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fractint-digest         Thursday, June 1 2000         Volume 01 : Number 478




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

Date: Sun, 28 May 2000 11:04:09 -0400
From: Lee Skinner <[e-mail]>
Subject: (fractint) MandelbrotMix4 Lakes

Hi Sylvie,

>>  A formula file that contains all of the MandelbrotMix4-lake formulas =
I
made from Jim Muth's parameters (+ some of mine) is available on the
Downloads page of my web site (check out Mmix_lak.zip):

    <http://www.fractalus.com/sylvie/homepage.htm>

  Here's some examples:  <<

Great images, Sylvie!   Here are some Mandelbrotmix4 lakes of mine:

6ml13901           { ; Water Cave                            t=3D  1:39:4=
7.86
                     ; on a P233 at 1600x1200  May 28, 2000  08:51:02
                     ; Image Copyright 2000 by Lee H. Skinner ver=3D2000
                     ;  Version 2000 Patchlevel 8
  reset=3D2000 type=3Dformula formulafile=3Dfractint.frm
  formulaname=3Dmmix4-lake-0139 function=3Dident passes=3D1
  center-mag=3D-0.12947867499869180/-0.31327946717538240/587.3575/1/-2.5
  params=3D0/0/33.33/0/0.2/300 float=3Dy maxiter=3D6000 bailout=3D25 insi=
de=3D0
  logmap=3D17 symmetry=3Dnone periodicity=3D10
  colors=3D000zyxzzz<3>sww<2>zzz<3>rwzovzhswaosVkpNgl<2>8lh<3>AWVASSBOO<2=
>CB\
  EDED<2>KOANR9QU8TY7Wa6<3>go2js1nw0<7>NW9KSAGPB<3>2AG<8>4RW5TX5VZ<3>6ae6=
b\
  g6di<2>7jn8lp8ln<3>8ld8mb8m_<3>9nQ<4>qx6zz1<3>zzz<3>jqdfo_blU<3>Mb8<2>L=
T\
  8LQ8LP8<3>LL8LK7LI7LH6LG6<3>KB4KA4J83<3>J32J21J11J00<12>b35d36e36f36<3>=
l\
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7\
  <3>zz8<3>zpEznFzkH<25>zxv
  }

6ml16201           { ; Venice Bridge                         t=3D  2:48:5=
5.27
                     ; on a P233 at 1600x1200  May 28, 2000  08:51:30
                     ; Image Copyright 2000 by Lee H. Skinner ver=3D2000
                     ;  Version 2000 Patchlevel 8
  reset=3D2000 type=3Dformula formulafile=3Dfractint.frm
  formulaname=3Dmmix4-lake-0162 function=3Dident passes=3D1
  center-mag=3D-0.88912937958200310/-0.00031214697624702/7944.202/1/-87.4=
98
  params=3D0/0/33.33/0/0.2/300 float=3Dy maxiter=3D1400 bailout=3D25 insi=
de=3D0
  logmap=3D9 symmetry=3Dnone periodicity=3D10
  colors=3D5005106D0<25>QY0RZ0R_0<3>Vc0Wd0Xf1<5>Vd3Vc3Uc4<3>T`5S_6SZ6<52>=
G66\
  G56F56<3>E26<3>e63l72s81zA0<3>z90z90zA0<8>zS4zU4zW5<2>za6yc7wb7<13>MOEJ=
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  EGMF<3>5HH<3>7QQ8SS8VV<3>BccCffChhDjj<3>dsskuurwwzzz<3>jqdfo_blU<2>ReE<=
3\
  >OTCNQCNPC<3>PJ9QI9QG8<2>SC6TA5WD6ZF7aI8eLAhMB<3>rbBtfBwjBzoA<3>zw6zz4z=
z\
  0<4>zj2zg2zc2<3>zS4zP5zL5zI6zE6wE6tD6qC6<3>kA5iA5fA5<9>921
  }

6ml17702           { ; Moonlight Arch                        t=3D  1:07:4=
3.42
                     ; on a P233 at 1600x1200  May 28, 2000  08:51:45
                     ; Image Copyright 2000 by Lee H. Skinner ver=3D2000
                     ;  Version 2000 Patchlevel 8
  reset=3D2000 type=3Dformula formulafile=3Dfractint.frm
  formulaname=3Dmmix4-lake-0177 function=3Dident passes=3D1
  center-mag=3D+2.15632695764063200/-0.01595275250755705/968.5468/1/72.49=
9
  params=3D0/0/33.33/0/0.2/300 float=3Dy maxiter=3D3000 bailout=3D25 insi=
de=3D0
  logmap=3D13 symmetry=3Dnone periodicity=3D10
  colors=3D000oua<2>Ywu<5>OpvNnvLmw<3>Ehx<3>8Th7Pd5L`<2>08P<4>BLHDNGGQEIT=
DLV\
  BNY9<29>Mg2Mg2Mg2Mg2Lh1<40>ul1vl1wl1xl1yl1zm0<29>zF0zE0zD0<2>zA0z80z82<=
1\
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z\
  L`<3>zOUzPSzPR<3>zSJzTHzTFzUD<3>nI9jF8gC6<3>V01<2>yB3<14>yfAyhByjB<2>yp=
D\
  ysEytF<2>zwHzwIzvK<3>zuQuuW
  }

