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fractint-digest        Monday, August 27 2001        Volume 01 : Number 589




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

Date: Sun, 19 Aug 2001 19:30:16 +0000
From: "Andrew Coppin" <[e-mail]>
Subject: Re: (fractint) OT: Sterograms

I'm talking about the magic eye images you can make in FractInt by pressing
Alt+S. Obviously *someone* around here must know how the algorithm works...

Thanks.
Andrew.

>From: "Paul N. Lee" <[e-mail]>
>Reply-To: [e-mail]
>To: [e-mail]
>Subject: Re: (fractint) OT: Sterograms
>Date: Fri, 17 Aug 2001 12:09:23 -0500
>
>Andrew Coppin wrote:
> >
> > I know it's a tad off topic but... does
> > anyone here have an algorithm for
> > drawing sterograms (magic eye pictures)?
> > Any help?
> >
>
>Are you talking about having two, basically the same, images shifted
>slightly apart from each other (10-15 pixels), but one overlaying the
>other.  With one version in blue and the other version in red (for use
>with the old 3-D glasses)??
>
>Or where two completely whole images are side by side but the viewpoint
>has been slightly shifted between the two, as to account for the
>perspective of each eyeball??
>
>P.N.L.
>--------------------------------------------------------------
>http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go
>
>--------------------------------------------------------------
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------------------------------

Date: Mon, 20 Aug 2001 09:18:39 +1200
From: <[e-mail]>
Subject: Re: (fractint) OT: Sterograms

This is a multi-part message in MIME format.

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Andrew Coppin <[e-mail]> said:

> I'm talking about the magic eye images you can make in FractInt by pressing
> Alt+S. Obviously *someone* around here must know how the algorithm works...
>
You might like to check out
http://www.cs.waikato.ac.nz/~singlis/sirds.html

All we need know is a stereogram containing a Julibrot...

Morgan L. Owens
"ASCII-art stereograms! I'll never see everything at this rate..."


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bnRlbnQtVHJhbnNmZXItRW5jb2Rpbmc6IGJpbmFyeQ0KDQo=


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

Date: Mon, 20 Aug 2001 09:50:50 +0000
From: "Andrew Coppin" <[e-mail]>
Subject: Re: (fractint) OT: Sterograms

Oh WOW! How on earth is this possible?!?! ASCII sterograms... AND they WORK!
Nice one!

>From: <[e-mail]>
>Reply-To: [e-mail]
>To: [e-mail]
>Subject: Re: (fractint) OT: Sterograms
>Date: Mon, 20 Aug 2001 09:18:39 +1200
>
>Andrew Coppin <[e-mail]> said:
>
> > I'm talking about the magic eye images you can make in FractInt by
>pressing
> > Alt+S. Obviously *someone* around here must know how the algorithm
>works...
> >
>You might like to check out
>http://www.cs.waikato.ac.nz/~singlis/sirds.html
>
>All we need know is a stereogram containing a Julibrot...
>
>Morgan L. Owens
>"ASCII-art stereograms! I'll never see everything at this rate..."
>
><< attach3.bin >>


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

Date: Mon, 20 Aug 2001 10:33:51 EDT
From: [e-mail]
Subject: (fractint) C-FOTD  20-08-01  (Iteration Bands [6])

Classic FOTD -- August 20, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

The equal-iteration bands that appear in nearly every FOTD image
are sometimes seen as an undesirable result of the 256-color GIF
palette.  At other times, the bands make the picture.  Today's
image is one of the best examples of a picture made by its bands.

I named the image "Iteration Bands" as a simple description.
Then I rated it at a 6.  The iterated formula takes the tiny
difference between Z^(-1.49) and Z^(-1.51), and multiplies it by
a factor of 200, resulting in a parent fractal that extends
beyond the default screen, but is worth an outzoom to bring it
into view.

The image renders from the parameter file in a little under
7 minutes on my tired machine.  It downloads in less than half
the time from:

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

or from:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

But before going for the download, give Paul and Scott a chance
to post the image.

The fractal weather today (Sunday) here at F.C. featured heavy
clouds with rain and thunder.  The cats accepted the temperature
of 81F 27C with barely a shrug, but disapproved strongly of the
rain and thunder, letting me know it by making themselves quite
obvious around Fractal Central.

