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fractint-digest       Tuesday, November 28 2000       Volume 01 : Number 512




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

Date: Fri, 24 Nov 2000 10:26:13 -0600
From: "Jonathan Osuch" <[e-mail]>
Subject: Re: (fractint) SOI and LogMap?

Guy,

> I got one more question: Why is there such a big jump in the following
> [bailout.par] when amounting the bailout from 113 to 114? There are no
> changements <113 and >114. On other Bailout Tests are other values but the
> same jumps.. no changements before and after a certain value.

If you set those parameters (params=0/0/4/0 bailout=113) in the julzpower
type and switch back and forth between floating point and integer math,
you'll notice that what you are looking at are artifacts due to the limited
dynamic range of the integer math.  This carries over into the julibrot
fractal type.  I wouldn't worry about why the big jump occurs since the
integer math routines will be going away eventually.

Jonathan



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

Date: Fri, 24 Nov 2000 11:38:17 -0500
From: Harry Bissell <[e-mail]>
Subject: Re: (fractint) SOI and LogMap?

<delurk mode>

Integer modes going away ???

Will it be called FractFloat (or similar) then ???

<lmo>

H^) harry

Jonathan Osuch wrote:

> Guy,
>
> > I got one more question: Why is there such a big jump in the following
> > [bailout.par] when amounting the bailout from 113 to 114? There are no
> > changements <113 and >114. On other Bailout Tests are other values but the
> > same jumps.. no changements before and after a certain value.
>
> If you set those parameters (params=0/0/4/0 bailout=113) in the julzpower
> type and switch back and forth between floating point and integer math,
> you'll notice that what you are looking at are artifacts due to the limited
> dynamic range of the integer math.  This carries over into the julibrot
> fractal type.  I wouldn't worry about why the big jump occurs since the
> integer math routines will be going away eventually.
>
> Jonathan
>
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------------------------------

Date: Fri, 24 Nov 2000 17:23:54 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) Re: C-FOTD 23-11-00

At 11:24 AM 11/23/00 -0000, Andrew Coppin wrote:

>Wow! Now *that* is what I call a colour scheme. Fantastic! Jim, you
>are an inspiration to us all!

I'm glad you enjoyed my modest effort.  It's too bad that my literary
inspiration is currently lagging so far behind my fractal luck.  But
I've had these fallow periods before.  They always pass eventually.

C-FOTD to follow in a few hours.  Until then, take care, and do we
find fractals or create them?

Jim M.


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

Date: Fri, 24 Nov 2000 18:54:32 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) C-FOTD 24-11-00 (Heliosphere [6])

Classic FOTD --  November 25, 2000 (Rating 6)

Fractal visionaries and enthusiasts:

Today's fractal reminds me of a cross section of the sun, with
its churning plasmas and magnetic fields.  This is why I named
it "Heliosphere".  Studying the image, I considered rating it a
7, but due to my continuing down mood, I rated it a 6, which is
above average but not outstanding.

The image was created by iterating the fractal formula
- -15Z^(-1.15)-Z^(-11.5)+(1/C), with the escape radius set at 600.
These are the same parameters as those of yesterday's "Liquid"
fractal, and today's image is therefore part of the same fractal
as yesterday's.

The parameter file render time of 14-plus minutes is faster than
yesterday's, but still slow enough to make the easy download the
better choice.  That download may be found on Usenet, posted to
the binary group:

          <alt.binaries.pictures.fractals>

In an hour or so, the image will also be available on Paul Lee's
web site at the URL:

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

The weather today here at Fractal Central moderated from the
unseasonable cold that has prevailed most of this week.  The
temperature of 40 however was still far too chilly for the
dynamic duo of fractal cats, who chose to pass the afternoon on
their blanket by the big radiator.  At least the cats were happy.

As for me, I'm still in my melancholy mood, which affects my
literary inspiration much more than my fractal luck.  Strangely
enough, I'm not sure why I'm so unsettled.  The doldrums may
wear off by tomorrow, though I'm not counting on it.

Regardless, I'll return in 24 hours with another fractal, and if
I have no philosophy, I'll have at least a few words about the
fractal.  Until then, take care, and be of good cheer.