6ml17704           { ; Forest Fire                           t=3D  2:24:0=
1.53
                     ; on a P233 at 1600x1200  May 28, 2000  08:52:01
                     ; Image Copyright 2000 by Lee H. Skinner ver=3D2000
                     ;  Version 2000 Patchlevel 8
  reset=3D2000 type=3Dformula formulafile=3Dfractint.frm
  formulaname=3Dmmix4-lake-0177 function=3Dident passes=3D1
  center-mag=3D+2.17856216587067300/-0.02305697921457523/2260.564/1/-94.9=
98
  params=3D0/0/33.33/0/0.2/300 float=3Dy maxiter=3D3000 bailout=3D25 insi=
de=3D0
  logmap=3D29 symmetry=3Dnone periodicity=3D10
  colors=3D000qLA<3>d95a64Z33V01<2>yB3<14>yfAyhByjB<2>ypDysEytF<2>zwHzwIz=
vK<\
  3>zuQ<3>cvnYwuXvu<4>OpvNnvLmw<3>Ehx<3>8Th7Pd5L`<2>08P<4>BLHDNGGQEITDLVB=
N\
  Y9<29>Mg2Mg2Mg2Mg2Lh1<40>ul1vl1wl1xl1yl1zm0<29>zF0zE0zD0<2>zA0z80z82<11=
>\
  z5Yz4_z4bz3ez3g<3>z2r<3>zmxzzzruz<3>N`zFWz6Qz<3>SLmYKicJf<3>pKcsKbvKazL=
`\
  <3>zOUzPSzPR<6>zUDwRCtOB
  }

6ml19701           { ; Woodsy Pond                           t=3D  0:48:4=
0.64
                     ; on a P233 at 1600x1200  May 28, 2000  08:52:15
                     ; Image Copyright 2000 by Lee H. Skinner ver=3D2000
                     ;  Version 2000 Patchlevel 8
  reset=3D2000 type=3Dformula formulafile=3Dfractint.frm
  formulaname=3Dmmix4-lake-0197 function=3Dident passes=3D1
  center-mag=3D17.0819/2.64481/12.64048/1/180 params=3D0/0/33.33/0/0.2/30=
0
  float=3Dy maxiter=3D2000 bailout=3D25 inside=3D0 logmap=3D29 symmetry=3D=
none
  periodicity=3D10 rseed=3D3141
  colors=3D000bF7<3>SE6QE5NE5KE5HD4HD4<3>HN4HQ4HS4<3>Jb4Jd4Jg4<3>JT4JP4JQ=
4<6\
  >KV4KW4KX4<2>KZ4L_4N_4P`4R`4<3>6dQ0eW0dZ<3>0`j0_m0Zp<2>0Vz<3>V_Ya`RiaKq=
b\
  Dyd5<26>yF2yF2yE2<2>yB2xB3vB5<5>mEFkFHjFI<3>cIQbIS`JTZJV<4>jaelehnij<3>=
x\
  ys<8>dmnblm_jm<3>SfkQdjNcjLai<3>CXUAWQ7VM<2>0QA<3>6XM8ZQA_T<2>FebHgeLhf=
<\
  4>bokepliqm<2>tupxwrzyt<5>zxZzxVzwR<2>zwGzvCztC<4>xiCxgCxdCwbCw`CvYB<8>=
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<\
  3>zH9<7>eG7
  }

6ml20303           { ; Indian Camp                           t=3D  0:48:2=
5.60
                     ; on a P233 at 1600x1200  May 28, 2000  08:52:34
                     ; Image Copyright 2000 by Lee H. Skinner ver=3D2000
                     ;  Version 2000 Patchlevel 8
  reset=3D2000 type=3Dformula formulafile=3Dfractint.frm
  formulaname=3Dmmix4-lake-0203 function=3Dident passes=3D1
  center-mag=3D+0.99702774956984290/+0.00004870298086398/9.999487e+007/1/=
- -67\
  .499 params=3D0/0/33.33/0/0.2/300 float=3Dy maxiter=3D1000 bailout=3D25=

