush, zip-a-tone, and so on.  I spent
years becoming skilled in the use of these things.  Then
computers came.  Of course, a computer now does all this tedious
work far better than I ever could by hand.  I don't resent
computers, for they make my work far easier, but I miss the old
days of 25 years ago, when it was not so easy to produce a clean
and accurate camera-ready mechanical.

Having spoken my bit, I find it's time to shut down the Fractal
Central and call it a night.  Until tomorrow, take care, believe
that fractals are art, and they'll be art.


Jim Muth
[e-mail]


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

PinknessOfInfinity { ; time=0:16:15.15 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 13
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+4.737422431714508/+0.4307302795571638/2.\
  330699e+007/1/75 params=-1/-11/-11/-1.1/0/100 float=y
  maxiter=1600 inside=0 logmap=299 periodicity=10
  colors=000B5M<6>84K74J74J<3>54I<13>Z9f`AhbAi<3>jBplE\
  rmHmhKhdNc`QZYRU<2>YUFYVG<3>YZQY_SY`UYaXYbZWdb<5>bVW\
  dTVeSUfQTgPShNRjKP<16>afXagY`iY<3>Zn_OnWbo_km_<3>e`l\
  dXpeUsfRvgPx<5>mKynJyoIzpHzqHz<3>xDzzDzwCx<3>kCshCqd\
  Cp<8>PBdNBcLBa<2>GBYEBXB8V<12>QadRceSef<3>Wnh<3>9fI4\
  hB<6>4QF4NG4LH<2>4DI4AJ26A<2>8CZ6DhAEfDFe<3>VI`ZJZcK\
  YhLXnLYjLWfLUaLSXLQ<4>LLGJLEGLC<3>7L4PHk<2>_Znccr<12\
  >RmPQnMPoK<3>LrBGs8<3>VvBYwCaxC<2>kzEbzEUzMLzU2zV<2>\
  UznHzQ<8>CzM
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: "S. Wyszkowski" <[e-mail]>
Subject: Re: (fractint) FOTD 12-08-00  (The Pinkness of Infinity [5])
Date: 12 Aug 2000 01:14:31 -0400

Let me make a brief addendum to Jim Muth's remarks of August 11 (with which
I agree): Fractals, per se, arise entirely automatically out of certain
algorithms. Whether they be art or not, their creation involves no artist,
except in so far as a particular algorithm may be consciously and
knowledgeably chosen with an artistic purpose in mind. The artist appears
when a particular segment of the fractal image is selected for aesthetic
reasons ("found art") and again when the selected segment is consciously
modified to suit artistic purposes at which point it may cease being a
fractal (and become art?).

S. W. Paul Wyszkowski
Images Invented and Discovered
[e-mail]

----- Original Message -----
Cc: <[e-mail]>
Sent: Friday, August 11, 2000 11:40 PM>
>
> I did a bit of philosophical pondering this afternoon on the
> question of whether fractals are art, a topic that has been
> keeping the UltraFractal list so busy these past few days.  Of
> course it's a futile topic, since no definite answer is
> possible, but it never fails to bring a flood of comments.
>
> Why, I wondered, does this one topic bring such activity every
> time it arises?  Sometimes I feel that the UF list exists only
> as a forum for fractal artists to re-assure each other that they
> are indeed creating real art.  I had assumed that fractals are
> art if that's what the creator intends, and that they are
> mathematical curiosities if this aspect is emphasized.  In my
> case, I consider my FOTD's to lie in a grey area somewhere
> between art and math.
>
> IMO, It is the attitude of the creator at the time of creation
> that determines whether an image is simply an illustration of a
> pre-existing object or a newly-created work of art.  If we want
> our fractal images to be art, then they are art.  We don't need
> the rest of the world reassuring us that we have indeed created
> a work of art.  If we want our fractals to be illustrations of
> the amazing things numbers can do, then they are such
> illustrations.  If we want our pictures to be a bit of both, as
> I do, then they are a blend of art and mathematics.
>
> On the other hand, I can understand why traditional artists
> denigrate fractals as art.  By profession I am a graphic artist.
> At one time, the tools I worked with were things such as a
> light-table, rubber cement, x-acto knife, straight edge,
> t-square, ruling pen, air-brush, zip-a-tone, and so on.  I spent
> years becoming skilled in the use of these things.  Then
> computers came.  Of course, a computer now does all this tedious
> work far better than I ever could by hand.  I don't resent
> computers, for they make my work far easier, but I miss the old
> days of 25 years ago, when it was not so easy to produce a clean
> and accurate camera-ready mechanical.
>
> Having spoken my bit, I find it's time to shut down the Fractal
> Central and call it a night.  Until tomorrow, take care, believe
> that fractals are art, and they'll be art.
>



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

From: "Ricardo M. Forno" <[e-mail]>
Subject: RE: (fractint) FOTD 12-08-00  (The Pinkness of Infinity [5])
Date: 12 Aug 2000 21:57:42 -0300

Let me add another comment:
Is artistic photography art?

----- Original Message -----
Cc: <[e-mail]>
Sent: Saturday, August 12, 2000 2:14 AM


> Let me make a brief addendum to Jim Muth's remarks of August 11 (with
which
> I agree): Fractals, per se, arise entirely automatically out of certain
> algorithms. Whether they be art or not, their creation involves no artist,
> except in so far as a particular algorithm may be consciously and
> knowledgeably chosen with an artistic purpose in mind. The artist appears
> when a particular segment of the fractal image is selected for aesthetic
> reasons ("found art") and again when the selected segment is consciously
> modified to suit artistic purposes at which point it may cease being a
> fractal (and become art?).
>
> S. W. Paul Wyszkowski
> Images Invented and Discovered
> [e-mail]
>
> ----- Original Message -----
> From: "Jim Muth" <[e-mail]>
> To: <[e-mail]>
> Cc: <[e-mail]>
> Sent: Friday, August 11, 2000 11:40 PM>
> >
> > I did a bit of philosophical pondering this afternoon on the
> > question of whether fractals are art, a topic that has been
> > keeping the UltraFractal list so busy these past few days.  Of
> > course it's a futile topic, since no definite answer is
> > possible, but it never fails to bring a flood of comments.
> >
> > Why, I wondered, does this one topic bring such activity every
> > time it arises?  Sometimes I feel that the UF list exists only
> > as a forum for fractal artists to re-assure each other that they
> > are indeed creating real art.  I had assumed that fractals are
> > art if that's what the creator intends, and that they are
> > mathematical curiosities if this aspect is emphasized.  In my
> > case, I consider my FOTD's to lie in a grey area somewhere
> > between art and math.
> >
> > IMO, It is the attitude of the creator at the time of creation
> > that determines whether an image is simply an illustration of a
> > pre-existing object or a newly-created work of art.  If we want
> > our fractal images to be art, then they are art.  We don't need
> > the rest of the world reassuring us that we have indeed created
> > a work of art.  If we want our fractals to be illustrations of
> > the amazing things numbers can do, then they are such
> > illustrations.  If we want our pictures to be a bit of both, as
> > I do, then they are a blend of art and mathematics.
> >
> > On the other hand, I can understand why traditional artists
> > denigrate fractals as art.  By profession I am a graphic artist.
> > At one time, the tools I worked with were things such as a
> > light-table, rubber cement, x-acto knife, straight edge,
> > t-square, ruling pen, air-brush, zip-a-tone, and so on.  I spent
> > years becoming skilled in the use of these things.  Then
> > computers came.  Of course, a computer now does all this tedious
> > work far better than I ever could by hand.  I don't resent
> > computers, for they make my work far easier, but I miss the old
> > days of 25 years ago, when it was not so easy to produce a clean
> > and accurate camera-ready mechanical.
> >
> > Having spoken my bit, I find it's time to shut down the Fractal
> > Central and call it a night.  Until tomorrow, take care, believe
> > that fractals are art, and they'll be art.
> >
>
>
>
> --------------------------------------------------------------
> 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"


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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 13-08-00  (Fractal Coral Reef [7])
Date: 12 Aug 2000 22:20:52 -0400 (EDT)


FOTD -- August 13, 2000 (Rating 7)

Fractal visionaries and enthusiasts:

On the wall opposite my desk hangs a framed print of a painting
by the surrealist artist Magritte.  It's one of his day-night
pictures, titled "The Kingdom of Light".  I admire the picture
for its unexpected juxtaposition, but about 3 weeks ago I
noticed that the frame was hanging slightly crooked.  A quick
examination revealed that a mud-daubing wasp had started a nest
behind the upper corner of the frame, and the weight of the mud
was causing the picture to hang crooked.

As I studied the nest, the wasp suddenly arrived, carrying a
fresh load of mud, which it neatly daubed onto the growing nest.
When it had finished, the wasp went straight to the window,
which has a small hole about 2cm wide in the corner of one of
the panes.  It found the hole with no difficulty and went
outside to gather more mud.  About 10 minutes later it returned
with its mud, always knowing exactly where to find the tiny hole
in the window.

The wasp kept this up every day for about two weeks, then, its
nest completed, it disappeared, never to return.  I have been
keeping careful watch over the nest ever since, hoping to see
the new wasps hatch.  I wonder if they will instinctively know
where the hole is.  What a waste it would be if after so much
work of the parent, the offspring could not find their way to
the inconspicuous hole in the window pane and died without ever
reaching the outside world.  I'll report on the fate of the baby
wasps as the situation progresses.

This little bit of diversion has absolutely nothing to do with
today's fractal, which I have named "Fractal Coral Reef".  The
formula is the same one that produced yesterday's image, with
the exception that the bailout radius has been raised to 900.

The image almost has too much in it, with too many features
competing for attention.  The coral-like texture in some of the
features inspired the coral name.  The parameter file is a slow
one, requiring over 20 minutes on an average Pentium.  The GIF
file, which has been posted to:

          <alt.binaries.pictures.fractals>

and to:

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

brings quick relief to impatience if it is downloaded.

The fractal weather today was quite pleasant, with a spectacular
sky like those seen in the Caribbean.  A few showers were in the
area, though none fell at Fractal Central.  The temperature of
80F (26.5C) was about as perfect as it ever gets in this area in
mid-August.  The fractal cats showed their approval by sleeping
on the porch all afternoon.  As a side event, the near-record
coolness and copious rains this summer have effectively
squelched the local environmental fanatics, who have been crying
wolf about global warming and drought the past several years.
The rain and coolness also have the beach resort owners crying
no-profit.

And right now I'm crying that it's Saturday night and "Doctor
Who" is coming on the local TV station in less than an hour.  I
think it's the episode about the ship race in space.

Regardless, it's time to shut things down and settle into my
overstuffed chair for an evening of doing absolutely nothing.
If I doze off, so much the better.  Until next time, take care,
and stay awake when searching for those elusive fractals.


Jim Muth
[e-mail]


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

Fractal_Coral_Reef { ; time=0:20:06.62 -- SF5 on a p200
                     ;  Version 2000 Patchlevel 13
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+1.706024857266035/-2.508261897988575/2.3\
  2331e+008/1/2.5 params=-1/-11/-11/-1.1/0/800 float=y
  maxiter=2800 inside=0 logmap=392 periodicity=10
  colors=0004er2eu0cw0cy0cz0cz0ay0Zv0Wr0Vo0Sl0Ph0Me0La\
  0IZ1GW2DS2CP3AL47I44G53C71A705803A01A00B00B00A008007\
  405A24F33K52P81WB<3>0rK0wM0zP0zQ0zS0zS2zS5zU8zU<3>Ls\
  VPrWSpWWoWZmWblY<3>peZscZwb_za_z__zZ_zYYzWVzWUzVQzUP\
  zUMzSLzSIzQHyPFyPDwOBwMAvM7vL5uL3uK2sI0sI0rH0sI0rH0z\
  G0oG0uF0lF0lD0<2>hB2fB2fA3eA4c84b85a77a77a77p3Oz5Qz7\
  Ip8GjBFeCC<3>KI3FK1AL0FQ5KVCPZI<2>ejajocpscvwczzcrQ1\
  yYDzhMvb4ja7la8lWAm_BoMCoZDhGFpZGrYHsYIsWKuWL<3>wVQO\
  04M05<2>L05L05K07K07K07I07<3>H08G08G0820FG08D02D00<3\
  >D00D00D00D00D00A005002000000000000F00U00V20V30W41W7\
  <2>2cC3fD2jC<2>5ZK7QM8QOAQQBQUCQWDQYFPV<2>FLOGKMGLKG\
  MIGOGHPF<2>HU8IV5IW4IY2IZ1K_0Ka0Kb0<2>Mf0Mh1Oi3<3>Qo\
  DQpGSrIMsOSuLWvI_wGeyDizBmz8sz5ozKlzL<2>bzS_zVYzWVzZ\
  SzaPzbLzeIzfGziDzlBzm8zp
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: Jim Muth <[e-mail]>
Subject: (fractint) RE: FOTD 12-08-00
Date: 12 Aug 2000 22:23:12 -0400 (EDT)

At 09:57 PM 8/12/00 -0300, you wrote:

>Let me add another comment:
>Is artistic photography art?

By definition, yes!

Jim M.


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

From: Guy Marson <[e-mail]>
Subject: Re: (fractint) Re: Patch 13
Date: 13 Aug 2000 14:25:05 +0200

At 22:46 05/08/00 -0400, you wrote:
>Jim,
>
> - I'm eager to get my hands on the latest patch, but I can't find the
> - address of the ftp site.  What is the full address?
>
>Have a look here:
>
>    http://www.fractint.org/ftp/
>
>Damien M. Jones   \\
>[e-mail]  \\  Fractalus Galleries & Info:
>                    \\  http://www.fractalus.com/
>
>Please do not post my e-mail address on a web site or
>in a newsgroup.  Thank you.
>
>


Hi fractinters,

I found a bug(?) in Fractint 20.0 Patch 13:

1) try to generate a Type=JULIBROT fractal.. (best results are in preview
mode)
2) while generating hit "tab" then "tab" again to retourn to the pic..
3) after generation hit "tab" again twice..
4) I got some stripes/points now on the upper border of the screen..

here is a .par for a test.. (it is a real 3d-picture for crossed-eyes viewing)


********************

bug002             {
                     ;  Version 2000 Patchlevel 13
  reset=2000 type=julibrot julibrotfromto=-1.0002/-1.0002/0/0
  julibrot3d=128/1250/100/5/10/24 julibroteyes=-5.15
  orbitname=julzpower 3dmode=lefteye
  center-mag=-0.00001391768500000/+0.63000184300000010/284.0755/1.1512
  params=0/0/2/0 maxiter=25 bailout=222 viewwindows=4.2/0.75/yes/0/0
  colors=000zzzyzzzyzzyyyyyxyyyxzyxxxxxwxxxwyxwwwwwvwwwvxwvvvvvuvvvuwvuuuu\
  utuuutvutttttstttsutsssssrsssrtsrrrrrqrrrqsrqqqqqpqqqprqpppppopppoqpoooo\
  onooonponnnnnmnnnmonmmmmmlmmmlnmlllllklllkmlkkkkkjkkkjlkjjjjjijjjikjiiii\
  ihiiihjihhhhhghhhgihgggggfgggfhgfffffefffegfeeeeedeeedfedddddcdddcedcccc\
  cbcccbdcbbbbbabbbacbaaaaa`aaa`ba`````_```_a`_____Z___Z`_ZZZZZYZZZY_ZYYYY\
  YXYYYXZYXXXXXWXXXWYXWWWWWVWWWVXWVVVVVUVVVUWVUUUUUTUUUTVUTTTTTSTTTSUTSSSS\
  SRSSSRTSRRRRRQRRRQSRQQQQQPQQQPRQPPPPPOPPPOQPOOOOONOOONPONNNNNMNNNMONMMMM\
  MLMMMLNMLLLLLKLLLKMLKKKKKJKKKJLKJJJJJIJJJIKJIIIIIHIIIHJIHHHHHGHHHGIHGGGG\
  GFGGGFHGFFFFFEFFFEGFEEEEEDEEEDFEDDDDDCDDDCEDCCCCCBCCCBDCBBBBBABBBACBAAAA\
  A9AAA9BA9999989998A98888878887987777767776876666656665765555545554654444\
  4344435433333233324322222122213211111011102100<2>000
  }

********************




enjoy the bug(?) ..

