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fractint-digest        Saturday, March 25 2000        Volume 01 : Number 462




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

Date: Thu, 23 Mar 2000 07:53:39 -0800
From: Gregory McClure <[e-mail]>
Subject: RE: (fractint) Trig question

Unless, of course, you take the argument of the sine function into the
complex realm, then any value is possible.  For example the sin of =
(pi/2 -
3i) is approx. 10.07.

There are formulas for determining the values of complex arguments for =
the
trigonometric, hyperbolic, and logarithmic functions that allow a =
computer
to calculate both real and imaginary sections separately.  C may even =
have a
standard package for this, I know they have a complex type.  I don't =
have a
sample for C, since most of my work is in Visual Basic, and the
multiprecision package I created with these formulas was written with =
VB in
mind, not VC.  If you need more details on the algorithms used, just =
mail me
at [e-mail].  I can then look up some info in my =
books
that have these algorithms in C and supply a better answer.

  The Kwisatz Haderach,
=DF  Gregory J. McClure


- -----Original Message-----
From: Iain G. Stirling [mailto:[e-mail]]
Sent: Thursday, March 23, 2000 8:19 AM
To: [e-mail]
Subject: Re: (fractint) Trig question


Janet Dancisak wrote:

From:               "Janet Dancisak" <[e-mail]>
To:                 <[e-mail]>
Subject:            (fractint) Trig question
Date sent:          Thu, 23 Mar 2000 08:32:17 -0600
Send reply to:      [e-mail]

> This is a multi-part message in MIME format.
>=20
> ------=3D_NextPart_000_000D_01BF94A2.4C71C340
> Content-Type: text/plain;
>     charset=3D"iso-8859-1"
> Content-Transfer-Encoding: quoted-printable
>=20
> I've been lurking on this list for a while. I'm just beginning in =3D
> fractals but really haven't had time to play with them. I do have a =
=3D
> question you math wiz people might be able to answer.
> I know my graphing calculator can't figure the sine when the range is =
=3D
> below -1 or above 1: can/how does the computer do it?=3D20
> One more quick question for the programmers out there: I know a =
little =3D
> C++....   is there an inverse sine function?
>=20
> Thank you very much.
>=20
> Janet
>=20

Janet,

Firstly, on your second question: The inverse sine function in C/C++=20
is the asin function. asin stands for "arc sine", another name for the=20
inverse sine. It is available in math.h.

Secondly, on your first question: The answer is - it can't. The sine=20
function only ever outputs a value between -1 and 1, regardless of=20
what angle you give as input. An implication of this is that the =
inverse=20
sine function can only accept inputs in the range -1 to 1.

Hope this helps,

Iain.


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

Date: Wed, 22 Mar 2000 16:33:44 +0100
From: "Pedja" <[e-mail]>
Subject: Re: (fractint) multiple copies of mail

- ----- Original Message -----
From: <[e-mail]>
To: <[e-mail]>
Sent: Wednesday, March 22, 2000 7:54 AM
Subject: Re: (fractint) multiple copies of mail


> Well well, someone from my neck of the woods, note the email address.
> I have seen occasional, intermittant duplicates. I did not believe it
> was my server because this seems to be happening on other lists also
> and to people who do not share my ISP. The thing that I have noted is
> the length of the duplicates is different. The difference seems to be
> in the headers, though I've been lazy about looking at more than line
> count. Feel free to email privately if you want to start comparing
> notes. Short of an illuminati style conspiracy, I've begun to wonder
> if there is a backbone issue somewhere>>.
Multiple copies started about few weeks ago,my ISP is in Yugoslavia,so it
must be list server related.It is weird,IMHO,that sometimes it's just  2-3
copies of the same message(no difference in headers,only in receive
time),and sometimes it's a copy of old message ,only with new subject line.
Is it time to get paranoid,or it's just Murphy's law in action?
Pedja.
Quod  me nutrit me destruit .


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

Date: Thu, 23 Mar 2000 14:26:37 -0600
From: Janet Dancisak <[e-mail]>
Subject: Re: (fractint) Trig question

Cool! Thanks! I'm just getting into complex numbers in my C++ class, so I=
'll
probably be learning the algorithms for them.
I'm doing an Honor's project for Trig class on fractals....   I want to s=
tudy
the science behind the art....   but the teacher I ended up with has an, =
shall
we say "antiquated" notion of fractals. He did his in black and white... =
years
ago, and hasn't worked with them since.  He want's  me to come up with ju=
st one
or two equations to study. I see all the parameters go by on the list....=
   Is
there a really good one or two to start out studying? And now he tells me=
 they
don't HAVE to be trig functions! (It's a long sad story!) Any feed back o=
n where
to start would be appreciated!!