  inside=3D0 logmap=3D43 symmetry=3Dnone periodicity=3D10 rseed=3D3141
  colors=3D000eQI<5>kaWmbYnd_<3>rliLnk<3>pvuyxxzzz<2>8cZ<3>0aP<3>VgJbiIjj=
Grl\
  FznD<3>zX7zT5zO4zK2zF0<4>zA0z80<12>z5Yz4_z4bz3ez3g<3>z2r<3>zmxzzzruz<3>=
N\
  `zFWz6Qz<3>SLmYKicJf<3>pKcsKbvKazL`<13>zVCzWAzX8<3>y_0<21>ypBypCyqC<3>y=
t\
  FzuGzvGzwH<3>zvNzuPzuQ<3>cvnYwuXvu<4>OpvNnvLmw<3>Ehx<3>8Th7Pd8Pb<4>ETSF=
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  PGUNHULIVJ<3>NY9<3>UQ9WO9YM9_K9<3>fGHgFJiELkDNmCP<3>WKGSMENOBJQ9ES6<3>8=
_\
  67a65d5<2>0k0<12>AS7BQ8BP8<2>EKAFIBGGA<2>JB7K95MA5<5>_I8aJ9bKBcMDdOG
  }

6ml23801           { ; Cut-up Scene                          t=3D  0:41:0=
6.43
                     ; on a P233 at 1600x1200  May 28, 2000  08:52:49
                     ; Image Copyright 2000 by Lee H. Skinner ver=3D2000
                     ;  Version 2000 Patchlevel 8
  reset=3D2000 type=3Dformula formulafile=3Dfractint.frm
  formulaname=3Dmmix4-lake-0238 function=3Dident passes=3D1
  center-mag=3D2.93098/-3.64397/12.21837/1/4.998
  params=3D0/0/33.33/0/0.2/300 float=3Dy maxiter=3D1600 bailout=3D25 insi=
de=3D0
  logmap=3D4 symmetry=3Dnone periodicity=3D10
  colors=3D000zvL<2>zuQ<3>cvnYwuXvu<3>QqvOpvNnv<2>IjwGiwGgt<7>8MV7KR6HO5E=
K4B\
  H<3>003<5>1A61B71D7<3>1KA1LB1NB1PC2RD<15>2c42d42e32f32g21h12g13e2<32>Oj=
1\
  Pj1Pj1Qj1Rk0<41>qqkrqlrqm<3>urrvsswst<3>zty<3>zUszNqzGpz9nz2lz2oz2r<3>z=
m\
  xzzzruz<3>N`zFWz6Qz<3>SLmYKicJf<3>pKcsKbvKazL`<13>zVCzWAzX8<3>y_0<21>yp=
B\
  ypCyqC<6>zwHzwIzvK
  }

6ml26701           { ; Landscape                             t=3D 24:47:4=
3.25
                     ; on a P233 at 1600x1200  May 28, 2000  08:53:12
                     ; Image Copyright 2000 by Lee H. Skinner ver=3D2000
                     ;  Version 2000 Patchlevel 8
  reset=3D2000 type=3Dformula formulafile=3Dfractint.frm
  formulaname=3Dmmix4-lake-0267 function=3Drecip passes=3D1
  center-mag=3D-1.82119694643630500/+6.28079334345163400/40.52967/1/-135
  params=3D0/0/33.33/0/0.2/300 float=3Dy maxiter=3D6000 bailout=3D25
  inside=3Dbof61 logmap=3Dyes symmetry=3Dnone periodicity=3D10
  colors=3D000ywwxssvooKRksgg<4>lOOkKKiGG<3>c00<9>F00D00A00<2>300000020<8=
>0P\
  00R00U0<3>0c0<9>bqbfrfjtj<3>zzz<9>OlOKkKGiG<3>0c0<9>0F00D00A0<2>0300000=
0\
  2<8>00P00R00U<3>00c<9>bbqffrjjt<3>zzzYhJssxoovkkuZa0ccr__pWWoSSPOOl<3>8=
8\
  f44e00c<3>00U00S00P00N00K0LI0OF<10>0PM0QN0QO<3>0RR<3>0``0cc3dd<8>bqqfrr=
j\
  tt<3>zzz<9>OllKkkGii<3>0cc<9>0FF0DD0AA<2>033000200<8>P00R00U00<2>`00c00=
d\
  44<13>zzz
  }

Lee Skinner

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

Date: Sun, 28 May 2000 11:53:33 -0400
From: Sylvie Gallet <[e-mail]>
Subject: (fractint) MandelbrotMix4 Lakes

Hi Lee,

>> Great images, Sylvie!

  Thank you, Lee!

>> Here are some Mandelbrotmix4 lakes of mine:

  Thanks.  Yours are much slower, and I can't comment on them, yet!

  Cheers,

        - Sylvie

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

Date: Wed, 28 May 2003 16:33:29 -0400
From: Ron Barnett <[e-mail]>
Subject: (fractint) Trouble with my web site

Hello everyone,

I just returned from several weeks of traveling to find that the supposedly
smooth migration of my web site to a new ISP has not been so smooth. My old
ISP has not yet released my registered domain, but they have been turning
access on and off  to my web site randomly, it appears. Until I get that
cleared up, my web site is temporarily

http://www2.sdar.net/barnettr/index.htm

Hopefully, it will return to hiddendimension.com soon.

