HDTenEightyP/NetNews huggingface dataset:
From: pholland@iastate.edu (Paul J Hollander)
Subject: Re: kill
Organization: Iowa State University, Ames, IA
Date: Thu, 20 Aug 1992 20:54:22 GMT

In article <1992Aug20.164039.25860@fcom.cc.utah.edu> PJF4081@cc.utah.edu (that's mr. wonderful to you) writes:
>humans are a selfish bunch. there is no way, (READ: NO WAY) that we could
>destroy the earth. what a load of crap. now go away.

That's what they said about the bison herds 150 years ago.  That's what they 
said about the rain forests.  There is little that can't be accomplished 
with some ingenuity and persistence, especially if there are a few bucks to 
be made out of it.  I may have a higher opinion of man's selfishness, 
persistence, ingenuity and greed than you.

This group has been pretty dead the last month or so.  Here's hoping for
some reinvigoration.  Besides, if I'm to go away, I'd like to take a few
billion with me, and I'm always interested in new ways to do so.

Paul Hollander    pholland@iastate.edu
"Converting the earth to a slowly expanding ball of plasma would be so 
aesthically satisfying." -- me
Newsgroups: alt.destroy.the.earth
Subject: That's Italian
From: byron@zeus.opt-sci.arizona.edu (Byron Taylor)
Date: 20 Aug 92 15:50:06
Distribution: world
Organization: University of Arizona Optical Sciences Center

Since the hefty steel sack idea was so well recieved, why not consider 
something even more grandiose ?  The ingredients we need are:
one large mountain for an anchor,many trillion miles of something impossible
to cut, computer ribbon cable should do,a rocket ship, unmanned of course,and
finally, a black hole.  Load the rocket ship with a large spooler, just like
the one on the recent shuttle launch, and aim it towards a black hole.
With one end of the ribbon cable attached to a large mountain, the black hole
should just suck the earth right in like a meatball bit on the end of a 
piece of spaghetti.  This should even destroy all deep sea life, unless some
alternate universe extremely favorable to deep sea life exists on the other
side of the black hole.  Quick somebody alert Dan Qualye.


 
Newsgroups: alt.destroy.the.earth
From: dasher@well.sf.ca.us (D Anton Sherwood)
Subject: black hole story?
Organization: Whole Earth 'Lectronic Link
Date: Sun, 23 Aug 1992 06:40:11 GMT


Seems to me I recently read a novel involving a black hole that was created
and accidentally dropped into Earth (it's estimated that Earth will collapse
within a few years).  Anybody know what it was?
-- 
D Anton Sherwood *\\* dasher@well.sf.ca.us *\\* +1 415 664 2229
Libertarian candidate for California Assembly, 12th district
From: rogue@ccs.northeastern.edu (Free Radical)
Newsgroups: alt.destroy.the.earth
Subject: Re: kill
Date: 22 Aug 92 00:55:04 GMT
Organization: Comp. Sci. @ NU

In article <1992Aug20.205422.15768@news.iastate.edu> pholland@iastate.edu 
(Paul J Hollander) writes:
>In article <1992Aug20.164039.25860@fcom.cc.utah.edu> PJF4081@cc.utah.edu 
>(that's mr. wonderful to you) writes:
>>humans are a selfish bunch. 
[...]
>That's what they said about the bison herds 150 years ago.  That's what they 
>said about the rain forests.  

I had no idea bison and trees were so selfish.  You learn someting new every
day. :-)

	RA
Xref: sparky alt.destroy.the.earth:532 alt.folklore.science:3106
From: carlf@panix.com (Carl Fink)
Newsgroups: alt.destroy.the.earth,alt.folklore.science
Subject: Re: Igniting the Atmosphere
Date: 24 Aug 92 00:48:14 GMT
Organization: PANIX Public Access Unix, NYC

In <YAMAUCHI.92Aug23125937@lenny.ces.cwru.edu> yamauchi@ces.cwru.edu (Brian Yamauchi) writes:

>I remember hearing that before the initial a-bomb tests, some people
>were worried that the heat of the explosion would ignite the
>atmosphere.  This leads to a couple of interesting questions:

>1) Is this just an urban legend that scared the ignorant, or were real
>scientists concerned about this?

They were worried.

>2) If scientists were concerned:

>	a) What chemical reaction did they expect to see?
>	b) Why was their theory wrong?  Were the temperatures
>	insufficiently high, or is the concept of igniting the
>	atmosphere unworkable at any temperature?
>--

  The reaction was N2 + 2O2 --> 2NO2, as I recall.  This reaction is
exothermic, but it turns out that it's not self-sustaining at high rates
in the Earth's atmosphere.
 