Something (like the clock on the wall) now tells me that it's
time to tackle the things that need to be done.  So while I'm
occupied with other things, take care, and see you in 24 hours.


Jim Muth
[e-mail]


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

Iteration_Bands    { ; time=0:06:33.60--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
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  zcczcczcczcczcczcczcczccz
  }

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

Date: Tue, 21 Aug 2001 10:43:13 EDT
From: [e-mail]
Subject: (fractint) C-FOTD  21-08-01  (A Nameless Fractal [6])

Classic FOTD -- August 21, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

Try as I did, I could not think of a name for today's image.
But that created no problem, as I simply named the image "A
Nameless Fractal".  I'll let the mathematically over-educated
ponder whether today's FOTD actually has a name.

Name or no name, today's image is busy.  It has more colors than
a galaxy has stars.  In fact, it has too many colors -- a
redundancy that drops it from a rating of 7 to one of a 6.  But
it's still a fun image to look at, and well worth the 16 minutes
required to run the parameter file or the small effort required
to go online and download the GIF image from:

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

or:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

Before going for the GIF image, give Paul and Scott a chance to
render and post it.

The formula that did the deed is Z^4+2Z^3+C, an apparently
simple formula that creates a surprisingly complex fractal.  In
the vicinity of today's image can be found quadratic midgets,
cubic midgets, quartic midgets, quintic midgets and hexic
midgets (if that's what Z^6 midgets are called).  There are also
midgets of fantastic shape, which combine the features of
midgets of several degrees.  The most obvious appearance of
these odd-order midgets in today's image is near the left edge,
about 1/3 down from the top edge, where a cubic midget lies.
But do not try to resolve the cubic midget.  It lies beyond
resolution.

The mystery of the day's weather however can always be resolved
- -- that is if one waits until the next day.  On Monday, partly
cloudy skies and a temperature of 86F 30C made things here at
Fractal Central perfect for cats.  It was so perfect in fact
that I had a hard time cajoling them to return indoors when the
time came.

Once again the time has come to get busy.  The work is waiting
and it's 10:30am.  So until next FOTD, take care, and enjoy the
fractals.


Jim Muth
[e-mail]


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

A_Nameless_Fractal { ; time=0:16:14.98--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-0.41562595889429820/-0.000000209527199\
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  }

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

Date: Tue, 21 Aug 2001 23:17:54 -0400
From: "Multiple Bogeys" <[e-mail]>
Subject: Re: (fractint) C-FOTD 21-08-01 (A Nameless Fractal [6])

- ------=_NextPart_001_0000_01C12A97.81FC2BE0
Content-Type: text/plain; charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

> Name or no name, today's image is busy.  It has more colors than
> a galaxy has stars...go online and download the GIF image...

The astrophysics professor at my university would be fascinated to learn =
that there are fewer than 256 stars in a galaxy. :-)<br clear=3Dall><hr>G=
et your FREE download of MSN Explorer at <a href=3D'http://go.msn.com/bql=
/hmtag_itl_EN.asp'>http://explorer.msn.com</a><br>

- ------=_NextPart_001_0000_01C12A97.81FC2BE0
Content-Type: text/html; charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

<HTML><BODY STYLE=3D"font:10pt verdana; border:none;"><DIV>> Name or n=
o name, today's image is busy.  It has more colors than<BR>> a ga=
laxy has stars...go online and download the GIF image...</DIV> <DIV> =
;</DIV> <DIV>The astrophysics professor at my university would be fascina=
ted to learn that there are fewer than 256 stars in a galaxy. :-)</DIV> <=
DIV></DIV></BODY></HTML><DIV><BR><br clear=3Dall><hr>Get your FREE downlo=
ad of MSN Explorer at <a href=3D'http://go.msn.com/bql/hmtag_itl_EN.asp'>=
http://explorer.msn.com</a><br></DIV>

- ------=_NextPart_001_0000_01C12A97.81FC2BE0--

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

Date: Wed, 22 Aug 2001 07:33:10 EDT
From: [e-mail]
Subject: (fractint) Re: C-FOTD 21-08-01

I wrote:

>>Name or no name, today's image is busy.  It has more colors than
>>a galaxy has stars...go online and download the GIF image...

