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fractint-digest        Thursday, July 12 2001        Volume 01 : Number 581




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

Date: Fri, 6 Jul 2001 00:30:12 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) C-FOTD  06-07-01  (Monument to Nothing [7])

Classic FOTD -- July 06, 2001 (Rating 7)

Fractal visionaries and enthusiasts:

When I first saw today's fractal, it reminded me of a wooly
mammoth, one of those hairy, elephant-like animals that roamed
much of the earth until early man hunted them to extinction.
But after further consideration, I decided I was looking at a
roughly carved monument, perhaps a religious idol created and
worshipped by some forgotten tribe of hominids.  When I was
unable to decide what the monument commemorated, I named the
image "Monument to Nothing".

The picture rates an above average 7.  I especially like the way
the foreground features stand out in contrast to the vaguely
patterned purplish background.  Actually, the foreground objects
are on the highest iteration.  Fractals are not always what they
seem.

The expression Z^1.009+C was iterated to produce the image.  The
MandelbrotBC1 formula, which displays remote parts of the
infinite complex-log spiral, assured that this near-linear
expression produced at least a little chaos.

Actually, it produces quite a bit of chaos.  The entire
surrounding area, which lies near the shore of the parent
fractal's lake, resembles nothing as much as a crazy quilt, with
apparently random patterns and textures everywhere.

The image renders in considerably less time than yesterday's
2-hour dawdler, but at almost 27 minutes on a Pentium 200mhz, it
is certainly no quickie.  My advice is to give Paul and Scott a
chance to render and post the image to their Web sites at:

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

and at:

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

and download the GIF image from there.

The fractal weather today featured a temperature of 85F (29.5C)
followed by a tornado scare.  Luckily, the twister fizzled into
just another heavy thunder-storm by the time it arrived at
Fractal Central.  But the crackling lightning and roaring winds
sent the fractal cats scurrying for safety under the bed.  They
are just now getting over their scare.

That's it for today, fractal fans.  The cats have recovered, and
I'll return in 24 hours or so with another fractal with no
quadratic midget.  Until then, take care, and beware of fractals
lurking in dark places.


Jim Muth
[e-mail]


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

MonumentToNothing  { ; time=0:26:47.66--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC1 function=floor passes=1
  center-mag=+0.6528807149373907/+1.259183430170431/\
  286.6663/1/-49.999 params=1.009/0/120/2400 float=y
  maxiter=1800 inside=255 logmap=645 periodicity=10
  colors=000WUzWUzXUzYUz_Uz`UzaUzcUzbUzbUzaUzaUz`Uz`\
  Uz`Uz_Uz_UzZUzZUzYUzYUzYUzaUzdUzgUzjUzmUzpUzsUzxUz\
  vUztUzsUzqUzoUznUzlUzkUziUzgUzfUzdUzcUzaUz_UzZUzXU\
  zWUzUUzSUzRUzPUzFUzKUzOUzSUzWUz_UzcUzgUzkUzqUzpUzo\
  UznUznUzmUzlUzkUzkUzjUziUziUzhUzgUzfUzfUzeUzdUzfUz\
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  zSUzRUzQUzQUzPUzOUzNUzMUzMUzNUzOUzPUzPUzQUzRUzSUzS\
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  gUztUymUxgUwaUvVUuPZtKcsKhrUmqcmpmrompohnnclmZklUi\
  lPgkJejJdiJbhJ`hJZgIYfIWeIUeISdIRcIPbINaILaIK`II_I\
  GZIEZIDYIBXI9WI7WI5WI2VI0VI0VI0UI0UI0TI0TI0SI0SI0R\
  I0RI0QI0QI0PI0PI0OI0OI0NI0NI0MI0MI0LI0LI0KG0KH0KI0\
  KI0KJ0KJ0KK0KK0KL0KM0KL0K
  }

frm:MandelbrotBC1   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(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|<a
}

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


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

Date: Fri, 06 Jul 2001 11:36:13 -0400
From: Gedeon <[e-mail]>
Subject: (fractint) new web site

Due to the termination of NBCi's web space hosting, I closed my extensive
web site at that location. My new site is much smaller, for the time being
only a single page, containing both old and new images. The gfp.ufm formula
file is available for download at the site, but, of course, it is also
available at the Ultrafractal Formula database. I regret, however, that due
to space limitations Morgan Owens' chebyshev formula file will no longer be
available at my site. Janet Preslar generously consented to hosting it at
her Ultrafractal Resources page.

