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fractint-digest       Saturday, January 9 1999       Volume 01 : Number 350




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

Date: Thu, 07 Jan 1999 19:50:53 -0500
From: Paul DeCelle <[e-mail]>
Subject: (fractint) Gallery Update

Jacco - I visited your updated site & I like it very much.  I also
spotted the Frank Zappa inspired titles.  Could there be some bizarre
connection between enjoying Zappa's music and being interested in
fractals?  I've noticed a few fans on this list alone:-)  FZ would love
it--

Anyway, here's a par that may (or may not) have anything to do with
Zappa!


Regards, Paul DeCelle

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

Standing_Waves     { ; A lesfrm34 image t=0:05:03
                     ; Paul DeCelle 1/7/99
reset=1960 type=formula formulafile=frac_ml.frm
formulaname=lesfrm34 function=sin/cosxx/exp passes=3
center-mag=0.39549/0.332018/7.248986/1/-90
params=2.71828182845905/0.44/3.14159265358979/0.032
potential=255/200/0
colors=dtyqzy<13>hvzgvzfuyfuyetycty<10>VnuVmuUltTktSks<9>LcnKcnJbmJalI`k\
H_k<16>7NZ6MY6MX6MX<10>1EP1DO1DN1CN1BM<7>07G06F06F06E<7>029029128128117<\
7>304403403502502<3>701701801900<11>G30H30H30I40J40J51<4>N72O82P82P82Q92\
RA3<7>XE6YF6ZG7_H7_H8<14>kTHkUIlUIlVJmWK<14>ufVvgWvgXvhY<5>ylaymbyncyndy\
oe<2>zpfzqgzqhzrizri<4>zumzvnzvnzvo<6>yysyysyytxytxyu<2>wzuvzvvzvvzwuzw<\
2>tzytzyszyszyrzyrzyqzy
}

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

Date: Fri, 8 Jan 1999 10:17:47 -0300
From: "Fliguer, Miguel" <[e-mail]>
Subject: RE: (fractint) Gallery Update

Paul DeCelle wrote :

>>> Could there be some bizarre connection
>>> between enjoying Zappa's music and being
>>> interested in fractals?  I've noticed a few fans
>>> on this list alone:-)  FZ would love it--

One more reason to love this list !

Yes, there is a connection. Zappa's music, just like a well crafted
fractal, is beautiful, complex, sometimes chaotic, and it reveals
more beautiful layers when you dig (or zoom) a bit.

So far the detected Zappa fans at this list are Jim Weaver,
Jacco Burger, Paul DeCelle and myself. Not bad, not bad....

Incidentally, I'm a member of one of the thousands of groups
trying to crack the RC5-64 key. And our group is called, you
guessed it, "alt.fan.frank-zappa RC5-64 Crack Decryption Squad"
So there should be another strange connection...

And BTW, I'm still working on my FZ Memorial Fractal Page
(to be displayed at my Franktal site), I'll make the announcement
when it's finished. Meanwhile, enjoy these ZappaPars ;-)

swami        {; Who you jivin' with that Cosmik Debris ?
         ; from the FZ Memorial Fractal Page
         ; by Miguel Fliguer - 1999
  reset=1960 type=tim's_error function=tan
  center-mag=-1.0642/-0.0273895/1.223492/1/90 params=1/0
  bailoutest=imag potential=255/240/0

colors=222323545<18>OMTQNVPMU<17>B4DA3CB4D<10>VFOXGP_HRbHSeIUdKTbNS<7>f6
\

Og3Nf3N<6>X4GV5FV5F<6>a3Fb2Eb4G<6>iLWjOZjOY<7>cIQ<7>jghkkkjhf<6>cO8bL2`K
\

3<7>H7E<5>`WVc`Yfd`jicifa<6>bKK`GHYGH<3>448227<7>QQVUTZWUZ<7>nia<8>EAA<8
\

>F23F23E23<5>A55966855622<8>ZAB<8>EA6<6>LA9MAANABOBCQDD<5>_PJaRKbRJ<6>lX
\
  6nY4mY6<4>gVG434 cyclerange=2/255
  }