Janet

Gregory McClure wrote:

> Unless, of course, you take the argument of the sine function into the
> complex realm, then any value is possible.  For example the sin of (pi/=
2 -
> 3i) is approx. 10.07.
>
> There are formulas for determining the values of complex arguments for =
the
> trigonometric, hyperbolic, and logarithmic functions that allow a compu=
ter
> to calculate both real and imaginary sections separately.  C may even h=
ave a
> standard package for this, I know they have a complex type.  I don't ha=
ve a
> sample for C, since most of my work is in Visual Basic, and the
> multiprecision package I created with these formulas was written with V=
B in
> mind, not VC.  If you need more details on the algorithms used, just ma=
il me
> at [e-mail].  I can then look up some info in my boo=
ks
> that have these algorithms in C and supply a better answer.
>
>   The Kwisatz Haderach,
> =DF  Gregory J. McClure
>
> -----Original Message-----
> From: Iain G. Stirling [mailto:[e-mail]]
> Sent: Thursday, March 23, 2000 8:19 AM
> To: [e-mail]
> Subject: Re: (fractint) Trig question
>
> Janet Dancisak wrote:
>
> From:                   "Janet Dancisak" <[e-mail]>
> To:                     <[e-mail]>
> Subject:                (fractint) Trig question
> Date sent:              Thu, 23 Mar 2000 08:32:17 -0600
> Send reply to:          [e-mail]
>
> > This is a multi-part message in MIME format.
> >
> > ------=3D_NextPart_000_000D_01BF94A2.4C71C340
> > Content-Type: text/plain;
> >       charset=3D"iso-8859-1"
> > Content-Transfer-Encoding: quoted-printable
> >
> > I've been lurking on this list for a while. I'm just beginning in =3D
> > fractals but really haven't had time to play with them. I do have a =3D
> > question you math wiz people might be able to answer.
> > I know my graphing calculator can't figure the sine when the range is=
 =3D
> > below -1 or above 1: can/how does the computer do it?=3D20
> > One more quick question for the programmers out there: I know a littl=
e =3D
> > C++....   is there an inverse sine function?
> >
> > Thank you very much.
> >
> > Janet
> >
>
> Janet,
>
> Firstly, on your second question: The inverse sine function in C/C++
> is the asin function. asin stands for "arc sine", another name for the
> inverse sine. It is available in math.h.
>
> Secondly, on your first question: The answer is - it can't. The sine
> function only ever outputs a value between -1 and 1, regardless of
> what angle you give as input. An implication of this is that the invers=
e
> sine function can only accept inputs in the range -1 to 1.
>
> Hope this helps,
>
> Iain.
>
> --------------------------------------------------------------
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> Post Message:   [e-mail]
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>
> --------------------------------------------------------------
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> Post Message:   [e-mail]
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> Unsubscribe:    [e-mail] "unsubscribe fractint"


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

Date: Fri, 24 Mar 2000 11:51:38 +1200
From: "Morgan L. Owens" <[e-mail]>
Subject: RE: (fractint) Trig question

At 07:53 23/03/2000 -0800, Gregory McClure wrote:
>Unless, of course, you take the argument of the sine function into the
>complex realm, then any value is possible.  For example the sin of (pi/2 -
>3i) is approx. 10.07.
>
>There are formulas for determining the values of complex arguments for the
>trigonometric, hyperbolic, and logarithmic functions that allow a computer
>to calculate both real and imaginary sections separately.  C may even have a
>standard package for this, I know they have a complex type.
>
The Fractint documentation gives the formulas it uses for its calculation
of these functions with complex argument (online under "Fractals and the
PC", or page 176 of fractint.doc), expressing them as functions of real
variables.

To be precise, the transcendetal functions it details are:

exp, ln, sin, cos, tan, cot, sinh, cosh, tanh, coth, asin, acos, atan,
acot, asinh, acosh, atanh, acoth.

Note, for example, that cosh is a rotation of cos in the complex plane.

Given the use of these expressions in the Fractint code, I would say that a
complex maths library is a nonstandard beastie.

Morgan L. Owens
"cosxx - now that really _is_ nonstandard!"






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

Date: Thu, 23 Mar 2000 22:08:12 -0300
From: "Fernando Henrique Bresslau" <[e-mail]>
Subject: (fractint) Fractlas tiles (backgrounds)

Has any of you had success in designing tiles for backgrounds? I was lookind
either for sometihing with a minibrot or a nice spiral... Any clues? A good
example is the bitmap that comes with UF... (no, it┤s not off-topic.. it┤s
still fractint related...)

