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fractint-digest      Wednesday, January 13 1999      Volume 01 : Number 352




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

Date: Sun, 10 Jan 1999 09:09:02 EST
From: [e-mail]
Subject: (fractint) 6 pars (jm04)

    Good Morning,

       I keep wandering back to this formula quite often, so here's a few
recent pics from last nights escapade.

       Enjoy~

 Jim Weaver

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


jm4n003.gif        { ; image(c)1999 JimWeaver   jm_04             t=02m23s
  reset=1960 type=formula formulafile=fractint.frm formulaname=jm_04
  function=ident/recip/acosh/cosxx passes=t
  center-mag=0.629007/-2.22045e-014/0.2869595/1/-90 params=25/0
  float=y maxiter=75 inside=bof60
  colors=000dOqlYlsff0o`000<14>zo`<15>000000<13>J9`KAcJDc<14>0z`<14>Zky`jz\
  aky<13>rudsvcrsd<14>WFx<15>zo`<15>0F0MMU<13>_mx`hz<30>CHS00L012<12>AFSBG\
  UAFS<14>0007Mw<4>e00<4>zz0<4>UFw00`<5>`oz<4>YFw
  }

jm4n004.gif        { ; image(c)1999 JimWeaver   jm_04             t=04m53s
  reset=1960 type=formula formulafile=fractint.frm formulaname=jm_04
  function=ident/recip/acosh/cosxx passes=t
  center-mag=0.57205/-2.53131e-014/0.8428086/1/-90 params=25/0 float=y
  maxiter=75 inside=bof60
  colors=000dOqlYlsff0o`000<14>zo`<15>000000<13>J9`KAcJDc<14>0z`<14>Zky`jz\
  aky<13>rudsvcrsd<14>WFx<15>zo`<15>0F0MMU<13>_mx`hz<30>CHS00L012<12>AFSBG\
  UAFS<14>0007Mw<4>e00<4>zz0<4>UFw00`<5>`oz<4>YFw
  }


jm4n007.gif        { ; image(c)1999 JimWeaver   jm_04             t=01m01s
  reset=1960 type=formula formulafile=fractint.frm formulaname=jm_04
  function=conj/recip/acos/cosxx passes=t
  center-mag=0.629007/-3.73035e-014/0.1809846/1/-90 params=25/0
  float=y maxiter=75 inside=bof60
  colors=000wwwwwv<3>ttpssorqm<10>c`Wb_U_WR<14>G92E70E70<12>HB0HB0HB0IC1JD\
  2KE3<22>khYmj_mj_<34>SQKRPKQPJPOI<29>665654854<12>YH4_I3_I3ZJ4ZJ5YK6<2>Z\
  O9_PA_PA<10>_ZK<9>342<18>7PN8RP7QP<7>2KO1JO0IN0IM<11>0BD<15>stt
  }

jm4n009.gif        { ; image(c)1999 JimWeaver   jm_04             t=00m46s
  reset=1960 type=formula formulafile=fractint.frm formulaname=jm_04
  function=ident/recip/acos/tan passes=t
  center-mag=-9.76996e-015/-1.43468/0.1167788 params=39/0 float=y
  maxiter=25 inside=bof60 periodicity=0
  colors=0000BE0BD<16>wwwwwv<3>ttpssorqm<10>c`Wb_U_WR<14>G92E70E70<12>HB0H\
  B0HB0IC1JD2KE3<22>khYmj_mj_<34>SQKRPKQPJPOI<29>665654854<12>YH4_I3_I3ZJ4\
  ZJ5YK6<2>ZO9_PA_PA<10>_ZK<9>342<18>7PN8RP7QP<7>2KO1JO0IN0IM<9>0CF
  }

jm4n010.gif        { ; image(c)1999 JimWeaver   jm_04             t=00m33s
  reset=1960 type=formula formulafile=fractint.frm formulaname=jm_04
  function=ident/recip/acos/tanh passes=t
  center-mag=-2.66454e-014/0.0922157/0.1632061 params=39/0 float=y
  maxiter=25 inside=bof60 periodicity=0
  colors=0000BE0BD<16>wwwwwv<3>ttpssorqm<10>c`Wb_U_WR<14>G92E70E70<12>HB0H\
  B0HB0IC1JD2KE3<22>khYmj_mj_<34>SQKRPKQPJPOI<29>665654854<12>YH4_I3_I3ZJ4\
  ZJ5YK6<2>ZO9_PA_PA<10>_ZK<9>342<18>7PN8RP7QP<7>2KO1JO0IN0IM<9>0CF
  }