Jim Muth
[e-mail]


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

Heliosphere        { ; time=0:14:13.55 -- SF5 on a P200
  reset=2001 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+0.4654990346770224/-3.884180985250454/61\
  65647/1/29.999 params=15/-1.15/1/-11.5/-2/500 float=y
  maxiter=3600 inside=0 logmap=227 periodicity=10
  colors=000000000000<3>0000000000000000000200400840AA\
  0EE2GH6JNALREPXHR`LVdPXiT`mVboL`qPZr<2>`RudPqgRokVko\
  Xgs`dvb`zc_<3>ohWliVijU<2>`mR<2>PsXLuZHvZEx`Azb6zd2z\
  e0zg0zi0zk0zk0zg0ze0zd4zb8z`CxX<2>PsRTqPXoL<3>kgEdeC\
  ZdARbAL`8EZ68X60V40T20R20T00V00X04X08Z0C`0E`0GV6HPGH\
  LPJG`LAiL6sN0zP0zP0zV0z<3>i0zm0zq0xu0ux0qz0mz0iz0ez0\
  bz0`<2>z0kv6oqGskNvgXzbdzXmzTuzNzzHzzEzzGzzHzzHzzJzz\
  JuzLqvLksNgoNdkCTe0Jb08Z00V0CP8NLNZHbkEqvAzz6zzEzzJz\
  zPzzXzzbzzgzzozwuzszzmzzmzzAzzAzxAzsismmigs`bxTXzJRz\
  ALz2Gz0Az0Cz0Ez0Ez6GzCGzJHzPHzXJzbJziLzoLzuZiviNvv0x\
  z0xz0qx0iu0b<3>dV8`b0Xi0Tq0Px0Lz0Nz0Pz0Pz0Rz0Tz0Tz0V\
  z0Vz0Pz4JzCGzLAzT6zb0zi0zs0zz<2>0zz0zz0zx<2>0zN6zJEz\
  HLzGTzE`zA<2>vz4zzzqzzgzzZzoPzd<2>0z60z0<2>0z00z60zN\
  4zdLzNbz8dzA<4>mzAozAqzC0zA0z8
  }

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: Fri, 24 Nov 2000 17:23:54 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) Re: C-FOTD 23-11-00

At 11:24 AM 11/23/00 -0000, Andrew Coppin wrote:

>Wow! Now *that* is what I call a colour scheme. Fantastic! Jim, you
>are an inspiration to us all!

I'm glad you enjoyed my modest effort.  It's too bad that my literary
inspiration is currently lagging so far behind my fractal luck.  But
I've had these fallow periods before.  They always pass eventually.

C-FOTD to follow in a few hours.  Until then, take care, and do we
find fractals or create them?

Jim M.


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

Date: Sat, 25 Nov 2000 05:49:09 -0500
From: "Multiple Bogeys" <[e-mail]>
Subject: Re: (fractint) Re: C-FOTD 23-11-00

>Wow! Now *that* is what I call a colour scheme. Fantastic! Jim, you
>are an inspiration to us all!

Seconded.
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------------------------------

Date: Sat, 25 Nov 2000 16:35:54 EST
From: [e-mail]
Subject: (fractint) 3-D pars

One of my favorite aspects of Fractint 20.0 is its option of making 3-D
images, stereo pairs and random dot stereograms. Unfortunately, I have not
found a way to make parameter files of them. A couple years ago, Les Sinclair
posted to the List some 3-D transforms by using pairs of pars, but even that
option seems to be unavailable to stereo pairs and stereograms. Can someone
help?

Lee Lane

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

Date: Sat, 25 Nov 2000 21:34:46 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) C-FOTD 26-11-00 (Study Number One [5])

Classic FOTD -- November 26, 2000 (Rating 5)

Fractal visionaries and enthusiasts:

At first glance, the formula Z+1/Z+1/C would not appear to have
much potential for creating fractals.  But as today's image
shows, in the world of fractals, things are not always as they
would appear.  The formula actually creates quite an unusual
fractal, filled with midgets surrounded by caterpillar-like
spirals.

Unable to think of an alternate name for today's fractal, and
not wanting to name it "Caterpillars", I gave it the technical
name "Study-01", which like "Symphony in E flat major" is
nothing more than a description by which the work may be
indexed.  The rating of 5 reasonably represents this average-
quality fractal.

The 5-1/2 minute render time is a bit slow.  The cure is to
download the file of the already-rendered GIF image from:

          <alt.binaries.pictures.fractals>

or from:

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

The fractal weather today was cloudy and cold.  At nightfall a
steady light rain set in, which is still continuing.  The day
was unpleasant enough for humans; for fractal cats it was
unbearable.  The cats passed the day sprawled by the warmest
radiators they could find.

And I'm going to pass the rest of the evening in my traditional
Saturday evening routine -- watching a junky old sci-fi or
horror movie on TV.

I shall return tomorrow.  Until then, take care, and if the
universe is a great accident, who or what had the accident?