Thanks in advance,
 Fernando               _____    _             ___    |)  |.   | |(_`|)
 [e-mail]     /  '   ' )  /         /  )   | ()|| ~ |_|,_)|
 __________           ,-/-,      /--/         /--<
 \ \ \ \ \ \         (_/ernando /  (_enrique /____)resslau         \¿-._
==**********============================================================`>
 / / / / / /             [e-mail]               /_.*¿┤
 ¿¿¿¿¿¿¿¿¿¿                 http://www.ozdobe.org
http://www.jugend.com.br                      http://polijr.mcca.ep.usp.br



__________________________________________________
Do You Yahoo!?
Talk to your friends online with Yahoo! Messenger.
http://im.yahoo.com

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

Date: Thu, 23 Mar 2000 16:33:01 -1000
From: "David Jones" <[e-mail]>
Subject: Re: (fractint) Fractlas tiles (backgrounds)

On 23 Mar 00 at 22:08, Fernando Henrique Bresslau wrote:

> Has any of you had success in designing tiles for
> backgrounds?

Take a look at the background for my small fractals page:

http://home.hawaii.rr.com/aliasjj/fractals.html

Another blast of bits from David
http://home.hawaii.rr.com/aliasjj/   http://www.hawastsoc.org/
For the best Hawaii & Pacific Basin surf forecast:
    http://www.surfreporthawaii.com

Random Thought for this Nanosecond
He who procrastinates last still procrastinates. (D.Jones)



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

Date: Thu, 23 Mar 2000 21:51:47 EST
From: [e-mail]
Subject: Re: (fractint) Fractlas tiles (backgrounds)

Fractiles are easy to make, using any picture editor like Paint Shop.=20
Just select an area you want to be your upper left quarter tile,
flip that horizontally around the right edge, and then flip the whole top
vertically around the lower edge to make the bottom half.=20
You can get many different tiles from one fractal image this way, and
it's much easier than trying to get Fractint to produce a tile directly. =20
The fun comes in selecting the upper left corner.
I hope this helps.
- -Lee Fairbanks    =20


In a message dated 03/23/2000 5:11:27 PM Pacific Standard Time,=20
[e-mail] writes:

> Has any of you had success in designing tiles for backgrounds? I was looki=
nd
>  either for sometihing with a minibrot or a nice spiral... Any clues? A go=
od
>  example is the bitmap that comes with UF... (no, it=B4s not off-topic.. i=
t=B4s
>  still fractint related...)

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

Date: Thu, 23 Mar 2000 23:33:55 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) Fractal tiles for backgrounds

This formula will produce a wide variety of tiling effects.
The attached par file draws a sample with a midget.


fractiles          {;  p1=Mandelbrot set coordinates
  reset=2000 type=formula formulafile=jim.frm
  formulaname=Mosaic function=tan/tan/tan/tan
  center-mag=4.44089e-015/-3.16414e-015/0.1392427/1/-3\
  9.999 params=-1.76/0 float=y maxiter=95
  bailout=25 inside=0 logmap=yes symmetry=none
  periodicity=10 sound=off
  colors=000IVBEVBMZCUaDdA2<3>GU5AY5Ia9<3>kmNrpRysU<3>\
  ZihSflLdpEat8_wRkWiw5nmOscfdAV<3>lWSn`RpfRrkQspQ<3>d\
  RI`KGYEF<3>`U3`Y0Rb1Hg1<2>PK`RClWFk<3>lRkqUkuXky_k<3\
  >YcVRdQKeMDfI6gEAbBEY9HU7<3>_S4dS3iS2mS2<3>eZec_odch\
  <3>gpKgtEhw8hz2<3>uvMxvQmcRcLR8isNkSal1<3>ioJkpNmpSo\
  qWqq_<3>mbelZfkVgjShbOQVL7<3>LNRJNWHN`FNd<3>SZnVapM_\
  hDY`4XU<3>7HM8DK99I96H<3>58W48Z38b38e<2>vzhoC`<3>cME\
  `P8ZR3c0G<4>PKQ<2>GVV<3>WSO_RMcQLgPJkPIiYIheI<3>hISh\
  CUh7WVEG<2>1VK<3>EskHyqUWee2UZWgTxt<3>LQoVQrcQu<3>H9\
  y<3>_d4<3>OoTLr_IueFxkDzq<2>kKl<3>feZejVdoSctP<3>hkf\
  iijjgokeslcw<2>HSu<3>9bo7dn5gm3il<6>rKe
  }

frm:Mosaic {;  p1=Mandelbrot set coordinates
z=c=p1+.05*(fn1(fn2(real(pixel)))+\
flip(fn3(fn4(imag(pixel))))):
z=sqr(z)+c,
|z| <= 100
}



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

Date: Fri, 24 Mar 2000 00:20:14 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 24-03-00 (A Stranger Fractal [8]) (c)

FOTD -- March 24, 2000  (Rating 8)

Fractal enthusiasts and visionaries:

Today's fractal rates an 8.  Actually, I was undecided on a 7 or
an 8, so I decided to give myself the benefit of the doubt by
rating the image an 8, which equals much-above-average on my
scale of fractal worth.