Pink_Napkins    {; from the FZ Memorial Fractal Page
         ; by Miguel Fliguer - 1999
  reset=1960 type=formula formulafile=miguel.frm formulaname=zappa-1
  function=sin/exp

center-mag=-0.37849950750000000/+0.10243439650000000/1342.673/0.9995/12.
\
  171 potential=255/50000/0

colors=000mYT<22>bAI000<37>J7aK8bL8cM8dM8fN8gO9i<10>O9aO9`O9`O9`<9>K9XJ8
\

XJ8WI8V<26>112000000<27>325436534423<8>wuu<11>YJ9VF4SD4<5>421445<9>`THdW
\
  JfXJ<4>n`IoaIn`I<16>Y54X33Y65<13>skYuo`un`<14>mZT
  }

frm:zappa-1 {; by Miguel Fliguer
z=c=pixel:
x=z*pixel+c
y=c*pixel+z
IF ( |x| > |y| )
   z = fn1(x)-fn2(y)
   ELSE
   z = fn1(fn2(x-y))
ENDIF
|z|<4
}


Regards,
Miguel Fliguer - Buenos Aires, Argentina
Franktal Gallery - Shut Up And Draw Yer Fractals
http://members.xoom.com/fliguer/franktal.html



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

Date: Fri, 8 Jan 1999 11:07:59 -0300
From: "Alejandro Kainer" <[e-mail]>
Subject: (fractint) The best band ...

Hi, guys,

I'm sorry I can't do my own fractals as well (I assure you that soon they
will be in your screens), but I'm a Frank Zappa's fan too. By now, I'm
looking at your fractals and as Miguel Fliguer said, the connection betwe=
en
complexity in both fractals and Frank's music is, excuse my words,
outstanding and amazing. Paul, I'm sure FZ would love it... He does fract=
al
music, doesn't he?

________________________________
Alejandro Gustavo Kainer
Sirti Argentina S.A.
Hip=F3lito Irigoyen 4848
(1602) - Florida - Bs.As.
ARGENTINA
Tel: [phone] - Int. 1417 / 1418
Fax: [phone]
e-mail: [e-mail]
________________________________


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

Date: Fri, 08 Jan 1999 18:45:21 +0000
From: Baxter Tocher <[e-mail]>
Subject: Re: (fractint) Gallery Update

"Fliguer, Miguel" wrote:

> >>> Could there be some bizarre connection
> >>> between enjoying Zappa's music and being
> >>> interested in fractals?  I've noticed a few fans

> One more reason to love this list !
>
> Yes, there is a connection. Zappa's music, just like a well crafted
> fractal, is beautiful, complex, sometimes chaotic, and it reveals
> more beautiful layers when you dig (or zoom) a bit.

Very nicely put, Miguel, and it looks like an appropriate moment for
this lurker to say "hello" to the list! I'm a big fan of both FZ as well
as fractals.

I've been dabbling with fractals for a few years now, firstly on the
Atari ST, then on the Amiga (using an earlier version of Fractint
amongst others), and now on the PC with Windows 95 (and soon with Linux
once I get Fractint working properly there!).

I've still a lot to learn about what the program can do; you are all
finding some truly beautiful images and writing some wonderful formulae.

Nearly forgot - my first two pars. I'll post more when I know a bit more
about what I'm doing :)

NEONJLRY           { ; "Neon Jewellery"                     t=
0:00:12.36
                     ; t=calc time [h:mm:ss.] using a P150 at
800x600
                     ; based on "Pinwheel" by Les St Clair
                     ; e-mail to: [e-mail]
  reset=1960 type=formula formulafile=chby1.frm formulaname=s03-01
  passes=1 center-mag=1.33227e-015/-1.33227e-015/0.5324087
  params=3.14159265358979/0.7 float=y maxiter=255 inside=bof60
  decomp=256

colors=I1B<4>Z1Bb2Cf1A<4>z00<8>zs0zv0zs0<7>z00<8>S2HO2JM2I<12>000<10>O2J\

<8>31a00d04f<8>0cz<7>05g00d20b<8>O2J<12>101201<8>M2HO2JS2H<8>z00<8>zs0zv\

0zs0<7>z00<9>O2J<2>K2FI2EG2DE2BD2A<5>212000000<4>D1AF1CH1DJ1FM2HO2JK2LK2\
  N<6>30b00d04f<8>0cz<7>05g00d20b<8>O2J<13>000<4>A07C19D19D1AE1B
  }