Cheers,

Guy


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

From: "Jonathan Osuch" <[e-mail]>
Subject: Re: (fractint) Re: Patch 13
Date: 13 Aug 2000 08:41:55 -0500

Guy,

> I found a bug(?) in Fractint 20.0 Patch 13:

Setting textsafe=save in your SSTOOLS.INI file will fix it.

This bug, as well as the textsafe options, will go away once we complete the
port to a 32-bit environment.  By this I mean a DOS/Windows port.  I already
have an Xfractint version running that utilizes the Allegro graphics
package.  It is still far from complete, but porting to djgpp or a Windows
compiler could be started.

Jonathan




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

From: Mark Christenson <[e-mail]>
Subject: (fractint) Attn: Robin Bussell, re Evolver
Date: 13 Aug 2000 18:09:43 -0700

I should have sent this query months ago when I could recall
more details.  I have, on a number of occasions, run into saved
Evolver GIFs that cannot be used for continued evolution.  Actually
these "non-reproducible" GIFs are not unique to evolver, but
occasionally pop up with standard Fractint GIFs.

In any event, I have one saved image which reproduces the
central image, but none of its neighbors.  This image may have
been second or third generation within the same session, with
or without intermediate saves (as I said, I can't recall). If you
think you can divine the problem by examining the GIF, I would
be happy to send it (about 300k).  If not, I will (when time permits)
see if I can re-create the problem and record the details to allow
you to reproduce and troubleshoot the bug.


Thanks,
        Bud


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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 14-08-00  (Globular Cluster [7])
Date: 14 Aug 2000 00:29:17 -0400 (EDT)


FOTD -- August 14, 2000 (Rating 7)

Fractal visionaries and enthusiasts:

Today's fractal reminds me of a midget Mandelbrot in the center
of a globular cluster of smaller midgets.  So I named it
"Globular Cluster".  The scene is part of the same parent
fractal that contained yesterday's scene, the fractal created by
the formula -1Z^(-11)-11Z^(-1.1)+1/C.

As I mentioned previously, the parent fractal holds such a
variety of terrain that I could spend a month investigating it.
In fact, I might spend a month investigating it.

Today's scene lies deep in a tiny disconnected feature in the
central fan of the parent fractal, near the edge of an obviously
critical Mandeloid area.  The area around today's midget at
first appears non-critical, but deeper investigation reveals the
midgets lurking hidden in the features that at first appear
barren of midgets.

For patient fractalists, the parameter file renders in 16
minutes.  The impatient will wish to download the GIF file from:

          <alt.binaries.pictures.fractals>

or from:

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

The fractal weather was cloudy and unusually cool today,
continuing the trend of the year without a summer.  But the
temperature of 74F (23C) was not too cool for the fractal cats,
who spent a good deal of the day lounging on the porch and
investigating the grass.

The invigorating coolness brought out my philosophy muse.  But I
wrote nothing.  I only pondered.  But be patient, philosophy
fans.  Eventually, my threats of enlightening philosophy will
come true.  The big day might even be tomorrow.

Until then, take care, and keep your cool.


Jim Muth
[e-mail]


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

Globular_Cluster   { ; time=0:16:26.48 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 13
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+2.38222558546946500/+2.43211835179881500\
  /1.535927e+008/1/72.499 params=-1/-11/-11/-1.1/0/800
  float=y maxiter=2000 inside=0 logmap=305 periodicity=9
  colors=000K0WK0WK0XM0XM0ZN0ZN0`P0`P0aQ0bQ0dS0eS0gT0h\
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  <3>0050A60M60Z60i80v80z8SwaTybTydUzdUzeWzeWzgXzgXzhZ\
  ziZzi`zk<2>azlbzgdybduZerTgoPgkKhiNikQilTknWkoZ<3>Uu\
  iQvlNwo<2>Aww5wz2wz<2>EwzHwzMwz<3>ZwzbwzewzCwz<3>Ewz\
  EwzGwz<3>Hwz
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: "Jonathan Osuch" <[e-mail]>
Subject: Re: (fractint) Attn: Robin Bussell, re Evolver
Date: 14 Aug 2000 07:13:36 -0500

Mark,

> I have, on a number of occasions, run into saved
> Evolver GIFs that cannot be used for continued evolution.  Actually
> these "non-reproducible" GIFs are not unique to evolver, but
> occasionally pop up with standard Fractint GIFs.

I just found one that has this problem.  The one I found uses the formula
parser and one function.  On reload, the subimages are regenerated.

> If you think you can divine the problem by examining the GIF, I would
> be happy to send it (about 300k).

Yes, send me the GIF at [e-mail]

 Thanks.

Jonathan




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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 15-08-00  (Fractal by Starlight [8])
Date: 15 Aug 2000 00:14:23 -0400 (EDT)


FOTD -- August 15, 2000 (Rating 8)

Fractal visionaries and enthusiasts:

I rather admire today's fractal offering, which I have named
"Fractal by Starlight".  While deciding on the rating, I was
torn between an above-average 7 or a much-above average 8.  In
the end I decided on the higher rating.  The rating of 8 is a
bit extravagant by my conservative standards, but maybe I'm a
bit too conservative.

The formula that created the image is the same one that created
the FOTD's of the past several days.  As I have stated several
times, the parent fractal of the recent FOTD's is rich beyond
belief.  I'll be staying with it for some time yet.

The parameter file of today's image renders in a quick 1-1/2
minutes -- probably less time than it would take to go online
and download the GIF file of the image from:

          <alt.binaries.pictures.fractals>

or from:

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

The fractal weather today was partly cloudy, but spoiled by the
frequent showers that kept the cats indoors, gazing from the
windows.  The afternoon temperature of 74F (23C) was quite cool
for this, the hottest time of the year.

I received an e-mail earlier today that speculated on the
possibility of patterns of light in the brain, (the patterns may
have a fractal nature), giving rise to consciousness, or more
accurately, acting as a filter-interface between a universal
consciousness field and the limited consciousness of the
individual.

Fractals and consciousness -- I find the idea that there could
be a connection most interesting.  A connection also seems to
exist between consciousness and the quantum level.  Does this
mean that there is also a connection between fractals and the
quantum world?  I must retire to my armchair for some deep
thought before saying more.

And now the time has come to shut down the fractal shoppe and
feed the fractal cats, who are getting restless around my feet.
Until next time, take care, and we all might have fractals in
the brain.


Jim Muth
[e-mail]


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

FractalByStarlight { ; time=0:01:46.02 -- SF5 0n a P200
                     ;  Version 2000 Patchlevel 13
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-1.400942034041319/-2.966973877375203/210\
  3.989/1/-24.999 params=-1/-11/-11/-1.1/0/800 float=y
  maxiter=900 inside=0 logmap=7 periodicity=10
  colors=000006<2>00200000000000200605909E3DI5HL8LQ9QT\
  BTXEXaGacIehKikNloOpsRtvTyzUzz<3>OtzNszLpzKozKmzIlzH\
  kzGizEfzDezBcz9bz9az8_z6Xz<2>2Tz0Rz0Oz0Qz2Qz3Rz5Rz6T\
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  zlXzmUzoTzpRzrOzsNzsLztIzvHywGwyEvzBtz9sz8rz5<2>mz0
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: "S. Wyszkowski" <[e-mail]>
Subject: Re: (fractint) FOTD 15-08-00  (Fractal by Starlight [8])
Date: 15 Aug 2000 22:32:59 -0400

Fractals and quantum mechanics - could the absolute randomness of the
outcome when the virtual quantum state "collapses" to an actually observed
event have something to do with it being played out on a fractal field? With
the possible outcomes and their probabilities representing a particular
palette of "colors"?

As for fractals and consciousness, there may be some kind of connection on
the operational level. But the intrinsic nature of
consciousness/awareness/experiencing/sensation/observation/happening/event
(consider them all synonyms) seems to be that of an inherent
property/quality of the stuff the universe is made of - perhaps it IS the
stuff the universe is made of.

S. W. Paul Wyszkowski
Images Invented and Discovered
[e-mail]

----- Original Message -----
>
> Fractals and consciousness -- I find the idea that there could
> be a connection most interesting.  A connection also seems to
> exist between consciousness and the quantum level.  Does this
> mean that there is also a connection between fractals and the
> quantum world?  I must retire to my armchair for some deep
> thought before saying more.
>



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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 16-08-00  (A Forest Scene [5])
Date: 15 Aug 2000 23:47:58 -0400 (EDT)


FOTD -- August 16, 2000 (Rating 5)

Fractal visionaries and enthusiasts:

For today's FOTD we leave the world of Mandelbrot midgets and
return to an area that I discovered by accident a number of
years ago.  It is an area of stylized trees that exists in the
Julia orientation of the fractal that results when the formula
(-Z)^1.1+C is iterated and C is initialized to 4.

There's not much to be said about the image, which speaks for
itself, except that it resembles the scene one might see while
standing at the edge of a grove of trees, looking toward a
meadow beyond.

But the colors indicate that this is an other-worldly forest and
the meadow, an other-worldly meadow.  Unfortunately, I captured
none of the skimmers that frequent the edges of forests on this
remote world.  Maybe I'll find some in a future FOTD.

The lack of animal life in the picture is more than compensated
for by the quickness of the parameter file, which renders in
less than a minute.  If any fractal fans would still prefer to
download the GIF file in more than a minute, (heaven knows why),
the file is available on Usenet at:

          <alt.binaries.pictures.fractals>

and on the W.W.Web at:

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

The fractal weather today was partly cloudy and 84F (29C).  It
was a perfect day for cats, and the cats took advantage of it.
The philosophy still needs more time in the armchair.

And now it's time for me to take advantage of the evening news
show on TV to hear the blather at the big convention.  Until
tomorrow, take care, and don't get lost in the world of fractals.


Jim Muth
[e-mail]


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

A_Forest_Scene     { ; time=0:00:54.44 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 13
  reset=2000 type=formula formulafile=slices.frm
  formulaname=JuliaMiN passes=1
  center-mag=1.92916/0.722015/2.317594/0.7976/90
  params=1.1/0/0/0/4/0 float=y maxiter=300 inside=0
  logmap=yes periodicity=10
  colors=000U7JM3CF26<2>026535<2>KA4PD4UG2YI2bM2gO1kR1\
  qT1vW0zY0z`0yY1tX1oU1kT1<3>UM2PL2KJ2FH4BG46D41C40A40\
  C81DE2DH4EM5ER6GV<3>BImCJrEJvFLzGLzHIxJGrJEmOIkRLj<2\
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  hGW`CQ
  }

frm:JuliaMiN {; Jim Muth
b=p1, z=pixel+p2, c=p3:
z=(-z)^(b)+c,
|z| <= 16
}

END 20.0 PAR-FORMULA FILE==================================


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From: "John Wilson" <[e-mail]>
Subject: Re: (fractint) FOTD 15-08-00  (Fractal by Starlight [8])
Date: 15 Aug 2000 21:23:35 -0700

>But the intrinsic nature of
> consciousness/awareness/experiencing/sensation/observation/happening/event
> (consider them all synonyms) seems to be that of an inherent
> property/quality of the stuff the universe is made of - perhaps it IS the
> stuff the universe is made of.

Hmmmm, we are back to Man being the center of the Universe?   Without us the
Universe does not exist?   Isn't that a mite egocentric?

Surely, too, every single one of the (synonymous?) properties listed are
dependent upon Time?
Um. and isn't time another facet of Space?   Perhaps, after all, space-time
IS the stuff the universe is made of?

John W.



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From: Karl Simanonok <[e-mail]>
Subject: (fractint) Fractals in Consciousness
Date: 15 Aug 2000 19:30:33 -0700

If you're interested, please visit
http://www.dcn.davis.ca.us/go/karl/consciousness.html for an explanation of
how patterns of light in the brain could give rise to consciousness. I
don't know what those patterns might actually look like, but I think
there's a good chance they might look like fractals of some type.  They
would fill the brain's ventricles and probably spill over in a slightly
fuzzy fashion into the surrounding tissue a little.

I'm wondering if I could interest anyone on this list in fitting fractals
into the shapes of the brain's ventricles, where the light of consciousness
may shine?  Because 'a picture is worth a thousand words' your artistic
conception might be more effective than all my text in conveying the
concept.  I don't know how feasible fitting fractals to shapes is, but if
it's at all interesting to you, please let me know, on- or off-list. I can
either post to the Web or send you some good ventricle 'masks', if you are
interested in experimenting with the idea.

Regards,

Karl Simnonok

At 10:32 PM 8/15/2000 -0400, Paul Wyszkowski wrote:
>Fractals and quantum mechanics - could the absolute randomness of the
>outcome when the virtual quantum state "collapses" to an actually observed
>event have something to do with it being played out on a fractal field? With
>the possible outcomes and their probabilities representing a particular
>palette of "colors"?
>
>As for fractals and consciousness, there may be some kind of connection on
>the operational level. But the intrinsic nature of
>consciousness/awareness/experiencing/sensation/observation/happening/event
>(consider them all synonyms) seems to be that of an inherent
>property/quality of the stuff the universe is made of - perhaps it IS the
>stuff the universe is made of.
>
>S. W. Paul Wyszkowski
>Images Invented and Discovered
>[e-mail]
>
>----- Original Message -----
>From: "Jim Muth" <[e-mail]>
> >
> > Fractals and consciousness -- I find the idea that there could
> > be a connection most interesting.  A connection also seems to
> > exist between consciousness and the quantum level.  Does this
> > mean that there is also a connection between fractals and the
> > quantum world?  I must retire to my armchair for some deep
> > thought before saying more.
> >



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

From: "John Wilson" <[e-mail]>
Subject: Re: (fractint) Fractals in Consciousness
Date: 15 Aug 2000 22:13:48 -0700

Karl Simanonok wrote in the Fractint forum:

> I'm wondering if I could interest anyone on this list in fitting fractals
> into the shapes of the brain's ventricles, where the light of
consciousness
> may shine?  Because 'a picture is worth a thousand words' your artistic
> conception might be more effective than all my text in conveying the
> concept.  I don't know how feasible fitting fractals to shapes is, but if
> it's at all interesting to you, please let me know, on- or off-list. I can
> either post to the Web or send you some good ventricle 'masks', if you are
> interested in experimenting with the idea.

This is very relevant to a recent (half-hearted) discussion in the
Philofractal group!

Now *there's* a challenge for you Fractal Artists!   IMHO true Art is
intentional, and doesn't lie in the finding of a pretty crystal or driftwood
section.   Dripping paint onto rotating discs, or putting a paintbrush in
the trunk of an elephant does not produce "Art".    Does an image in a my
kaleidoscope constitute "Art"?   Even when I carefully select the internal
debris, and shake counterclockwise 13 times?   What difference is there
between a kaleidoscopic image and a static two-dimensional fractal?   Other
than the mechanical details of  their production, that is.   I maintain that
*true* Art is purposeful, and attempts to convey some message from the
artist to his audience.   "Bad" art doesn't succeed.   Maybe one of this
group can convince me that Fractals are "Art" by publishing a PAR that says
to at least some of us...."BRAIN"?