I invite you to visit my new site at the address below, and your comments
are welcome.

Best regards,

Gedeon
- ----------------------------------------------------------------------------
- ------
FRACTALS: http://www.geocities.com/gedeonp/fractals/frindex.html
Established: July 5, 2001
Member Infinite Fractal Loop
PHOTOGRAPHY: http://www.geocities.com/gedeonp/photos/phindex.html
Established: July 5, 2001
- ----------------------------------------------------------------------------
- ------



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

Date: Fri, 6 Jul 2001 21:35:08 EDT
From: [e-mail]
Subject: (fractint) C-FOTD  07-07-01  (Mysterious Darkness [6])

Classic FOTD -- July 07, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

With today's image, the string of FOTD's without benefit of a
quadratic midget, continues unabated.

Today's image was created by number 14 in my series of 14
formulae based on distortions of the Ikenaga function, a
function that must do little other than make fractals, since its
creator has apparently disowned it.

I had a bit of a problem finding a name for today's fractal.
Some of the names that came to mind as I studied the image are
unmentionable.  But after making my mind a blank, (no problem
for me), I finally centered my attention on the fractal elements
converging on the mysterious dark area at top center.  The
darkness appeared most mysterious, inspiring the name
"Mysterious Darkness".

Actually, most of the image consists of 'inside' area, which has
been colored with an inside fill of bof60.  The few outside
areas are colored with the 'real' option, though this makes
little difference in the overall appearance.

I rated the image at only a 6.  The green and purple color
palette is not really very harmonious, though it is rather
attention-getting.  With a better color scheme, the image might
have rated a 7 or 8.

The image renders from the attached parameter file in a little
under 9 minutes on a rusty old Pentium 200mhz machine optimized
for Fractint fractals.  For those who would rather not fuss with
parameter files, the ready-to-view GIF image will soon be
available on the internet at Paul's web site at the URL:

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

and at Scott's site at:

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

The fractal weather today was absolutely perfect, with crystal
blue skies, refreshingly dry atmosphere, gentle winds, and a
temperature of 79F (26C).  The fractal cats relished the
conditions in the shade of the fractal holly tree.

As for me, I'd relish an evening watching a bit of junky TV.
Maybe I'll put on one of my many 'Dark Shadows' tapes to keep
with the dark mood of today's FOTD.  They're always good for a
hoot.  Until next time, take care, and in time of need, a good
fractal may be a life saver.


Jim Muth
[e-mail]


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

MysteriousDarkness { ; time=0:08:43.44--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandNewt14 passes=1 center-mag=6.36546\
  /-1.11022e-016/0.8933869/1.1682/-90
  params=-1.5411/0.5839/4.434/0.6981/-1.545/-5.4089
  float=y maxiter=180 inside=bof60
  outside=real logmap=yes periodicity=0
  colors=000FADDDFAFI8HKDKJHOIKSHOXFS_FXcEZgDbkBfoBj\
  sAnw8rz7uz7szDrwIrsNqqSqmYoiboffnbknZqmXvmSzkOzkMz\
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  rN0mO0gQ0bR0YS0SV0NX0IY0DZ07_0BY0EX0IU0KS0OQ0RO0VM\
  0YK0aI0cH0gE0jD0nA0q8Uc2uR0nO0gN0aM0XK2QI3JH4DF67E\
  7K20X00U00R00O00M23K46I7A
  }

frm:MandNewt14 {; Jim Muth
z=g=pixel, a=real(p1), b=imag(p1), c=real(p2),
d=imag(p2), e=real(p3), f=imag(p3):
h=z^a+(g-1)*(z-b)
j=c*z^d+g
z=z-e*h/(f*j),
0.000000000000000000000000000001 <= |h|
}

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

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

Date: Sun, 8 Jul 2001 10:21:20 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) C-FOTD  08-07-01  (N-D-E [6])

Classic FOTD -- July 08, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

Having posted my FOTD's on the web for several years, my e-mail
addresses are on many mailing lists, and as a result I receive a
lot of unwanted e-mail.  This morning was no exception.  On
opening my e-mail box, I found the expected large number of
'spam' letters.  I usually delete these messages after reading
the first line.  But I was amused this morning by the way every
letter began with an excuse -- a reason why it was not spam.