Multiple Bogeys replied:

>The astrophysics professor at my university would be fascinated to learn
>that there are fewer than 256 stars in a galaxy. :-)

So I exaggerated the number of colors a bit.  But it's still a very colorful
image.

Jim M.


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

Date: Wed, 22 Aug 2001 10:15:04 EDT
From: [e-mail]
Subject: (fractint) C-FOTD  22-08-01  (Ancient Speculum [6])

Classic FOTD -- August 22, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

A speculum is a polished metal surface that reflects light like
a mirror.  In fact, our present-day mirrors consist of nothing
more than a thin reflective metallic coating applied to the rear
surface of a sheet of glass.  The glass does little reflecting.
Its purpose is to hold the metallic reflecting surface flat, so
that the reflected image is undistorted.

In the ancient world, the mirrors consisted of bare sheets of
reflecting metal, without the glass, which most likely were not
perfectly flat, and therefore were prone to distortion.  The
subtly-tinted, silvery areas of today's image remind me of the
distorted reflection from a curved sheet of metal, such as might
have been seen in one of those ancient metal mirrors on one of
its bad days.  This resemblance inspired the name "Ancient
Speculum".

The image was rendered with the outside set to the <fmod>
option, an option with much potential, which deserves to be used
more often.  I chose this option when the normal equal-iteration
bands failed to bring out what in my opinion was the full
potential of the scene.  When all was finished, I studied the
image a few minutes, and rated it a 6.

The image was created by the formula 2(Z^3)+0.8(Z^6)+C.  This
formula is another of those in which the whole is equal to more
than the sum of its parts.  An infinity of lifetimes could be
spent exploring the infinite depths of this one fractal, but
there are an infinity of fractals to explore and I have less
than an infinity of lifetimes in which to explore them, so
tomorrow we'll be investigating a new fractal.

The 5-1/2 minute render time from the parameter file of today's
image is within reason.  A download of the finished GIF image
will be even faster.  That download will soon be available at:

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

and at:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today was of the routine summer variety,
with lots of sun and a comfortable temperature of 84F 29C.  The
cats showed approval by staying out of trouble.

It's now time to start the day's work, so until the next FOTD,
take care, and think deep thoughts.


Jim Muth
[e-mail]


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

Ancient_Speculum   { ; time=0:05:26.58--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.28797582848267940/-0.002364809300565\
  71/7698498/1/-109.999 params=2/3/0.8/6/0/0 float=y
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  }

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

Date: Thu, 23 Aug 2001 10:22:17 EDT
From: [e-mail]
Subject: (fractint) C-FOTD  23-08-01  (Totally Illegal [8])

Classic FOTD -- August 23, 2001 (Rating 8)

Fractal visionaries and enthusiasts:

Despite the sound of its name, today's image was not named
because it resembles a very sick bird; it was named because it
breaks the law.  Certain rules exist in the world of fractals
that cannot be broken.  Well, today's fractal breaks a major
rule, which makes it "Totally Illegal".  And this is why it got
its name.  Considering the image's hasty coloring, the rating of
8 is high, but the rating is based not only on the artistic
worth, but on the mathematical interest as well.

What rule does the image break?  It looks harmless enough.  On
the surface, it resembles nothing more than a large raspberry
surrounded by smaller raspberries still on their stems.  To find
the crime we must look at the generating formula, which
subtracts 0.425 parts of Z^4.5 from Z^3.5.  These exponents are
fractional, and because of the many-valued nature of the complex
log function, fractional exponents must always draw fractals
filled with discontinuities -- branch cuts as I now call them.

Today's image however contains no visible branch cuts.  It has
therefore broken the law by doing something totally illegal.  I
have not yet checked to see whether the breaks exist at a deeper
level, but I soon will.  I suspect that the breaks are there,
even while hoping that they are not.  Regardless, the
surrounding area holds many interesting midgets, some of which
will surely be making their appearance as FOTD's in the days to
come.

