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fractint-digest       Thursday, August 24 2000       Volume 01 : Number 492




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

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

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

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

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

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

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

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

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

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

Many thanks, Paul.
- ----- Original Message -----
From: Paul N. Lee <[e-mail]>
To: <[e-mail]>
Cc: Ricardo M. Forno <[e-mail]>
Sent: Sunday, August 20, 2000 2:16 PM
Subject: Re: (fractint) lists command for [e-mail]


> 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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------------------------------

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

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\
  0O00O00Q0<3>0Q00T00T00T00T00V00V00V00V00X0<3>0Y00Y00\
  Y00Y00_0<2>0V00T00T0<3>0K00K0<2>0F00D00D00B009007007\
  0050230220300500700700900B00D00D00F00H00H00I00K00K00\
  M00O00O00Q00U00W00X20Y30Z50_50`70a90bB0cB0dD0eF0fH0g\
  H0hJ0iK0kL0mN0nP0nR0<2>rV0tX0tY0v_0x_0xa0zd0ze0ze0zg\
  0zi0zl0zl0zn0zo0zq0zq0zt2zv2zx2zx3zz3zz3zz5zz5zz5zz7\
  zz7zz7zzFztMznTze_<2>zMvzFzz9zz2zz0zz0zz0zx0xv0tn2ng\
  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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------------------------------

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

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

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

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\
  dhofiqgkqhlrkmrlnsmounquorvvrwqsvmuuiusfvsbwrZwqVxoR\
  zo<2>FzmMskRmhYffb_ciQ_gU`fWbcZbb`c`ccZfdZhd`kfcmg<3\
  >mwiozirzkuzmqzkmzhiwgfsdbocZl`Vh_RcYNWWJQUEMS0IQ<2>\
  05K05IzZHxOEKSCRV9YZ8cb5id4oh1vk0zn0zq0ug7hYHWNQJCZ7\
  0i51g<3>5I`5M_5QY5UW5YV5`S5dR5hQ5lN<3>5zH5zF5zE7zJ8z\
  N8zS9zWBz`BzdCziCzmEzrFzvFzzHzz<2>HzzHzzHxzHvzHuzHrz\
  HqzHnzHlzHkzHhzHgzHdzHczSizVlz<4>grziszluz<2>sxzvzzx\
  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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------------------------------

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

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

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

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

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

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

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

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

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

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

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

Date: Thu, 24 Aug 2000 00:57:54 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) Re: FOTD 23-08-00

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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Date: Thu, 24 Aug 2000 21:19:42 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 25-08-00  (The Lead Egg [6?])

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
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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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End of fractint-digest V1 #492
******************************