One letter told me that I had received it because I had 'opted
in', whatever that means.  Two others claimed to be replying to
my previous 'inquiry'.  Another claimed to be from a long-lost
relative.  (Funny that the relative's letter ended with a form,
complete with a space for credit-card number, to fill in if I
wanted to receive the product, which curiously enough was a
program that would let me find long-lost relatives.)  Another
letter, of the highest priority, claimed to contain an urgent
message.  Unfortunately for the seller, I am not desperate to
lose weight just in time for the summer season.  Next, there was
the letter telling me how to get rich quick by telling others
how to get rich quick.  I have never figured out where the
extra money is supposed to come from in these schemes where
everyone gets rich.  Finally, I opened a letter informing me
that I was in imminent danger of losing my soul unless I did as
the well-meaning sender described.

The final letter, about the fate of my soul, inspired the name
for today's FOTD image.  I had been thinking about what to name
the image for almost 1/2 hour when I read the soul-saving
letter.  Since the letter reminded me of an after-death journey
to somewhere, I named the image "N-D-E", which is short for
"Near-Death Experience", an experience that those who have come
close to death sometimes have.  The experience takes many forms.
In one of the most common, the person seems to leave their body
and travel through a tunnel toward a light, frequently meeting
lost loved ones and religious figures at the far end.

Believers feel that the experience is real, that the soul
actually reaches a heaven in these experiences, but is sent back
to earth because the time is not yet right.  Skeptics feel that
the experience is imaginary, a kind of dream produced by the
oxygen-deprived brain.  But both of these views go beyond what
is known for certain, and demand a degree of belief.  Still
searching for the exact meaning of the concepts 'real' and
'imaginary', I am undecided as to the nature of the NDE, and any
connection it might have to a possible 'after'-life.

Well, I see myself wandering from the fractal topic.  Today's
image is one of a midget.  No, it is not a quadratic midget, but
one of the order 1.066.  I found it by breaking out the
JimsCompMand formula, one I have not used in several years.

It may seem hard to believe, but today's midget is what is left
of the midget located at -1.75 on the negative tail of the
classic M-set.  Using the present formula, I kept track of the
midget as I lowered the exponent of Z.  The midget actually
continues below the Z^1.066 of today's image, but the render
time becomes grossly exaggerated as the midget blends into the
very high iteration chaos surrounding the main bay of the parent
fractal.  In a few days, I may present an image of this midget
as it merges into the main bay, but if so, it will be a very
slow image, taking over 12 hours to render.

Even after so much discussion, today's image rates only a 6.
But it's relatively fast and rather pleasant to behold.  And if
running a parameter file is not to your liking, the GIF image
may be found posted to the following two web sites:

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

and

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

But before visiting, give the owners time to render and post the
image.

The fractal weather today (Saturday, July 7) was once again
perfect, with deep blue skies, puffy white clouds, gentle
breezes, dry atmosphere, and a temperature of 84F (29C), which
pleased the fractal cats.

It's now time to have a peaceful Sunday, if possible.  Until
next time, take care, and there's always light at the end of the
tunnel.


Jim Muth
[e-mail]