A benefit of the shallow location of today's scene is the speed
with which the image renders.  Even on my tired old fractal
computer, the image finishes in a matter of seconds.  I have
used the passes=b algorithm because not only is it the fastest,
it is also the most fun to see in operation.  And it draws the
image with no loss of detail.

Those who prefer not to render the image from the parameter file
can still find it posted on the internet at the web sites:

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

and:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The weather today here at fractal central turned out to be
another normal summer day with mostly sunny skies and a
temperature of 87F 30.5C.  The fractal cats enjoyed the weather,
but got into a tussle when both wanted the same porch chair,
which left them sulking at each other for over an hour.

I'm sulking a bit because I've failed once again to find time to
write that great philosophy of mine.  But tomorrow is another
FOTD, and I'll have more time before then to think and write.
So check in 24 hours and see what happens.  Until then, take
care, and one person's great wisdom is another's foolish prattle.


Jim Muth
[e-mail]


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

Totally_Illegal    { ; time=0:00:51.90--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=b
  center-mag=+0.53136563368005390/0/149296.2
  params=1/3.5/-0.425/4.5/0/0 float=y maxiter=400
  inside=255 logmap=40 symmetry=xaxis
  colors=0008Ac9Ac9AeAAgABiBCkBDmAEnAEoAFpAFqAFr9Gs9\
  Gt9Hu9Hv9HwCLsEPpHTlJWiMaeOjbRrZTwWmzSszP_zMZqMYmM\
  YiMXeMXaMWXMWSMVOMVKMUHMUGMWIOXMQYPSZTU_WV`_XabZbf\
  `ciaagc_fdYeeWdfUbhSaiQ`jO_kNYlNWmNVnNToNRpMQqMOrM\
  MsMLtMJuLHvLGwLExLCyLBzMEyNHxOJwPMwQOvRRuSTtTWtUZs\
  V`rWcqXeqYhpZjo_mn`on_rr_tvaqpbojdldejZggTheNabRV`\
  UPZXMTQJNKGHDDB7A61DCAFIIHORKUZM_gOeoQdlSciUcfWbdY\
  ba_aZaaWc`Ue_Rg_OiZLkZJmYGoYDqXAsX8pY9mY9jZAgZAd_B\
  b_B_`CX`CU`CRaDPaDMbEJbEGcFDcFBcFCcCCcAEdEGeIIfMJg\
  PLhTNiXOj_OebOcdOcgOciOclOcnOcqOcsRcqTcpVcnXcmZck`\
  cjbchdcgfgfdhgcigbjgajg`kgZlhYmhXmhWnhVohUohVlhWih\
  WfhXchYch`chcchfchichlchochrchuchucgucgtcgtcftcfsc\
  fscercercerddqgdqjdqldphbpeapb`o__oYZo_XnaWncVneUm\
  gTmiRmkQlmPloOlqNksOjuPiwQhyRgzSfzTezUdzVczWbzXazY\
  `zZ`zZXzcSzhOzmKzrGzvMzpRzkWzf`z`ezWjzRozMmzQlzUkz\
  Yjzaizehzigzm7zU7zX8zZ000
  }

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

Date: Fri, 24 Aug 2001 06:49:10 GMT
From: [e-mail]
Subject: Re: (fractint) OT: Sterograms

On Mon, 20 Aug 2001 09:50:50 +0000, "Andrew Coppin"
<[e-mail]> wrote:

>Oh WOW! How on earth is this possible?!?! ASCII sterograms... AND they =
WORK!=20
>Nice one!

Sadly I never figured out how to see it. Agent said I had an encoding
error when I tried to save it and didn't know how to launch an
octet-stream when I tried to launch it.=20


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Date: Fri, 24 Aug 2001 02:11:10 -0500
From: "Paul N. Lee" <[e-mail]>
Subject: Re: (fractint) OT: Sterograms

Elaina "Juice" B. T. wrote:
>
> Agent said I had an encoding error when
> I tried to save it and didn't know how
> to launch an octet-stream when I tried
> to launch it.
>

The "octet-stream" is a generic Content-Type, as opposed to the
different sub-types (e.g., application/postscript,
application/x-macbinary, and application-msword), which apply to
specific kinds of files.  These are usually from binary file attachments
in the MIME standard (Multi-purpose Internet Mail Extensions).
Typically, it will be either an application, or a document which must be
opened in an application (such as a spreadsheet or word processor).  If
the attachment has a filename extension associated with it, one is
usually able to tell what kind of file it is (such as a JPEG format).