Also, my outlook.pst file managed to become so corrupted that it couldn't
repaired, so I have lost all my fractal email for the past three months. If
any of you had sent anything that I should have responded to, either
directly or as a courtesy, it is now lost and I appologize in advance. I am
sure there is all sorts of good stuff I missed and would like to have
commented on.

Ron Barnett


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

Date: Mon, 29 May 2000 00:51:07 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 29-05-00  (Ton of Fractal Fun [6])


FOTD -- May 29, 2000  (Rating 6)

Fractal enthusiasts and visionaries:

If you get a strange feeling that you've seen today's fractal
before, you are right.  You have seen it before.  The midget in
today's FOTD is the same one that appeared in yesterday's "Blue
Beauty" picture.

I have zoomed in a bit closer, and I've changed the color scheme
to a wild, festive one, but it's exactly the same midget at
exactly the same coordinates of the same formula.  The only
difference is that the serene blue color palette of yesterday's
image has been replaced by a lively, gaudy palette, which though
it's lively, rates only a slightly-above average 6.

Since the picture has such a fun-like feel to it, I decided to
name it "Ton of Fractal Fun", which pretty accurately describes
the scene.  The 12-1/2 minute wait for the parameter file to
finish is not much fun, but the fun may be restored by rushing
to download the JPEG image file from:

          <alt.binaries.pictures.fractals>

or from:

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

The following question from Fernando Bresslau recently appeared
on the Fractint list.  I'll take a moment to reply.

>So, my question is, how can you guarantee that these center
>coordinates [in the parameter file] are the center coordinates
>of your midget (if this is what you tried to tell . . .?)

The center coordinates in the parameter file define the center
of the image frame, not the center of the midget itself.  These
coordinates were written to the parameter file by the Fractint
program, and I know that they are accurate because they
correctly reproduce the original image.

Today's weather report is as accurate as the coordinates.  The
rain was miserable or great, depending on what one had planned
for the day.  For those who had planned picnics, cook-outs or a
trip to the beach, it was miserable, but for that minority, of
which I am a member, who had planned to search for fractals, it
was great.  The steady rain and temperature of 54F (12C) was
ideal for fractaling.  The fractal cats didn't care for the
weather however.

It was so great for fractaling that I forgot to philosophize,
and thus the philosophy fans waiting for enlightenment will once
again be disappointed.  But tomorrow, as always, will be another
day, another fractal and perhaps some wonderful philosophy.
Until that golden moment arrives, take care, and what do they do
on a rainy day in Fractal Land?


Jim Muth
[e-mail]


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

Ton_of_Fractal_Fun { ; time=0:12:29.62 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+5.50284414432844300/+0.67154084077933580\
  /3.24463e+009/1/40/-0.001 params=1/-0.414/1/-4.14/0/0
  float=y maxiter=1800 bailout=25 inside=0 logmap=247
  symmetry=none periodicity=10
  colors=000Uc0PHEcUENGhcGDLUCKGC<7>DF8CE8BE7<3>8E6<3>\
  JHCLIDOJE<3>YMK`MPbNPeOUgPUjPZlQZoRcqRczJMwBFt39<13>\
  N35L35I35G34D34B34A23<20>74A74A74A<2>74B74B86C<32>Cm\
  dCneCpf<2>CtiCujBuk<28>PwXPwXQxW<7>TvSUuSUuR<3>WtPJh\
  K<2>skK<3>poKopKnsK<3>lwKknKjpKiwd<3>gyffyfezg<10>Zz\
  mYznXzn<2>VzpVzpWzn<12>bzVczUdzS<3>fzMjzJfzLbzMZzNXz\
  P<6>RzJQzIPzH<3>MzESzGRzF
  }

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: Mon, 29 May 2000 06:33:48 -0300
From: "Fernando Henrique Bresslau" <[e-mail]>
Subject: Re: (fractint) FOTD, 29-05-00  (Ton of Fractal Fun [6])

- ----- Original Message -----
From: Jim Muth <[e-mail]>
> The following question from Fernando Bresslau recently appeared
> on the Fractint list.  I'll take a moment to reply.
>
> >So, my question is, how can you guarantee that these center
> >coordinates [in the parameter file] are the center coordinates
> >of your midget (if this is what you tried to tell . . .?)
>
> The center coordinates in the parameter file define the center
> of the image frame, not the center of the midget itself.  These
> coordinates were written to the parameter file by the Fractint
> program, and I know that they are accurate because they
> correctly reproduce the original image.
>

Ok, thanks for making it clear to me. I made some confusion in this point.
Have a nice week (it┤s cold here in Brazil (if you call 10░C cold), and I┤d
rather bee under my coats than fractalling/srfing the net...
Fernando Bresslau
http://www.ozdobe.org/bresslau


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

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

Date: Mon, 29 May 2000 20:47:23 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 30-05-00  (Octagonal Star [7])

FOTD -- May 30, 2000  (Rating 7)

Fractal enthusiasts and visionaries:

Distracted as I was by Tippy, the fractal cat, my finger paused
a bit too long on the <1> key as I was entering the parameters
for today's fractal, causing me to inadvertently enter 111111....
instead of the 11 I had intended as the value of imag(p2).