SERPENTR           { ; "Serpent Ring"                       t=
0:00:21.70
                     ; t=calc time [h:mm:ss.] using a P150 at
800x600
                     ; based on "Pinwheel" by Les St Clair
                     ; e-mail to: [e-mail]
  reset=1960 type=formula formulafile=chby1.frm formulaname=s03-01
  passes=1 center-mag=8.04912e-016/-9.99201e-016/9.210343/1/22.5
  params=3.14159265358979/0.7 float=y maxiter=128 inside=bof61
  invert=0.0215459539510404/0/0 decomp=256

colors=HGN<4>JIPKJPLKQMLR<32>jghjghkhikhilij<3>nklnklmjm<20>X7KW5JV3HU1F\

<6>L3MK3NI3M<6>31F00E02F<6>4KT5NV5PV<4>2YV<8>RedUfeVfe<29>ttjuukttjrriqq\

hqqh<2>nlfmjekgc<2>dXZaTXYNU<3>K0KK0K<2>F4KE5KD5K<3>85K66J55I<3>22G11F11\

F11F<7>33I33I44J55J55K<4>CCODDPFFR<3>MMWNNXQQZ<2>WWcZZd``fccheej<2>nnppp\
  rttuttupprllojhlffjcch<6>UU_SSZQQWQQW<4>KKQIIPHHOFFMFFM<6>GGN
  }

frm:S03-01(Origin){;V.1.0 - earlier versions may be discarded
; = zS02-S01
t=p1,bailout=4,z=pixel:
x=real(z),y=imag(z)
Tx=x*(x*x-2)
Ty=y*(y*y-2)
x=x-t*Ty,y=y+t*Tx
z=x+flip(y)
|z|<=bailout}

- --

Baxter

[e-mail]


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

Date: Fri, 8 Jan 1999 21:27:32 +0100
From: "Jacco Burger" <[e-mail]>
Subject: (fractint) We're only in it for the fractals

When I first tried to think of names for my fractals I really had no
inspiration. I didn't want to give them those often used names like
'Neon Spiral' or 'Blue Mandelbrot' or 'Red Alien', but I couldn't
think of anything better either...

So one day I was sitting, staring at one of my fractals on my
computerscreen, thinking and thinking: how should I call this one? At
that moment I had a record of Frank Zappa playing, and I heard him
singing: "In the dangerous kitchen..... if it ain't one thing it's
another...." and I thought: that's it! So I started reading the
sleeves of all the LP and CD records I had, and that is how many of my
fractals got their names.

So if you take a good look at my fractal gallery you might also find
some songtitles from other bands and musicians. I am not going to
spoil the fun by telling which ones they are, that is for you to
discover.

A source of inspiration for exotic fractal names are dictionaries of
foreign languages. The dictionary also provides you very conveniantly
with the meaning of the word so you can be sure you are not using
offensive words. This can be tricky, though! I know for instance that
some very ordinary Dutch words sound very rude to Polish people....

Another way of finding names is fun and very easy. Just show a fractal
to somebody, preferably a child, and ask: "what does this look like?".
You will be surprised! At least 3 of my fractals got their names this
way.

Actually, I am thinking of adding some of this kind of information to
my fractals on my webpages. I will let you know in time.

I am very curious about other people's sources for names. Anyone who
would like to tell about it?

Bye!
Jacco
webgallery: www.caiw.nl/~jaccobu



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

Date: Fri, 8 Jan 1999 17:42:13 -0300
From: "Ricardo M. Forno" <[e-mail]>
Subject: (fractint) Fractal names

Jacco:
I sometimes use names from my classical music CD collection. Once, for
example, I named one of them 'Sprotar', an Icelandic word of which I do not
know the meaning yet, but surely it is not offensive.

Ricardo.

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

Date: Fri, 08 Jan 1999 14:45:42 -0600
From: "Damien M. Jones" <[e-mail]>
Subject: Re: (fractint) Naming fractals

Jacco,

 - I am very curious about other people's sources for names. Anyone who
 - would like to tell about it?

Normally I just look at the fractal and think of what it reminds me of.
That probably accounts for most of the lame names I've used. :-)  Often
while exploring I will see a shape that makes me think of something, and
I'll refine the image in that direction to make it fit the name.  Sometimes
I'm just totally stumped; at that point, I turn to a few friends for help.
I do have one friend who has named several fractals who doesn't know much
about fractals at all (just that he likes them).  And sometimes it just
helps to have someone else look at the images, so that you get a fresh
perspective.

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

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

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

Date: Fri, 8 Jan 1999 16:38:36 EST
From: [e-mail]
Subject: Re: (fractint) We're only in it for the fractals

In a message dated 1/8/99 12:32:40 PM Pacific Standard Time,
[e-mail] writes:

> I am very curious about other people's sources for names. Anyone who
>  would like to tell about it?