It's an unusually complex image to have come from the formula
(1/Z)-Z+C.  But the complexity of the image is not too
surprising, since nothing in the field of fractals is totally
unexpected.  Actually, the image is most unusual in that it has
24 spiral arms radiating from the obviously quadratic midget at
the center.  24 is not a power of 2.

Since it is one of the stranger midgets I have yet turned up, I
named the picture "A Stranger Fractal".  I gave the coloring
aspect a bit more effort than usual, spending all of 25 minutes
fine-tuning the colors.  The results of my efforts may be seen
in 18 minutes by running the attached parameter file, or even
sooner by going to the usenet group:

          <alt.binaries.pictures.fractals>

and downloading the JPEG file from there.  The image is also
available on Paul Lee's web site at:

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

The ever-present-but-not-always-notable fractal weather was
un-notable today, as a partly cloudy sky and temperature of 60F
(15.5C) made it as normal and average a day as possible.  The
cats must have approved of the non-event, since they spent
several hours outdoors on the porch.

I came upon an article in the news this afternoon telling that
physicist Freeman Dyson has received the Templeton Prize for
Progress in Religion.  In his acceptance speech, Mr. Dyson, an
Agnostic, called for science and religion to work to find a way
to reconcile their differences.  I agree 100 percent with his
feelings on this matter.

The article has my philosophical wheels once again in high gear,
so expect some interesting thoughts from me on the philofractal
list in a day or two.

Until next time, take care, and once a fractal, always a fractal.


Jim Muth
[e-mail]


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

A_Stranger_Fractal { ; time=0:17:40.46 SF5 on a P200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-0.618152963511252/-2.530318379843519/5.1\
  09333e+007/1/-137.5 params=1/-1/-1/1/0/-80 float=y
  maxiter=12000 inside=0 logmap=275 periodicity=10
  colors=000cGK<6>cMKcNKcOKcPKcQKcRK<3>_VNZWOYXP<3>T`T\
  RaUQbW<2>Le`KgbKjd<3>IfcHecHdc<2>FacF`cE_eEZfDYgCWhD\
  XiDXjDXmEXkEXkEYkEYm<2>FYmFYnGZp<3>HZxH_zH_zI_zI_zI_\
  zJazIWwIUwHUrHOmHOgGLjGIaFFUFCUGATF9FF9A<7>F6AF6AF5A\
  F5AF5A<3>F3DF3EF3D<2>F2B<3>dUPj`SiaVhcT<2>OVQ3SNHSPQ\
  U6VVQ<9>WfTWgTWhT<3>WlU<3>fohiollpposr<8>kYwkWwjTx<3\
  >iKy<3>Y_NVcDTg4Rh6Ph7<3>HqBFsCDsE<3>5vI3vJ2uK6oL9kM\
  CgNFdO<3>SWSVUTYSU<3>iKYqD`<5>SaSNeQJiPFmNAqM6uK0zI<\
  4>8wM9wNBvOCvOEuP<3>KxSLyTNzULzUOzURzFUz0<3>Oz8MzALz\
  B<5>PzVQzZQza<2>SzkTznUzp<18>Szw
  }

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, 23 Mar 2000 22:43:25 -0600
From: "Scott D. Boyd" <[e-mail]>
Subject: (fractint) Xfractint menu questions

This message is directed to all the Xfractint users out there.

I am working on cleaning up the user interface of Xfractint so that the prompts
are more appropriate to Linux/Unix users. (Such as changing the function-key
prompts to Shift-n prompts. I have a couple of questions for other people
running Xfractint with Linux (or other Unix-based OS's):

1.Can anyone use the `Delete' key for the Main Menu selection: "select video
mode   <del>". In my case, `Delete' doesn't work. I have to press the `Enter'
key only when this menu item is highlighted. (I know we can't select a video
mode, but still I have to press `Enter' to draw the fractal.) If the delete key
works for you, please also let me know what OS you are using. (Linux, HP-UX,
Solaris, *BSD, etc.) I just want to make sure that this isn't happening only to
me because of some hidden, arcane setting in some keyboard-map file.