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

N-D-E              { ; time=0:06:39.36--SF5 on a P200
  reset=2001 type=formula formulafile=jim.frm
  formulaname=JimsCompMand passes=1
  center-mag=-1.123943163353295/+0.1801440422711643/\
  614.4685/1/67.5 params=1.066/0/0.688/0/0/0 float=y
  maxiter=50000 inside=255 logmap=68 periodicity=10
  colors=000DAB4AE5BG6CI6DJ7EL7FM8GO8HQ9IR9JTAKUALWB\
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  iDzkEzlFzmFznGzoGzpIzoKzoMznOznQzmSzmUzlWzlYzk_zka\
  zkczjezjgziizikzhmzhozgqzgszfuzfwzfyzdzzbzzazz_zzZ\
  zzXzzWzzUzzSzzRzzPzzOzzMzzLzzJzzHzzGzzEzzDzzBzzAzz\
  9zz9zz9zz8zz8zz8zz8zz7zz7zz7zz7zz6zz6zz6zz5zz5zz5z\
  z5zz4zz4zz4zz4zz6zz7zz8zz9zzBzzCzzDzzEzzGzzHzzIzzJ\
  zzLzzMzzNzzOzzQzzRzzSzzTzzUzzYzz`zzdzzgzzjzzkzzkzz\
  kzzlzzlzzlzzmzzmzzmzzmzznzznzznzzozzozzozzozzgzz`z\
  zUzzMzzFzz8zz1zz3zz4zz5zz6zz7zz9zzAzzBzzCzzDzzFzzG\
  zzHzzIzzJzzKzzLzzMzzNzzNzzOzzPzzPzzQzzRzzRzzRzzRzz\
  RzzRzzRzzRzzSzzSzz1zz5zzz
  }

frm:JimsCompMand {; Jim Muth
z=c=pixel:
z=z^p1*(c^p2)+c,
|z| <= p3+100
}

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


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

Date: Mon, 9 Jul 2001 08:21:02 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) C-FOTD  09-07-01  (The Grand Arch [6])

Classic FOTD -- July 09, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

My only spam message this morning arrived with the subject
"You've won!"  The message informed me that I had won the first
round of a contest and was now eligible to claim my entry.
Nuts!  What a let-down!  I thought I would be eligible to claim
my prize, but discovered that I am eligible only to enter some
stupid contest, and that I must actually pay for the privilege
of entering.  I wonder how many 'contestants' fail to win the
first round of this 'contest'.  I eased my disappointment by
turning to the world of fractals.

Today's image features the work of another long-forgotten
formula, Mystic2, a formula that I wrote a number of years ago.
Because I rarely add comments to my formulae, the original
purpose of the formula is now a mystery.  Perhaps I wrote it
totally at random, just to see what it would do, and then
discarded it because with the inside set to the usual 0, it
draws nothing but circles.  If so, I acted in haste, for when a
dynamic fill such as bof60 is applied, the formula comes to life.

When the Mystic2 formula is used, all the action is on the
inside.  Today's image is a good example.  Using the bubble-
producing bof60 inside fill, the formula has produced what looks
like a grand double-arch.  The curved boundary at the bottom is
part of the ever-present circle that always appears when this
formula is used.

Since the image resembles an elaborate double-arch, I named it
"The Grand Arch".  I rated the image at a 6.  This is the third
consecutive FOTD with a rating of 6.  The attached parameter
file runs in 4-1/2 minutes, leaving it to the viewer to decide
whether to download the GIF file of the image from:

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

or from:

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

The fractal weather today began with a mild thunder-shower and
ended with another mild thunder-shower.  In between it was
sultry, with lots of clouds and a temperature of 82F (28C).  The
fractal cats were too busy sleeping to give much notice to the
weather.

It's now time to attend to other things, but the next fractal is
already cooking.  Until the next one is finished, take care, and
have a moderately good day.


Jim Muth
[e-mail]


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

The_Grand_Arch     { ; time=0:04:39.30--SF5 on a P200
  reset=2001 type=formula formulafile=jim.frm
  formulaname=Mystic2 function=sin passes=1
  center-mag=0.698216/6.66134e-016/2.801685/1/-90
  params=-5.499/1.957/7.803/1.028/0.359/-1.367
  float=y maxiter=120 inside=bof60
  logmap=yes periodicity=0
  colors=000Z`OWXLSTJPQHFFFFFFGGGHHHIIIJJJKKKe2Nc2Ma\
  2LV2WS3TQ3RO3PM4MJ4KH4IF5FD5DA5B868666464262276279\
  27D28G28K28N29R29U29X5ET7JP9OLCTHEYDGb9If6Kd7Mb7N`\
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  bh2`e2Yb2W_2TY1RV1OS1MP1JM1HJ1EH0CE09B0780450220en\
  UXcOPUIGKC8A6moYikVegTbcQ
  }

frm:Mystic2 {; Jim Muth
a=real(p1), b=imag(p1), c=real(p2),
d=imag(p2), k=real(p3), f=imag(p3),
g=pixel, z=(pixel)^a+(b*(pixel))^c:
z=(fn1(z)+(d*(g)))^k+(f*(cos(g)))
g=sqr(g),
LastSqr <= 100
}