No matter what kind of file it is, an application/octet-stream
attachment is rarely viewable in an e-mail, Usenet, or World Wide Web
program.  Using an email client, such as Eudora or Outlook, the
application should be able to extract and download the attachment
automatically.  You must then open the attachment in the appropriate
application to view its contents.

But in the case of Morgan L. Owens' posting, I do not believe the
attachment was anything worth troubling over.  It was the Link in the
email message that directed one to the actual ASCII-art stereograms:

      http://www.cs.waikato.ac.nz/~singlis/sirds.html

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

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Date: Fri, 24 Aug 2001 19:48:01 +1200
From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) OT: Sterograms

At 02:11 24/08/2001 -0500, Paul N. Lee wrote:

>But in the case of Morgan L. Owens' posting, I do not believe the
>attachment was anything worth troubling over.  It was the Link in the
>email message that directed one to the actual ASCII-art stereograms:
>
>       http://www.cs.waikato.ac.nz/~singlis/sirds.html

That was indeed my intention. I haven't the faintest idea where the
attachment came from - for some reason Twig just decided to go SQUARF! at
that point or something; I wasn't posting from my usual location.

Morgan L. Owens
"= what?"




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Date: Fri, 24 Aug 2001 11:06:58 EDT
From: [e-mail]
Subject: (fractint) C-FOTD  24-08-01  (Also Illegal [8])

Classic FOTD -- August 24, 2001 (Rating 8)

Fractal visionaries and enthusiasts:

Due to an unexpected rush of non-fractal work, I have little
time to write the fractal discussion.  So I'll have to let the
image speak for itself.

Today's image is actually a zoom into yesterday's "Totally
Illegal" image.  Like yesterday's image, it lacks the
discontinuities that would be expected in a fractal created by a
combination of Z^3.5 and Z^4.5.

Since it is the second consecutive illegal image, I have named
it "Also Illegal".  Since I gave the coloring considerably more
attention than the first "Illegal" image, I have rated today's
image another 8.

The parameter file renders in 5 minute.  In an hour or so, the
rendered image will be available for download at:

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

and at:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today was more normal summer stuff, with
several threats of rain but none actually falling.  The
temperature of 84F 29C made the cats happy.

It's now time to tackle that load of work that waits.  Until
tomorrow, take care, and keep fractalling.


Jim Muth
[e-mail]


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

Also_Illegal       { ; time=0:05:09.23--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=mandelbrotmix4 function=ident passes=b
  center-mag=+0.53136285893222390/0/2.291594e+012/1
  params=1/3.5/-0.425/4.5/0/0 float=y maxiter=1700
  inside=255 logmap=288 symmetry=xaxis
  colors=000C7PD7UD8SD9WDA`ECcEDeEEgEGj9Hl5Io0Hk0Je0\
  N_0LU6PNATOGVPKYQP_RUaT_dUdfVhhWmkYrmZwm_zAuzDpzEl\
  zHhzIdzK`zLYzOTzPPzRLzTHyVDyZ9ya5zg1zj0zm0zq0rk6of\
  CkgIghOdjU`k_YleUmkQmqQegQYZQPPQHGK96Q20Z79fCNoH_w\
  KkzJlzImzIozHpzHqxGrpGskEmdDlaDc_CVoCyvAzxAzz9zz9z\
  kDuVGlGIeTQfdZg_`aVhY`mVguTsxRxyPzzOzzLkwKlxIoxHqx\
  EsyDvyAxz9zz7zz6uvCoqIhlOagUWd_Q_eJVkDQq7Nv9OrAPpD\
  PmEQkGQhIRfJTdLT`NUZOUWQVURWRUWPVYNWYKWRKTNKRIKPEK\
  ODKQGNTKPVORYTU_WVa`Ycd_dhaelccje`hfZggWfhUdkRclPa\
  mN`oLZpD70C30A00D51G92ID3KI5NL6OQ7QV8TZ9VcAYfC_kD`\
  oEYjIUfLQaONZRKUUHQYDL_9Ic7EeACgEAjH8kK7mO5oQ3qU1r\
  Y0u_0vc0xe0yf1wf6ufAsgGqgKpgPmhVlh_jhdhjhfjmejrcjw\
  alvZmuWosTprQqqNrqKspIuoEvmCwl8xk6yk3ceUIerNeoQekU\
  ehYee`ecde_geWkeUoeQreOveKyeIueHpfGkgEghDcjCZkCUlA\
  Qo9Lp8Hq7Cs68v6AxADzGGzK7zv9zuCzsHzpIzoKzmNzlzzAzz\
  9rzAgzCWzDLzEAzGCzECzD000
  }