-- 
==============================================================================
Carl Fink          carlf@panix.com, C.FINK4(GEnie), or CF427620I@LIUVAX.BITNET
  "Nothing so needs reforming as other people's habits"  -  Mark Twain
From: dattier@ddsw1.mcs.com (David W. Tamkin)
Subject: Re: Can I Really? Huh? Can I?
Organization: Contributor Account at ddsw1, Chicago, Illinois  60657
Date: Sat, 15 Aug 1992 16:38:10 GMT
X-Disclaimer:  Material posted in this article is the sole responsibility of
                the poster and does not represent MCSNet or the system owners.

[Sorry for altering the Noozfroopz: header, but the newgroup for
alt.politics.kibo never reached any site I call.]

sramming@athena.mit.edu (Scott '~ibo' Ramming) wrote in
<1992Aug13.235612.8163@athena.mit.edu>:

| He might even buy you boots of your own!

Boots of our own skin?  Eeeeewwww.

David W. Tamkin   Box 59297   Northtown Station, Illinois  60659-0297
dattier@ddsw1.mcs.com    CompuServe: 73720,1570    MCI Mail: 426-1818
Newsgroups: alt.exploding.kibo,alt.imploding.kibo,alt.religion.kibology,alt.politics.kibo
From: sramming@athena.mit.edu (Scott '~ibo' Ramming)
Subject: Can I Really? Huh? Can I?
Organization: Crinkly Red Appetizers
Date: Thu, 13 Aug 1992 23:56:12 GMT

Kibo said he'd buy me some pork sung if I posted to all his groups. And I
could try on his boots. Just imagine what he'd do for you if you vote for
him! He might even buy you boots of your own! Made of authentic pig skin
(deep fried of course)!

~ibo

--
the nonibo -ibo
M. Scott Ramming  
305 Memorial Dr, Room 615A, Cambridge MA 02139
(617) 225-9887 [home]  266-0500 [office] 253-7942 [other office]
Newsgroups: alt.exploding.kibo,alt.imploding.kibo,alt.slack,alt.religion.kibology
From: B1FF@HOMELEZZ.NOW.S1NS.K1BO.K1CKT.ME.OUT (B1FF)
Subject: I graciously decline (was vulgar words)
Organization: Columbia University Center for Telecommunications Research
Date: Thu, 20 Aug 1992 02:16:03 GMT
X-Posted-From: husc9.harvard.edu
X-Posted-Through: sol.ctr.columbia.edu


In a previous article, pbreton@asylum.UUCP (Peter Breton) says:

>First of all, this is a serious post. My compulsion should in no way affect
>[M1NDLEZZ DR1VL DEELEETD]
>When I think of BIFF for Preident, I TTHINK ITZ REELLY KO0L DO0D!!!!

1F PEEP0L L1KE U R GONNA WANT ME 4 PREZIDENT
THEN 1 D0NT WANT THEE J0B

GET A L1FE

B1FF
--
B1FF@HOMELEZZ.NOW.S1NS.K1BO.K1CKT.ME.OUT
LOSST MY COMPUSERV CUZ 1 C00DNT PAY
Xref: sparky alt.exploding.kibo:570 alt.imploding.kibo:19 alt.slack:2314 alt.religion.kibology:3559
From: pbreton@asylum.UUCP (Peter Breton)
Newsgroups: alt.exploding.kibo,alt.imploding.kibo,alt.slack,alt.religion.kibology
Subject: Fuck fuck fuck titties (tourette's syndrome)
Keywords: fuck titties tourette's kibo
Date: 20 Aug 92 00:54:17 GMT
Followup-To: alt.exploding.kibo
Organization: Epilogue Technology Corp.

First of all, this is a serious post. My compulsion should in no way affect
your opinion of FUCK FUCK SUCK ME what I have to say. I consider myself politically active PENIS MY PENIS SUCK IT NOWWWWWW and I think that I have a lot to say about the candidates. But why should I? FUCK ASSHOLE LICK MY MOTHER EATS JISM!!!!!!