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


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

Date: Tue, 10 Jul 2001 09:44:05 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) C-FOTD  10-07-01  (The End of a Midget [6])

Classic FOTD -- July 10, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

Today's image is very slow.  In fact it's the second slowest
FOTD of all time.  It's so slow because we've gone a long way --
we've followed the largest midget of the M-set until it is
finally ready to be absorbed into the infinite ocean of trapped
points of its parent, the god-like place where midgets go when
they cease to exist.

It's the same midget that appeared in the N-D-E image of July 8,
but what a change lowering the exponent of Z from 1.066 to 1.05
has made.  The N-D-E image renders in 6 minutes, while today's
takes 11 hours.

The big difference is that the midget, or what remains of it,
has been absorbed into the high-iteration random chaos that
stretches (invisibly at normal maxiters) along the shoreline of
the parent fractal, the nearest part of which lies just beyond
the upper right corner of the frame.

Most of the elements in the N-D-E image had iterations in the
hundreds; the blue elements in today's image have iterations in
the hundreds of thousands.  The original negative tail of the
M-set is still vaguely visible as the broad, featureless area of
blue stretching from the midget toward the left edge of the
screen.  The midget itself has degenerated until it is little
more than a distorted circle.  The only remaining recognizable
feature is East Valley, the point on the midget's lower edge,
where the features converge.  No elephants are in the scene
however.  The elephants have long since vanished, to be replaced
by scalloped features that seem to be shedding fractal debris.

The reddish area at the lower left, which eventually leads into
the midget's valley, seems almost not to belong there.  It has
an iteration in the 150 range compared to the 100,000 range of
most of the scene, and is an actual part of the shoreline of the
parent fractal, which is little more than a crooked circle.

To see how today's midget lies in relation to its parent, lower
the maxiter to 300, turn off the logmap, and back out a few
zooms.  It will be immediately apparent that, when viewing the
parent, there is no evidence of the midget's existence.  The
only way to find today's midget is to follow it as the exponent
of Z is reduced.  And even this is difficult, for the exponent
of C in the iterated formula must be adjusted by just the right
amount to keep the midget from slipping out of sight beyond some
branch-cut discontinuity.

I could have taken the process even further, but at lower
exponents of Z, the render time increases apparently without
limit.  Since as far as I can tell, the appearance of the midget
does not change at lower exponents, I decided that Z^1.05 and a
render time of almost 12 hours was a good place to stop.

And that's the story of how a midget came to its end.  I named
the picture "The End of a Midget" and rated it a 6.

For those wise fractalists who decide not to render, but to
download the finished GIF image instead, that image will soon be
available on paul's web site at:

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

It will also be available on Scott's site at:

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

But give them a chance to do the heavy work before visiting
their sites.

The fractal weather today (yesterday) was summer-like, with hot
sun, a temperature of 90F (32C), and happy cats.

The work today is piling up, so I'd better get busy.  I'll
return in the allotted time with a fractal that is guaranteed to
be faster.  And I might even have some philosophy to cause one
to wonder about things they would rather forget.  Until then,
take care, and don't forget to wonder about those fractals.


Jim Muth
[e-mail]


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

TheEnd_of_a_Midget { ; time=11:01:10.44-SF5 on a P200
  reset=2001 type=formula formulafile=jim.frm
  formulaname=JimsCompMand passes=t
  center-mag=-1.095780444268702/+0.155209794935997/3\
  213.186/1/52.5 params=1.05/0/0.688/0/0/0 float=y
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  Mz`Mz`Mz`Mz`Mz`Mz`Mz`Mz_Mz_Mz_Mz_Mz_Mz_Mz_MzZMzZMz\
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  zXMzXMzXMzXMzXMzWMzWMzWMz
  }

frm:JimsCompMand {; Jim Muth
z=c=pixel:
z=z^p1*(c^p2)+c,
|z| <= p3+100
}

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


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Date: Wed, 11 Jul 2001 11:05:02 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) C-FOTD  11-07-01  (Sea-What [4])

Classic FOTD -- July 11, 2001 (Rating 4)

Fractal visionaries and enthusiasts:

July, 2001 has been declared midgetless month, quadratic-
midgetless that is.  So I need a way to follow the theme while
still pampering my obsession with these tiny holes that fill the
border of the Mandelbrot set as well as many other fractals.