jm4n011.gif        { ; image(c)1999 JimWeaver   jm_04             t=00m14s
  reset=1960 type=formula formulafile=fractint.frm formulaname=jm_04
  function=ident/recip/acos/cotanh passes=t
  center-mag=-4.26326e-014/0.0922157/0.0830941 params=39/0 float=y
  maxiter=25 inside=bof60 periodicity=0
  colors=0000BE0BD<16>wwwwwv<3>ttpssorqm<10>c`Wb_U_WR<14>G92E70E70<12>HB0H\
  B0HB0IC1JD2KE3<22>khYmj_mj_<34>SQKRPKQPJPOI<29>665654854<12>YH4_I3_I3ZJ4\
  ZJ5YK6<2>ZO9_PA_PA<10>_ZK<9>342<18>7PN8RP7QP<7>2KO1JO0IN0IM<9>0CF
  }



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

Date: Mon, 11 Jan 1999 00:32:47 +0100
From: Guy Marson <[e-mail]>
Subject: Re: (fractint) 6 pars (jm04)

At 09:09 10.01.1999 EST, you wrote:
>
>    Good Morning,
>
>       I keep wandering back to this formula quite often, so here's a few
>recent pics from last nights escapade.

Hi Jim,

got the .frm on another (mostly removed) HD.. so what's the jm_04.frm?

>
>       Enjoy~
>
> Jim Weaver
>

cannot enjoy

Guy



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

Date: Sun, 10 Jan 1999 21:22:52 -0500
From: Paul DeCelle <[e-mail]>
Subject: (fractint) Two New pars

Hi, Everyone--

Here are a couple pars based on Jim Weaver's "jm_04" postings (Thanks,
Jim!).  "Alien Mystic" has to be one of the better "alien being"
fractals I've seen, lately.  Worth the 20 minute wait, IMHO..  "In The
Smoke Ring" - Title inspired by Larry Niven.  Enjoy!

Regards, Paul DeCelle


In_The_Smoke_Ring  { ; From Jim Weaver's jm_04 formula
                     ; Paul DeCelle 1/10/99
reset=1960 type=formula formulafile=fractint.frm formulaname=jm_04
function=ident/recip/acosh/cosxx passes=3
center-mag=-1.31326/-0.932677/3.928333/1.137/-124.423/46.299
params=25/0 float=y maxiter=75 inside=bof60
colors=000<4>0kO<13>0L30J10I1<7>091081181<7>C91EA1EA1<15>OO6MR9KUBJXEJYE\
<20>3w_2ya4xc<5>Hnt<6>9msEmr<2>GmrHmsImsJntKnt<7>XnlYokYoj<27>KRC<4>0F0<\
73>252343454<27>XZvZ`xZMxYFw
}

Alien_Mystic       { ; From Jim Weaver's jm_04 frm  t=0:19:05 P60
                     ; One of the best alien fractals I've seen
                     ; Paul DeCelle 1/10/99
reset=1960 type=formula formulafile=fractint.frm formulaname=jm_04
function=conj/recip/acos/sinh passes=3
center-mag=0.00947825/0.604924/1.052236 params=25/0 float=y
maxiter=75 inside=bof60
colors=000zzz<5>qqnooknnj<3>jieihdhfbge`<2>c`Wb_U_WR<14>G92E70E70<13>HB0\
HB0IC1JD2<21>ieVjgXkhYmj_mj_li_<32>TRKSQKRPKQPJPOI<30>654<13>YH4_I3_I3<2\
>YK6YL7ZN8<13>_ZK<9>342<16>7NL7OM7PN8RP7QP6PP<5>3LO2KO1JO0IN0IM<11>0BD<1\
5>stt
}

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

Date: Sun, 10 Jan 1999 20:59:28 -0500
From: "Jason Hine" <[e-mail]>
Subject: (fractint) Re: Mona's Bad Hair Day

Chris resmirked:

>But to distinguish it from the original by Leonardo Babe, perhaps it
>should
>
>be re-named either:
>
>"Mona Lisa on a Bad Hair Day", or:
>
>"Shania Twain"
>

Heh heh... hey, I don't decide what they look like, I just name 'em.  To tie in
with another recent thread, how about "Zircon-Encrusted Tweezers"?  And that's
probably as far as either of these threads should go....