John. W.


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

From: "David Jones" <[e-mail]>
Subject: Re: (fractint) FOTD 15-08-00  (Fractal by Starlight [8])
Date: 15 Aug 2000 19:39:00 -1000

Read thru "Turbulent Mirror" by John Briggs and F. David
Peat. Much interesting reading along both of those
lines.

On 15 Aug 00 at 22:32, S. Wyszkowski wrote:

> Fractals and quantum mechanics - could the absolute
> randomness of the outcome when the virtual quantum state
> "collapses" to an actually observed event have something
> to do with it being played out on a fractal field? With
> the possible outcomes and their probabilities
> representing a particular palette of "colors"?
>
> As for fractals and consciousness, there may be some
> kind of connection on the operational level. But the
> intrinsic nature of
> consciousness/awareness/experiencing/sensation/observati
> on/happening/event (consider them all synonyms) seems to
> be that of an inherent property/quality of the stuff the
> universe is made of - perhaps it IS the stuff the
> universe is made of.
>
> S. W. Paul Wyszkowski
> Images Invented and Discovered
> [e-mail]
>
> ----- Original Message -----
> From: "Jim Muth" <[e-mail]>
> >
> > Fractals and consciousness -- I find the idea that there could
> > be a connection most interesting.  A connection also seems to
> > exist between consciousness and the quantum level.  Does this
> > mean that there is also a connection between fractals and the
> > quantum world?  I must retire to my armchair for some deep
> > thought before saying more.

Another blast of bits from David
http://home.hawaii.rr.com/aliasjj/   http://www.hawastsoc.org/
For the best Hawaii & Pacific Basin surf forecast:
    http://www.surfreporthawaii.com

Random Thought for this Nanosecond
Pentium? Isn't that a new gadget for cooking eggs? (D.Jones)



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

From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) Fractals in Consciousness
Date: 16 Aug 2000 20:13:53 +1200

At 19:30 15/08/2000 -0700, Karl Simnonok wrote:

>I'm wondering if I could interest anyone on this list in fitting fractals
>into the shapes of the brain's ventricles, where the light of
>consciousness may shine?  Because 'a picture is worth a thousand words'
>your artistic conception might be more effective than all my text in
>conveying the concept.  I don't know how feasible fitting fractals to
>shapes is, but if it's at all interesting to you, please let me know, on-
>or off-list. I can either post to the Web or send you some good ventricle
>'masks', if you are interested in experimenting with the idea.

You might want to have a look at Barnseley's _Fractals Everywhere_, in
which he describes how IFS can be used to do just what you described. He
also designed and implemented the Fractal Image Format using his ideas
which, if you're willing to pay the license fee for a proprietary image
format, does exactly this sort of "fitting fractals to images". On the
other hand there is no doubt a fair bit of public-domain software floating
around that does similar.

Morgan L. Owens
"A glimmer of hope..."


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

From: "S. Wyszkowski" <[e-mail]>
Subject: Re: (fractint) FOTD 15-08-00  (Fractal by Starlight [8])
Date: 16 Aug 2000 09:41:48 -0400


----- Original Message -----
Sent: Wednesday, August 16, 2000 12:23 AM


> >But the intrinsic nature of
> >
consciousness/awareness/experiencing/sensation/observation/happening/event
> > (consider them all synonyms) seems to be that of an inherent
> > property/quality of the stuff the universe is made of - perhaps it IS
the
> > stuff the universe is made of.
>
> Hmmmm, we are back to Man being the center of the Universe?   Without us
the
> Universe does not exist?   Isn't that a mite egocentric?

I didn't mention Man specifically - I don't think consciousness is exclusive
to humans. After all, if the Universe is made of consciousness, every entity
would possess the quality of consciousness. An elementary event (i.e.
exchange of a single bit of information) would represent an elementary unit
of consciousness.

> Surely, too, every single one of the (synonymous?) properties listed are
> dependent upon Time?
> Um. and isn't time another facet of Space?   Perhaps, after all,
space-time
> IS the stuff the universe is made of?

Perhaps space-time is a creature of consciousness...

S. W. Paul Wyszkowski
Images Invented and Discovered
[e-mail]

> --------------------------------------------------------------
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> Unsubscribe:    [e-mail] "unsubscribe fractint"
>


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

From: Jim Muth <[e-mail]>
Subject: (fractint) Re: FOTD 15-08-00
Date: 16 Aug 2000 10:34:30 -0400 (EDT)


At 09:23 PM 8/15/00 -0700, John Wilson wrote:

>S. Wyszkowski wrote:

>>But the intrinsic nature of consciousness/awareness/
>>experiencing/sensation/observation/happening/event
>>(consider them all synonyms) seems to be that of an inherent
>>property/quality of the stuff the universe is made of --
>>perhaps it IS the stuff the universe is made of.

>Hmmmm, we are back to Man being the center of the Universe?
>Without us the Universe does not exist?  Isn't that [idea] a
>mite egocentric?

Yes the idea is egocentric, but it may be true.  And does your
emotion-based denial make the idea less likely to be true?  The
fact is that the universe *might* be partly a creation of the
human mind.  Idealists cannot show that the universe as we know
it is some kind of self-generated illusion, but materialists
cannot show that the universe is really out there.  And even if
Materialism is correct, one thing we can be pretty certain of is
that something non-intuitive and not quite material is happening
down at the quantum level, which means that Materialism will
need to be modified if it hopes to explain everything at every
level.  (I sometimes suggest that Materialism change its name to
Energism.)

>Surely, too, every single one of the (synonymous?) properties
>listed are dependent upon Time?  Um. and isn't time another
>facet of Space?   Perhaps, after all, space-time IS the stuff
>the universe is made of?

And perhaps space-time is the blank screen of the mind, upon
which the film of the material universe is projected.  We can
imagine the non-existence of matter, but we cannot imagine the
non-existence of space and time.  Could this be because space
and time are in some way a part of the mind itself?

(If we're going to continue this thread, let's move it to the
philofractal list.)


Jim M.


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

From: "Jonathan Osuch" <[e-mail]>
Subject: Re: (fractint) Attn: Robin Bussell, re Evolver
Date: 16 Aug 2000 20:37:03 -0500

Mark,

> I have, on a number of occasions, run into saved
> Evolver GIFs that cannot be used for continued evolution.

Part of the problem is with the use of random variations.  The fix, while
obvious, is not so easy to implement.  I should have it done by this
weekend.

I still don't know why sometimes the subimages are regenerated on a restore,
and sometimes they aren't.

Jonathan



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From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 17-08-00  (Magical Tree [6])
Date: 17 Aug 2000 01:05:42 -0400 (EDT)


FOTD -- August 17, 2000 (Rating 6)

Fractal visionaries and enthusiasts:

Today's image is a further investigation of the tree effect that
appeared in yesterday's FOTD picture.  I lowered the exponent of
(-Z) from 1.1 to 1.08 and drew a slice rotated 30 degrees from
the Elliptic direction toward the Parabolic direction.

In this direction the tree effect is still very prominent, and
in addition the trees have an irregular shape more like actual
trees.  The effect of the lesser exponent is visible in the
smaller, more delicate branches on the tree.  Since such a tree
is so unexpected, I named the picture "Magical Tree" and gave it
a somewhat above average rating of 6.

The coloring is intended as more of a design that an effort to
achieve the appearance of a real tree.  And no, I used no third-
party graphic program to liven up the color palette, as I
sometimes do.

To run today's parameter file, patch 13 of Fractint V-20, which
has two more complex parameter entries, must be used.  The file
is available at   http://www.fractint.org/ftp/   the name of the
file is fradev20.0.13.zip

The parameter file runs in 9 minutes once the correct version of
Fractint is obtained.  And if this is too much trouble, the pre-
rendered GIF file of the image is ready for download at:

          <alt.binaries.pictures.fractals>

and at:

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

The fractal weather today was sunny, with a temperature of 88F
(31C), which pleased the cats so much that they slept all
afternoon.

A tiny bit of philosophy appeared this morning, but far more is
cooking, and could be ready for dissemination any day now.
Until tomorrow, take care, and see you in 24 hours.


Jim Muth
[e-mail]


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

Magical_Tree       { ; time=0:08:57.22 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 13
  reset=2000 type=formula formulafile=multirot.frm
  formulaname=multirot-XZ-YW-min passes=1
  center-mag=-0.449072/-0.329518/1.530064/1.7014/-27.5\
  53/26.316 params=0/60/1.08/0/1.9/0/4/0 float=y
  maxiter=3000 inside=253 logmap=19 periodicity=10
  colors=000GJZ<3>3NT<19>9BJAAIA9I<2>B8GB7G95D<5>KHTMJ\
  WOLZQN`SPcURfUSgVThXZb_dWggV<3>tsDwv9zz6<3>nt5ls5lq5\
  <3>ml5nj6ni7<7>pZFqYGqWHqVIrUJ<4>sNSsLUtKW<2>uGauEcu\
  Dc<2>v9cw7cv8c<33>hUchUcgVc<2>fXcfXceWc<4>cWccVcbVc<\
  9>ZUgZTgYTh<2>XTiXTiWUjVUj<29>FXoEXpEXp<2>CXpCXpDWn<\
  7>GRmGRmGQm<21>OPmOPmPPmPPmRPm<3>KPm<3>LPmLPmLPmLPmL\
  PmLPm<2>PPmMPmJPmLPmLPmLPm
  }

frm:multirot-XZ-YW-min {; Jim Muth
; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect
e=exp(flip(real(p1*.01745329251994))),
f=exp(flip(imag(p1*.01745329251994))),
z=f*real(pixel)+p3, c=e*imag(pixel)+p4:
z=(-z)^(p2)+c,
|z| <= 36  }

END 20.0 PAR-FORMULA FILE==================================


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

From: Guy Marson <[e-mail]>
Subject: Re: (fractint) Re: Patch 13
Date: 17 Aug 2000 22:59:47 +0200

Hi Jonathan,

At 08:41 13/08/00 -0500, you wrote:
>Guy,
>
>> I found a bug(?) in Fractint 20.0 Patch 13:
>
>Setting textsafe=save in your SSTOOLS.INI file will fix it.
>
>This bug, as well as the textsafe options, will go away once we complete the
>port to a 32-bit environment.  By this I mean a DOS/Windows port.  I already
>have an Xfractint version running that utilizes the Allegro graphics
>package.  It is still far from complete, but porting to djgpp or a Windows
>compiler could be started.
>
>Jonathan



Just back from a vacation trip in Southern France, I tried it your way..
ok, it works!

thanks and cheers,

Guy




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From: [e-mail]
Subject: (fractint) FOTD 18-08-00  (The Parent Fractal [*])
Date: 17 Aug 2000 22:41:36 EDT


FOTD -- August 18, 2000 (Rating *)

Fractal visionaries and enthusiasts:

*Because today's FOTD is a special one, I have not given it a
rating.  If I were to rate it as a picture, it would rate a 3,
but as I said, it is a special FOTD, one not subject to the
normal quality standards.

When discussing my FOTD's, I often refer to the parent fractal,
a mysterious thing that exists unseen in the background, yet is
the ground of being for the image on the screen.  Well, today is
the day we reveal that mysterious parent fractal that has lain
behind so many recent FOTD images.

The formula of this fractal is -1Z^(-11)-11Z^(-1.1)+(1/C).  The
fractal itself, a sprawling thing with its fan and its rings, is
perhaps the most varied I have yet stumbled upon.  On the near
left side, a Mandel-shaped feature stands as the center of
action, with the curious and bizarre fan-shaped feature just to
its right.  Rings decorate the ends of the many filaments, and
the many holes are beyond description.

Midgets lie everywhere in this fractal.  In some areas, such as
around the Mandel-shaped feature, they are easy to find; in
other areas, such as the center of the fan and in the rings,
they are quite difficult to locate; but in all areas the midgets
do exist, hidden and waiting to be discovered.

I show this fractal today because I will be searching through it
for a few weeks, finding midgets and speaking of their parent
fractal.  When I refer to the parent fractal, today's FOTD is
the fractal I am referring to.

The parameter file is very fast, running in under one minute.
But the download is equally fast.  That download may be found at:

          <alt.binaries.pictures.fractals>

and at:

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

The fractal weather was sunny all morning, but it turned cloudy
in the afternoon, and rain is threatening tonight.  The fractal
cats, Thomas and Tippy, found the conditions ideal, spending the
better part of the day lounging in the partial shade of the
porch.

The fractal philosophy stumbled along today, generally going
nowhere.  I have nothing to post at this time, though my
philofractal mailbox holds a letter from JW, which I haven't
read yet.  When I do read it, it might give me the inspiration
for a few words.

For now, the day has ended, the FOTD has ended, and I'm shutting
down Fractal Central for another day.  Until tomorrow, take
care, and see you then.


Jim Muth
[e-mail]


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

The_Parent_Fractal { ; time=0:00:57.18 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 13
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip
  center-mag=2.64923/1.99394/0.1527087/1/79.999
  params=-1/-11/-11/-1.1/0/800 float=y maxiter=600
  inside=0 logmap=yes periodicity=10
  colors=000QW_<3>IXc<3>UTbXSb_RbaRb<3>eRleRnfRpgRshRu\
  hRw<7>``X_aTZbQ<3>WfD<5>eoZgqbhrf<3>nxt<8>adS`bPZ_M<\
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  <3>DOp6Ft6UV6c5KcHYUTkMdyTp<3>zVszWtzWtzXuzXu<3>V`PO\
  aHQbL<3>YfZ_gaahecihejk<2>6mF<3>MqYQraUsfYtjMuT<3>Qy\
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  EzK<2>1zp<3>HzgLzePzcTza<8>WzjWzkWzl<3>Xzp<4>PzjNziM\
  zh<3>Gzd<2>JznKzqJzn<5>IzYIzVIzS<3>IzH<3>dzfizlozrtz\
  x<3>YzXSzRNzK<2>6z0<4>vzy
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================

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

From: Karl Simanonok <[e-mail]>
Subject: Re: (fractint) FOTD 18-08-00  (The Parent Fractal [*])
Date: 17 Aug 2000 18:13:47 -0700

Hi Jim,

Your daily fractals (FOTD) are very nice and dynamic, changing every day,
but the link you provide is static, which only leads to your homepage.  How
about saving us some mouseclicks and sending out the actual URL to the
FOTD?  So today's would be
http://home.att.net/~Paul.N.Lee/FotD/FotD_00-08-17.html and not
http://home.att.net/~Paul.N.Lee/FotD/FotD.html.