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

Date: Sat, 25 Aug 2001 10:41:55 EDT
From: [e-mail]
Subject: (fractint) C-FOTD  25-08-01  (Fractal Fairyland [7])

Classic FOTD -- August 25, 2001 (Rating 7)

Fractal visionaries and enthusiasts:

Another too-busy day brings another shortened discussion.

Today's incredibly intricate image reminds me of many things.
Sometimes I see a fantastic forest, or a flower garden in
twilight.  But most of all I see a place where fairies play -- a
"Fractal Fairyland".

The generating formula mixes portions of Z^(-1.45) and
Z^(-14.5).  The escape radius, which is in the astronomical
range, has evaporated the fractal, leaving an image composed of
only trapped points, which with the inside set to the normal
color=0, appears as a blank black screen.  The inside fill of
bof61 takes this blank screen and brings it to life, resulting
in today's FOTD.

Lacking the time to do a top-notch coloring job, I could rate
the image only at a 7 -- a rating that is still above average.
Optimal colors could raise the rating to 8.  With a render time
in the 5-minute range, the parameter file borders on the
sluggish.  A download of the GIF image from:

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

or:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

will be far less sluggish.  But before going for the download,
wait long enough for the image to be rendered and posted.

The fractal weather today was perfect for this time of year,
with mostly sunny skies and a temperature of 86F 30C.  The cats
enjoyed the perfection, though things are beginning to get a bit
dry here at Fractal Central.

With so much work to do, I had no time to philosophize.  I can
only offer my deepest apologies to those disappointed members of
the philofractal list who are waiting eagerly for the next
outburst of fractal wisdom.

Today will once again be busy, but I'll try to have a bit of
the wisdom ready by tomorrow.  Check then to see whether I make
it.  Regardless, I'll have another FOTD ready within 24 hours or
less.  Until my next appearance, take care, and who knows what
fractals lurk in the depths of fractal-land?


Jim Muth
[e-mail]


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

Fractal_Fairyland  { ; time=0:04:51.93--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+1.59746173820668700/-0.777078082651533\
  70/7.023296e+008/1/12.499 params=3.5/-1.45/0.5/-14\
  .5/0/1e+130 float=y maxiter=1200 inside=bof61
  colors=000dOmmEwdCkkAgr8by7Yz4Tz2Pz0Myg0ez0Xz7Oz`E\
  zzIzwMztPwpTnnXdkYVgbKd000i0Ym0Vn0Tk0Oi0Kg0Ed8AbG4\
  `M0YT0V`0Te0Rm0Pr0Kt0Gt8CtO8tb4tnbzGzz0zz0000pnEkd\
  PeV``KkVAvP0zM0zI00V08eAGpKOzVVzebznizdkvTmgInV7pI\
  0r80b02O0480000700700702704A04E04G07K77MC7PI8TO8VT\
  8YY8`dRbkgdryqyzezzjzzbwt_tnYpgTm`ViTTeORbGPY8OV2M\
  RMMYdMetMkrO7tEbK8iT7pb7vk4z00dTv0gVV2I0IE7VARg7m0\
  7zP4zPv0`dOkMkVzzgbzCz7ykGtG4tCMtAbt7r0000`zXApMR0\
  YKMiCi20zV2z7yPXXkEzp0zdRYr70bK0kX0ri0yPz0eYv00P00\
  Eb2Rz7bzXvzvzyyz`zmAzY0zK2pXvRwM`idKvGTz`Gzz4iz4pz\
  4vy4zibRmRepGtIP0MrbVekdTrmGyzz0zzKwYiR0dyM0z00zrm\
  yTwTe`gOpznzzbzzRzwGztt0z0Yz0gz0py0ykOzzznIwzTizbX\
  zkIzzz8z4tw4yv4z00tPz0Yv7edRmMmdMEYR`iGpXpIe``mKp0\
  zzzRzzGz0V07OEOIXdAn000M0Y0AzA8zY7zm0Cn0Rp0er0tE40\
  T4Mg4iz0zz0zz0zw0zw0yv0zt0zzz0Ci`OYiYPpiEyz0zz0zy0\
  zv2zTm0bYIkKgv00t0At0dVYb
  }