2. While going thru one of the source files that deals with the main menu, I
realized that everything below "restart Fractint  <ins>" is missing, such as
color-cycling, pallette editing, make starfield, etc. Is this common to all
Xfractint installations? I can remove a certain condition in the source file,
re-compile, and the menu items will show up. Color-cycling still won't work,
(when I press the C key, I get a beep) but the others will.

Please email me with your results. I realize that there may not be many
Xfractint users subscribed to the fractint-development mailing list, so I'm
also posting this to the regular fractint users mailing list. If you are
reading this on *that* list, please respond directly to me, so as not to
clutter up the regular fractint list with answers to a development question.

Thanks,
Scott D. Boyd
- --
email:  [e-mail]
http://www.fastlane.net/~sdboyd/
Introducing Windows 2000 !! -- Now reduced to only 65,000 bugs !!



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

Date: Fri, 24 Mar 2000 19:20:37 +1200
From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) Fractlas tiles (backgrounds)

At 22:08 23/03/2000 -0300, you wrote:
>Has any of you had success in designing tiles for backgrounds? I was=
 lookind
>either for sometihing with a minibrot or a nice spiral... Any clues? A good
>example is the bitmap that comes with UF... (no, it=B4s not off-topic..=
 it=B4s
>still fractint related...)
>
They're not minibrots or nice spirals, but I've got some novel tiles out of
the Ant type, with a small viewwindow; wrapping at the edges is the default
behaviour for these. Fiddle: types 1 and 2 both have potential.

Morgan L. Owens
"Or start with a minibrot or spiral then ctrl-A an ant over the top."



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

Date: Fri, 24 Mar 2000 08:57:53 -0500
From: Tom Conally <[e-mail]>
Subject: Re: (fractint) Fractal tiles for backgrounds

Hi all,
I was considering the question on tiling and looked into my paintshop pro
plugins and found a filter series called Filter Factory  and under letter U
was a filter called center square tiling. I tried it on some of my fractals
and was amazed at the results. It is a free download on websites dealing
with paintshop pro and photoshop. http://www.pluginhead.i-us.com/ffc_frame.htm
It is for photoshop but works fine on paintshop pro
If anyone needs help using it I will be glad to help.
Tom Conally

In every boomerang there is a perfect throw.
Your life, Grasshopper, is to practice
till you find that throw
and become one with that boomerang!
http://fly.to/boomerangs  " Flying Frog Boomerangs"
http://www.vstore.com/vstorehardware/flyingfrogtools/  "Flying Frog Tools"
http://www.netpath.net/~conally   My greater internet index

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Date: Fri, 24 Mar 2000 10:49:43 -0800 (PST)
From: winnetou may <[e-mail]>
Subject: Re: (fractint) Fractlas tiles (backgrounds)

First of all, thank you for all your prompt replys.
I'm still at school (college), so sme things I could
test, others not. The mirror trick is a good idea,
I'll try that later, I'm sure I'll have great results
from that. The formula and the parameter weren't
tested yet, I'm curious about it. The filter for psp
is being hunted in the moment, and I'll try it as soon
as psp 6 is downloaded (if our nice winNt allws me
conventional user to install it).
My reason for wanting a nice tile is a site I'm
developing and is going to be mentioned in a small
student magazine. So, I'm doing a face lift, and I'm
telling you all when it's ready.
Thanks,


__________________________________________________
Do You Yahoo!?
Talk to your friends online with Yahoo! Messenger.
http://im.yahoo.com

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Date: Fri, 24 Mar 2000 23:57:28 -0300
From: "Fernando Henrique Bresslau" <[e-mail]>
Subject: Re: (fractint) Fractal tiles for backgrounds

Jim, I just loved your image, now I┤m goin to have to explre that nice
formula.... thanks
Fernando


__________________________________________________
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Date: Sat, 25 Mar 2000 01:28:46 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 25-03-00 (A Fractal Circle [5]) (c)

FOTD -- March 25, 2000  (Rating 5)

Fractal enthusiasts and visionaries:

Today, for the fractal of the day, we have a circle -- a fractal
circle.  I realize that circles are not at all rare in fractals,
especially fractals of the Julia type, but the circle in today's
picture surrounds a fully-developed Mandelbrot midget, and the
circle is so perfect that I just had to make it the FOTD for
March 25.

The formula that created the circle is Z-(1/Z)+C.  Of all the
formulae in my vast collection, (and the number of formulae I
have filed away on half-forgotten disks is vast indeed), this
particular formula is the one that gets the most from the least.
Taken separately, each of the two parts does little of interest.
Z+C draws a series of concentric circles, while (1/Z)+C draws a
vertical string of beads, but combined, the two parts work
wonders.