Regards,

Karl Simanonok

At 10:41 PM 8/17/2000 -0400, you wrote:

>FOTD -- August 18, 2000 (Rating *)
>
>Fractal visionaries and enthusiasts:
>
>*Because today's FOTD is a special one, I have not given it a
>rating.  If I were to rate it as a picture, it would rate a 3,
>but as I said, it is a special FOTD, one not subject to the
>normal quality standards.
>
>When discussing my FOTD's, I often refer to the parent fractal,
>a mysterious thing that exists unseen in the background, yet is
>the ground of being for the image on the screen.  Well, today is
>the day we reveal that mysterious parent fractal that has lain
>behind so many recent FOTD images.
>
>The formula of this fractal is -1Z^(-11)-11Z^(-1.1)+(1/C).  The
>fractal itself, a sprawling thing with its fan and its rings, is
>perhaps the most varied I have yet stumbled upon.  On the near
>left side, a Mandel-shaped feature stands as the center of
>action, with the curious and bizarre fan-shaped feature just to
>its right.  Rings decorate the ends of the many filaments, and
>the many holes are beyond description.
>
>Midgets lie everywhere in this fractal.  In some areas, such as
>around the Mandel-shaped feature, they are easy to find; in
>other areas, such as the center of the fan and in the rings,
>they are quite difficult to locate; but in all areas the midgets
>do exist, hidden and waiting to be discovered.
>
>I show this fractal today because I will be searching through it
>for a few weeks, finding midgets and speaking of their parent
>fractal.  When I refer to the parent fractal, today's FOTD is
>the fractal I am referring to.
>
>The parameter file is very fast, running in under one minute.
>But the download is equally fast.  That download may be found at:
>
>           <alt.binaries.pictures.fractals>
>
>and at:
>
>           <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
>
>The fractal weather was sunny all morning, but it turned cloudy
>in the afternoon, and rain is threatening tonight.  The fractal
>cats, Thomas and Tippy, found the conditions ideal, spending the
>better part of the day lounging in the partial shade of the
>porch.
>
>The fractal philosophy stumbled along today, generally going
>nowhere.  I have nothing to post at this time, though my
>philofractal mailbox holds a letter from JW, which I haven't
>read yet.  When I do read it, it might give me the inspiration
>for a few words.
>
>For now, the day has ended, the FOTD has ended, and I'm shutting
>down Fractal Central for another day.  Until tomorrow, take
>care, and see you then.
>
>
>Jim Muth
>[e-mail]
>
>
>START 20.0 PAR-FORMULA FILE================================
>
>The_Parent_Fractal { ; time=0:00:57.18 -- SF5 on a P200
>                      ;  Version 2000 Patchlevel 13
>   reset=2000 type=formula formulafile=critical.frm
>   formulaname=MandelbrotMix4 function=recip
>   center-mag=2.64923/1.99394/0.1527087/1/79.999
>   params=-1/-11/-11/-1.1/0/800 float=y maxiter=600
>   inside=0 logmap=yes periodicity=10
>   colors=000QW_<3>IXc<3>UTbXSb_RbaRb<3>eRleRnfRpgRshRu\
>   hRw<7>``X_aTZbQ<3>WfD<5>eoZgqbhrf<3>nxt<8>adS`bPZ_M<\
>   2>VUDUSARTC<3>EXLBYO8ZQ5_S2`U<3>1lW0nW0qW<2>0yX<3>RU\
>   JXNGZQH<4>edKggLhjM<3>nvO<3>ktRjtSitShsThsUiwahyZgzX\
>   <3>DOp6Ft6UV6c5KcHYUTkMdyTp<3>zVszWtzWtzXuzXu<3>V`PO\
>   aHQbL<3>YfZ_gaahecihejk<2>6mF<3>MqYQraUsfYtjMuT<3>Qy\
>   LRzKSzI<3>WzBXz9Yz7Zz5_z4<3>OzFLzHIzK<2>9zR<3>HzCJz9\
>   EzK<2>1zp<3>HzgLzePzcTza<8>WzjWzkWzl<3>Xzp<4>PzjNziM\
>   zh<3>Gzd<2>JznKzqJzn<5>IzYIzVIzS<3>IzH<3>dzfizlozrtz\
>   x<3>YzXSzRNzK<2>6z0<4>vzy
>   }
>
>frm:MandelbrotMix4 {; Jim Muth
>a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
>g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
>k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
>z=k*((a*(z^b))+(d*(z^f)))+c,
>|z| < l
>}
>
>END 20.0 PAR-FORMULA FILE==================================
>
>--------------------------------------------------------------
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-------------------------------------------------------------------------------

From: Mike Traynor <[e-mail]>
Subject: Re: (fractint) FOTD 18-08-00  (The Parent Fractal [*])
Date: 18 Aug 2000 07:17:22 -0400

Jim,

> FOTD -- August 18, 2000 (Rating *)
>
> Fractal visionaries and enthusiasts:
>
> *Because today's FOTD is a special one, I have not given it a
> rating.  If I were to rate it as a picture, it would rate a 3,
> but as I said, it is a special FOTD, one not subject to the
> normal quality standards.
>
> When discussing my FOTD's, I often refer to the parent fractal,
> a mysterious thing that exists unseen in the background, yet is
> the ground of being for the image on the screen.  Well, today is
> the day we reveal that mysterious parent fractal that has lain
> behind so many recent FOTD images.

Maybe you can rate it once you are done with the next few FOTDs on
the basis of its fecundity, using the average rating of the
midgets you find, or may that of the best of them.

Mike

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

From: Jim Muth <[e-mail]>
Subject: (fractint) Re: FOTD 18-08-00  (The Parent Fractal [*])
Date: 18 Aug 2000 10:17:41 -0400 (EDT)


At 06:13 PM 8/17/00 -0700, Karl Simanonok wrote:

>Hi Jim,
>
>Your daily fractals (FOTD) are very nice and dynamic, changing every day,
>but the link you provide is static, which only leads to your homepage.  How
>about saving us some mouseclicks and sending out the actual URL to the
>FOTD?  So today's would be
>http://home.att.net/~Paul.N.Lee/FotD/FotD_00-08-17.html and not
>http://home.att.net/~Paul.N.Lee/FotD/FotD.html.
>
>Regards,
>
>Karl Simanonok

Karl:

The reason I do not do this is because the FOTD page is maintained by
Paul Lee, and not by myself.  I do not know the URL's of the individual
FOTD's until after Paul has posted them.

However, I would assume that the sample URL you supplied would be valid
for all FOTD's with no more than an appropriate change of date.

Jim M.


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

From: "Jonathan Osuch" <[e-mail]>
Subject: Re: (fractint) Attn: Robin Bussell, re Evolver
Date: 18 Aug 2000 11:50:48 -0500

Mark,

The patch 14 executable file is available at   http://www.fractint.org/ftp/
the name of the file is fradev20.0.14.zip

This fixes both the regeneration of completed images and the incorrect
determination of random numbers, which caused the regeneration to have
different subimages.  You may still have problems using old images, but any
new images should function correctly.  I found that there are cases where an
old image will still not let you generate the correct subimages, but this is
not new behavior.  I know why this happened and there is no way to determine
what the original parameters were.  I fixed the problem so it won't happen
from now on.

Jonathan



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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 19-08-00  (A Midget from the Fan [5])
Date: 18 Aug 2000 22:36:00 -0400 (EDT)


FOTD -- August 19, 2000 (Rating 5)

Fractal visionaries and enthusiasts:

For today's FOTD I tackled the center of the fan that appears in
yesterday's image, which is the parent fractal of many midgets
past and future.  The midget in today's image was not as hard to
find as I had expected.

The fan-like feature in the parent fractal is filled with holes
as well as discontinuities.  I began my search in one of the
holes that was not broken by a discontinuity.  I found a
symmetrical pair of features almost at once, with the midget
lying at the center as expected.

When I found the midget, I was almost disappointed at how easy
the search had been.  There must be more than this around, I
thought.  Then I noticed that the midget was surrounded by a
whole flock of symmetrical features, each apparently with a
midget at the center.  I chose a likely feature in the northeast
suburbs of the larger midget and found the midget of today's
image at the center.

The picture, which I have named "A Midget from the Fan" is an
interesting one to color.  The broad palettes that work so well
on most midgets don't work at all on today's strange little
fellow, which turns boringly flat.  Instead, I used a totally
random palette, fine tuning only a few registers.  The result is
a patchwork but still attractive picture that rates a perfectly
average 5.

With a render time of almost 14 minutes, the parameter file is
uncomfortably slow.  But there is no need for concern, as the
pre-rendered GIF image file has been posted to Usenet at the
site:

          <alt.binaries.pictures.fractals>

and to Paul Lee's FOTD web page at:

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

The fractal weather today was cloudy and cool with just enough
occasional light rain to keep things damp.  The dampness and
temperature of 68F (20C) combined to keep the fractal cats
safely ensconced indoors.

And speaking of being ensconced, I'm about to ensconce myself in
my overstuffed chair for some heavy TV watching and dozing.  But
I'll return tomorrow right on schedule with another FOTD to
amuse, entertain, and enlighten.  Until then, take care, and
don't let a failed fractal get you down.


Jim Muth
[e-mail]


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

AMidgetFromTheFan  { ; time=0:13:48.28 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 14
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+2.74448822367425/-0.04951958592765324/2.\
  935351e+009/1/-140.003/-0.001 params=-1/-11/-11/-1.1\
  /0/800 float=y maxiter=1800 inside=0 logmap=296
  symmetry=none periodicity=10
  colors=000J_gKpWA7ILFVLNcLVlcEDnl2_gUDPCHWZnjKdgXVdi\
  jPYaUeTZmVLuRRuOXuhCN<2>RXmHC2JILKUckgJUfb9RN<2>I_mO\
  vqMls79zCJxHTvo14modcjjUfpJjGKf`580DOTZvqSls1Y4B`VTz\
  OhRh`VmTZq9n_DjgHfnPqONid6G`BOgGWndwqYpsRitP_MNaci1B\
  <2>RUjA57EHOISd16hBNoyfwddv`IH<2>PYkavYTliscT<2>Tbnh\
  p4`kMTfc_e2ScUm37zZmS_cQ`iNao60oBDqGQshsorM7aVXk10<2\
  >RUgZG3UOMPWctCHAEH<2>JXka8ychzq`f`an9JmVX5G5SA4OGDi\
  <2>bUfiJMo82XUAEnH<3>5_xB`wThvGav8es0CQcJYYQeRXmNL4<\
  2>LZhDYUH`grEUrLCaUZqD9<2>TXiQXYN_iBLzGUwI1OJE_KRjoR\
  T<2>S_nFphX3CTFSPRf18rBOt`KwFa3HbMJbciCYbJcXQiRXoIkn\
  Kfr5SwDYvRbdObmPHZNK0y8ykJwYTvETVHXcJ_lcFrXNsRVtLH9L\
  PQLWexUDFviIlosHoaSroc3<2>SfhVgiRhmOiq6jL<2>Imlknd<2\
  >Rqq6rCBsSGtf_uU<2>OxnsymgzpWzslzy<2>Szvez1VzULz`Lzg\
  Lzn6zrkzIYzaeztVzuQzh<2>MzrAzsEztIzuFzEHzT
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: Mark Christenson <[e-mail]>
Subject: Re: (fractint) Evolver
Date: 18 Aug 2000 21:45:21 -0700

At 11:50 AM 8/18/00 -0500, Jonathan Osuch wrote:
>Mark,
>
>The patch 14 executable file is available at   http://www.fractint.org/ftp/
>the name of the file is fradev20.0.14.zip
>...

Jonathan,

Thanks very much!  A very impressive and speedy response
for a bug that affected so few.  Sorry I have been unresponsive
since my posting of the GIF, but in the last two weeks I put
in 53 hours of OT at work.  My friends are trying to convince
me that getting a new job is more important than completing my
work for FA2K (hard to believe from *my* perspective, but
legitimate).

I probably won't have time to download and investigate until next
weekend, but you can be assured that I appreciate your effort.

As a programmer, I am curious about the nature of the bug,
and why it was so rare.   Please respond privately if you think
it would be a waste of bandwidth for the audience at large.


Aloha,
         Bud


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

From: [e-mail]
Subject: (fractint) FOTD 20-08-00   (The Ultimate Tree [7])
Date: 19 Aug 2000 22:09:30 EDT


FOTD -- August 20, 2000 (Rating 7)

Fractal visionaries and enthusiasts:

On and off over these past several days I've been searching for
the ultimate fractal tree.  I think I found its shape this
afternoon, though the complete properly colored tree still
eludes me.  The simple formula (-Z)^1.075+C led the way.  I
found the tree growing in an oblique slice of the Julibrot of
this formula, at the coordinates C=4,Z=1.9.  The orientation of
the slice is totally oblique, but closest to the Julia direction.

I like this fractal tree because it is not symmetrical, but has
instead the near-symmetry and imperfections of a real tree.
Unless I'm mistaken, the tree even has a few broken limbs that
need trimming.

Since the formula contains 5 complex parameters, patch 13 or 14
of fractint version 20.0 must be used to do the calculation.
And the calculating formula, SliceJB-new-min, is a small
rewriting of the SliceJB formula posted in July 1999 to the
Fractint list by John Goering.  Taking advantage of the two
additional complex parameter entries in patches 13 and 14, I
have added a variable initialization of Z and a variable
exponent of Z.

In coloring the image I made no effort to be realistic, choosing
instead a striking magenta and green palette for the tree,
surrounded by a dull blue and brick-red background.  Perhaps a
bit optimistically, I named the result "The Ultimate Tree".  I
say optimistically because I doubt if today's image is the last
tree I'll post in my current tree series.

After considering the picture's strengths and weaknesses, I gave
it an above-average rating of 7.

The parameter file renders in 2 minutes if you have the proper
version of Fractint.  It downloads in about the same time if you
don't.  The image file ready for download may be found at:

          <alt.binaries.pictures.fractals>

and at:

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

The fractal weather today was very perfect, with sunny skies and
a temperature of 78F (25.5C), which brought out the best in the
fractal cats.

I'm still trying to recover from yesterday's unexpected outburst
of fractal philosophy.  It's really exhausting when one spreads
such wisdom.  And much more is brewing, but not yet finished.
It might appear tomorrow, it might not appear for a week.  Keep
checking the philofractal list; you wouldn't want to miss the
enlightenment.

I find that I'm out of things to say, so there's nothing left to
do but shut down the fractal shoppe, call it a night, and see
what kind of junk I can find on the telly.  Until next time,
take care, and only my humility prevents me from telling how
great I am.   ;-)


Jim Muth
[e-mail]


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

The_Ultimate_Tree  { ; time=0:02:00.30 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 14
  reset=2000 type=formula formulafile=critical.frm
  formulaname=SliceJB-new-min passes=1 center-mag=0.18\
  3845/0.0285631/2.806587/1.2255/90/-6.088
  params=0.4502/0.4315/0.3702/0.3897/1.075/0/4/0/1.9/0
  float=y maxiter=1500 inside=0 logmap=30 periodicity=9
  colors=000H8A<2>M6AN6AO68<13>76K66K56L<3>16O<23>n3dp\
  3er3f<3>z3h<3>sBOqDIpFDnH8mI3<25>mhTmiUmjV<3>mnZ<2>x\
  oW<14>klajlaikb<3>fkcelddld<3>aneUo`MoW<17>IxLIxKIyJ\
  <4>HzGHzGHzF<14>9zC8zC8zB<3>6zB<15>NzJOzKPzK<3>TzMVz\
  K<8>PzaPzcOze<2>NzkMzmNzm<16>HzoHzoGzo<2>FzoFzoEzq<4\
  >IzjJziKzh<3>NzcEzdBzj<2>GzY
  }

frm:SliceJB-new-min {; adapted from John R. H. Goering
  pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1),
  b=pi*imag(p1), g=pi*real(p2), d=pi*imag(p2), ca=cos(a),
  cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d),
  sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg,
  s=v*sin(a), c=p+flip(q)+(p4), z=r+flip(s)+(p5):
  z=(-z)^(p3)+c
  |z|<=100
  }

END 20.0 PAR-FORMULA FILE==================================

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

From: "Ricardo M. Forno" <[e-mail]>
Subject: (fractint) lists command for [e-mail]
Date: 20 Aug 2000 10:10:04 -0300

I tried to use the "lists" command to get information on lists from
[e-mail], without success. I got a response saying lists
command was not recognized. After that, I sent a question to
majordomo-owner, but until now I got no answer.
Does anyone in the fractint list know what happens with the lists command?
Thank you for your help.