Today I have chosen to work around the no-midget theme by
viewing the hole from a different direction.  Those who would
like to see the hole in its full quadratic-midget aspect can do
so by entering either the p3 or p4 coordinates into the Mandel
formula as center coordinates and letting it iterate.

The coordinates show that today's scene lies deep in the
Seahorse Valley area of the Mandelbrot set, or more accurately,
the extension of Seahorse Valley into the four-dimensional
Julibrot.  I'll not try to describe the orientation of today's
image in that 4-D object, since 4-D things are impossible for we
3-D limited beings to visualize.

As is usually the case in the odd slices, the area around the
hole, which in this case has been pulled into a thin slit, is
stretched and distorted.  The 2,4,8... series can be followed to
the 'four' level, but the 'eight' level is nearly lost in the
stretching and distortion closer to the hole.

I named the image "Sea-What" because, though it is a view of a
seahorse, it is like nothing to be found in the familiar
"Seahorse Valley".  And since it's not really an outstanding
image, I could rate it at only an 8.  The image may be viewed by
running the attached 7-minute parameter file or by picking up
the GIF image from Paul's web site at:

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

or from Scott's site at:

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

The fractal weather today was sunny and hot until 5pm, when a
very strong thunder-storm moved in, dropping the temperature
from 93F (34C) to 70F (21C).  The fractal cats enjoyed the
sudden coolness, but disliked the noise that accompanied its
arrival.

It's now almost 11am -- time to do something useful.  So until
next time, take care, and just because the fourth dimension
can't be pictured doesn't mean it's not there.


Jim Muth
[e-mail]


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

Sea_What           { ; time=0:07:41.65--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=multirot-XZ-YW-new passes=1
  center-mag=+0.00000327661430389/-0.000000049069920\
  32/1.729035e+007/0.003293/-179.142/88.744
  params=183/92/2/0/-0.749695276287/0.032780202799\
  /-0.749695276287/0.032780202799 float=y
  maxiter=12000 inside=0 periodicity=10
  colors=000ICEJEFKFGLGHMHINIJOJKPKLQLMRMNSNOTOPUPQV\
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  9hD9hE9hE9gF9gG9gGAgHAgIA
  }

frm:multirot-XZ-YW-new {; 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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------------------------------

Date: Thu, 12 Jul 2001 19:05:44 +1200
From: "Morgan L. Owens" <[e-mail]>
Subject: (fractint) Re: [philofractal] C-FOTD  11-07-01  (Sea-What [4])

At 03:05 12/07/2001, Jim Muth wrote:

>... just because the fourth dimension
>can't be pictured doesn't mean it's not there.
>

Textures in 3-D software like POV-Ray are four-dimensional (more if you
count colouring).

Morgan L. Owens
"It's just another number."


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Date: Thu, 12 Jul 2001 10:44:54 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) C-FOTD  12-07-01  (An Illegal Midget [8])

Classic FOTD -- July 12, 2001 (Rating 8)

Fractal visionaries and enthusiasts:

In yesterday's FOTD, which rated a 4, I mistakenly mentioned
that the image rated an 8.  So to atone for my error, I feel it
is proper for me to present an image today that actually rates
an 8.  But to do so I must renege on my pledge to present no
quadratic midgets in the month of July.  Well, with only one
midget, we'll call July a virtually midgetless month.

I had been saving today's image for the FOTD of August 1, which
will be the first day on which quadratic midgets will again be
permitted.  But due to the circumstances, I found it necessary
to use it today.

As I mentioned, today's image shows a very prominent midget.  It
is therefore illegal.  I named the image "The Illegal Midget"
accordingly.