Some I name for friends, some for mythological characters, some for my own
transient thoughts......

You mentioned using words in other languages. I just found a wonderful site
for that, which provides links to languages most of us have never even *heard*
of, for translation and even on-line language lessons:

http://www.elite.net/~runner/jennifers/languag2.htm

BTW I have a Frank Zappa for President tee-shirt.....count me in :)

Dama


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

Date: Fri, 08 Jan 1999 17:16:30 -0500
From: Paul Derbyshire <[e-mail]>
Subject: Re: (fractint) We're only in it for the fractals

At 04:38 PM 1/8/99 EST, you wrote:
>In a message dated 1/8/99 12:32:40 PM Pacific Standard Time,
>[e-mail] writes:
>
>> I am very curious about other people's sources for names. Anyone who
>>  would like to tell about it?
>
>Some I name for friends, some for mythological characters, some for my own
>transient thoughts......

I invent names for mine. If you see "Teralla" or "Krenias" or something
similar in an online dictionary it is entirely coincidental.

>You mentioned using words in other languages. I just found a wonderful site
>for that, which provides links to languages most of us have never even
*heard*
>of, for translation and even on-line language lessons:
>
>http://www.elite.net/~runner/jennifers/languag2.htm

Thanks! Might be interesting and/or useful. :-)

>BTW I have a Frank Zappa for President tee-shirt.....count me in :)

How about Gillian Anderson for president-ess?
(I don't think there's ever been a red-head in office in the western
world.... let alone a lady one.)
- --
   .*.  "Clouds are not spheres, mountains are not cones, coastlines are not
- -()  <  circles, and bark is not smooth, nor does lightning travel in a
   `*'  straight line."    -------------------------------------------------
        -- B. Mandelbrot  |http://surf.to/pgd.net
_____________________ ____|________     Paul Derbyshire     [e-mail]
Programmer & Humanist|ICQ: 10423848|

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

Date: Fri, 8 Jan 1999 19:27:04 EST
From: [e-mail]
Subject: Re: (fractint) video card/makemig

Davides,

I have also run into this problem.  Instead of shelling to DOS,  restart the
computer in MS-DOS mode. (I am assuming here that you have Windows 95.)  Then
you should be able to run Makemig with no trouble.

Bill

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

Date: Fri, 8 Jan 1999 19:51:49 EST
From: [e-mail]
Subject: Re: (fractint) We're only in it for the fractals

In a message dated 01/08/1999 12:32:40 PM Pacific Standard Time,
[e-mail] writes:

<< I am very curious about other people's sources for names. Anyone who
 would like to tell about it? >>

how about http://members.aol.com/vbolug/fractal.htm.  Here is where various
people get to give them names in a contest format.  Amazing to see how many
different people think in naming a fractal.  Sparks the creative process.

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

Date: Fri, 08 Jan 1999 21:19:52 -0500
From: Paul DeCelle <[e-mail]>
Subject: (fractint) Gallery Update

Hi, Everyone--

Miguel Fliguer wrote:

>Yes, there is a connection. Zappa's music, just like a well crafted
>fractal, is beautiful, complex, sometimes chaotic, and it reveals
>more beautiful layers when you dig (or zoom) a bit.



Miguel makes a good point - I never really thought about it that way,
but it does make a lot of sense..

Damascena, About that tee shirt - he'd certainly do a better job of it
than the one we have now.  Wear it with pride!

In keeping with the theme, here's a par from the Zappa_1 formula Miguel
posted earlier today - Took more than 30 minutes on my P60, but worth
the wait..  Oddly, activating floating point caused the fanlike
structures to disappear, resulting in a very different image.  Anyone
know why?

Regards, Paul DeCelle



Fossil_Floss       { ; A Fossilized Dental Floss Bush
                     ; From the Zappa-1 formula t=30+min P60
                     ; Paul DeCelle 1/8/98
reset=1960 type=formula formulafile=*.frm formulaname=zappa-1
function=tan/tanh passes=1
center-mag=-0.21433481550000000/+0.50233301550000000/94.35625/0.9997/-85\
.174 potential=255/50000/0
colors=00504B<2>029029128128117<2>216EEF<114>wvywvywvywvywvy<24>wvyvuxvu\
xutwutw<67>MILLHKMIL<21>mkn00305C04C
}

frm:zappa-1 {; by Miguel Fliguer
z=c=pixel:
x=z*pixel+c
y=c*pixel+z
IF ( |x| > |y| )
   z = fn1(x)-fn2(y)
   ELSE
   z = fn1(fn2(x-y))
ENDIF
|z|<4
}

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Date: Fri, 08 Jan 1999 21:58:29 -0500
From: Paul DeCelle <[e-mail]>
Subject: Re: (fractint) Gallery Update

Baxter Tocher wrote:

> I'm a big fan of both FZ as well as fractals.