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

From: "Paul N. Lee" <[e-mail]>
Subject: Re: (fractint) lists command for [e-mail]
Date: 20 Aug 2000 12:16:43 -0500

Ricardo M. Forno wrote:
>
> I tried to use the "lists" command to get information
> on lists from [e-mail], without
> success.

There may be something wrong with the server and/or software, or they
have blocked access to this option.  If you wish to see all of the
"publicly-available" mailing lists on that system, then you might give
the following a try:

    ftp://ftp.xmission.com/pub/lists/


Sincerely,
P.N.L.
http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go

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

From: "Ricardo M. Forno" <[e-mail]>
Subject: RE: (fractint) lists command for [e-mail]
Date: 20 Aug 2000 18:42:16 -0300

Many thanks, Paul.
----- Original Message -----
Cc: Ricardo M. Forno <[e-mail]>
Sent: Sunday, August 20, 2000 2:16 PM


> Ricardo M. Forno wrote:
> >
> > I tried to use the "lists" command to get information
> > on lists from [e-mail], without
> > success.
>
> There may be something wrong with the server and/or software, or they
> have blocked access to this option.  If you wish to see all of the
> "publicly-available" mailing lists on that system, then you might give
> the following a try:
>
>     ftp://ftp.xmission.com/pub/lists/
>
>
> Sincerely,
> P.N.L.
> --------------------------------------------------------------
> http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go


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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 21-08-00  (A New Tree [5])
Date: 21 Aug 2000 02:58:33 -0400 (EDT)


FOTD -- August 21, 2000 (Rating 6)

Fractal visionaries and enthusiasts:

Today's FOTD continues my current spate of tree-like images.
The scene in today's picture exists in the Julibrot of the
formula Z^1.5+C, at an orientation of within one degree of the
Julia direction.

Rotating the view this small distance from the true Julia
direction has a great effect on the appearance of the tree,
which has morphed from its symmetrical Julia shape into a
pattern of overlapping geometrical shapes that must be seen to
be believed.

The coloring of this FOTD got totally out of control.  I had
intended a serene greyish-blue palette that emphasized the 3-D
effect, but when the colors that appear in today's image flashed
by, I just couldn't let them go.  So today's picture appears
with its gaudy over-saturated color palette.

The too-intense colors dropped the picture's rating from a 7 to
a 6, which is still a little above average, but nowhere near
what it could have been if I had shown a little more self-
control.  I named the picture "A New Tree" because it's an image
of a tree a bit too stylized for easy recognition.

The parameter file is slow, taking 13 minutes to render on a
Pentium 200mhz machine.  The download is fast, taking only one
minute on a 56K modem.  That download may be found at:

          <alt.binaries.pictures.fractals>

and at:

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

The fractal weather today was once again perfect, with partly
cloudy skies and a temperature of 74F (23C), which made the
fractal cats happy.

The perfect conditions left me with no excuse for not trimming
the lawn, so I spent 90 minutes this afternoon cutting grass.
While cutting, I pondered a few of life's mysteries, none of the
thoughts being worth repeating.

So that brings us to the end.  Until next time, take care, and
take one fractal at bedtime for pleasant dreams.


Jim Muth
[e-mail]


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

A_New_Tree         { ; time=0:12:53.96 -- SF5 on a p200
                     ;  Version 2000 Patchlevel 14
  reset=2000 type=formula formulafile=multirot.frm
  formulaname=multirot-XY-ZW-new function=ident/flip
  passes=t center-mag=0.00173908/0.00819013/6.296661/0\
  .9405/22.5 params=89.77/90.53/1.5/0/0.2392/0.4909/-0\
  .188/0 float=y maxiter=6000 inside=253 logmap=11
  periodicity=10
  colors=0000H0<3>0I00I00K00K00K00K00M00M00M00M00O00O0\
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  3ge5df5eg7gh9ilBnpBouDqxFtyHxzHxzIxzKzzMxzMvzOtzQtzT\
  qxToxVnvXnvXlvYit_itagqaeqddoedogaog_ni_nlYlnXlnVioV\
  iqTitQgtOgvOexMezKdzKdzIdzHazFazF_zD_zBazD_zB<3>_zB_\
  zBYz9<2>Yt9Yq9Yq9Yo9Xn7Xl7Xi7Xg7Xg7Xe7Vd5<2>VY5VY5VX\
  5VV5TT3TQ3VO3XO3YM3_K3aI2dH2eF2gF2gD2gB2g92g70g90gB0\
  gB0gB0gB0gD0gD0gD0gD0gF0gF0gF0gF0gH0gH0gH000YgH0gH0
  }

frm:multirot-XY-ZW-new {; draws 6 planes and rotations
;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J
;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J
a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994,
z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3,
c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4:
z=z^(p2)+c,
|z| <= 36  }

END 20.0 PAR-FORMULA FILE==================================


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

From: "Thore Berntsen" <[e-mail]>
Subject: (fractint) New version of Fractint Screen Saver
Date: 21 Aug 2000 17:57:19 +0200

I released version 2.30 today.

It can be found at

http://home.online.no/~thbernt/fintsave.htm

Thore Berntsen
Norway
Email: [e-mail]


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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 22-08-00  (A Nice Fractal [7])
Date: 21 Aug 2000 22:25:33 -0400 (EDT)


FOTD -- August 22, 2000 (Rating 7)

Fractal visionaries and enthusiasts:

The parameter file of today's fractal is abysmally slow.  The
two hours required for it to render is far too long to tie up a
computer just to see a Fractal of the Day.

I don't know what makes it run so slowly.  The maxiter of 12,000
is high, but not too unusual, and the magnitude of 9.7e+009 is
also high, but I've done many fractals with a higher magnitude
that ran in only a few minutes.  The logmap of 539 is right in
the ballpark.  I guess the slowness will remain forever a
mystery.

But fear not fellow fractalers, for the GIF image has been
thoughtfully posted to:

          <alt.binaries.pictures.fractals>

and to:

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

from where it can be downloaded in a minute or so once you get
there.

The image itself, slow as it is, is a scene in the fractal I
have named "Parent Fractal".  The exact location is in the right
corner of the fan, where it joins the adjacent element.  As I
said earlier, this parent fractal is rich beyond belief, and
fractals far more impressive than today's will be coming from it
in the days and weeks ahead.

I couldn't think of a name for the picture, so I settled on a
name that sounds good but says nothing.  I named it "A Nice
Fractal".  The image rates an above average 7, mostly because of
its rather striking three-dimensional elements swirling
gracefully about.

The fractal weather was perfect today, with sunny skies and a
temperature of 77F (25C) that lured the cats outdoors for the
afternoon.  Such perfection is most unusual for August.

I skimmed an article in Scientific American magazine this
afternoon, which postulated that higher dimensions may exist
unseen all around us.  The article also went on to state that
parallel universes like and unlike ours may exist in the
hyperuniverse.  This kind of stuff always brings out the
armchair philosopher in me, so prepare for another notable
philosophical outburst in a few days.  When it comes, the
outburst will appear on the philofractal list.

Well, I see it's time to shut down the old fractal shoppe for
another day, feed the fractal cats, and take up my dozing
position in front of the TV.  Until next time, which will be in
24 hours, take care, and fractals may cure indigestion.


Jim Muth
[e-mail]


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

A_Nice_Fractal     { ; time=1:50:33.16 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 14
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+1.179380127456936/-2.951147778755755/9.7\
  34886e+009/1/-142.5 params=-1/-11/-11/-1.1/0/800
  float=y maxiter=12000 inside=0 logmap=539 periodicity=9
  colors=000QWk<2>SYmTYnU_oVZpWaqX`rYcsZat_eu<2>bhxchx\
  diweiwfkw<3>jlwkmwlmwmnz<5>sldtl`ulY<3>ykJzkIxgH<5>m\
  S8lQ7iN5<2>dF1bC0`90Z70Y40V10U00U10U40U54U87U99UCEUF\
  HUHJUJNUKQUNSUQWURZUU`UVdUYgRWhUZiV_k<2>Zcm_dmbfncgn\
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  zzzzzzzzxzz<3>izzfzzbzz<3>MzzIzzEzz<2>1zz5xz9vzCszHq\
  zKnzNkzRhz<2>``zQ_zR_zS`zU`zU`zV`zW`zYbzZbz_bz
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) FOTD 22-08-00  (A Nice Fractal [7])
Date: 22 Aug 2000 19:20:29 +1200

At 22:25 21/08/2000 -0400, Jim Muth wrote:

 >I don't know what makes [A Nice Fractal] run so slowly.  The maxiter
 >of 12,000 is high, but not too unusual, and the magnitude of 9.7e+009
 >is also high, but I've done many fractals with a higher magnitude
 >that ran in only a few minutes.  The logmap of 539 is right in
 >the ballpark.  I guess the slowness will remain forever a
 >mystery.

There's a wee project for someone once Fractint supplies truecolour
support: a timing image which colours each pixel according to how much CPU
time is spent on it (accessible via a debug flag would probably be best).
Then at least you'll know _where_ it's dragging its feet...

Morgan L. Owens
"Look, let's just get this one working, okay?"


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

From: "Jonathan Osuch" <[e-mail]>
Subject: Re: (fractint) FOTD 22-08-00  (A Nice Fractal [7])
Date: 22 Aug 2000 07:22:54 -0500

Morgan,

> There's a wee project for someone once Fractint supplies truecolour
> support: a timing image which colours each pixel according to how much CPU
> time is spent on it (accessible via a debug flag would probably be best).
> Then at least you'll know _where_ it's dragging its feet...

Would this not be equivalent/proportional to the iteration count for each
pixel?  The iteration count for each pixel can be output to a tga file by
setting truecolor=yes and truemode=iter.  This would also require setting
periodicity=0 to obtain the 'true' iteration count for each pixel.

Jonathan



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

From: "Jonathan Osuch" <[e-mail]>
Subject: Re: (fractint) FOTD 22-08-00  (A Nice Fractal [7])
Date: 22 Aug 2000 07:18:45 -0500

Jim,

> I don't know what makes it run so slowly.  The maxiter of 12,000
> is high, but not too unusual, and the magnitude of 9.7e+009 is
> also high, but I've done many fractals with a higher magnitude
> that ran in only a few minutes.  The logmap of 539 is right in
> the ballpark.  I guess the slowness will remain forever a
> mystery.

Is there a reason you are using periodicity=9?  This value will slow down
the periodicity checking because it requires two orbit values to be closer
together before the checking determines they are periodic.

Jonathan



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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 23-08-00  (Fractal in a Playpen [5])
Date: 22 Aug 2000 21:28:38 -0400 (EDT)


FOTD -- August 23, 2000 (Rating 5)

Fractal visionaries and enthusiasts:

As I related a couple weeks ago, a wasp has made her mud nest on
the corner of the Magritte picture hanging on the wall opposite
my work desk.  When the wasp was building her nest and laying
her eggs, I wondered if, when the new wasps hatched, they would
be able to find the small hole in the window their mother had
used to gain access to the room.

Early this afternoon, while I watched, the first cell in the
nest hatched out a fully-developed wasp, which flew immediately
and directly to the proper window.  Alas, the young wasp buzzed
all across the inside of the window pane, but could not find the
coin-sized hole which its mother had been using.  After watching
for a few minutes, I opened the window and let the newborn wasp
fly free.  The nest has 11 cells, so I might have to repeat my
life-saving action 10 more times.

But before that happens, it's back to fractals.

Once again I used the M-Mix4 formula and the parent fractal as
sources for the FOTD.  (And yes, I'm working on a M-Mix3
formula, but I can't quite decide what I want it to do.)
Today's picture shows a midget that lives in the parent fractal,
in an area that on the surface appears most unlikely to hold
midgets.  But fractals can be deceiving, and sometimes they just
don't do what they're supposed to.

Today's midget, being from an area that is not supposed to have
midgets, is one of the most fantastic I have yet found.  In
fact, it's a bit too fantastic, with too many disorganized and
unrelated structures and no central theme.  As a result, it
rates only a 5.

I named the picture "Fractal in a Playpen".  The name was
inspired by the two prominent dark areas in the lower-left and
upper-right corners, which appear to confine the gaudy colored
midget to the center of the screen.

The parameter file runs in 11 minutes, a large improvement from
yesterday's 2-hour leviathan.  But it is still slow enough to
make a download of the GIF image file the wiser choice.  The GIF
file may be found on Usenet, posted to the binary newsgroup:

          alt.binaries.pictures.fractals

and to the Web site run by Paul Lee at the URL:

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

The fractal weather today was still comfortable, but the
brilliantly clear atmosphere of the past few days has been
replaced by the haze that is so typical of the east coast in
summer.  The temperature of 81F (27C) was ideal for the fractal
cats, who prowled in the yard a good part of the afternoon.

My thoughts grazed some deep philosophical byways as I watched
the cats in the yard, but nothing crystallized enough for me to
write about.  As always, I'll have another go at it tomorrow.
Until then, take care, and don't get stung while watching a wasp
hatch.


Jim Muth
[e-mail]


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

Fractal_in_Playpen { ; time=0:11:16.68 -- SF5 on a p200
                     ;  Version 2000 Patchlevel 14
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+4.008671473993992/+1.645216203990216/230\
  54.52/1/114.999 params=-1/-11/-11/-1.1/0/800 float=y
  maxiter=1500 inside=0 logmap=129 periodicity=10
  colors=000F7KF7KFAKFFKFGKFLIJOGOSESXCX_A`c9dg7ij6mm4\
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  zTlz<2>LuzIxzFyzCzz<3>0xz0xz0rz0vz<13>0vz
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: Mike Traynor <[e-mail]>
Subject: Re: (fractint) FOTD 23-08-00  (Fractal in a Playpen [5])
Date: 23 Aug 2000 00:31:03 -0400

Jim Muth wrote:
>
> FOTD -- August 23, 2000 (Rating 5)

Beg to strongly differ on that rating.  A wonderfully lively, exuberant
image.  At least an 8, maybe more in my view.

Mike

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

From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) FOTD 22-08-00  (A Nice Fractal [7])
Date: 23 Aug 2000 19:06:43 +1200

At 07:22 22/08/2000 -0500, Jonathan Osuch wrote:
>Morgan,
>
> > There's a wee project for someone once Fractint supplies truecolour
> > support: a timing image which colours each pixel according to how much CPU
> > time is spent on it (accessible via a debug flag would probably be best).
> > Then at least you'll know _where_ it's dragging its feet...
>
>Would this not be equivalent/proportional to the iteration count for each
>pixel?  The iteration count for each pixel can be output to a tga file by
>setting truecolor=yes and truemode=iter.  This would also require setting
>periodicity=0 to obtain the 'true' iteration count for each pixel.

Not necessarily, at least not in higher-iteration regions. It depends on
the exact values at each iteration whether simplifications of the "plus
zero" sort occur; exactly what condition triggered bailout (though there is
only one in MandelbrotMix4); and the details of how the formula is
written/compiled.

Also, note that the settings for truecolor, truemode and periodicity aren't
the same ones that are used in the fractal image. Changing these settings
(especially, as you suggest, periodicity) would change the timings.

Morgan L. Owens
"And why is it that the same image can take different CPU times (as
measured on the <tab> screen) to render on the same machine?"



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

From: Karl Simanonok <[e-mail]>
Subject: (fractint) Re: Wasps
Date: 23 Aug 2000 02:06:49 -0700

Hey Jim,

This would be a good time to kill those nasty little suckers before they
can sting somebody.

Regards,

Karl S.

At 09:28 PM 8/22/2000 -0400, you wrote:
>The nest has 11 cells, so I might have to repeat my
>life-saving action 10 more times.