Cheers!
Jason Hine


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

Date: Mon, 11 Jan 1999 11:15:49 -0800 (PST)
From: noel giffin <[e-mail]>
Subject: Re: (fractint) Resource List

    Hi Janet,

    Thanks for your work on updating the fractint resource list. I'm
sorry to hear that you won't be able to maintain it. I hope you have found
new and exciting things to keep you busy. It was a very useful resource.
I found it an extremely  valuable tool in keeping up with the constant
flood of fractint information.

I'm glad Jay has found a way to maintain it.

    Regards,
    Noel Giffin


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

Date: Mon, 11 Jan 1999 18:03:11 EST
From: [e-mail]
Subject: (fractint) Video output question

Hi, I'm new to this list and actually still quite a beginner when it comes to
fracint.

My question is:
 Is there any way I can send the images from my monitor while in fractint out
to a VCR or TV.  My computer has a TV out jack which is, if I'm not mistaken,
an S-Video jack.  I tried hooking this up to my VCR and TV neither of which
produced any images.  I'm thinking either this is *not* possible, or I need
some special video card or software.

I can't believe, though, that I'm the only person who has tried to do this.
Think of how amazing it would look on a 50" TV screen.

My main reason for wanting to do this is:   I play in a band, and one of the
venues that we often perform at has a big screen TV right behind where we
play.  And I want, somehow, to have the images I've created with fractint be
up on the screen while we perform.  I think it would add a lot to the whole
effect of our performance.

Any help would be appreciated.

Dan McFarland
[e-mail]
http://members.xoom.com/sinch1/index.htm

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

Date: Mon, 11 Jan 1999 19:39:37 -0500 (EST)
From: Ian Kaplan <[e-mail]>
Subject: Re: (fractint) Video output question

> My question is:
>  Is there any way I can send the images from my monitor while in fractint out
> to a VCR or TV.  My computer has a TV out jack which is, if I'm not mistaken,
> an S-Video jack.  I tried hooking this up to my VCR and TV neither of which
> produced any images.  I'm thinking either this is *not* possible, or I need
> some special video card or software.

You'd need... ponders... well, if you're running fractint from within
Win95, then I'm not sure I know enough about how Win95 DOSmode works to
tell you. If you're running fractint by booting to DOS, you might be able
to do this with some sort of DOS driver for your card, if the manufacturer
has bothered to write such a thing. What video card are you using?


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

Date: Mon, 11 Jan 1999 20:08:00 -0500
From: Paul DeCelle <[e-mail]>
Subject: (fractint) Web Site Update

Hi, Everyone--

I've finally added some new images to my Fractint site (Had to find more
server space).  List subscribers will probably seen most of the new ones
from recent par postings, though.  Anyway, go to
http://members.xoom.com/PaulDeCelle/welcome.html and pick "Collection 8"
for the newest material.

Regards, Paul DeCelle

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

Date: Tue, 12 Jan 1999 04:53:13 EST
From: [e-mail]
Subject: Re: (fractint) Two New pars

               Nice alien Paul!

        Just so no one gets the wrong impression I want to state that the
jm_04 formula isn't mine, I only borrow it to make fractal art as I do ALL my
images. I most likely will never claim ownership to a formula because I don't
understand them even in the simplest form.<G> I used to think that if I knew
how a formula worked and could make my own that I could make better pics, but
that's not necessarily the case in some instances.  And besides, I'm having
enough headaches learning how to use all these programs I recently
d/l'ed....Ultra Fractal, Flarium24, Iterations, and Tierazon.  BTW, this here
UltraFractal deserves some more close inspection....I like the looks of it so
far.
   How about something in the future like....Ultra Fractint!?  There's an
idea.