"What the heck," I mumbled as I saw the string of ones.  "Let's
see what these parameters will do."  Substituting a decimal
point for the third digit, I let the formula do its thing.  As
expected, I found that the extra digits have almost no effect
on the appearance of the parent fractal.

On a whim I set real(p3) to 0.3.  The formula then created a
grossly oversized and nearly indescribable fractal with grossly
underestimated potential.  A bit of searching revealed things in
the fractal that looked like a space alien's antenna with a bulb
on the end.  I investigated one of these antenna bulbs.

As I went deeper into the bulb, I came to an area of sickle-
shaped elements, and soon I found the two symmetrical features
that usually mean a midget is hiding there.  As today's picture
shows, I was once again right.

With its star-like coloring and delicate filaments, today's
fractal looks pleasing from both near and far, easily deserving
its above-average rating of 7.  When I saw the eight-pointed
star effect, I named the picture "Octagonal Star".  Coinciden-
tally, the time the parameter file takes to render on a P200
machine is almost exactly 7 minutes.

Yes, I realize that fractalists are sometimes very busy people,
so I have mercifully posted the JPEG image file to:

          <alt.binaries.pictures.fractals>

and Paul Lee has posted it to his web site at:

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

The fractal weather today was dry but cloudy and quite cool,
with a raw east wind and a temperature of 61F (16C) that kept
all but the hardiest picnickers safely indoors.  It was a day
more typical of those in the Pacific Northwest than those on
the Mid-Atlantic coast.  The raw weather also kept the fractal
cats indoors, where they passed the day eating and sleeping.

And now for the bad news . . . yes, I once again failed to
philosophize.  My humblest apologies to the disappointed and my
sincerest empathies to the relieved.  But all is not lost, for
the longer the philosophy takes to ripen, the better it will be
when it's finally ready.  So brace yourself for imminent and
unexpected enlightenment.

But until that time when light shines, take care and keep those
fractals coming.


Jim Muth
[e-mail]


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

Octagonal_Star     { ; time=0:07:03.15 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-15.17590216673625/-56.06011507835237/3.8\
  61277e+007/1/142.499 params=1/1.1/1/11.1111111111111\
  1/0.3/0 float=y maxiter=1200 bailout=25 inside=0
  logmap=136 symmetry=none periodicity=10
  colors=00009D<2>07A079268<3>A45C44E33G33<9>_S5aU5cW5\
  <2>ic5ke5kg5<4>UOSRKWNG`<3>A0q<5>VTXYYUaaQ<3>ntDnuDn\
  vDmvDowD<2>wxDzyDzyD<3>zvEzuEytExtF<3>qqFopFnoF<6>gk\
  HfjHeiH<2>cgHbfHbfIbeI<12>XXKXWKXWKWVKWUKWUK<12>EISC\
  HSBGT<3>5CVABW<4>ZQMcTN<2>raVsdYtg`ujbtmatpasqa<26>j\
  _Yi_XiZX<3>hWXgWYgVZ<3>fTbfScgRd<3>iOhjOimJjjNkkMl<2\
  >lKmmJmkOmiNmgNm<7>iMuiMviMwiMxiLy<9>kKzlKzlKz<3>mJz\
  <2>ZJzUPz<3>AOz<11>RMzTLzULz<3>_KzeAzdAz
  }

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: Wed, 31 May 2000 00:26:44 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 31-05-00  (A Midget [8])

FOTD -- May 31, 2000  (Rating 8)

Fractal visionaries and enthusiasts:

The final FOTD for the month of May should feature a fractal
worthy of the occasion.  And indeed it does.  Today's midget, to
which I have given the simple, non-assuming name "A Midget",
rates (IMO) a much-above-average 8 on my 1-to-10 scale of
fractal worth.

Surprisingly enough, the image is another accident.  When I
entered the parameters, I had intended on combining Z^(-2) and
Z^(-20), but for some reason I forgot the minus signs and
inadvertently calculated -2(Z^2+Z^20)+(1/C).  And this time I
can't blame the cats.

But, as today's picture shows, the result was not bad.  The
formula draws a crooked fractal with a shrunken, crooked
Mandelbrot set lurking near the upper left corner of the frame.
The little M-set is fairly conventional, but it is surrounded by
the fractal debris that breeds interesting midgets.  When I saw
this, I got out my mathematical microscope and went in search of
these midgets.

I began my search in the east valley of the M-set, rather deep
in an elephant-trunk spiral.  In this particular part of this
particular fractal, the spirals reach their infinite ends, then
wind back out as shattered remnants of themselves.  A quick
check revealed that nothing of interest lay in these out-winding
remnants, but the in-winding spirals proved to be filled with
midgets.