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

From: "Jim Shaffer, Jr." <[e-mail]>
Subject: Re: (fractint) Re: Wasps
Date: 23 Aug 2000 19:15:45 -0400

> This would be a good time to kill those nasty little suckers before they
> can sting somebody.

The solitary wasps, such as mud daubers, ichneumon flies, and cicada killers
(the latter two of which wouldn't be nesting indoors anyway) are generally
non-threatening despite their impressive size.  A yellow jacket colony, on the
other hand, is pretty much a destroy-on-sight proposition, beautifully-textured
paper notwithstanding.

--
"[W]hether or not [the Philadelphia Experiment] happened in 1943 is not
relevant.  It is, for us, like the 'flying saucer' a gedankenexperiment
to get us to the next step in post-Einsteinian unified field theory."
     -Dr. Jack Sarfatti, in http://stardrive.org/Jack/algebra.pdf


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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 24-08-00  (Salt and Pepper [6])
Date: 24 Aug 2000 00:41:49 -0400 (EDT)


FOTD -- August 24, 2000 (Rating 6)

Fractal visionaries and enthusiasts:

The fractal wasp problem, if it was a problem, has been solved.
This morning I removed the mud nest from the picture frame and
placed it up on a ledge under the roof of the porch, where it
will be safe from water and from where the new wasps will be
able to fly free as soon as they hatch.

Having solved the problem of the wasps, I then turned to the
parent fractal to see what I could find.  I chose a difficult
area to investigate, and as a result, the search was difficult.
But in the end persistence prevailed, and I stumbled upon
today's strange fractal Minibrot.

If my memory is correct, the route to the midget began in the
center of the valley that forms the handle of the fan, led past
a poorly defined midget into an area of chaos, and then into a
spiral, where I located the midget by blinking into and out of
color-cycling mode.

When I saw the many white grains in the image, I named the
picture "Salt and Pepper", and rated it a slightly above average
6 on my fractal scale.  The image is another fine one from the
parent fractal, the depths of which I have barely started to
search.

The parameter file runs in 20 minutes -- far too slow a process
for impatient fractal fans.  But the GIF file of the image has
been posted to:

          alt.binaries.pictures.fractals

and to:

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

from where it may be downloaded for instant relief.

The fractal weather today was mostly cloudy with a few sprinkles
of rain.  Luckily the fractal cats finished their outside
adventures before the rain began.  The temperature of 81F (27C)
was near ideal.

The philosophy will return in a day or so.  Right now I'm going
to shut down the fractal shoppe and call it a night.  Until
tomorrow, take care, and be happy as you search for the perfect
fractal.


Jim Muth
[e-mail]


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

Salt_and_Pepper    { ; time=0:19:47.10 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 13
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-0.2005787997640058/-0.00191045176797087/\
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  z0oz2mz4mz6kz8kzAizCizEgzGgzHezJezLdzEdzGdzGdzHdzHdz\
  Jd
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: Jim Muth <[e-mail]>
Subject: (fractint) Re: FOTD 23-08-00
Date: 24 Aug 2000 00:57:54 -0400 (EDT)

At 12:31 AM 8/23/00 -0400, Mike Traynor wrote:

>> FOTD -- August 23, 2000 (Rating 5)
>
>Beg to strongly differ on that rating.  A wonderfully lively, exuberant
>image.  At least an 8, maybe more in my view.

Yes, the 5 rating was too low, but it's how I felt at the time I rated
the image.

Judging the image one day later, I feel I should have given it a rating
of 7.  An 8 would have been a bit high considering the lack of time I
had available for coloring the image, and the excess intensity of the
colors.  I rate my efforts quite conservatively.  When I give a rating
of 9 or 10, I want it to indicate a truly exceptional (IMO) fractal.  I
want to be certain the image is actually worth the rating.

Jim M.


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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 25-08-00  (The Lead Egg [6?])
Date: 24 Aug 2000 21:19:42 -0400 (EDT)


FOTD -- August 25, 2000 (Rating 6?)

Fractal visionaries and enthusiasts:

I goofed on today's fractal.  Today's fractal lays an egg.  It
goes over like a lead balloon.  It even has a leaden color
around the midget.  I therefore had no choice but to name it
"The Lead Egg", a title that also belongs to a short story I
started but never finished a few years ago about a man who gets
snatched into the fourth dimension, wanders about a bit, and
returns to 3-D space as his antimatter mirror image moving
backward in time.

I goofed by neglecting to set the maxiter to a high enough value
to fully reveal the central midget.  I checked sure enough, and
found that a maxiter of 2700 is sufficient, but then I forgot to
reset the maxiter of the image as I started it on its final
render and went about other things.  As a result, we have a
midget that at a maxiter of 1800 is only half there.  Of course,
in a world where scientists deal with virtual particles that are
only half there, this is not necessarily a fatal flaw.

The image would have rated a solid 6 if the midget had been
fully defined.  But even without a perfect midget, it's still a
respectable image.  I decided to rate it a 6 despite the flaw.
I included a question mark in the rating because I'm not sure
the rating is justified.

The picture is another scene in the "Parent" fractal, one of the
most prolific producers of unusual midgets I have yet found.
The image is located in the 'fan' of its parent, somewhat toward
the edge of the fan, where the fan starts to erode.  And
speaking of the 'parent' fractal, I have made a print of it and
hung it on my bulletin board, where I can glance over at it
often, and spot likely areas for investigation while I'm
involved in other matters, such as work.

Today's picture is on the slow side, so don't hesitate to go to:

          alt.binaries.pictures.fractals

or to:

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

to pick up the pre-rendered GIF image with data.

The fractal weather today was cloudy and muggy, but with no
rain.  The temperature of 84F (29C) was superb.  I have no idea
why the fractal cats decided to remain indoors.  Maybe the wasp
nest under the porch roof spooked them.

But I have a very good idea why I'm about to shut down the
fractal shoppe and call it a fractal night -- that's what it is.
The philosophy is still brewing, so don't give up hope.

Until tomorrow, take care, and I never finished that story
because I could think of no resolution to the temporal paradoxes
I had introduced.


Jim Muth
[e-mail]


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

The_Lead_Egg       { ; time=0:33:28.90 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 14
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+1.27724387176778300/+2.72426216725098000\
  /1.751895e+007/1/-37.5 params=-1/-11/-11/-1.1/0/800
  float=y maxiter=1800 inside=0 logmap=394 periodicity=9
  colors=000QF7QF7R88SAAUDBVEDXHE<2>_MFaOFbQHcSHeUHfXH\
  fYIeZIc_IcaJbbIbcIabIa_IaZH_YH_XH_UHZSHZRFYQFYNF<2>X\
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  qISrJRrJOsKMuMJuMI<3>oXJnZJmaJkcJjfJigJ<3>crJbuJawJ_\
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  s<2>KZg8XcBU_DRXFOXHMVJMUKMUNMSOMSRMRSMQVMQXMOYMOXSJ\
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  vewvawwYwy<2>Nvz<2>OuzOuzQsyQsyQsyRsw<3>SrvSqvUquUqu\
  Uru<2>YvyZwz_yzazzbzzezzfzz
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: [e-mail]
Subject: Re: (fractint) FOTD 25-08-00  (The Lead Egg [6?])
Date: 25 Aug 2000 07:36:24 GMT

On Thu, 24 Aug 2000 21:19:42 -0400 (EDT), Jim Muth
<[e-mail]> wrote:

>
>FOTD -- August 25, 2000 (Rating 6?)
>
>Fractal visionaries and enthusiasts:
>
>I goofed on today's fractal.  Today's fractal lays an egg.  It=20
>goes over like a lead balloon.  It even has a leaden color=20
>around the midget.=20

I liked this fractal. More than you did the first time it was put on
the web page. Somebody needs to check and find how this got to be the
3rd time this fractal was picked as FOTD. Fruedian slip perhaps? The
spirit of this fractal was offended by your first rating? :)

juice --have fun --harm none
INTP  web2.airmail.net/ebt
fractal eye candy http://www.contest2k.com
contest coming soon.

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

From: "Jonathan Osuch" <[e-mail]>
Subject: (fractint) Evolver restoration problem
Date: 25 Aug 2000 16:39:12 -0500

I've found another problem with restoring evolver images.  If you save an
evolver image with a zoom box displayed (except for the center image), the
parameters that get restored are for the zoomed subimage.  This makes
regenerating any but that one subimage impossible.

I'll try to fix it this weekend.

Jonathan



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

From: Tim Wegner <[e-mail]>
Subject: (fractint) Fractint down - see the mirrot
Date: 25 Aug 2000 21:18:09 -0600

The spanky.triumf.ca web site is down, but it is mirrored at

spanky.fractint.org

 if anyone needs it. Thanks to Damien Jones!

Tim

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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 26-08-00  (Gnats Around a Midget [8])
Date: 25 Aug 2000 22:37:32 -0400 (EDT)


FOTD -- August 26, 2000 (Rating 8)

Fractal visionaries and enthusiasts:

I've heard it said that midgets draw gnats like garbage draws
flies, but I didn't believe it until today, when I stumbled upon
this gorgeous little midget, with its spiralling arms and its
swirling clouds of gnats.

Well, actually, the midget is too small to fully resolve, so
you'll have to take my word that it's really down at the center
of the image.  But the inability to resolve the midget is no
loss, because I've been close enough to the midget to realize
that its pattern deteriorates beyond the magnitude of today's
picture.  I named the scene "Gnats Around A Midget", which
accurately describes the clouds of gnats I see swirling through
the scene.  Since I like the image, I rated it an 8.

To create today's fractal, I made a slight adjustment to the
'parent' fractal, reducing the absolute value of imag(p2) from
-1.1 to -1.08.  The effect of the slight change on the overall
shape of the parent is pronounced, though the inner details
remain pretty much the same.

At just under 13 minutes, the parameter file tries one's
patience.  Relief for the patient and impatient alike may be
found on Usenet, in the form of the GIF image file, which has
been posted to the binary group:

          alt.binaries.pictures.fractals

Relief is also on the Web at the URL:

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

The fractal weather today was near perfect, with bright sun,
blue skies, puffy clouds, and a temperature of 85F (29.5C),
which lured the fractal cats onto the porch, then down into the
yard, where they chased butterflies.

Well, the butterflies have now gone, the cats are back indoors,
and it's time to call it a fractal night.  Until next time, take
care, and if it's all in the mind, it doesn't matter.  If it's
all matter, I don't mind.


Jim Muth
[e-mail]


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

GnatsAroundAMidget { ; time=0:12:48.34 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 14
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+2.58553061120662/-2.735415106091736/1.64\
  3018e+011/1/-7.502/0.002 params=-1/-11/-11/-1.08/0/800
  float=y maxiter=800 inside=0 logmap=219 periodicity=10
  colors=000az7cz8ez8gwBisEjqF<3>ocOq_RrYSsUVuRYvNZwKa\
  yHczEezAggb7z7izEgwJfuQfrVeo_cnfckkbiqafwacz_7D8bz_a\
  zZazZ_yY_vYZrXZoXYmVYjVXgUXcUVaSVZSUXSUURSQRSNQRKQRI\
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  cMzfMzfJzgMziNzjQzkRymUvnVuoXsqZrr_qsbnucmvfkwgjyiiz\
  kfzm<3>azu_zvZzmZyeYvYYrQXnHXk8Vg0Ve0bj0jn4rrAzvFzwJ\
  zzKzzMzzNzzJwzOrzUmyY<2>XqkRnoMkuHjyFkuEkqDkmBmiBme<\
  2>7nU6nQ6nM4oI<2>2o68q4<2>Qq3Xq2aq2is3fq2eo2cn2bk2aj\
  2<3>Xc2Vb2Ua2SZ0RY0QX0OU0NS0MR0KQ0JN0IM0HK0DH0FJ0HK3\
  IM6JN7KOAMRDNSEOUHQVJRXMSZN<2>XbUYcXZfZ_gaaib<2>emif\
  ggfcgf_gfXg<3>fFffBef7ef3ef0e_zkf0eb0g<3>SMoQRqNXrJa\
  uHfvEkyBqz8vz6zz3zz2zz2zw0ys0wo0um<4>0kV0iR0gN0eK0cH\
  0aD0_8Ks0Nu0Ou0Rv0Uw2Vw3Yy4_z6
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: "Andrew Coppin" <[e-mail]>
Subject: (fractint) FOTDs
Date: 26 Aug 2000 16:17:39 GMT

The FOTD for the 26th fully desirved it's rating of 8. In fact, the last few
images have all been very different, rich, and wonderfull to behold.
Thankyou Jim! Keep it up!

________________________________________________________________________
Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com


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

From: "Paul N. Lee" <[e-mail]>
Subject: Re: (fractint) FOTD 10-08-00  (A Pleasant Fractal [3])
Date: 26 Aug 2000 11:29:36 -0500

Fernando Bresslau wrote:
>
> Hi, Jim, but now you got me curious!
> compare today┤s FOTD and the one in
> 09 July, 2000, Nothing Much.  The image
> is the same one!
>

The problem is not with Jim's images, but with my creation of the web
pages.  A different routine used to create the pages had caused a four
days to have the same image as "Nothing Much".  They have all been
corrected:

    FOTD 15-07-00  This is a Minibrot
    FOTD 28-07-00  Carousel
    FOTD 10-08-00  A Pleasant Fractal
    FOTD 25-08-00  The Lead Egg


Sincerely,
P.N.L.
http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go

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

From: "Paul N. Lee" <[e-mail]>
Subject: Re: (fractint) FOTD 25-08-00  (The Lead Egg [6?])
Date: 26 Aug 2000 11:33:12 -0500

Elaina "Juice" B. T. wrote:
>
> Somebody needs to check and find how this
> got to be the 3rd time this fractal was
> picked as FOTD.  Fruedian slip perhaps?
>

The problem is not with Jim's images, but with my creation of the web
pages.  A different routine used to create the pages had caused four
days to have the same image as "Nothing Much".  They have all been
corrected:

    FOTD 15-07-00  This is a Minibrot
    FOTD 28-07-00  Carousel
    FOTD 10-08-00  A Pleasant Fractal
    FOTD 25-08-00  The Lead Egg


Sincerely,
P.N.L.
http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go

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

From: [e-mail]
Subject: (fractint) OT : Gamma correction help?
Date: 26 Aug 2000 18:10:57 EDT

Hi all, I hope everyone's having a great time preparing entries!
I wonder if anyone can point me to information to help with the following....

Recently, the display unit failed and was repaired.  As a result of this,
images look way too bright and washed out when opened by my all-purpose
"wrench", Paint shop pro.  If I set the monitor gamma back to the old setting
they appear correct.  However, I have to set it to the new gamma to  make the
images still appear correctly hued when opened on an html page in netscape or
opened for viewing in Irfan view.  If I correct the  picture gamma on my
contest entry possibles in paint shop pro I can make them look as they were
created again BUT they then are way too dark in the other two programs.
 I've adjusted the display as much as i can with the controls (including the
blue and red guns' gain) available (the brightness has to be turned almost
all the way down to even approach a black background...no true black at all
at any setting)  and have narrowed the discrepancy between old and new but
not enough.  I don't understand how they can be displayed correctly in two of
three programs.
Help?
Thank you for any assistance!