:-)  :-)

> Nearly forgot - my first two pars. I'll post more when I know a bit more
> about what I'm doing :)
>
Welcome, Baxter!  Very nice images.  Just took a little text editing to
format them for Fractint.  I find that (using Netscape and Notepad,
anyway), if I delete any open spaces at the beginning of each line of
the par where the parameters and color info is contained before I send,
it transmits true.  You can check by opening your posting after you've
sent it by opening it from the "Sent" folder.  Other browsers probably
have similar features..

I look forward to seeing more of your work..

Regards, Paul DeCelle

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Date: Fri, 08 Jan 1999 22:26:05 -0500
From: Paul DeCelle <[e-mail]>
Subject: Re: (fractint) We're only in it for the fractals

[e-mail] wrote:
>
> how about http://members.aol.com/vbolug/fractal.htm.  Here is where various
> people get to give them names in a contest format.  Amazing to see how many
> different people think in naming a fractal.  Sparks the creative process.


I checked this out - A pretty nice site.  I entered a vote, but my
e-mail was returned "undeliverable" with the following:

>The line beginning with "<<<" describes the specific reason your e-mail could
>not be delivered.  The next line contains a second error message which is a
>general translation for other e-mail servers.

<<< 550 VBOLUG IS NOT ACCEPTING MAIL FROM THIS SENDER

It's an AOL address; It may only be intended for AOL members..  Anyone
else experience this?

Regards, Paul DeCelle

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Date: Fri, 08 Jan 1999 19:57:49 -0800
From: Christopher Springer <[e-mail]>
Subject: (fractint) Infinity and All Things

Hi Everyone...

We have all heard that a Fractal is Self-Similar
(but not Self-Identical) at increasing magnifications.

This means adjacent consecutive magnification levels
are not identical. Maybe very close, but not identical.

But might a (perhaps very long) sequence of such adjacent
levels not Start and End with Self-Identical shapes???

If so, perhaps this sequence may repeat indefinitely in what
I would call a "linear" manner. This is comparable to leaving
your home for a walk and always taking the same route and
then returning. This is the "First Possibility".

The "Second Possibility" is that the second sequence may traverse
different shapes than the first yet still return to the identical
"Starter/Ender" pattern in what I would call a "rooted" wave pattern.
This is comparable to leaving your home for a walk and taking a
different route each time but always returning to the "home"
location (location=pattern).

The "Third Possibility" is the zoom changes are in no way repetitive
but are open ended, ever changing and ever different.

Now, since the Fractal zoom levels continue without end, then
if the First Possibility applied, only a finite number of shapes
would be generated.

But, if the Second or Third Possibilities applied, an Infinite number
of shapes would be generated. This means the sum total of
"All Possible Shapes" which COULD be generated, percieved or
imagined would be generated by...

Mandelbrot to power 2
Mandelbrot to power 3
Mandelbrot to power 4... etcetera, etcetera and so forth.

So, somewhere deep within EACH Mandelbrot lurks
not only a Mona Lisa, but the entire Works all of ALL
the Artists who have ever been and will ever be...
PLUS a fair bit of just plain gobbledegook.

These same images (the "Infinite Set") would arise from
ALL Mandelbrots, regardless of to what power. So, at
"Infinity", the outputs generated by ALL Fractal types,
to whatever power, becomes the same, namely "every
shape that can possibly be". Strange!!!

There is of course one possible fly in the ointment of this
Fanciful Flight to Fractal Infinity...

If the successive zoom differences gave increasingly smaller
pattern differences such that these tinier amd tinear differences
asymtopically approaches zero... never ceasing to change,
but with changes becoming literally infinitesimally small...
then, no more Mona Lisa.

So, what do you folks, many much brighter than me, think???
Or does this kind of thing just give you a headache?

Christopher Springer


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Date: Fri, 8 Jan 1999 22:20:11 -0700 (MST)
From: Kerry Mitchell <[e-mail]>
Subject: Re: (fractint) Infinity and All Things

On Fri, 8 Jan 1999, Christopher Springer wrote:

> The "Third Possibility" is the zoom changes are in no way repetitive
> but are open ended, ever changing and ever different.