Since 1/Z equals Z^(-1), this formula contains a negative
exponent, which means that the images it draws will be greatly
affected by the bailout radius.  In today's picture the bailout
has been raised to 10100, a value that has a strange effect on
the resulting fractal.

I may write a speed-optimized version of this particular
expression, and add it to my critical.frm file.  Then I could
have a Z-(1/Z) month.  But for now, we'll just have to make do
with the M-Mix4 generalized version.

The attached parameter file requires around 11 minutes to
render.  The JPEG format image file has already been rendered,
and has been posted to the Usenet binary group:

          <alt.binaries.pictures.fractals>

and to Paul Lee's web site at:

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

The image may be downloaded from either site for easy viewing.

The fractal weather today was near perfect for both man and
cats.  Bright sunshine and a temperature of 66F (19C) kept the
cats lounging on the porch all afternoon, and it kept me wishing
I had the time to enjoy it.

The fractosophy is cooking, philosophy fans.  But philosophy of
such a high caliber, (IMHO), cannot be hurried.  I'll have much
to say on the philofractal list perhaps as soon as tomorrow,
perhaps not for several days after that.  But however it goes, I
*will* have a new and improved fractal for tomorrow.  Until that
magic moment arrives, take care, keep waiting like a child on
the day before Christmas, and pardon the rhetoric.


Jim Muth
[e-mail]


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

A_Fractal_Circle   { ; Time=0:11:14.32 SF5 on a P200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-0.1756676821649493/-1.626528667054578/9.\
  385979e+007/1/7.499 params=1/1/-1/-1/0/10000 float=y
  maxiter=1500 inside=0 logmap=215 periodicity=10
  colors=000lbJi`Hf_Gc_E`YDYXCVXASV9PU8MU6JS4GQ3DQ1AP0\
  8N04N01M00K00K0AD1P8Ac1Js0Sz0_<2>z0cz3ez6fz9f<3>zKly\
  NnyQnxUpxXrv_svbtvet<2>epn`skXviQyhMzeGzcCzb8z`Ht_Qe\
  Y`QXiCXHeY0z_<3>1zP6zNAzKGzHKzGQzDVzA_z9ez6iz3nz1iz3\
  fy3bt3_r3Vl3Sh3Nc3K`3GX3DS3AP38N86MC3KG1KK0JN0HS0HX0\
  G`0Ee0Eh0CY4APD8EK66S40N96JCDEEKAJS6M_1Pf0Sn0Vp1Xp3Y\
  p4_p6`r<3>CfsDhsEisGksGls<2>KrtMstNtvPvvQxvSyvUzxVzx\
  XzxYzxYzx_zt`xrbtncpkekhehefcbh__iXXkSUkPSlKPnGMpDJr\
  9Gs4Ds1At08v04x01y00y00t01p04l08h0Ac0D`1GX6KS9NPCQKE\
  UGHXDK_9Nb4Sf1Vi<3>0fv0iy4hpQhhlh_zhSzkUzlVzpXzrYX40\
  V80<3>UH0UJ0UM0SP0SQ0SU0QX0QY0<3>Ph0Pk0Nl0Np0Ns0Mt0M\
  x0Mz0<3>Nz0Nz0Qz0<10>fz0hz0iz0<4>rz0sz0tz0vz0xz0yz0\
  <2>zz1zz4zz9<3>zzMzzQzzU<2>zzczzbzz`zz`zz9<3>zzM
  }

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: Sat, 25 Mar 2000 11:44:51 -0500
From: Tom Conally <[e-mail]>
Subject: Re: (fractint) FOTD, 25-03-00 (A Fractal Circle [5]) (c)

Jim,
Your FOTD today looks like a camelia flower with a mandelbrot center! Very
nice!

At 01:28 AM 03/25/2000 -0500, you wrote:
>
>FOTD -- March 25, 2000  (Rating 5)
>
>Fractal enthusiasts and visionaries:
>
>Today, for the fractal of the day, we have a circle -- a fractal
>circle.  I realize that circles are not at all rare in fractals,
>esp

Tom Conally
In every boomerang there is a perfect throw.
Your life, Grasshopper, is to practice  till you find that throw
and become one with that boomerang!
__________________________________________
Boomerangs        http://fly.to/boomerangs
Internet Index       http://www.netpath.net/~conally/



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Date: Sat, 25 Mar 2000 23:24:46 EST
From: [e-mail]
Subject: (fractint) some recent pars ~

Hi All,

 Here's a few favorites of my recent fractaling.  If I've previously sent any
of these, please forgive me.  Haven't been keeping track here with the new
PC(13months) <G>   Enjoy~