After diving to a depth of 1e005, I found a pair of give-away
symmetrical elements and began zooming into the center of
symmetry.  The midget I found there appears as the midget in
today's FOTD.

The mathematical aspect of the midget is not exceptional; the
coloring is what makes the scene.  In fact I put so much effort
into coloring this image that I actually feel I'm in danger of
becoming a fractal artist.  At this rate, you'll soon be seeing
me creating fractals with something like multiple layers.

Of course, I'm jesting.  I would never desecrate a fractal by
dropping it on top of another image.  As for transforms -- who
knows.  When I calculate 1/C instead of C, I'm already doing a
transform.  Maybe sometime in the future I will use more complex
transforms, but for the foreseeable future it's fractal purity.

(In the sixth grade, Sister Theresa caught me staring at one of
the girls, and told me to keep my thoughts pure.  And now at
this late date I'm finally starting to do it.)

At a render time of 14-1/2 minutes, today's parameter file is
purely an invitation to impatience.  The logical thing to do is
to rush to the internet and go to the Usenet group:

          <alt.binaries.pictures.fractals>

where the file of the JPEG'd image has been posted.  The image
is also available, along with many back FOTD's, on Paul Lee's
web site at:

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

The clouds and chilly weather still prevailed today, though
there were a few more breaks of sun than yesterday.  The
temperature of 63F (17C) held the fractal cats' outing to a
disappointingly brief 15 minutes.

The philosophy is almost ready, faithful philosophy fans.
Tomorrow has a 50 percent chance of being the big day, the
next day, a 75 percent chance.

And I have a 100 percent chance of having come to the end of
another FOTD.  Until next time, take care, and beware of those
who belittle fractals.


Jim Muth
[e-mail]


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

A_Midget           { ; time=0:14:21.07 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+1.46069809767355500/+1.04719452779061900\
  /1.427221e+011/1/-2.499 params=1/2/1/20/-3/0 float=y
  maxiter=1800 inside=0 logmap=251 periodicity=10
  colors=000112<3>11021031341551A<3>B1LC1OD1SD1VD0ZD0a\
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  YzZczZjzYrzYuzWwzWz<4>zVzzVzzVz<3>zVzzYzzZzz_zzbzzcz\
  zezzfzziz<2>zmz
  }

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: Wed, 31 May 2000 19:39:31 -0500
From: David Kosokar <[e-mail]>
Subject: (fractint) Just tried a GHZ chip

I ran this par on a machine at work (Compaq with 1GHz Athlon running
Win98 and it finished in 6:49:32. I've used this par on many different
machines to benchmark their speed. My own K6-2 400MHz does it in
14:23:38.

It's a deep zoom using arbitrary precision originally by Jay Hill, I
think. I'd like to know your thoughts on my methods. I was running
Fractint 19.6 in Windows 98. Should I quit to DOS to get more accurate
readings?

Should I use integer range, floating point, or arbitrary? Or maybe all
three? Any other thoughts would be helpful.

I have watched this list in lurk mode for years, and I greatly admire
the beauty and creativity you all bring forth using our favorite fractal
program!

Keep those fractals coming!!

Deep Zoom Jay Hill {
  reset=1950 type=mandel

center-mag=-0.22815549365396181921458337174522594168584633202/1.11514250\
  8039937359745738033504392908720827794353/1.7e+044 params=0/0 float=y
  maxiter=99999

colors=CCCssS<6>ssEssCsqC<19>sECsCCqCC<21>ACCCCC<21>sCs<20>ECsCCsCEs<16>\

Cks<13>DFHECEECE<20>sCs<20>ECsCCsCEs<19>CqsCssCsq<19>CsECsCEsE<19>qsqsss\
  ssq<11>ssU
  }

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

Date: Wed, 31 May 2000 19:48:52 -0500
From: David Kosokar <[e-mail]>
Subject: Re: (fractint) Trouble with my web site

Dear Ron,

Have you noticed that your system clock is set to 2003? I guess things
must be pretty advanced where you live! Hohoho! Glad you got your site
worked out.

Have a wonderful day!

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

Date: Thu, 1 Jun 2000 00:28:07 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 01-06-00  (Mandelbrot Jungle [9])

FOTD -- June 01, 2000  (Rating 9)

Fractal visionaries and enthusiasts:

It's good to be able to start June off with a fractal even
better than the one that ended May.  The discussion is a bit
short, but the exceptional fractal more than makes up for it.

Today's midget is great enough in its real apparition, but its
spirit form is truly exceptional, rating a rare and honest 9 on
my fractal thermometer.  It is one of those midgets whose
formula contains negative powers of Z, and as a result
evaporates when the escape radius is raised to a value as
ridiculously large as 10^120.