~ren

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

From: [e-mail]
Subject: Re: (fractint) OT : gamma question correction
Date: 26 Aug 2000 20:10:05 EDT

In a message dated 00-08-26 18:12:19 EDT, you write:
Correction!   I stated the problem incorrectly, sorry!
<<
 Recently, the display unit failed and was repaired.  As a result of this,
 images look way too bright and washed out when opened by my all-purpose
 "wrench", Paint shop pro but the same as they originally did if viewed in
netscape or irfanview. If i set the monitor gamma back to it's pre-repair
setting  netscape and irfanview and psp look identically correct.   If I set
the monitor gamma for the new repaired output and  then correct the  picture
gamma on my
 contest entry "possibles" in paint shop pro I can make them look as they
were
 created again BUT they then are way too dark in the other two programs.
  I've adjusted the display as much as i can with the controls (including the
 blue and red guns' gain) available (the brightness has to be turned almost
 all the way down to even approach a black background...no true black at all
 at any setting)  and have narrowed the discrepancy between old and new but
 not enough.  I don't understand how they can be displayed correctly in two
of
 three programs.
 Help?
 Thank you for any assistance!

 ~ren
  >>

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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 27-08-00  (The Fractal Pods [7])
Date: 26 Aug 2000 22:26:59 -0400 (EDT)


FOTD -- August 27, 2000 (Rating 7)

Fractal visionaries and enthusiasts:

Yes, I realize that it's Saturday evening as I write this, and
Saturday evening is the time for the junky old sci-fi movies to
appear on the TV.  Of all the good oldies, "Invasion of the Body
Snatchers", from the 1950's, is one of the best.  In that movie,
vegetable pods from outer space land in a small California town
and begin taking over the personalities of the inhabitants.

The enclosed shapes surrounding the tiny midget in today's
picture remind me of those pods from space.  The name "The
Fractal Pods" seemed perfectly appropriate, so that's the name I
gave the picture.  When it came time to decide on a rating, I
found myself undecided between a 6 or a 7.  I decided on a
rating of 7, as I feel I have been a bit too conservative in my
ratings.  After all, what good is having a rating of 9 or 10 if
nothing ever rates that high?

I colored the image so as to emphasize the outlines of the
pod-like shapes surrounding the little lost midget at the
center.  When today's image was complete, I zoomed into it, to
the point where eight pods surround a much larger midget.  But
even though I applied the same color palette to this deeper
zoom, the image was not as striking as the one with four pods,
which made the lofty status of FOTD.

The scene of today's image is another one buried deep in the
second version of the 'parent' fractal.  Instead of being
located in the 'fan', today's scene is located off-center of a
ring to the lower-left of the fan.  The four pod-like structures
are not quite like anything I have seen in fractal-land.  The
MandelbrotMix4 formula certainly is surprising.

The parameter file renders in a slow 10 minutes, which makes the
couple minutes it will take to pick up the GIF file from:

          alt.binaries.pictures.fractals

or from:

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

seem fast by comparison.

Before getting on to the all-unimportant weather, I must
announce that one more wasp has hatched from the mud-nest
sitting high under the roof of the fractal porch.  Now as for
that weather . . .

The fractal weather today was once again near perfect, with lots
of sunshine and a temperature of 85F (29.5C) to keep the cats
contented.

And that abrupt conclusion will have to end the day's FOTD.
It's getting late and the fractal cats want to eat.

Until next time, which will arrive in 24 hours, take care, and
be at peace with your fractals and yourself.


Jim Muth
[e-mail]


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

The_Fractal_Pods   { ; time=0:09:52.37 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 14
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-4.227215139919892/+3.564638496815993/553\
  27.29/1/172.5 params=-1/-11/-11/-1.08/0/800 float=y
  maxiter=1800 inside=0 logmap=179 periodicity=10
  colors=00011I<3>11K21L31N41N<2>51R51S71S<2>81X80Y80Y\
  80ZA0`A0aA0b80aA0bA0bA0bA0d<2>B0eB1eB1eC2fC3fC3fC4hC\
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  GV`HVZIWYKYYLYXMZVOZVP_TQaSSaRUbRVbPWcOYeOZeN_fLYbPa\
  fLejJhoGipIipIjpIjpJjrJlrJ<2>msKmsKosKosLpuLpuLpuNru\
  N<2>svOsvOuwOuwOvwPvwPvyPwyRwyRyyR<5>zzTzzTzzTzzVzzV\
  zzVzzVzzX<3>zzYzzYzzYzzYzvVzpTziRwcPuaOrZLoYKlWJiUGf\
  PFcLEaGBZCAY88Z8AZAA_AA_BB_CBaFBaGBaGDbHDbHDbIDcKEcK\
  EeLEeLFeMFfOFfOFfPGhQGhUGhVGiYI<2>jcJjeJlhJljJljKmlK\
  mlKmmKooLooLppLppNprNrsNrsNruOsuOsvOsvOuuPuuPvuRvsR<\
  2>wrTwrTyrTypVzpVzpX<2>zoYzoYzmZzmZzlZzl`zj`<3>yhayh\
  ayfayfbyebyebzca<3>zcXzcVzcT<19>zcT
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: "David Jones" <[e-mail]>
Subject: Re: (fractint) FOTD 27-08-00  (The Fractal Pods [7])
Date: 26 Aug 2000 22:02:52 -1000

On 26 Aug 00 at 22:26, Jim Muth wrote:

> In that movie, vegetable pods from outer space land in
> a small California town and begin taking over the
> personalities of the inhabitants.

Well, I understand that really happened, but only at the
Democratic and Republican national conventions! ;-)

Another blast of bits from David
http://home.hawaii.rr.com/aliasjj/   http://www.hawastsoc.org/
For the best Hawaii & Pacific Basin surf forecast:
    http://www.surfreporthawaii.com

Random Thought for this Nanosecond
Hi. You've reached 123-4567. Everyone here was just offered as a blood sacrifice, but if you leave a message, one of their ghos
ts might call you back. (D.Jones)



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

From: Marty Krikorian <[e-mail]>
Subject: (fractint) Video Disk modes
Date: 27 Aug 2000 10:29:02 -0700

I have been trying to try out very large images with the newly expanded
video disk capabilities of version 20.  I have found, though, that while I
can create images that are larger than 2048x2048, I can't get very large.
9999x9999 simply doesn't work - the image renders smaller than the size
specified. The documentation implies that anything I set up in the file of
driver modes should work, (anything up to the new maximum pixel count, that
is).

I would like to hope that I am not being clueless, here!  Any suggestions?

Marty K.



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

From: "Jonathan Osuch" <[e-mail]>
Subject: Re: (fractint) Video Disk modes
Date: 27 Aug 2000 14:50:07 -0500

Marty wrote,

> I have been trying to try out very large images with the newly expanded
> video disk capabilities of version 20.  I have found, though, that while I
> can create images that are larger than 2048x2048, I can't get very large.
> 9999x9999 simply doesn't work - the image renders smaller than the size
> specified. The documentation implies that anything I set up in the file of
> driver modes should work, (anything up to the new maximum pixel count,
that
> is).

I just made a 9999x9999 image of the default mandelbrot set.  Although I am
using the developer's version (20.0.15, not released yet) I don't see any
changes from version 20.0.0 which would have affected this.

I pulled the 3,343,708 Byte image into Paint Shop Pro and it read it as
9999x9999.

How are you determining that the image size isn't 9999x9999?

Jonathan



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

From: Mark Christenson <[e-mail]>
Subject: Re: (fractint) Video Disk modes
Date: 27 Aug 2000 19:25:18 -0700

At 02:50 PM 8/27/00 -0500, Jonathan wrote:
>...
>I just made a 9999x9999 image of the default mandelbrot set.  Although I am
>using the developer's version (20.0.15, not released yet) I don't see any
>changes from version 20.0.0 which would have affected this.

How do you specify arbitrary image sizes?  I tried to specify
1028x1028 using viewwindows, but kept getting 2048x2048.


TIA,
        Bud


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

From: Mark Christenson <[e-mail]>
Subject: (fractint) simplgif problem
Date: 27 Aug 2000 17:08:54 -0700

I am doing last-minute work for the contest, and have
encountered trouble with simplgif.  This is something
I have never seen before.

Load error: no DPMI

This happens whether or not I specify in/out files. I should
note that I have installed FReego (possible connection?).
I have looked in the Fractint documentation and found nothing.


TIA,
        Bud


------- End of forwarded message -------

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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 28-08-00  (Every Which Way [6])
Date: 28 Aug 2000 01:38:38 -0400 (EDT)


FOTD -- August 28, 2000 (Rating 6)

Fractal visionaries and enthusiasts:

The discussion will be a short one tonight because due to a
lightning storm and the resulting intermittent power outages, I
haven't been able to keep the computers plugged in.  But having
suspected that something like this would happen, I found the
day's fractal before the excitement began.

To produce today's image, I further reduced the imag(p2)
parameter of the 'parent' fractal to an absolute value of
-1.051.  This change caused the parent fractal to balloon out
to immense size.  Checking the outskirts of the elephantine
fractal, I found an area that looked interesting.  Today's
scene with its unusually well defined midget lay buried in
that interesting area.

The name I gave the picture, "Every Which Way", has little
relation to what appears on the screen.  Being unable to think
of a proper name, I came up with this name at random.  Actually,
I would rather not name the FOTD images at all, but I feel it
helps organize the ever-growing collection of fractals.  The
rating of 6 is well-earned.

The draw time of over 8 minutes makes the parameter file a bit
slow, making a download of the finished image the marginally
better choice.  The download may be found by going to Usenet at:

          <alt.binaries.pictures.fractals>

or to the Web at:

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

The fractal weather today was mostly cloudy and very unsettled,
with a parade of small thunder-showers all afternoon building to
a monster storm at 7pm, which flooded (really) the fractal
basement and sent the cats scurrying for cover in the access
hole to the bathroom plumbing, where they cowered for over an
hour.  The temperature of 80F (26.5C) was fair enough, though
the wetness kept the cats confined to the indoors.

Since I'm in a state of philosophical exhaustion after
yesterday's outburst, there is no philosophy today.  But more
wisdom, (or foolishness if you will), will eventually appear,
and it could appear as soon as tomorrow.  Until then, take care,
and keep your basement dry.  (Which is more than I can do.)


Jim Muth
[e-mail]


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

Every_Which_Way    { ; time=0:08:14.55 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 14
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+10415.91590771186/-18371.75946816593/140\
  .4401/1/-44.999 params=-1/-11/-11/-1.051/0/800
  float=y maxiter=1200 inside=0 logmap=95 periodicity=0
  colors=0006fS<3>ThEZiBci8ZiBVO7RD6N36eAFhHOwOWnScpVk\
  hYs<3>gPrgNrgLrgJrgHr<2>Q6gK3_F0`ECKNXEQr3Oj6Ng9MgB<\
  2>JcJ<3>VLPYGR`BSb7TKTV1mX4bj7Sx<2>cBx<3>bqX<2>H4R<3\
  >57H27F5BJ<7>MdgOhjQlm<3>Yzy<4>SyhRxeQxb<3>MxQ<3>aza\
  ezcbtf<3>UXoSRqQLtOFvM9x<6>_`gaddchb<3>kxU<3>POV<6>W\
  WNXXMYYL<2>``IaaHddG<3>lmDnpDprCrtC<6>YaPV_RSXT<3>GN\
  _<3>IbSIeQJiO<3>KxH3_X<4>BZiDZkEZn<3>KZw<6>G``G`YF`U\
  <3>DaHDaKCaUCacMUmVNwdGwm9r<2>qFr<2>tKcuQZvVUw_TxdUy\
  bW<3>zVczUezTg<3>zRozRqzQszQuzPwzPxzQy<5>zPzzPzzPz<2\
  >zPzzPzzRz<3>zXzzYzz_z<2>zczzdzzcz<5>zaz
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: "Jonathan Osuch" <[e-mail]>
Subject: Re: (fractint) Video Disk modes
Date: 28 Aug 2000 06:40:14 -0500

Mark wrote,

> How do you specify arbitrary image sizes?  I tried to specify
> 1028x1028 using viewwindows, but kept getting 2048x2048.

It hadn't occurred to me to use viewwindows.  I always edit a disk video
entry in fractint.cfg.

> I am doing last-minute work for the contest, and have
> encountered trouble with simplgif.  This is something
> I have never seen before.

Don't use simplgif.  Fractint will sew the images together itself.  Leave
the simplgif line remarked out in the batch file.

Judging from the error message, it sounds like you aren't working in a DOS
box under Windows.  You would need to install a memory manager that can
provide DPMI.  It's easier to just use Fractint to make the complete sewn
together image.

Jonathan



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

From: Noel Giffin <[e-mail]>
Subject: Re: (fractint) Fractint down - see the mirrot
Date: 28 Aug 2000 11:11:03 -0700

Tim Wegner wrote:
>
> The spanky.triumf.ca web site is down, but it is mirrored at
>
> spanky.fractint.org
>
>  if anyone needs it. Thanks to Damien Jones!

Spanky was down all weekend due to a power outage, and I was unavailable.
The site is back up now.

    Cheers,
    Noel

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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 29-08-00  (Indescribable Minibrot [6])
Date: 28 Aug 2000 21:16:33 -0400 (EDT)


FOTD -- August 29, 2000 (Rating 6)

Fractal visionaries and enthusiasts:

Today's grade-6 fractal is simply beyond description.  So what
better name could I have given it than "Indescribable Minibrot".

It's a slow-to-render picture of a midget that exists in the
original 'parent' fractal, in a valley of a roughly Mandel-
shaped hole near the top of the fan.  The midget itself is
shaped exactly like all the other quadratic Minibrots, but the
pattern around the midget has gone totally bonkers.

The first name that came to mind when I saw the finished image
was "Fractal Lima beans".  The green loops in the corners
certainly do look like lima beans lined up in their pods.  But
such a name has no class, and the FOTD at least tries to be a
classy project.  After 1/2 hour passed and I thought of nothing
more appropriate, I decided that the picture was indescribable,
and named it accordingly.

The scene of today's picture is deep in a valley of its parent
fractal, making the iteration count rather high and the
parameter file quite slow.  Unless you enjoy waiting the better
part of an hour to see your fractals, run do not walk to:

          alt.binaries.pictures.fractals

or to:

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

and download the pre-rendered GIF file from there.  I know that
Paul's FOTD web site has had a few bugs lately, but it should be
working correctly by now.

The fractal weather today was partly cloudy with a temperature
of 82F (28C), and a deep blue sky with puffy white clouds such
as one would see from a beach deep in the tropics.  It would
have been a perfect day for the fractal cats had a light shower
not fallen in the afternoon and wet the grass.  Fractal cats
don't like to get their paws wet when they go outdoors.

While waiting for a particularly large graphic image to print
this afternoon, I somehow got into a discussion with an
impatient customer about some of my more outlandish metaphysical
ideas.  As we conversed, it became apparent that the more I
tried to explain my ideas the more confused he became.  After a
few minutes, he asked me whether or not I believe in science.  I
replied that I not only believe in it, I am absolutely certain
that it exists.  At this point the printer started printing,
saving one of us further embarrassment.

The deep philosophy is still smouldering.  Keep checking -- you
wouldn't want to miss the excitement when it bursts into flames.
And there is a 10 percent chance that the blaze will come
tomorrow, so until then, take special care, and some ideas are
best kept to one's self.