Jim Muth
[e-mail]


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

Study_Number_One   { ; time=0:05:39.33 -- SF5 on a P200
  reset=2001 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+0.26049780581950650/-0.00067297120701050\
  /3.805436e+007/1/169.999 params=1/1/1/-1/-2.5/200
  float=y maxiter=1400 inside=0 logmap=78 periodicity=9
  colors=0000BC<2>0D70E60F30G1<3>0K00L00M0<2>1P0<3>KS0\
  MS0RT0VV0_V0aW0fW0jY1n_3q_4v`6z`7za9zd6<2>zYFzVIxTLv\
  RO<2>nKinIpmIwqOzwTzzfzz_zvSzpLwjDpd6ia7a_9WY9VVATTA\
  SRCSOCRMDPKDOIFMHFMHHMIHMIHMKHMLHTPHTVHVWHVYH__HV_HS\
  _HP_HMYIIYKFYKCYL9YM4YO1YP0YP0`R1cS7fSCiTIkVMnVSqWWt\
  WawYfz_kz_pz`vzYzz`z<3>zfszap<2>zPkzLizIgzDfz9dx4aw0\
  `v0_t0Y<5>t0ft0gt0it0jt0kt0mt0m<3>t0st0tt0vt0wt0xt0z\
  <2>t0zp0zk4zgAxdFx`LwWPvSVtP_tLdsHiqCnp9sp4xn0zm0zn0\
  zm0zk<2>0zi0zi1zg1zg1zf3zd3zd4zc4zc6za<2>7z_7z_9zY9z\
  W<2>AzVHzTLzSPwRTsPVnO<2>VaKVfH<2>_sC`wAaz9cz1dx0<3>\
  jv0kx1mzC<3>szptzzvzzwzzxzzzzwzzszxn<2>znazkYziTzdPz\
  aLz_HzWCzT7zV4zi7zw9zzCzzD<3>zzCzzCzwC<3>zkCziCzfCzg\
  FzgHziKziLziO<2>zjTzkVzkYzk_zmazmczmdzkfzjgziiziizii
  }

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 Nov 2000 23:29:15 -0800
From: Karl Simanonok <[e-mail]>
Subject: (fractint) Universe

Hi Jim,

This is a really great quote.  Are you the originator, or is it someone
else's?

Regards,

Karl S.

At 09:34 PM 11/25/2000 -0500, you wrote:
>if the universe is a great accident, who or what had the accident?



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

Date: Sun, 26 Nov 2000 12:46:46 EST
From: [e-mail]
Subject: (fractint) Re: Universe

I wrote in the FOTD of 26-11-00

<If the universe is a great accident, who or what had the accident?>

Karl replied:

<<
 Hi Jim,

 This is a really great quote.  Are you the originator, or is it someone
 else's?

 Regards,

 Karl S.
  >>

The quote is original with me.  I thought of the quote about 10 seconds
before I wrote it.  But I do a lot of reading about such topics, and I could
have picked it up from some forgotten source.

Jim M.

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

Date: Mon, 27 Nov 2000 00:22:51 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) C-FOTD 27-11-00 (Square Roof of Two [5])

Classic FOTD -- November 27, 2000 (Rating 5)

Fractal visionaries and enthusiasts:

Today's C-FOTD is named "Square Root of Two".  The reason is
that the exponent of Z is sqrt(2).  I rated the picture a 5
because I doubt that it is worth any more than that.

To add to the interest, I calculated a part of the image far out
in a negative direction on the infinite spiral of the complex
logarithm.  The value of -1234567890 that I entered is totally
whimsical, and why not?  Doing things on a whim is great fun.

Though midgets of order 1.414... are hard to find, the search,
as today's image illustrates, can be worth the effort.  The draw
time of the parameter file is a slow 11-3/4 minutes; the down-
load time is far shorter.  Look for the download on Usenet at:

          <alt.binaries.pictures.fractals>

and in an hour or so on Usenet at:

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

The fractal weather today here at Fractal H.Q. was cloudy in the
morning, with intermittent heavy showers, followed by clearing
in the afternoon.  The temperature of 56 brought out the cats,
though the wet grass dampened their adventurous spirits.

And I, having my spirit dampened by world events, am ready to
shut down the fractal shoppe and declare the day closed.  Until
tomorrow, take care, and then take even more care.


Jim Muth
[e-mail]