 Jim Weaver
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

3rdCoast.gif       { ; image(c)2000 Jim Weaver
  reset=1960 type=mandel(fn||fn) function=log/flip passes=t
  center-mag=+1.60533291452199800/-1.33498883875210200/1.18619/1/45
  params=0/0/0.7541600000000001 float=y maxiter=255 inside=bof60
  decomp=256 periodicity=0
  colors=000700<11>`00c00d44<13>zzz<3>snNukDsh3qe0<2>kX0aU0<9>I00<8>000300\
  000003005<5>D0KF0MJ0P<3>Q0ZS0`U2cW4d<2>aGhcKieMkgOmiWokYpmbqoesqjusovupw\
  xvyzzzyvxwpuvosujqseoqbmpYkoWimOgkMeiKc<2>f8Yd4Wc2U`0S<4>R0IP0GN0GL0C<4>\
  B02900700500005<13>00c<15>zzz<15>EEcBBa88Z<2>00S<9>003000022<14>0cc<15>z\
  zz<15>0c0<14>030000200500
  }

Fins               { ; image(c)2000 JimWeaver
  reset=1960 type=formula formulafile=_i.frm formulaname=inandout13
  function=sinh/sqr passes=t
  center-mag=-0.626395/0.463283/3.369305/1/-12.498 params=1/0/0/0
  float=y inside=epsiloncross invert=0.1/-0.4/0 periodicity=0
  colors=0000c0<14>030000200<13>`00c00d44<13>zzz<3>snNukDsh3qe0<2>kX0aU0<9\
  >I00<8>000300000003005<5>D0KF0MJ0P<3>Q0ZS0`U2cW4d<2>aGhcKieMkgOmiWokYpmb\
  qoesqjusovupwxvyzzzyvxwpuvosujqseoqbmpYkoWimOgkMeiKc<2>f8Yd4Wc2U`0S<4>R0\
  IP0GN0GL0C<4>B02900700500005<13>00c<15>zzz<15>EEcBBa88Z<2>00S<9>00300002\
  2<14>0cc<15>zzz<14>4d4
  }

g303004.gif        { ; image(c)2000 JimWeaver
  reset=1960 type=formula formulafile=fractint.frm
  formulaname=g-3-03-m function=log/conj passes=b
  center-mag=0.990512/-1.19193/1.94364/1/87.5 params=0.11/0.03/0.4/0
  float=y inside=bof60 outside=real periodicity=0
  colors=000nP0<3>jB0i70f70<14>000<15>S5N<15>zz0<14>ZZ8XX8VW8TU8RS8<2>LM6J\
  K6HI6FG6DF5<2>795574354033077<13>4zz<15>zz0<15>z1z<15>000<7>0K00N00Q00T0\
  0W0<3>0f0<15>zz0<15>zzz<15>000<12>TN0WO0YQ0`S0aU0<14>zz0<9>oS0
  }

kchn17a1.gif       { ; image(c)2000 JimWeaver
  reset=1960 type=formula formulafile=fract196.frm
  formulaname=inandout04 function=cabs passes=b
  center-mag=0.0402045/-0.0677868/2.994378/1/-77.5
  params=0.9399999999999999/-0.58/100/0 float=y maxiter=255
  inside=bof60 periodicity=0
  colors=000pnnwuu<9>aQH_MDYJ9VF4SD4<5>421445<7>UOFYRG`THdWJfXJ<5>oaI<4>jT\
  FiSEhQDgOCfMBeKB<7>Y54X33Y65<13>skYuo`un`<4>riYqhYogX<29>553432221000101\
  <18>K4AL4BM5BN6B<25>uaEwcExdEzfFyeF<26>N9CL8CK7CI5BH5AG59F49E4873D<7>214\
  213112000000000<24>325325325436534423<6>jhh
  }