         Thanks~

  Jim Weaver



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

Date: Tue, 12 Jan 1999 16:57:45 EST
From: [e-mail]
Subject: Re: (fractint) Video output question

In a message dated 1/11/99 4:41:49 PM Pacific Standard Time,
[e-mail] writes:

<< > My question is:
 >  Is there any way I can send the images from my monitor while in fractint
out
 > to a VCR or TV.  My computer has a TV out jack which is, if I'm not
mistaken,
 > an S-Video jack.  I tried hooking this up to my VCR and TV neither of which
 > produced any images.  I'm thinking either this is *not* possible, or I need
 > some special video card or software.

 You'd need... ponders... well, if you're running fractint from within
 Win95, then I'm not sure I know enough about how Win95 DOSmode works to
 tell you. If you're running fractint by booting to DOS, you might be able
 to do this with some sort of DOS driver for your card, if the manufacturer
 has bothered to write such a thing. What video card are you using?
  >>

Well, I think I've answered my own question.
The card I'm using is an ATI Rage graphics accellerator.  And if you go into
the display options on your control panel there's a page that enables the
output device you are using.  Once you have the TV hooked up, you can check
"television" and whatever is on your monitor will show up on the TV screen.
Unfortunately, the TV doesn't come close to reproducing the colors on the
monitor.  But, for what I'm using it for it should be OK.


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

Date: Tue, 12 Jan 1999 23:44:28 -0800
From: Dave Hershey <[e-mail]>
Subject: (fractint) Terrian Generating Algorythm

I'm working on a routine in VB 6.0 for generating a random maps.  =
However, I'm having a little trouble with the coastlines.  Either they =
come out too chaotic, or too bland.  I'm also getting some strange =
textures where there should be none.  I've been looking high and low for =
a simple (yet concise) explanation of the plasma fractal algorythm that =
Fractint uses, which has a very nice balance of smooth coastlines and =
interesting features.  Can anyone within the reach of this email help?  =
I'd be forever grateful.

Dave Hershey
http://www.blarg.net/~rain/index.html

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

Date: Wed, 13 Jan 1999 08:59:19 -0000
From: "Les St Clair" <[e-mail]>
Subject: Re: (fractint) Next version of Fractint

Hi Matthew,

>For me, I still don't know which is best.. Ultra Fractal 2.0 or Fractint...
>If Fractint could add True color support and a couple of other things (such
>as anti-analysis) then I'd probably stick with it. However, if Ultra Fractal
>just added Fractint's "Deep Zooming" (arbitrary precision), then I'd move
>over to UF instead... At the moment, I don't know which to get going with :(

Why not enjoy the best of both worlds?

Fractint remains a superlative program, and it's completely free - so why give
it up at all?

Ultra-Fractal, on the other hand, is a state of the art imaging program with
almost total compatibility with Fractint.

The great fun is that you can re-work your favourite Fractint images, converting
them to true color, adding layers, manipulating layer transparency with the
alpha-channel etc... The possibilities are literally endless!

I've just posted a small selection of my Fractint images, re-worked in UF, to
the Ultra Fractal mail list if you want to take a look.

cheers, Les




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

Date: Wed, 13 Jan 1999 11:02:56 GMT
From: "Andrew Coppin" <[e-mail]>
Subject: (fractint) The Last Port

How manny platforms has FractInt been ported to? Why doesn't someone
port it to Java? Then it would run (admitadly not very fast) on
almost every modern platform.

By the way, has anyone seen somewhere that I can download the Amiga
version of FractInt from?
Nam et ipsa scientia potestus est!
Andrew Orphi Coppin
DMU MK.

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

Date: Wed, 13 Jan 1999 09:08:28 -0500
From: Barry N Merenoff <[e-mail]>
Subject: Re: (fractint) Terrain Generating Algorithm

As far as I can tell from the source code, the old algorithm for Plasma i=
s
a recursive algorithm that defines the colors of the edge midpoints and
center of a rectangle based on the colors of its corners. The original
rectangle is the entire screen, and its corners are colored randomly. The=
n
the color of the midpoint of each edge is the average of the colors of th=
e
endpoints plus a random variable (presumably with mean zero) times the
length of the edge. The color of the center is the average of the colors =
of
the edge midpoints. (Note that the color values are much more precise tha=
n
the actual palette, so as to allow them to be averaged and displaced
fairly.) I can't figure out what the new algorithm does.