I feel much better now. KIBO FUCKS WEASLES! I MEAN IT! THIS ISN'T THE TOURETTES! THIS IS MUST ME BEING EXCITED! ALL CAPS! CAPS! TITIES! BIF

When I think of Bill Clinton on the bus I think of KIBO AND HILARY AND A 
JAR OF KY JELLY!!!! traditional family values!!??! TIPPER AND AXL ROSE 
(an anagram of ORAL SEX!!!) HAVING UNSAFE SEX WITH A HAITAN/GERMAN SHEPHERD!!!
When I think of George Bush I HAVE REALLY BAD GREEN DIARRHEA NO SHI'ITE!!!
I see a kinder, gentler ENEMA!! Body temperature, with the comfort tip! 
When I think of Kibo for President I TOUCH MYSELF. I HAVE PURE, REICHIAN ORGASMS THAT ATTRACT UFOS!!! MY PENIS! HELP ME, SPOCK! A VULCAN WOULD NEVER CRY OUT SO!! BUT THERE IT IS!

Whew! Do I feel better. Just wanted to get that off my chest. AND OUT OF MY TESTICLES! 



When I think of BIFF for Preident, I TTHINK ITZ REELLY KO0L DO0D!!!!


Newsgroups: alt.fractals
From: slime@mits.mdata.fi (Sam Laur)
Subject: MiniFrac 3.01
Summary: small fractal programs  
Keywords: fractal VGA assembly small 
Organization: Rhombic dodecahedron  
Date: Thu, 20 Aug 1992 05:29:27 GMT

Hello. I have made a small fractal program with assembly language for
PC-compatibles using 386 or higher processors. It also needs a VGA
display, as it uses only the 320*200*256 screen. But it is 1573 bytes
long with 10 different fractal types and the source is included.
I have also made a 134-byte long program which just throws the M-set
on screen, and it works on 8088, too. But I don't know where to post/send
them. Could anybody suggest anything? 
-- 
---
 Sam Laur, slime@mits.mdata.fi
From: phillips@swanee.ee.uwa.oz.au (Christopher Phillips)
Newsgroups: alt.fractals
Subject: Re: MiniFra5.com
Date: 22 Aug 92 11:09:01 GMT
Organization: Elec Eng, Univ of Western Australia

slime@mits.mdata.fi (Sam Laur) writes:

>Due to several requests, I'm posting this 134-byte Mandelbrot program for
>PC (8088 is OK) with VGA. No zooming, sorry - the 16-bit integer dynamic
>range is simply too small for that!

What divisor are you using for the fixed point?  About 8 bits to get you
pixel position, and 2 bits to increase range upto +-8 to prevent overflow
errors still leaves 5 or 6 zoom bits doesn't it?



--
Christopher Jam	__________________________________________________
'Another day, another try.  But remember, SHOOT OR DIE!' -turrican
phillips@swanee.ee.uwa.oz.au		c64 forever!!!!
------------------------------------------------------------------
Newsgroups: alt.fractals
From: ramos@engr.latech.edu (Alexandre Ramos)
Subject: Is there a FAQ?
Reply-To: ramos@engr.latech.edu
Organization: Louisiana Tech University
Date: Wed, 12 Aug 1992 17:46:50 GMT

This is the first time I'm reading this newsgroup and I have a whole lot of questions.
Can anybody tell me if there is a 'Frequently Asked Questions' floating around? Weekly? Monthly maybe? Please e-mail it if you have one.

Thanks a lot.


-------------------------------------------------------------------
Alex Ramos  - ramos@engr.latech.edu
              Electrical Engineering, Louisiana Tech University 
-------------------------------------------------------------------
"          Experts know too much about the limits of the 
        possible to fully understand what naive users expect      "

Xref: sparky alt.fractals:1327 comp.theory.dynamic-sys:270 sci.econ:6847 sci.geo.fluids:313 sci.math.stat:1661 sci.math:10303 sci.physics:12900 sci.astro:8957 sci.bio:2933 comp.dsp:1950 sci.med:15841
From: john@mullet.gu.uwa.edu.au (John West)
Subject: Re: MiniFra5.com
Organization: University Computer Club --- Perth, Western Australia
Date: Sat, 22 Aug 1992 13:42:42 GMT

>>Due to several requests, I'm posting this 134-byte Mandelbrot program for
>>PC (8088 is OK) with VGA. No zooming, sorry - the 16-bit integer dynamic
>>range is simply too small for that!

>What divisor are you using for the fixed point?  About 8 bits to get you
>pixel position, and 2 bits to increase range upto +-8 to prevent overflow
>errors still leaves 5 or 6 zoom bits doesn't it?

Perhaps he means
'the 134 bytes is simply too small for that!'