The parent fractal was created by the MandelbrotMix4 formula
- -10(Z^(-1.1))-0.1(Z^(-11))+(1/C), with a bailout radius of 900.
The parameter file is relatively fast, but still slow enough to
cause impatience if the machine is needed for other things.  But
relief will soon be available on the internet at Paul's web site
at:

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

and at Scott's site at:

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

With a temperature of 86F (30C), the fractal weather today was
near perfect, the only exception coming in the early afternoon,
when a dark cloud dropped a few large raindrops that chased the
fractal cats indoors.  Five minutes later the cloud passed on,
the sun returned, and the cats once again went into the yard.

It's now time to get busy.  Until next time, take care.


Jim Muth
[e-mail]


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

An_Illegal_Midget  { ; time=0:14:15.16--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+5.011007493464664/-0.127916407872741/8\
  75157.1/1/130 params=10/-1.1/0.1/-11/-2/800 float=y
  maxiter=2400 inside=0 logmap=221 periodicity=10
  colors=000AAiAAiAAgAAeAAcBAaCA_DAYEAWFAUGASHAQIBOJ\
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  bz7cz8cz8cz9czAczAczBczBczCczCczDczEczEczFczOczRcz\
  UczXcz_czbczeczcczgczjczm
  }

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, 12 Jul 2001 14:04:05 EDT
From: [e-mail]
Subject: (fractint) Re: C-FOTD  11-07-01

Morgan Owens wrote:

>Textures in 3-D software like POV-Ray are four-dimensional (more if you
>count colouring).

Yes, but we still see only 3-D variations.  Our minds tell us that the
various
3-D shapes can be taken together to form a single 4-D or 5-D hyperobject,
but that higher form must remain forever unvisualized.  Likewise, when
viewing a computer animation of a rotating 4-D object, depending on the
orientation, I see either a normal 3-D object rotating in the normal manner,
a 3-D object changing shape in a cyclical manner, or a 3-D object both
rotating and changing shape.  At no time do I see the entirety of the
undistorted 4-D object at a single moment of time.  Of course, I would
need eyes with retinas whose surfaces were three-dimensional to do so.

Jim M.

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Date: Thu, 12 Jul 2001 10:23:19 -0300
From: "Fernando Bresslau" <[e-mail]>
Subject: Re: (fractint) Midgets...

I would even suggest you publish  a resulting sequence somewhere. I┤m
curious.
Once I downloaded a prog that would calculate the positon of midgets. It
worked, since I know the author used it to render the deepest midget found
until that time.
Fernando Bresslau

- ----- Original Message -----
From: "David Jones" <[e-mail]>
To: <[e-mail]>
Sent: Tuesday, June 19, 2001 7:43 AM
Subject: Re: (fractint) Midgets...


> Hmm, could you make a command line version that could
> take parameters from the command line or via a batch
> file, then display the results? Is there some way to
> save the results? It sounds like fun!
>
> David
> [e-mail]
>
> On 19 Jun 01 at 4:54, Multiple Bogeys wrote:
>
> > Over the past couple of days I cobbled together a small
> > C program that is possibly the first Mandelbrot
> > autoexplorer designed specifically to home in on midgets
> > -- and if not, then probably the first one that actually
> > works.
> >
> > I'd post the source code here, but there're about two
> > thousand lines of it. I'd stick it on the Web but my
> > pages are in a shambles. Besides, the interface sucks --
> > it's noninteractive with no parameters, you have to
> > actually edit the source and recompile it to change any
> > of the parameters, and without varying the parameters it
> > has a limited repertoire. It produces a short zoom
> > sequence (as many as 20 images) of grey-scaled distance
> > estimator images that look very nice and tend to close
> > in on a midget (occasionally a bud instead).
> > Occasionally it "backs up" a bit and zooms back in in a
> > slightly different spot.
>
>
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------------------------------

Date: Fri, 13 Jul 2001 15:05:13 +1200
From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) Re: C-FOTD  11-07-01

At 06:04 13/07/2001, [e-mail] wrote:
>Morgan Owens wrote:
>
> >Textures in 3-D software like POV-Ray are four-dimensional (more if you
> >count colouring).
>
>Yes, but we still see only 3-D variations.

Funny, I only see 2-D variations. It's my mind that (with practice) puts
these together and inter/extrapolates to give me a 3-D visualisation.

Morgan L. Owens
"What sort of retinas do you have?"


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End of fractint-digest V1 #581
******************************