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

Date: Sun, 26 Aug 2001 10:05:40 EDT
From: [e-mail]
Subject: (fractint) C-FOTD  26-08-01  (Deep in Seahorse valley [7])

Classic FOTD -- August 26, 2001 (Rating 7)

Fractal visionaries and enthusiasts:

After all these years of exploring as many odd fractals as I
could conjure up, I still consider the Mandelbrot set to be the
best fractal of all and Seahorse Valley to be the best area of
the Mandelbrot set.  What could be more natural then, when one
has little time to search, than to go to the best area of the
best fractal.

I found today's midget automatically.  No blind searching was
necessary, as it usually is when I am exploring the fractals
created by the MandelbrotMix4 formula.  I knew before reaching
the spot that a midget would be there, though I had only a vague
idea of its appearance.  The midget I found is today's FOTD.

Actually, I spent more time coloring the image than finding it.
The colors were broken to emphasize the rings surrounding the
midget.  Since it is only another Mandelbrot midget, the image
would normally rate a 5, but I feel that the coloring raises it
to a marginal 7.  The name "Deep in Seahorse Valley" tells the
location of the scene.

The scene lies well into the range where arbitrary precision
math becomes necessary, so it is a slow one, rendering from the
parameter file in an unlikely exact 26 minutes.  But it is no
slower than some of the images I create with the M-Mix4 formula.
Those with computer time to spare will view the scene by
rendering it from the attached parameter file.  Those with other
things to do will download the image from one of the two
following web sites:

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

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

But in the download case, the drawback is that the viewer must
wait until Paul and Scott have had a chance to render and post
the image.

The fractal weather today was once again of the normal summer
variety, though if no rain falls within a few days, I'll have to
set up the fractal lawn sprinkler.  The fractal cats enjoyed the
temperature of 84F (29C).

I must once again apologize to the philosophy fans, who have
waited so patiently for the philosophy, only to be disappointed
again and again.  But I assure you that I have much to say.  I
lack only the time in which to say it.

It's now time to turn to other tasks.  I'll return however in 24
hours regardless of what may happen.  (Except the end of the
world)  Until then, take care, and raise the Hamiltonian.


Jim Muth
[e-mail]


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

DeepInSeahorseValy { ; time=0:26:00.00--SF5 on a P200
  reset=2001 type=mandel passes=b center-mag=-0.7678\
  00719424891301165867/0.117210521723807426016338/1.\
  011233e+019/1/28.587/-0.114 params=0/0 float=y
  maxiter=2700 inside=255 logmap=447
  colors=000LHuKKvKNvJQvJSwJVwIYwI`xIbxHexHhyGkyGmyG\
  pzFszFvzFxzczzQ8QSEUUKXWQ`XVcZXe`YfaZgc`heaifbjhck\
  jelkfmmgnoiopjprkqrjrngqicpd_o_WnVSmQOlMKkIKcFKXCK\
  P9KI6KB9LBBLBELBGMBJMBLMBONBQNBSNBUMCVMDXLEYLE_KF`\
  KGbJGhzUewIAwIAtJAqKAnKEkdGhbIeaKb_M_ZNXXPUWRRVTOT\
  VLSVIQWFPXCNY9MY6LW9JUCIUFHUHGUKFUNEUQDUSBUVATY9S`\
  8Rc7Qg6Pk5Pn4Op6Oq7Os8Ot9OvAOwBOzCOzUSzcWzm_zwczzg\
  zzkrsorzdrvVrsLmpQhmUcjZZgcUehPbmK_rFXw0Ux5UxAPxFG\
  wJ7uOBsSFqWIo_MmdQkhTimXgo_eo7cpCapHWqLVqQUrPSrOQs\
  MOsLMrKKqJIpIGnHHlIHjIIhJIdJJ`KJXKKTLKPLLLMLHMLDMN\
  FOOHPPJRRLSSNUTPVVRXWTYXV_ZX`_Zb``cbbecdfdegeghfii\
  gkihmjhnkipkjrAktApqApq7qrAqrCqsEqsGrtJrtLrtNruPsu\
  SsvUsvWsvYpuYmuYjuYhuYeuYbtY_tYYtYVtYStYQsYOqMMoOK\
  mP0kQ3mT6oV9qXCsZFuaIwcLyeNzgQzjTzlWznZzpazsdzugzw\
  izykzvlztnzqozopzlrzjszguzevzbwz`wzHtzKrzMpzOnzRlz\
  TjzVhzXdzo`zpXzrTzsPzt000
  }