And when do we see your real-time Mandelbrot zoom/pan/rotate on the 64?

John West
-- 
For the humour impaired: Insert a :-) after every third word
Newsgroups: alt.fractals,comp.theory.dynamic-sys,sci.econ,sci.geo.fluids,sci.math.stat,sci.math,sci.physics,sci.astro,sci.bio,comp.dsp
From: doug@netcom.com (Doug Merritt)
Subject: Re: Modeling San Francisco Bay
Date: Tue, 18 Aug 92 19:46:11 GMT
Organization: Netcom - Online Communication Services  (408 241-9760 guest) 
Distribution: na

In article <25541@dog.ee.lbl.gov> sichase@csa2.lbl.gov writes:
>I would call the people at the SF Bay Model, somewhere in Marin.  It's a huge,
>state of the art scale model of the hydrodynamics of the Bay.

In Sausalito, to be precise. Call information, 411-555-1212.
If more obvious listings fail, ask their Chamber of Commerce.

	Doug
-- 
Doug Merritt	Preferred: doug@netcom.com   (or: doug@eris.berkeley.edu)
Professional Wild-eyed Visionary	Member, Crusaders for a Better Tomorrow
Newsgroups: alt.fractals
From: cliff@watson.ibm.com (cliff)
Subject: Cantor Cheese, Ikeda Atractor, etc.
Date: Mon, 17 Aug 1992 13:40:08 GMT
Disclaimer: This posting represents the poster's views, not necessarily those of IBM
Organization: A

The book "Computers and the Imagination" has the following chapters on fractals:	

1. Visualizing Cantor Cheese Construction
2. Million-Point Sculptures
3. Continued Roots in the Complex Plane
4. A Pattern Based on the Mandelbrot Set
5. Infininte Triangular Arrays
6. The Lute of Pythagoras
7. Turning the Universe Inside Out
8. The Ikeda Attractor

For your interest, here is some pseudocode for a variation on the traditional
M-set algorithm, leading to an interesting image described in the book:

ALGORITHM: Mandelbrot Set Variant
1 for x between -2 and 2 by 0.1 do
2   for y between -2 and 2 by 0.1 do
3        cr = x; ci=y; rx=0; ry=0;
4        for k between 0 and 60 do
5           newx = rx*rx - ry*ry +  cr;
6           ry = 2*rx*ry  + ci;
7           rx =newx; k = k + 1;
8           if (( (rx-cr) + (ry-ci)) > 4)  break;
9        end  /* for */
10         /* plot dot if even number of iterations */
11        if ((k % 2 ) == 0 ) PlotDotAt(x,y)
12    end
13  end

Newsgroups: alt.fractals
From: pwh@bradley.bradley.edu (Pete Hartman)
Subject: Re: ARG! How to get fractint
Organization: Bradley University
Date: Fri, 14 Aug 92 18:32:13 GMT


I figured it out, but wouldn't have if I didn't have a copy of
Fractal Creations....You can modify fractint.cfg to add video
modes (or remove them) from the mode screen.  You have to know
what to put in the AX BX CX DX registers to get the desired mode,
and it helps if you can write to video RAM in a known way.

I was able to deduce from the manual for the VGA driver that I
needed AX to be 62 (hex), and I set the others to 0 and it worked.
The only problem is that it *doesn't* use an optimized method
to write to video ram, so I have to use the BIOS call, which is
EXTREMELY slow.  But I'm glad to have 1024x768x256 even at a slow
speed.....

The "how to" is in the help for fractint, but I didn't realize that
and wouldn't have looked there if I hadn't already seen something about
it in the book.  I'd recommend it highly, even though it costs $35 and
has an "antique" version of Fractint with it....
-- 
Pete Hartman		       Bradley University	pwh@bradley.bradley.edu
       There are three things that smell like fish.  One of them is fish.
                       The other two are growing on YOU!
From: cafer@etek.chalmers.se (Tommy Vaske)
Newsgroups: alt.fractals
Subject: mandelbrot 3d
Date: 15 Aug 92 11:11:52 GMT
Reply-To: cafer@etek.chalmers.se (Tommy Vaske)
Organization: Chalmers University of Technology, Gothenburg, SWEDEN

Does anybody know of a 3d fractal set, e.g. a 3d mandelbrot?
(And I don't mean the graphic presentations using heights
instead of colours - rather globes instead of circles, and
an "apple" instead of the main cardioid.)

Are there fractal sets in C^2? (Would be 4d, wouldn't they?)