To my understanding, this is the case.  Each "midget" is slightly warped
with respect to the main cardioid; the relative warping is different for
each midget.

> So, somewhere deep within EACH Mandelbrot lurks
> not only a Mona Lisa, but the entire Works all of ALL
> the Artists who have ever been and will ever be...
> PLUS a fair bit of just plain gobbledegook.

This is a common mistake, confusing "infinite" with "containing
everything".  The Mandelbrot set truly is infinite, that is, going on (in)
forever, but it certainly doesn't contain everything.  It's similar to a
sequence of numbers.  Consider any infinite sequence of the digits 0-9.
No matter what sequence you choose or how long you look, you'll never find
the sequence "THIS SPACE FOR RENT" in the sequence.  In the same vein,
you'll not find a Mona Lisa in the Mandelbrot set.

Kerry Mitchell



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Date: Sat, 9 Jan 1999 00:49:41 EST
From: [e-mail]
Subject: Re: (fractint) We're only in it for the fractals

In a message dated 1/8/99 7:24:01 PM Pacific Standard Time, [e-mail]
writes:

<< >The line beginning with "<<<" describes the specific reason your e-mail
could
 >not be delivered.  The next line contains a second error message which is a
 >general translation for other e-mail servers.

 <<< 550 VBOLUG IS NOT ACCEPTING MAIL FROM THIS SENDER

 It's an AOL address; It may only be intended for AOL members..  Anyone
 else experience this? >>

Try again.   AOL has its peak times where it tends to do this.

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Date: Fri, 8 Jan 1999 22:37:25 -0800
From: "Jon Camp" <[e-mail]>
Subject: Re: (fractint) Infinity and All Things

But what if we took at, say, pi. Some where in the sequence of digits we
will find a representation of the words "This space is for rent" i.e.. 20 08
09 19 19 16 01 03 05 .....
If we digitized the Mona Lisa into say 100 colors, and then made a sequence
out of the picture, line by line, we would have a finite sequence that would
have to exist inside of an infinite sequence. Could not the same thing be
said about a fractal? If we take a line straight across a given fractal and
obtain a sequence of numbers, won't there be an infinite number of possible
sequences? Just my thoughts.... :)

Jon Camp
Valparaiso University
chaotic n-space network
http://www.valpo.edu/home/student/jcamp/fractals_gate.html


- -----Original Message-----
From: Kerry Mitchell <[e-mail]>
To: Fractint Posting <[e-mail]>
Date: Friday, January 08, 1999 9:22 PM
Subject: Re: (fractint) Infinity and All Things


>On Fri, 8 Jan 1999, Christopher Springer wrote:
>
>> The "Third Possibility" is the zoom changes are in no way repetitive
>> but are open ended, ever changing and ever different.
>
>To my understanding, this is the case.  Each "midget" is slightly warped
>with respect to the main cardioid; the relative warping is different for
>each midget.
>
>> So, somewhere deep within EACH Mandelbrot lurks
>> not only a Mona Lisa, but the entire Works all of ALL
>> the Artists who have ever been and will ever be...
>> PLUS a fair bit of just plain gobbledegook.
>
>This is a common mistake, confusing "infinite" with "containing
>everything".  The Mandelbrot set truly is infinite, that is, going on (in)
>forever, but it certainly doesn't contain everything.  It's similar to a
>sequence of numbers.  Consider any infinite sequence of the digits 0-9.
>No matter what sequence you choose or how long you look, you'll never find
>the sequence "THIS SPACE FOR RENT" in the sequence.  In the same vein,
>you'll not find a Mona Lisa in the Mandelbrot set.
>
>Kerry Mitchell
>
>
>
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>Post Message:   [e-mail]
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>Administrator:  [e-mail]
>Unsubscribe:    [e-mail] "unsubscribe fractint"
>


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Date: Fri, 8 Jan 1999 23:59:51 -0700 (MST)
From: Kerry Mitchell <[e-mail]>
Subject: Re: (fractint) Infinity and All Things

On Fri, 8 Jan 1999, Jon Camp wrote:

> But what if we took at, say, pi. Some where in the sequence of digits we
> will find a representation of the words "This space is for rent" i.e.. 20 08
> 09 19 19 16 01 03 05 .....