Jim Muth
[e-mail]


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

Indescribable_Brot { ; time=0:48:15.13 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 14
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+5.09485593926787100/+1.88233265508959000\
  /108831.4/1/-75 params=-1/-11/-11/-1.1/0/800 float=y
  maxiter=6000 inside=0 logmap=800 periodicity=10
  colors=000733100<3>000036<2>0LS0Q_0Xf0am0gu0mz0oz0rz\
  3uzCvzLyySzu`zrizorzlyzivzcsz_pzVmzQlzM<2>cz9`z4_z0`\
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  mJXlM_jP`iScgVffYid_jcamad<2>u_lo_ij_ff_d`_aX__S_YM_\
  VI_TD_Q7_O3_M0_J0`F0_I0YL0XM4VP7TQASTFSV<3>SMcVLfYLg\
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  <2>zczzYzzTzzMzvFvg4gT9TF9F0D04I09M1DQ4GT7LYAP`CTfFY\
  jI`mLdrOivQmzTozXpzVpzTpxSpzQvvPpoOplOpiMpfLpcJr`IrY\
  GrVFrSF<3>rG9rD7rA6<2>sO7sS7uX7u`7ud7ug9<2>vp9vs9xv9\
  xyA<3>yzAyzAzzDyzApz7gz6_z3Sz1<2>1z00z0Jz9Dz6
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: "Jonathan Osuch" <[e-mail]>
Subject: (fractint) Patch 15
Date: 28 Aug 2000 21:14:42 -0500

I've uploaded the patch 15 executable.  http://www.fractint.org/ftp/

This patch fixes a couple of bugs and adds two new features.  There is now a
prompt for periodicity on the <y> screen and when using a disk video mode
the <v> screen can now be used to set the resolution.

Jonathan



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

From: Bill Jemison <[e-mail]>
Subject: (fractint) Video Disk modes
Date: 29 Aug 2000 23:01:44 -0400

 <I have been trying to try out very large images with the
 <newly expanded video disk capabilities of version 20. I have
 <found, though, that while I can create images that are larger
 <than 2048x2048, I can't get very large. 9999x9999 simply
 <doesn't work - the image renders smaller than the size
 <specified. The documentation implies that anything I set up in
 <the file of driver modes should work, (anything up to the new
 <maximum pixel count, that is).

 <I would like to hope that I am not being clueless, here!  Any
 <suggestions?

 <Marty K.

I put entries in my fractint.cfg file for large diskvideo modes. I have
made files 16,000 x 12,000 without problem.

Bill

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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 30-08-00  (Giant Flying Boobs [X])
Date: 29 Aug 2000 23:01:07 -0400 (EDT)


FOTD -- August 30, 2000 (Rating X)

Fractal visionaries and enthusiasts:

If you're a sensitive, easily offended fractal fan, stop here.
Avert your gaze.  Do not run the parameter file; do not view the
image.  If you do, you could be outraged.  Today's image has
virtually no class at all.  It's filled with boobs.  No, I don't
mean a group of stupid people, I mean exactly the objects that
come in pairs that you're thinking of.

And the boobs are not just lying around, they're flying -- in
pairs of two naturally.  The picture could almost be named
"Attack of the Killer Boobs", but I named it "Giant Flying
Boobs", since that name has just the slightest bit more than
zero class.  The near total lack of class brought the rating
down to an unrated X, but it's really a fun picture, so who
cares about the no-class rating?

The image is a scene in the second version of the 'parent'
fractal.  The location is at the edge of the fan.  The actual
edge is the broken line near the bottom of the frame, where the
ground appears to merge with the sky.  The flying boo . . . er
. . . objects are actually holes in the fan, and they are filled
with interesting midgets, which I have not yet even attempted to
investigate.

The parameter file is a reasonably fast 5 minutes, much better
than we've been doing lately, but still slow enough to make the
download the better choice.  The download may be found at:

          alt.binaries.pictures.fractals

on Usenet, and at:

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

on the Web.

The fractal weather today was mostly cloudy with on-and-off
showers.  The temperature of 76F (24.5C) was near perfect,
though the wet grass kept the cats confined to their ledge by
the window.

Despite the lack of class of today's FOTD, the philosophy did
quite well today, as I gathered some recent musings about my
favorite topic, science and religion, and combined them into a
single essay.  The whole works will be ready for dissemination
by tomorrow.  If I don't edit the long article before then,
tomorrow's philofractal version of the FOTD discussion will
likely be the longest on record.

So don't miss the excitement, which will appear in roughly 24
hours.  Until then, take care, and address your complaints to:


Jim Muth
[e-mail]


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

Giant_Flying_Boobs { ; time=0:05:05.34 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 14
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+5.56368987902727000/-0.05772316170931142\
  /3359.267/1/60 params=-1/-11/-11/-1.08/0/800 float=y
  maxiter=600 inside=0 logmap=75 periodicity=10
  colors=000J3zK4zL6zN7zOAz<3>VGzWIzXJzZMz<3>dSzeTzgVz\
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  us_us`ur`upaupcuoduofumgumiuliujjujluimuiougpugrufru\
  dsuduucvucxuayuayucx<2>udxudxudvudvtfvsfvqfvpgvmgukg\
  ujguhiueiudiubgs<3>bgybgzbgz<10>bgz
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: [e-mail]
Subject: Re: (fractint) FOTD 30-08-00  (Giant Flying Boobs [X])
Date: 30 Aug 2000 00:33:46 EDT

If that is the invasion force, imagine the MOTHERSHIP.
Fabulous image, really.
-Lee Fairbanks

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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 31-08-00  (Full Repentance [7])
Date: 30 Aug 2000 21:12:20 -0400 (EDT)


FOTD -- August 31, 2000 (Rating 7)

Fractal visionaries and enthusiasts:

After posting yesterday's X-rated fractal image, I felt the need
for repentance.  I repented with today's safe-for-the-children
image, which has nothing off-color whatsoever in it, and which I
named "Full Repentance" to show that I am truly repentant.  The
picture rates a 7 -- a vast improvement over yesterday's X-rated
effort, but then anything would be an improvement over yesterday.

The image is a scene in the second version of the 'parent'
fractal.  Its location is deep in an inconspicuous bay to the
lower right of the 'fan'.  A midget does lie at the center of
the frame, but the depth at which I calculated the image is the
point of best artistic worth.

It's a broken-up scene, with lots of holes surrounding a central
midget, which of course is invisible.  The holes are arranged
into orderly patterns, which, aided by the coloring, gives a
good 3-D effect to the picture.

Unfortunately, the parameter file is another slow one, making
the trip to Usenet at:

          alt.binaries.pictures.fractals

or to the Web at:

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

well worth the effort.

The fractal weather today was partly cloudy and 80F (26.5C) --
perfect conditions were it not for a sudden mid-afternoon
shower, which sent the fractal cats scurrying for cover, and
turned their good mood sullen.

Yesterday I promised to post much philosophy today, but I just
didn't have time to finish editing the philosophical article,
which was far too long-winded.  I did edit it down to almost
half length today, but it is still a rambling, repetitive 4-1/2
pages and needs yet more editing.  Also, I'm not in the mood
today to take another poke at science.  So I'll let the article
sit and ripen for another day or two before making it public.

As for myself, at this time I'm going to call it a night and
probably tune the TV to the ball game.  Until next time, take
care, and I really do enjoy science.


Jim Muth
[e-mail]


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

Full_Repentance    { ; time=0:37:41.78 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 14
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-1.528451049282987/-2.380077835990013/4.9\
  03816e+010/1/-6.977/-0.598 params=-1/-11/-11/-1.08/0\
  /800 float=y maxiter=1500 inside=0 logmap=204
  periodicity=10 colors=000LUhKVjKVkKWlIYnI_nI`oH`qHar\
  HcsFduFewFewCdrAcn9aj<2>4_Y2_U1YP0WL0VH0VC0U70S20S00\
  S1<3>US7`S9gSAnSCuNEzSFzSHzPFzMFyLFwIFsFFrEFoAFl9Fj6\
  Eg2Ee1E<2>Y0EV0EU0E_0Cd2CjACnHChIEcKFYLHSLIMMKHOLAOL\
  9MM<3>9MS9MU9MV6K`4He2Fj1Co09s07y04z01z00z69zIIzVRze\
  YzgVzhUzjRzkPwlMsoKoqIlrFhsEeuAaw9_u7Ys7W<2>r6Sq6Rq4\
  Po4Pn4On2Ml2L<2>k1Hj1Fj1Fe2Kc4M`6PW6UU7WR9_MAaKAeHCh\
  CEk9Fn6Fr1Hu0Ix0Iz9HrLHkWFdgFWrEPzEIYee0zz4zz9zzEzzI\
  xzLwz<2>Yqzaozdnz<2>qhyugyxeyYxn6zd4ze2zg1zh1zj0zk0z\
  k<3>0zq0zr0zr6yuIrxVlyeezq`z<3>VPzPMyKKy<2>1Cx0Ew0Ew\
  0Ew0Eu0Fu0Fu0Fs0Fs0FsAUeMeSYrEhz0`x7SqFLjMCcU4W_6VW6\
  UU6SR6SO7RM7PK7PH7OE9MC9M99L69K29K17O06R04V04Y02a0\
  <3>0n00r00u00y0<3>0z01z69zCHxHIsK<2>MgOOcPP_S<3>VIY\
  <2>FRP9UM2WK0_H0OA0C6011MPS<2>MP`MPcMPdLReLSg
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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

From: Marty Krikorian <[e-mail]>
Subject: (fractint) Video Disk modes II
Date: 31 Aug 2000 07:36:31 -0700

Thanks to all who made suggestions.  My alterations to the .cfg file were
somehow not working when I tried to change the size of a image that had
already been finished.  Somehow, the program would 'finish' and the file
would still be at the original size.

ANYWAY - patch 15 seems to have solved the problem.  I am now getting what
I was asking for, which evidently was image files so large that I can't
open them....

Marty K.



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

From: [e-mail]
Subject: (fractint) Contest Update
Date: 31 Aug 2000 17:50:56 -0600

Good evening folks,

I know most of you are wondering what has happened to the contest site.
I don't blame you. I know I've missed several promised delivery dates.
I'm sorry about that, and I think you all deserve an explanation.

You all know that my intention was to have the web site itself handle as
much of the "grunt work" of handling contest entries as possible. That
was mainly in reaction to last year's contest, which was so huge that it
took a large investment of time to marshall all the entries for the
voting display. I knew that having written the script for the UF formula
database, I could cannibalize a lot of it and it would simplify building
the contest entry system.

Well, it DID simplify it, but it turns out my new job has ramped up an
enormous project and its due date is right now. I took this job last
October because I wanted more time to deal with hobbies. For the most
part I did get that--and I certainly got the financial means to enjoy my
hobbies more--but for right now, this one project has consumed almost
all of my time. I never expected to be working 18-hour days, but that's
what has happened. I would love to be able to retire early and spend my
full time on fractal-related things... but I can't do that [yet].

In my spare hours for the past few weeks I've been trying to get the
contest scripting wrapped up. I am literally nearly finished; I have one
more template to create, and I am testing as much as I can. The
translation volunteers can attest that they haven't seen any files to
translate yet, and that's because I've been focused on getting the entry
stuff done.

I am sorry it has taken so long, and I would like to hear thoughts on
pushing the entry deadline back another week. Does everyone have their
entries ready, and is just waiting for the entry form? Or what?

One more template to go, and about fifteen minutes before the CEO gets
back from dinner. I think I can, I think I can...

--Damien

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

From: [e-mail]
Subject: Re: (fractint) Contest Update
Date: 31 Aug 2000 20:08:30 EDT

In a message dated 00-08-31 19:53:24 EDT, you write:

<< I am sorry it has taken so long, and I would like to hear thoughts on
 pushing the entry deadline back another week >>

I'm all for extending the entry deadline. For as long a time as you need to
deal with the real world "ramp-up", which I'm sure everyone understands.
     I'm *never* ready to send entries for these things, lol! There's always
one more thing I want to try in hopes of finding something more
interesting/"ahhhhh-inspiring".
~ren


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

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 01-09-00  (Alien landscape [7])
Date: 01 Sep 2000 00:51:25 -0400 (EDT)


FOTD -- September 01, 2000 (Rating 7)

Fractal visionaries and enthusiasts:

I love alien landscapes -- illustrations of imaginary scenes
that one might see from the surface of an alien planet.  And
curiously enough, some single-layer fractals make quite
convincing alien planet scenes.

Take today's FOTD picture.  It requires little imagination to
see the surface of an alien planet, strewn with spear-like
objects, created perhaps by volcanic activity in some past
epoch.  The sharply-pointed features fade quite convincingly to
a gently rolling horizon, under a slightly hazy dark blue-violet
sky.

Since the sky on this fractal planet is so dark, the atmosphere
must be quite thin, making distant things appear closer than
they actually are.  The barely visible layers of dust floating
in the thin atmosphere reveal that recent windstorms have raked
the planet's surface.  All in all it's not a very inviting place
to live, though I wouldn't mind visiting for a few days if the
spacefare were not too outrageously high.

The picture is a scene in the Julibrot of the Z^1.5+C formula,
calculated very near but not quite in the Julia orientation.  I
named the picture "Alien Landscape" as a description, and rated
it a 7 because I enjoy alien landscapes.

The parameter file renders in almost exactly 3 minutes on my
200mhz Pentium.  Since going to the internet sites and picking
up the download takes about the same time, it's up to the viewer
to choose the route to the image.  For those who choose to visit
Usenet, the group is:

          <alt.binaries.pictures.fractals>

For those who choose the Web, the URL is:

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

The fractal weather today was mostly cloudy with continuing
showers.  The near perfect temperature of 83F (28C) was spoiled
by the wet grass, forcing the cats to remain indoors and sulk.

My big philosophical article made little progress today, though
I did post a rather philosophical reply to a remark on the
philofractal list this afternoon.  The chances are high however
that I'll have the longer article ready by post time tomorrow.
The only way to know for sure is to check back then.

Until next time, take care, and a sulking cat can always be
cheered by a dish of his favorite food.


Jim Muth
[e-mail]


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

Alien_Landscape    { ; time=0:02:58:88 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 15
  reset=2000 type=formula formulafile=julibrot.frm
  formulaname=SliceJB-new passes=t
  center-mag=+0.035268348154282/+0.1503441749572727/22\
  8.1255/1/10 params=0.499661/0.499125/0.497633/0.5018\
  65/1.5/0/-0.188/0/0.2392/0.4909 float=y maxiter=1500
  bailout=25 inside=0 logmap=23 periodicity=10
  colors=000FAKFDNFAK<3>FBLFCLFCMFDN<3>FERFFSFHRFHSFIS\
  FISFJTGJUHLUILUJMV2NV2MV2MV2NX<3>2OY2OY2QY<3>2RZ2R_2\
  R_2S_2S_2Sa2Ua<3>2Vb2Vb2Xc<2>2Xc3Ue4Sf4Rg6Qg7Oi7Nj8M\
  kAKkAJmBHnBFoDEoEDqEBrFAsH8sH7uI6vI3wJ2wK0yK0zM0z<2>\
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  30<3>B40D60<3>D70D80D80D80DA0DA0DB2DB3DB4DD6DD6<2>DE\
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  eZae_ae_aeabe<2>cbecbeeceecefcegcegeeiee<2>jeekfemfe\
  <3>ogeogeqgergeriesiesieuieuiermYqqRnuKmyEjz7iz0jz2j\
  z2ky2kw2mu2mr2nq2nn2ok3oi3qg3qe3qb3ra3rZ3sX3sU3uS4uQ\
  4vN4vM4wJ4wH4wE4yD4yA4z76z66z36z06<4>z06
  }

frm:SliceJB-new {; from John R. H. Goering, July 1999
  pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1),
  b=pi*imag(p1), g=pi*real(p2), d=pi*imag(p2), ca=cos(a),
  cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d),
  sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg,
  s=v*sin(a), c=p+flip(q)+(p4), z=r+flip(s)+(p5):
  z=z^(p3)+c
  |z|<=9
  }

END 20.0 PAR-FORMULA FILE==================================


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