--tommy 
*************************************************************
*       semper idem!        *     "O Frabjous Day!          * 
*  cafer@etek.chalmers.se   *      Callooh! Callay!"   -L.C.*
*************************************************************
Newsgroups: alt.fractals
From: bx304@cleveland.Freenet.Edu (Jeff Epler)
Subject: Re: program for mandelbrot set
Reply-To: bx304@cleveland.Freenet.Edu (Jeff Epler)
Organization: Case Western Reserve University, Cleveland, OH (USA)
Date: Tue, 18 Aug 92 16:07:07 GMT


In a previous article, robin@ruchem.ru.ac.za () says:

>Can anyone tell me where I can ftp a program to calculate and display the 
>mandelbrot set on and oldish IBMPC with 286/287 hardware and EGA screen?
>must be many of them out there!

You want the much-worshipped Fractint program.  

Ask Archie about 'frain172.zip' to find a copy FTPable near you.

-- 
|Jeff Epler               Additions Welcome           c(-8 ;-) >{8-) |
| :) (=( =-] (-= Celebrating the variety of faces =-> :^) {-= |-) (: |
|                                                   Lincoln, Nebraska|
Newsgroups: alt.fractals
From: lmitchel@nyx.cs.du.edu (lloyd mitchell)
Subject: Re: mandelbrot 3d
X-Disclaimer: Nyx is a public access Unix system run by the University
	of Denver for the Denver community.  The University has neither
	control over nor responsibility for the opinions of users.
Organization: Nyx, Public Access Unix at U. of Denver Math/CS dept.
Date: Sun, 16 Aug 92 13:00:55 GMT

cafer@etek.chalmers.se (Tommy Vaske) writes:
>Does anybody know of a 3d fractal set, e.g. a 3d mandelbrot?
>(And I don't mean the graphic presentations using heights
>instead of colours - rather globes instead of circles, and
>an "apple" instead of the main cardioid.)
>
>Are there fractal sets in C^2? (Would be 4d, wouldn't they?)
>
>--tommy 

There are fractals in the 4d realm of complex numbers, called the quaternions.
Basically, a quaternion Q = x + i*y + j*z + k*t, where i*i = j*j = k*k = -1,
and i*j = k = -j*i, j*k = i = -k*j, and k*i = j = - i*k.  3d slices of the 4d
Mandelbrot set (let the k part of c = 0) do reveal spheres instead of circular
disks.  Kind of a disappointment, really, to get these extra dimensions and 
not see something new and exciting (not that I've seen all of 4d fractal
space!  :-)

Kerry Mitchell
From: cafer@etek.chalmers.se (Tommy Vaske)
Newsgroups: alt.fractals
Subject: Yang-Lee Zeroes
Keywords: iteration fractal solution transition
Date: 18 Aug 92 20:10:38 GMT
Reply-To: cafer@etek.chalmers.se (Tommy Vaske)
Organization: Chalmers University of Technology, Gothenburg, SWEDEN

All tips on 3d fractals have been very helpful,
so thank you all.

While doing some research for a paper on fractals,
I hit the paragraph about Yang-Lee zeroes in _the_beauty_of_
fractals_. Maybe I'm not wizardious enough, but I felt the book
was very unclear there;

It was something about using Newton's (or was it N-Raphson's?)
method to solve a complex polynomial equation. Somehow, this
would resemble the clusters of atoms in different states, in
a sheet of some material in some transition state. (Magnetic,
nonmagnetic, fluid or firm (bad word choice, I know), etc.)

As I understood it, the distribution of singularities would 
somehow be especially important.

Exactly in what sence it would resemble said material, I felt
to be very unclear - and then again, I might just lack the
knowledge. Could anybody fill me in?

--tommy  
*************************************************************
*       semper idem!        *         On the Net,           * 
*  cafer@etek.chalmers.se   *    Nobody Hears You Scream... *
*************************************************************
Newsgroups: alt.fractals,comp.theory.dynamic-sys,sci.econ,sci.geo.fluids,sci.math.stat,sci.math,sci.physics,sci.astro,sci.bio,comp.dsp,sci.med
From: rcarter@gaudi.nas.nasa.gov (Russell L. Carter)
Subject: Modeling San Francisco Bay
Organization: NAS, NASA Ames Research Center, Moffett Field, CA
Date: Mon, 17 Aug 92 17:23:54 GMT

I'm looking for published research which deals with numerical simulations of
hydrodynamical models of San Francisco Bay.  I have references to a number
of papers by Ralph Cheng and Co. at the USGS in Menlo Park; are there
any others?