Strictly speaking:  probably, but not necessarily.  If pi is what is
called a "normal" number, then its decimal representation contains all
finite strings of the digits 0-9.  However, pi's normality has not yet
been proven.  But more generally, there are infinite, non-repeating
numbers that won't contain even your decimal representation of "This space
is for rent", such as the number 0.10010000100000000100000000000000001...

> If we digitized the Mona Lisa into say 100 colors, and then made a sequence
> out of the picture, line by line, we would have a finite sequence that would
> have to exist inside of an infinite sequence. Could not the same thing be
  ^^^^
      No--just because a sequence is infinite, that doesn't mean that it
necessarily contains all finite sequences.

> said about a fractal? If we take a line straight across a given fractal and
> obtain a sequence of numbers, won't there be an infinite number of possible
> sequences?

If you go to digitizing the Mona Lisa, then I'm sure you could find it
somewhere in the Mandelbrot set with some suitable transformations.  But
that would border on tweaking the answer to fit the problem, rather than
truly finding another image in an infinite fractal.

These are subtle points, and I don't mean to stomp on your thoughts, just
help clarify them.

Kerry

- -------------------------------------------------------------------------------
Kerry Mitchell
[e-mail]    www.primenet.com/~lkmitch/
- -------------------------------------------------------------------------------


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Date: Sat, 9 Jan 1999 02:04:20 -0500
From: Barry N Merenoff <[e-mail]>
Subject: (fractint) video modes

I have a Hitachi SuperScan Pro 600 monitor and a Trident 9660/968x/938x
Linear Accelerated for PCI (v5.00.12) version 211. My screen resolution i=
s
1600x1200x256. How do I get this resolution in Fractint?

BTW, thank you, Kerry Mitchell, for explaining the flaw in that argument =
on
infinity. I was going to send in something like that, but I couldn't have=

said it better than you! BTW, has anyone ever tried to categorize these
distortions? And is the set of midgits countable?

Collin Merenoff

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Date: Sat, 9 Jan 1999 00:16:51 -0700 (MST)
From: Kerry Mitchell <[e-mail]>
Subject: Re: (fractint) video modes

On Sat, 9 Jan 1999, Barry N Merenoff wrote:

> I have a Hitachi SuperScan Pro 600 monitor and a Trident 9660/968x/938x
> Linear Accelerated for PCI (v5.00.12) version 211. My screen resolution is
> 1600x1200x256. How do I get this resolution in Fractint?

Have you tried the mode that Sylvie Gallet wrote?  It's for a Matrox
Millenium 1600x1200, but it may work.

> BTW, thank you, Kerry Mitchell, for explaining the flaw in that argument on
> infinity. I was going to send in something like that, but I couldn't have
> said it better than you! BTW, has anyone ever tried to categorize these
> distortions? And is the set of midgits countable?

Thanks for the kind words.  I was able to respond like that because I had
the same question years ago and got the same response.  Likewise, I argued
that the set of midgets was uncountable, and was quite resoundly
corrected.  The short answers seem to be:  1) to every midget, a rational
number can be assigned.  Thus, the set is countable.  2) Since every
midget has an area, the set must be countable since the whole collection
fits within the circle of radius 2.

Regarding the distortions, several years ago, Michael Frame (of Union
College) and I wrote a paper about the distortions within a particular
midget, as opposed to distortions of the midgets (I mention this because I
think there may be some similarity).  The disks along the boundary of the
cardioid of a midget are located and sized according to a simple general
rule.  However, the actual disks are distorted slightly from this rule.
The distortions are distributed "fractally".  That is, when plotting the
distortions, a "fractal" results.  The quotes are required because the set
of distortions is a countable set, and thus cannot be a true fractal.
Anyway, I wouldn't be surprised to see that midget distortions were also
"fractally" distributed.

Kerry


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Date: Sat, 9 Jan 1999 00:16:51 -0700 (MST)
From: Kerry Mitchell <[e-mail]>
Subject: Re: (fractint) video modes

On Sat, 9 Jan 1999, Barry N Merenoff wrote:

> I have a Hitachi SuperScan Pro 600 monitor and a Trident 9660/968x/938x
> Linear Accelerated for PCI (v5.00.12) version 211. My screen resolution is
> 1600x1200x256. How do I get this resolution in Fractint?

Have you tried the mode that Sylvie Gallet wrote?  It's for a Matrox
Millenium 1600x1200, but it may work.