The midget has vanished, but it left its ghost, which I have
revealed with a ghost-busting inside fill of bof61.  I named the
picture "Mandelbrot Jungle" when I was reminded of a lush
tropical jungle overlooking the warm ocean.  The formula
responsible for all the greenery is Z^(-1.9)+Z^(-19)+(1/C) --
another of those double-negative expressions that I'm currently
exploring.

The render time of just under nine minutes from the parameter
file is slow enough to make the download of the image file worth
the effort.  That download may be found on Usenet at:

          <alt.binaries.pictures.fractals>

and on the web at:

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

The fractal weather was sunny today for a change, with just a
few cottonpuff cumulus clouds to break the monotonous blue.  The
temperature of 68F (20C) made the cats happy just as the
exceptional fractal made me happy

Unfortunately, we have no philosophy today.  There was just too
much work.  But in between jobs I managed to ponder whether a
sufficiently advanced computer could be conscious, and if it
could, how we might possibly determine the fact.  I also
pondered the possible existence of intelligent life in space,
and how we might recognize it.

These topics have been discussed by some of the greatest minds
on earth for many years without resolution, so I doubt if I'll
be able to resolve them, but as soon as I get a break, I'll have
a few words to say.

But for now, it's time to call it a day and feed the fractal
cats, who are sitting beside the desk, giving me the works.
Until tomorrow and the next great fractal, take care, and life
is everywhere.


Jim Muth
[e-mail]


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

Mandelbrot_Jungle  { ; time=0:08:40.37 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+2.08848155850409300/+0.20326978762943990\
  /2.69709e+008/1/52.5 params=1/-1.9/1/-19/0/1e+120
  float=y maxiter=1400 bailout=25 inside=bof61
  logmap=80 symmetry=none periodicity=10
  colors=000000`e7`f3Yb2V_2TW2QU2OQ2MN1KK1GH1<3>740410\
  2000000C90TI0hS0000yb1yc3yf6zg9ziBzjEzmGznIzoOviUpc_\
  j_bAL_FLVKLSOLTpSStT<2>SPWSFYS6Y9z7EvBHoGLhLOaOQfVTi\
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  ao6cg6f_6iT7kL7oC7q67t<3>pm2000`fBTbFL_KCWN4TS0QV4PZ\
  <3>`LihKkpIowIqpFn000bAgY8eQ6aK3ZC1V00084Y<2>BMg000E\
  YnHTuLPz000GHhFE_<2>OP`QT`UW`W`a_caagaejagnaiqa000`g\
  YYaWTYUPTTLNQHIPCEN98M43K10IE9UQKebUpnbzh0ig0h<3>e9h\
  eBgcEg<3>aNfaPf`Sf`Uf`Wf<2>`_T``O`aL`bG
  }

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, 1 Jun 2000 08:10:03 -0400
From: Lee Skinner <[e-mail]>
Subject: (fractint) Calling Les St Clair

Les St Clair,

  I've tried sending you e-mail twice in the last 48 hours but it gets =

returned with the message:

"connection refused by moongate.btinternet.com"

Lee

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

Date: Thu, 1 Jun 2000 09:24:29 -0300
From: "Fliguer, Miguel" <[e-mail]>
Subject: RE: (fractint) Just tried a GHZ chip

David Kosokar wrote :

>>> I ran this par on a machine at work (Compaq with 1GHz Athlon running

Awesome machine !

>>> Should I use integer range, floating point, or arbitrary? Or maybe all
>>>three? Any other thoughts would be helpful.

You should definitely try the same PAR in both integer and floating point
modes (assuming they produce exactly the same image).

An interesting benchmark for your machine would be running the PAR posted
by Lee Skinner last April ( 196 days on a Pentium 300 Mhz ....). Details
can be found at http://www.fractalus.com/sylvie/mandel_e.htm

>>> Keep those fractals coming!!

Yeah !

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: Thu, 1 Jun 2000 17:54:06 +0100
From: Dorothy Gibbs <[e-mail]>
Subject: Re: (fractint) Calling Les St Clair

In message <[e-mail]>, Lee Skinner
<[e-mail]> writes
>Les St Clair,
>
>  I've tried sending you e-mail twice in the last 48 hours but it gets
>returned with the message:
>
>"connection refused by moongate.btinternet.com"
>

Hi Lee,
Long time no talk!
I am replying to the above just in case Les doesn't get your message.
There was something in the newspaper today to the effect that BTInternet
had suffered some sort of major disaster yesterday and that they were
working round the clock to fix it.
This may explain his silence?

Dorothy (trying to be helpful)

- ----------------------------------------------
Dorothy Gibbs (in the UK)
[e-mail]


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

Date: Thu, 1 Jun 2000 22:08:52 -0400
From: Lee Skinner <[e-mail]>
Subject: (fractint) Calling Les St Clair

Thanks for the heads up, Dorothy!

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

Date: Thu, 01 Jun 2000 22:22:16 -0400
From: Harry Bissell <[e-mail]>
Subject: Re: (fractint) FOTD, 01-06-00  (Mandelbrot Jungle [9])

Hi Jim....