Russell
Newsgroups: alt.fractals,comp.theory.dynamic-sys
From: arnemo@eik.ii.uib.no (Arne Olav Morken)
Subject: ftp sites for chaos articles?
Organization: Institute of Informatics, University of Bergen, Norway
Date: Tue, 18 Aug 92 20:39:25 GMT

Are there any ftp sites containing articles on chaos theory, 
dynamical systems and fractals ?
If so, where ? :-)

Arne

-----------------------------------------------------------------------
Arne O. Morken        Ph:  +47 5 54 41 99 (work)    HiB
arnemo@eik.ii.uib.no       +47 5 20 15 48 (home)    Thor Mohlensgt. 55
"Hi there!", - Eddie  Fax: +47 5 54 41 99           5020 BERGEN, Norway
Newsgroups: alt.fractals
From: man@prip5 (Michael A. Neuhauser)
Subject: Re: mandelbrot 3d
Organization: Technical University of Vienna
Date: Mon, 17 Aug 1992 17:21:36 GMT

In article <1992Aug15.111152.18301@etek.chalmers.se>
cafer@etek.chalmers.se (Tommy Vaske) writes:
>Does anybody know of a 3d fractal set, e.g. a 3d mandelbrot?
>(And I don't mean the graphic presentations using heights
>instead of colours - rather globes instead of circles, and
>an "apple" instead of the main cardioid.)

One can specify an Iterated Function System in any number of
dimensions, e.g. in 3d. An example is the famous fern of
Michael Barnsley, extented to 3d as shown on the inside of the
cover of his book `Fractals everywhere'.

Of course are fractals generated with IFS of linear type
(when using affine transformations, as mostly done), not
like the Mandelbrot-set that is non-linear.

-- 
Michael A. Neuhauser   Dept. for Pattern Recoginition and Image Processing
man@prip.tuwien.ac.at  Technical Univerity of Vienna, Treitlstr. 3/183/2
                       A-1040 Vienna AUSTRIA
Newsgroups: alt.fractals
From: slime@mits.mdata.fi (Sam Laur)
Subject: Re: MiniFra5.com
Organization: Microdata Oy, Helsinki, Finland
Date: Sat, 22 Aug 1992 23:08:18 GMT

In article <phillips.714481741@infs3> phillips@swanee.ee.uwa.oz.au (Christopher Phillips) writes:

>What divisor are you using for the fixed point?  About 8 bits to get you
>pixel position, and 2 bits to increase range upto +-8 to prevent overflow
>errors still leaves 5 or 6 zoom bits doesn't it?

In fact you'd need 9 bits for the position and 4 bits for preventing
overflow (3 bits = 8, plus the sign bit). That already means 13 bits
with 3 bits left - I admit that I'm not so good at the mathematical
side! But at this moment, the smallest version has only two bits with
which to zoom in - I guess it is because I'm too lazy to implement
the appropriate shift in the multiplications.

-- 
---
 Sam Laur, slime@mits.mdata.fi
Newsgroups: alt.fractals
From: bx304@cleveland.Freenet.Edu (Jeff Epler)
Subject: Re: mandelbrot 3d
Reply-To: bx304@cleveland.Freenet.Edu (Jeff Epler)
Organization: Case Western Reserve University, Cleveland, OH (USA)
Date: Sat, 15 Aug 92 15:38:54 GMT


In a previous article, cafer@etek.chalmers.se (Tommy Vaske) says:

>Does anybody know of a 3d fractal set, e.g. a 3d mandelbrot?
>(And I don't mean the graphic presentations using heights
>instead of colours - rather globes instead of circles, and
>an "apple" instead of the main cardioid.)
>
>Are there fractal sets in C^2? (Would be 4d, wouldn't they?)

Consider the 'vanilla' Julia and Mandelbrot sets:
 
 Z(n+1)=Z(n)**2+C

The difference is that in one, Z changes and in the other C.  

Now, what if *both* Z and C varied? This makes four dimensions 
(Real Z, real C, imag Z, imag C).

Fractint has a fractal called 'julibrot' that displays a 3-d slice of
this 4-d fractal.

It looks quite neat.  (Rather an eye-bender, though.)
-- 
|Jeff Epler               Additions Welcome           c(-8 ;-) >{8-) |
| :) (=( =-] (-= Celebrating the variety of faces =-> :^) {-= |-) (: |
|                                                   Lincoln, Nebraska|