Wave               { ; image(c)2000 JimWeaver  (etch02z.gif)
  reset=1960 type=formula formulafile=_i.frm formulaname=inandout06
  function=atanh/asinh/sin passes=b
  center-mag=-1.04373304461890100/+0.05870978187343233/1250.463/0.9786/-11\
  5.201/-13.313 params=0/0/0/0 float=y inside=bof60
  colors=000yeCxbBu_9sX8oU7lR5<2>ZI2UF1OC1<3>000000<3>O82UA3ZC5cE7hG9lIBoK\
  EsMGuOJxQMySPyTSzVVyTSySPxQMuOJsMGoKElIB<2>ZC5UA3O82<3>000000610C21I31O4\
  3U55Z67c7Ah8Dl9HoALsBOuCTxDXyEazFfzGjyFeyEaxDXuCTsBOoALl9Hh8Dc7AZ67U55O4\
  3I31<2>000000500901E02I04<3>Y0I`0Mb0Se0Wg0ai0gj0mj0tk0yj0tj0mi0gg0ae0Wb0\
  S`0MY0IU0EQ0AM07I04E02<2>000000300601901<2>I07K0AM0EO0HQ0LS0O<3>V0fW0jV0\
  f<2>T0TS0OQ0LO0HM0D<4>901<2>000000<3>602703905<2>C0BD0EE0GE0JF0M<2>G0V<4\
  >E0GD0EC0BB09A07<3>401300100<4>000001001002003<7>00E00F00E<6>004640<2>OG\
  0UK0ZO0cS0hW0lZ0ob0sf0uj0xn0yr0yv0zz0yv0yr0xn0uj0sf0ob0lZ0<2>ZO0UK0OG0<3\
  >000000<2>I90OC1UF1ZI2cL3hO4lR5oU7sX8u_9xbB<2>zjFzhE
  }


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Date: Sun, 26 Mar 2000 01:20:02 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 26-03-00 (End of the Tunnel [5]) (c)

FOTD -- March 26, 2000  (Rating 5)

Fractal enthusiasts and visionaries:

Today's fractal is titled "End of the Tunnel", which originally
was short for "Light at the End of the Tunnel".  But when I
realized that the end of the tunnel in this image is total
darkness, I dropped the 'light' part of the name.  It would not
have fit in the allotted space anyway.

The midget in the scene is a midget of one of the lowest orders
of all time -- 1.09.  The complete formula is
(Z^1.09)*(C^0.7)+C.  Yes, I realize that the Z^1.09 Mandeloid
has no midgets, so where then does the midget in today's image
come from?

Actually, it is the midget on the negative tail of the Z^1.09
Mandeloid.  Yes, I also realize that the Z^1.09 Mandeloid has no
negative tail.  This is where the JimsCompMand formula comes in
handy.

This formula is a simple generalization of the cmplxmarksmand
formula, which splits the M-set along its negative axis.  When
applied to the Z^1.09 figure, the JimsCompMand formula splits
the negative X-axis, bringing the previously buried midget on
the negative tail out from its imaginary hiding place.

But the process is not quite as simple as it first appears.  By
the time the exponent has been reduced to 1.09, the midget has
shrunk to the point of invisibility, making it necessary to
track the midget as the exponent is gradually reduced.  The
final result is today's picture.

I could have tracked the midget much farther down, but below the
1.09 exponent of today's picture, the midget degenerates into a
lopsided oval, while the surrounding features become so finely
divided that they form little more than a sandy background.

Today's midget has some interesting textures along its border.
I'll be investigating this area tomorrow, and if I find anything
of interest, it will appear as the FOTD.

Requiring 15 minutes to render on a modest Pentium, the para-
meter file is a bit on the slow side.  Instant relief can be
found by going to:

          <alt.binaries.pictures.fractals>

where the finished image has been posted.  The image is also
available at:

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

The fractal weather, for anyone who actually cares about the
local weather, was partly cloudy and quite warm today.  It was
unusually muggy, with an evening thunder-shower.  The cats must
have approved of the 68F (20C) temperature, because they passed
the middle of the day lounging in their chairs on the porch.

There is no fractal philosophy today -- it's not finished
cooking yet.  But the odds are 40 percent that I'll have it
ready by tomorrow, (80 percent by the next day).  Until next
time, take care, and keep your fractals up.


Jim Muth
[e-mail]


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

End_of_the_Tunnel  { ; time=0:15:01.30 SF5 on a P200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=jim.frm
  formulaname=JimsCompMand passes=1
  center-mag=-1.1486864985/0.2740245946/1424.552/1/60
  params=1.09/0/0.7/0/0/0 float=y maxiter=18000
  bailout=25 inside=0 logmap=71 periodicity=10
  colors=000zzzzzzzzzwzzuzzpzzmyzhvzfuzcszapw<2>UlsSjr\
  OhnMfmKelHcjGaf<3>GV`GUXHSVHQUHOSHMOHKMHHKHGHHDGKBBK\
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  <2>HurDrsBns9ms7js4fs4au2cs2cs2es<2>2fs2fs2hs2hs2js2\
  js2ls<3>2mr2nr2nr2nr2pr2pr2rr2rr2sr2sr0sp0up<3>0wp0w\
  p0wp0yp0yp0zp0zp0zn<3>0zn0zn2zn4zn7zn<4>7zn
  }

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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End of fractint-digest V1 #462
******************************