It is indeed a beauty !!!    I don't see them all the time...
but since you gave it a "9" I HAD to look !!!

H^)   harry

Jim Muth wrote:

> FOTD -- June 01, 2000  (Rating 9)
>
> Fractal visionaries and enthusiasts:
>
> It's good to be able to start June off with a fractal even
> better than the one that ended May.  The discussion is a bit
> short, but the exceptional fractal more than makes up for it.
>
> Today's midget is great enough in its real apparition, but its
> spirit form is truly exceptional, rating a rare and honest 9 on
> my fractal thermometer.  It is one of those midgets whose
> formula contains negative powers of Z, and as a result
> evaporates when the escape radius is raised to a value as
> ridiculously large as 10^120.
>
> The midget has vanished, but it left its ghost, which I have
> revealed with a ghost-busting inside fill of bof61.  I named the
> picture "Mandelbrot Jungle" when I was reminded of a lush
> tropical jungle overlooking the warm ocean.  The formula
> responsible for all the greenery is Z^(-1.9)+Z^(-19)+(1/C) --
> another of those double-negative expressions that I'm currently
> exploring.
>
> The render time of just under nine minutes from the parameter
> file is slow enough to make the download of the image file worth
> the effort.  That download may be found on Usenet at:
>
>           <alt.binaries.pictures.fractals>
>
> and on the web at:
>
>           <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
>
> The fractal weather was sunny today for a change, with just a
> few cottonpuff cumulus clouds to break the monotonous blue.  The
> temperature of 68F (20C) made the cats happy just as the
> exceptional fractal made me happy
>
> Unfortunately, we have no philosophy today.  There was just too
> much work.  But in between jobs I managed to ponder whether a
> sufficiently advanced computer could be conscious, and if it
> could, how we might possibly determine the fact.  I also
> pondered the possible existence of intelligent life in space,
> and how we might recognize it.
>
> These topics have been discussed by some of the greatest minds
> on earth for many years without resolution, so I doubt if I'll
> be able to resolve them, but as soon as I get a break, I'll have
> a few words to say.
>
> But for now, it's time to call it a day and feed the fractal
> cats, who are sitting beside the desk, giving me the works.
> Until tomorrow and the next great fractal, take care, and life
> is everywhere.
>
> Jim Muth
> [e-mail]
>
> START 20.0 PAR-FORMULA FILE================================
>
> Mandelbrot_Jungle  { ; time=0:08:40.37 -- SF5 on a P200
>                      ;  Version 2000 Patchlevel 9
>   reset=2000 type=formula formulafile=critical.frm
>   formulaname=MandelbrotMix4 function=recip passes=1
>   center-mag=+2.08848155850409300/+0.20326978762943990\
>   /2.69709e+008/1/52.5 params=1/-1.9/1/-19/0/1e+120
>   float=y maxiter=1400 bailout=25 inside=bof61
>   logmap=80 symmetry=none periodicity=10
>   colors=000000`e7`f3Yb2V_2TW2QU2OQ2MN1KK1GH1<3>740410\
>   2000000C90TI0hS0000yb1yc3yf6zg9ziBzjEzmGznIzoOviUpc_\
>   j_bAL_FLVKLSOLTpSStT<2>SPWSFYS6Y9z7EvBHoGLhLOaOQfVTi\
>   a<2>Ytu<3>cVy000tIzhCzi7zhnHZbGOTFFIF407007E07V8ImEL\
>   zUMzePzUSzGUyGYzUpxFakLZ`PWOUTCZQ1bOAcPKcPTcPaePjePt\
>   ePzePzbOzpNz_MzpLzYLuVS000fSbZPhSOnOLiLHfIFpUGPeHBhO\
>   CzUEm`EofFqmGzsGuqNupUvp`zogvonwjexgWybNz_EmSN_KWNBz\
>   93z00z01z14z28z9BnGEzNGk<2>gNi000tSh`UiHWi0Yi3Yf9YbF\
>   Y_LYYQYUWYQaYNfYL<3>YYuVYzS`zPbzMexKgwGiuEktUYmhIgw4\
>   ao6cg6f_6iT7kL7oC7q67t<3>pm2000`fBTbFL_KCWN4TS0QV4PZ\
>   <3>`LihKkpIowIqpFn000bAgY8eQ6aK3ZC1V00084Y<2>BMg000E\
>   YnHTuLPz000GHhFE_<2>OP`QT`UW`W`a_caagaejagnaiqa000`g\
>   YYaWTYUPTTLNQHIPCEN98M43K10IE9UQKebUpnbzh0ig0h<3>e9h\
>   eBgcEg<3>aNfaPf`Sf`Uf`Wf<2>`_T``O`aL`bG
>   }
>
> 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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> Post Message:   [e-mail]
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End of fractint-digest V1 #478
******************************