> BTW, thank you, Kerry Mitchell, for explaining the flaw in that argument on
> infinity. I was going to send in something like that, but I couldn't have
> said it better than you! BTW, has anyone ever tried to categorize these
> distortions? And is the set of midgits countable?

Thanks for the kind words.  I was able to respond like that because I had
the same question years ago and got the same response.  Likewise, I argued
that the set of midgets was uncountable, and was quite resoundly
corrected.  The short answers seem to be:  1) to every midget, a rational
number can be assigned.  Thus, the set is countable.  2) Since every
midget has an area, the set must be countable since the whole collection
fits within the circle of radius 2.

Regarding the distortions, several years ago, Michael Frame (of Union
College) and I wrote a paper about the distortions within a particular
midget, as opposed to distortions of the midgets (I mention this because I
think there may be some similarity).  The disks along the boundary of the
cardioid of a midget are located and sized according to a simple general
rule.  However, the actual disks are distorted slightly from this rule.
The distortions are distributed "fractally".  That is, when plotting the
distortions, a "fractal" results.  The quotes are required because the set
of distortions is a countable set, and thus cannot be a true fractal.
Anyway, I wouldn't be surprised to see that midget distortions were also
"fractally" distributed.

Kerry


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

Date: Sat, 9 Jan 1999 04:13:57 EST
From: [e-mail]
Subject: (fractint) 3D overlay par

  Hi All,

     Here is my first attempt at making a parfile for a 3d overlay image.
It's nothing special but I thought I'd post anyway, just in case someone
hasn't seen how to batch a 3d pic yet. More to come later.

       Enjoy~

  JimWeaver

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



barneps5.gif       { ; image(c)1999 Jim Weaver   (save this image 1st)
t=46sec+
  reset=1960 type=barnsleym1 passes=t
  center-mag=0.627662/1.28824/27.70908/1/105 params=-0.9/0 float=y
  maxiter=255 bailoutest=imag inside=epsiloncross outside=atan
  invert=1/0.9/0 periodicity=0 savename=barneps5.gif
  colors=000423<8>wuu<11>YJ9VF4SD4<5>421445<9>`THdWJfXJ<4>n`IoaIn`I<16>Y54\
  X33Y65<13>skYuo`un`<4>riYqhYogX<31>221000101<17>J4AK4AL4BM5BN6BP7B<26>xd\
  EzfFyeF<28>K7CI5BH5A<2>E4873D<9>112000000<27>325436534
  }

stars(background)  { ; image(c)1999 Jim Weaver
                     ; use @ and run 3d_operation after this image has drawn
  reset=1960 type=mandelcloud passes=t
  center-mag=-0.16435972629521090/+0.00000000000000663/1.063499/1.0633/-46\
  .153/11.286 params=35 float=y maxiter=1000 periodicity=0
  colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzzzLzzz000555<3>HHHKKKOO\
  OSSSWWW___ccchhhmmmssszzz00z<3>z0z<3>z00<3>zz0<3>0z0<3>0zz<2>0GzVVz<3>zV\
  z<3>zVV<3>zzV<3>VzV<3>Vzz<2>Vbzhhz<3>zhz<3>zhh<3>zzh<3>hzh<3>hzz<2>hlz00\
  S<3>S0S<3>S00<3>SS0<3>0S0<3>0SS<2>07SEES<3>SES<3>SEE<3>SSE<3>ESE<3>ESS<2\
  >EHSKKS<2>QKSSKSSKQSKOSKMSKK<2>SQKSSKQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3\
  >G0G<3>G00<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG\
  8AG88G8<2>8GE8GG8EG8CG8AGBBG<2>FBGGBGGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2\
  >BGFBGGBFGBDGBCG000<6>000
  }

3d_operation       { ; image(c)1999 Jim Weaver    Enjoy!
                     ;
  3d=overlay filename=barneps5.gif scalexyz=100/100 roughness=0
  waterline=0 transparent=6/6 ambient=20 rotation=0/0/0 perspective=0
  xyshift=0/0
  colors=000NJE<13>000<18>J4AK4AL4BM5BN6BP7B<26>xdEzfFyeF<28>K7CI5BH5A<2>E\
  4873D<9>112000000<27>325436534423<8>wuu<11>YJ9VF4SD4<5>421445<9>`THdWJfX\
  J<4>n`IoaIn`I<16>Y54X33Y65<13>skYuo`un`<4>riYqhYogX<17>OKF
  }




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End of fractint-digest V1 #350
******************************