Note: This algorithm is technically incorrect because it is stratified
along the dyadic grid (Mandelbrot FGN p258). A more realistic model of a
terrain can be obtained by adding Weierstrass functions projected along
various directions. Note, however, that there must be a large number of
such functions. Otherwise, a "striping" effect will be seen along these
directions.

Collin Merenoff

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Date: Wed, 13 Jan 1999 08:47:26 -0800
From: Dave Hershey <[e-mail]>
Subject: RE: (fractint) Terrain Generating Algorithm

- ------ =_NextPart_000_01BE3ED1.5973C980
Content-Type: text/plain; charset="us-ascii"
Content-Transfer-Encoding: quoted-printable

So we would start with this (where x,y are cartesian coordinates and p =
is the color value at that point):

p(x1,y2)        p(x,y2)        p(x2,y2)

p(x1,y)        p(x,y)        p(x2,y)

p(x1,y1)        p(x,y1)        p(x2,y1)

And then generate the mid points between these lines as so:

p(x,y1) =3D [ p(x1,y1) + p(x2,y1) ] / 2
p(x1,y) =3D [ p(x1,y1) + p(x1,y2) ] / 2
p(x,y2) =3D [ p(x1,y2) + p(x2,y2) ] / 2
p(x2,y) =3D [ p(x2,y1) + p(x2,y2) ] / 2

Then each edge point gets modified up or down by a random amount.  The =
mean of zero means that the random number has an equal chance of being =
as positive as negative?  Hello!  Part that I was missing!  Multiply the =
edge midpoint by the length of the edge:

p(x,y1) =3D [ p(x,y1) + rand(10 to -10) ] * [ x2 - x1 ]
p(x1,y) =3D [ p(x1,y) + rand(10 to -10) ] * [ y2 - y1 ]
p(x,y2) =3D [ p(x,y2) + rand(10 to -10) ] * [ x2 - x1 ]
p(x2,y) =3D [ p(x2,y) + rand(10 to -10) ] * [ y2 - y1 ]

Then the center point:

p(x,y) =3D [ p(x,y1) + p(x1,y) + p(x,y2) + p(x2,y) ] / 4

What happens if (when) p goes beyond the 255 palette limit?  Or, am I =
taking the average too soon for the edge mid points?

This is where my ignorance shines through, I'm afraid, but what is a =
Weierstrass function?

- ----------
From:     Barry N Merenoff
Sent:     Wednesday, January 13, 1999 6:08 AM
To:     INTERNET:[e-mail]
Subject:     Re: (fractint) Terrain Generating Algorithm

As far as I can tell from the source code, the old algorithm for Plasma =
is
a recursive algorithm that defines the colors of the edge midpoints and
center of a rectangle based on the colors of its corners. The original
rectangle is the entire screen, and its corners are colored randomly. =
Then
the color of the midpoint of each edge is the average of the colors of =
the
endpoints plus a random variable (presumably with mean zero) times the
length of the edge. The color of the center is the average of the colors =
of
the edge midpoints. (Note that the color values are much more precise =
than
the actual palette, so as to allow them to be averaged and displaced
fairly.) I can't figure out what the new algorithm does.

Note: This algorithm is technically incorrect because it is stratified
along the dyadic grid (Mandelbrot FGN p258). A more realistic model of a
terrain can be obtained by adding Weierstrass functions projected along
various directions. Note, however, that there must be a large number of
such functions. Otherwise, a "striping" effect will be seen along these
directions.