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

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

Date: Mon, 27 Aug 2001 08:19:18 +0200
From: Guy Marson <[e-mail]>
Subject: Re: (fractint) C-FOTD  25-08-01  (Fractal Fairyland [7])

At 10:41 25/08/01 EDT, you wrote:
>
>Classic FOTD -- August 25, 2001 (Rating 7)
>
>Fractal visionaries and enthusiasts:
>
>Another too-busy day brings another shortened discussion.
>
>Today's incredibly intricate image reminds me of many things.
>Sometimes I see a fantastic forest, or a flower garden in
>twilight.  But most of all I see a place where fairies play -- a
>"Fractal Fairyland".

ok, so far ..

While playing around with one of the FOTD's I fund a Fractint-bug,
producing a nasty hanger of Fractint ..


boundary-bug       { ; Version 2001 Patchlevel 13
  reset=2001 type=formula formulafile=fractint.frm
  formulaname=mandelbrotmix4 function=recip passes=b
  center-mag=+1.59746173820668700/-0.77707808265153370/7.023296e+008/1/12.\
  498 params=3.5/-1.45/0.5/-14.5/0/1e+130 float=y maxiter=1200
  inside=zmag outside=imag decomp=32
  colors=000dOmmEwdCk<2>y7Yz4Tz2Pz0Myg0ez0Xz7Oz`EzzIzwMztPwpTnnXdkYVgbKd00\
  0i0Ym0Vn0Tk0Oi0Kg0Ed8AbG4`M0YT0V`0Te0Rm0Pr0Kt0Gt8CtO8tb4tnbzGzz0zz0000pn\
  E<3>VAvP0zM0zI00V08<2>zVVzebznizdkvTmgInV7pI0r80b02O0480000700700702704A\
  04E04G07K77MC7PI8TO8VT8YY8`dRbkgdryqyzezzjzzbwt_tnYpgTm`ViTTeORbGPY8OV2M\
  RMMYdMetMkrO7tEbK8iT7pb7vk4z00dTv0gVV2I0IE7VARg7m07zP4zPv0`dOkMkVzzgbzCz\
  7ykGtG4tCMtAbt7r0000`zXApMR0YKMiCi20zV2z7yPXXkEzp0zdRYr70bK0kX0ri0yPz0eY\
  v00P00Eb2Rz7bzXvzvzyyz`zmAzY0zK2pXvRwM`idKvGTz`Gzz4iz4pz4vy4zibRmRepGtIP\
  0MrbVekdTrmGyzz0zzKwYiR0dyM0z00zrmyTwTe`gOpznzzbzzRzwGztt0z0Y<2>y0ykOzzz\
  nIwzTizbXzkIzzz8z4tw4yv4z00tPz0Yv7edRmMmdMEYR`iGpXpIe``mKp0zzzRzzGz0V07O\
  EOIXdAn000M0Y0AzA8zY7zm0C<2>r0tE40T4Mg4iz0zz0zz0zw0zw0yv0zt0zzz0Ci`OYiYP\
  piEyz0zz0zy0zv2zTm0bYIkKgv00t0At0dVYb
  }


cheers,

Guy

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

End of fractint-digest V1 #589
******************************