Collin Merenoff

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- ------ =_NextPart_000_01BE3ED1.5973C980--


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Date: Wed, 13 Jan 1999 11:14:09 -0600
From: "Damien M. Jones" <[e-mail]>
Subject: RE: (fractint) Terrain Generating Algorithm

Dave,

   a    b    c

   d    e    f

   g    h    i

Given this grid of points, with a, c, g, and i already defined, we want to
define the remaining points (b, d, e, f, h) in a way that generates fractal
terrain. What you suggested is to generate the edge points first, then the
center point. In fact, when I tried to adapt the triangular
midpoint-displacement algorithm to a square grid, I tried this too, but in
fact it's the wrong way to do it. You should generate the center point
first, then the edge points.

The problem with doing the edges first is that it increases the resolution
of the grid unevenly. When doing midpoint-displacement on a triangular
grid, you can increase resolution along each of your grid axes
independently; it doesn't matter what order you do them in. When you're
done, you have a new triangular grid with twice as many points. With a
square grid, though, you can't do it all in one step; you have to do it in
two. And if you do the edges first, you're generating one set of points by
averaging only two neighbors (the edges) and then another set of points by
averaging four neighbors (the centers). This doesn't look right.

By doing the centers first, you are doing two steps, but now they're
*equal*. The first pass does the centers; average the four corners, then
displace by some random amount. At the end of this intermediate step you
have a new, complete square grid at double the resolution of the previous
one--rotated forty-five degrees. Now you want to do the edges, but notice
with the new grid you get after doing the centers, the edge points that
still need to be done have become the centers of the new, forty-five degree
grid. So you repeat the process of averaging four corners for each new
point--but two of those corners will be new points created in the previous
step.

This makes each half-step totally equal and produces far better results. I
think FractInt does the edge points first, but I haven't checked the code
myself, so I can't be sure.

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: Wed, 13 Jan 1999 15:03:27 -0300
From: "Alejandro Kainer" <[e-mail]>
Subject: RE: (fractint) Terrain Generating Algorithm

Did I miss something? I've just received this from Dave, but I ignore whe=
n
it started. Please someone tell me what was first.

Thank you,

Ale

- -----Original Message-----
De: Dave Hershey <[e-mail]>
Para: '[e-mail]' <[e-mail]>
CC: 'a-' <[e-mail]>
Fecha: Mi=E9rcoles 13 de Enero de 1999 13:50
Asunto: RE: (fractint) Terrain Generating Algorithm


So we would start with this (where x,y are cartesian coordinates and p is
the color value at that point):

p(x1,y2) p(x,y2) p(x2,y2)

p(x1,y) p(x,y) p(x2,y)

p(x1,y1) p(x,y1) p(x2,y1)

And then generate the mid points between these lines as so:

p(x,y1) =3D [ p(x1,y1) + p(x2,y1) ] / 2
p(x1,y) =3D [ p(x1,y1) + p(x1,y2) ] / 2
p(x,y2) =3D [ p(x1,y2) + p(x2,y2) ] / 2
p(x2,y) =3D [ p(x2,y1) + p(x2,y2) ] / 2

Then each edge point gets modified up or down by a random amount.  The me=
an
of zero means that the random number has an equal chance of being as
positive as negative?  Hello!  Part that I was missing!  Multiply the edg=
e
midpoint by the length of the edge:

p(x,y1) =3D [ p(x,y1) + rand(10 to -10) ] * [ x2 - x1 ]
p(x1,y) =3D [ p(x1,y) + rand(10 to -10) ] * [ y2 - y1 ]
p(x,y2) =3D [ p(x,y2) + rand(10 to -10) ] * [ x2 - x1 ]
p(x2,y) =3D [ p(x2,y) + rand(10 to -10) ] * [ y2 - y1 ]

Then the center point:

p(x,y) =3D [ p(x,y1) + p(x1,y) + p(x,y2) + p(x2,y) ] / 4

What happens if (when) p goes beyond the 255 palette limit?  Or, am I tak=
ing
the average too soon for the edge mid points?

This is where my ignorance shines through, I'm afraid, but what is a
Weierstrass function?

- ----------
From: Barry N Merenoff
Sent: Wednesday, January 13, 1999 6:08 AM
To: INTERNET:[e-mail]
Subject: Re: (fractint) Terrain Generating Algorithm

As far as I can tell from the source code, the old algorithm for Plasma i=
s
a recursive algorithm that defines the colors of the edge midpoints and
center of a rectangle based on the colors of its corners. The original
rectangle is the entire screen, and its corners are colored randomly. The=
n
the color of the midpoint of each edge is the average of the colors of th=
e
endpoints plus a random variable (presumably with mean zero) times the
length of the edge. The color of the center is the average of the colors =
of
the edge midpoints. (Note that the color values are much more precise tha=
n
the actual palette, so as to allow them to be averaged and displaced
fairly.) I can't figure out what the new algorithm does.

Note: This algorithm is technically incorrect because it is stratified
along the dyadic grid (Mandelbrot FGN p258). A more realistic model of a
terrain can be obtained by adding Weierstrass functions projected along
various directions. Note, however, that there must be a large number of
such functions. Otherwise, a "striping" effect will be seen along these
directions.

Collin Merenoff

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

Date: Wed, 13 Jan 1999 10:23:13 -0800
From: "Dave Hershey (Volt Computer)" <[e-mail]>
Subject: RE: (fractint) Terrain Generating Algorithm

I'm trying to build a plasma fractal algorythm for generating random terrain
in a VB program.  But, what I have so far comes out either too chaotic or
too bland, and so I'm asking for help.

- -----Original Message-----
From: Alejandro Kainer [mailto:[e-mail]]
Sent: Wednesday, January 13, 1999 10:03 AM
To: [e-mail]
Subject: RE: (fractint) Terrain Generating Algorithm


Did I miss something? I've just received this from Dave, but I ignore when
it started. Please someone tell me what was first.

Thank you,

Ale

<snip>

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

Date: Wed, 13 Jan 1999 10:53:29 -0800
From: "Dave Hershey (Volt Computer)" <[e-mail]>
Subject: RE: (fractint) Terrain Generating Algorithm

What do you do about the points on the outside of the field that only have
three legal neighbors?  How much random displacement would you use?

- -----Original Message-----
From: Damien M. Jones [mailto:[e-mail]]
Sent: Wednesday, January 13, 1999 9:14 AM
To: [e-mail]
Subject: RE: (fractint) Terrain Generating Algorithm


Dave,

   a    b    c

   d    e    f

   g    h    i

Given this grid of points, with a, c, g, and i already defined, we want to
define the remaining points (b, d, e, f, h) in a way that generates fractal
terrain. What you suggested is to generate the edge points first, then the
center point. In fact, when I tried to adapt the triangular
midpoint-displacement algorithm to a square grid, I tried this too, but in
fact it's the wrong way to do it. You should generate the center point
first, then the edge points.

The problem with doing the edges first is that it increases the resolution
of the grid unevenly. When doing midpoint-displacement on a triangular
grid, you can increase resolution along each of your grid axes
independently; it doesn't matter what order you do them in. When you're
done, you have a new triangular grid with twice as many points. With a
square grid, though, you can't do it all in one step; you have to do it in
two. And if you do the edges first, you're generating one set of points by
averaging only two neighbors (the edges) and then another set of points by
averaging four neighbors (the centers). This doesn't look right.

By doing the centers first, you are doing two steps, but now they're
*equal*. The first pass does the centers; average the four corners, then
displace by some random amount. At the end of this intermediate step you
have a new, complete square grid at double the resolution of the previous
one--rotated forty-five degrees. Now you want to do the edges, but notice
with the new grid you get after doing the centers, the edge points that
still need to be done have become the centers of the new, forty-five degree
grid. So you repeat the process of averaging four corners for each new
point--but two of those corners will be new points created in the previous
step.

This makes each half-step totally equal and produces far better results. I
think FractInt does the edge points first, but I haven't checked the code
myself, so I can't be sure.

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: Wed, 13 Jan 1999 10:54:46 -0800
From: "Dave Hershey (Volt Computer)" <[e-mail]>
Subject: RE: (fractint) Terrain Generating Algorithm

What language was Fractint written in?

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

Date: Wed, 13 Jan 1999 10:57:29 -0800
From: "Dave Hershey (Volt Computer)" <[e-mail]>
Subject: RE: (fractint) Terrain Generating Algorithm

Does anyone know where I can get my hands on the file called Plasma.arc?

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End of fractint-digest V1 #352
******************************