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

Square_Root_of_Two { ; time=0:11:47.44 -- SF5 on a P200
  reset=2001 type=formula formulafile=branchct.frm
  formulaname=MandelbrotBC passes=1
  center-mag=+0.7234134339563163/-0.1756656620377885/6\
  71159.7/1/-22.5 params=1.414213562373/0/-1234567890/0
  float=y maxiter=50000 inside=0 periodicity=10
  colors=0004Ag38k28n07r07v06y06z04z04zSBizHKzHI<2>zI8\
  zNHzSOyYXwabaaE_bBZcAXe7Vf4Ug3Qf7NeAJeDHcH<2>7bOBaRF\
  aUJ_XM_ZQZaUZcXYf_YicXkgXnjVqnVsrUvuUyySzzSzzSznIzZ7\
  uJ0oK4j<2>KOYKVUMbOMiKMoHMvBMz7Mz3Nz8NrEOiJOaOQSU<2>\
  R3gF2U30H84KD7OIASMDXRF_VIc_KgcOjiRn<2>vZzzazzczzfzz\
  gzvgzogwigsbgoXij<3>6iVAgX<4>NfbQfcSfeVffYffaeg<2>ie\
  kkemncnqcoscqvcrycrzeszeu<2>zfvzfwzgy<2>zgzzkyzoyzrw\
  zvwzzwzzvzzvzzvzzszzqzznzzmzyjzvgzufzrczqaznZzmYzjVz\
  iSzfRzeOzbMzaJzZIzYFzVDzVA<2>zUBvSBsSBoSBmRBiRBfRBbR\
  BZQDXQDSQDQODMODJODFNDDND8ND07H6NDHaARo7ez0az4YwAVrF\
  RkMOfRK_XIVaEOg<2>47w84yD2yH0yK0yO0zN0yN0vN0sN0qN0mN\
  0jN0gN0eN0aN0ZN0X<2>N0NN0KN0IN0E<3>N03K07J3BI7EHAIFE\
  KEHODJS<2>8Ua7Xe6ZgAagDbgFcgIfgMggOigRkgUmgYng_qgbrg\
  esgbzigugenZkefqXnJFHIEJHENEDRDDUBBY8Ba7Ac
  }

frm:MandelbrotBC = { ; Z = Z^E + C
  e=p1
  p=real(p2)+PI
  q=2*PI*trunc(p/(2*PI))
  r=real(p2)-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<100
}

END 20.0 PAR-FORMULA FILE==================================


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

Date: Mon, 27 Nov 2000 10:29:09 -0000
From: "Andrew Coppin" <[e-mail]>
Subject: (fractint) C-FOTDs

Te he... The Square Roof of 2?
                       ^

Erm, sorry for my stupidity, but wouldn't Z+1/Z+1 = 1? In that case,
Z+1/Z+1/C reduced to 1/C. Or is the entire fractal the result of some
internal artifact of FractInt's parser logic or something? Maybe I'm just
dense...

BTW, I've come up with a formula that does something very strange. I was
working on the formula Z = Z^3 - 3(A^2)Z + B, which is apparently the
generalized form of the cubic equation. (OK, whatever.) Anyway, drawing
Julias is fine, but drawing the Mandelbrot set poses a problem. The formula
has two critical points to iterate: +A and -A. The Mandelbrot set is the
intersection of the two sets generated by iteration these two start points.
Fine, I thought. I'll have two iteration variables.

Anyway, the formula works, but it does something I've never seen before.
With the right colour scheme (bud1.map), for certain parameters you get a
scene involving a very mangled pair of Mandelbrot sets. Closer inspection
reveals that parts of the lace-like structures that radiate out from all
Mandeloids is "missing". But there is still a very faint "shaddow" of the
fronds. Very spooky. I don't have the formula with me right now, but as soon
as I can I'll post pars. (The other interesting thing is that you get
well-formed Mandelbrots that are disconnected.)

Andrew.

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

Date: Mon, 27 Nov 2000 07:13:13 -0500
From: Lee Skinner <[e-mail]>
Subject: (fractint) C-FOTDs

I'd love to see those pars, Andrew.  Here's one for you (slow, but worth
it!)

61124009           { ;                                       t=3D  5:03:0=
3.47
                     ; on a P233 at 1600x1200  Nov 27, 2000  05:07:51
                     ; Image Copyright 2000 by Lee H. Skinner ver=3D2001
                     ;  Version 2001 Patchlevel 3
  reset=3D2001 type=3Dformula formulafile=3Dfractint.frm
  formulaname=3Dmandelbrotmix4 function=3Drecip passes=3D1
  center-mag=3D+2.71707619839821900/-0.94866867868312280/5936.513/1/-122.=
5
  params=3D15/-1.15/1/-11.5/-2/500 float=3Dy maxiter=3D3600 inside=3D0
  logmap=3D231 symmetry=3Dnone periodicity=3D9
  colors=3D000Mg2Mg2Lh1<40>ul1vl1wl1xl1yl1zm0<29>zF0zE0zD0<2>zA0z80z82<13=
>z4\
  bz3ez3g<3>z2r<3>zmxzzzruz<3>N`zFWz6Qz<3>SLmYKicJf<3>pKcsKbvKazL`<6>zQPz=
R\
  NzRL<3>zUD<3>nI9jF8gC6<3>V01<2>yB3<14>yfAyhByjB<2>ypDysEytF<2>zwHzwIzvK=
<\
  3>zuQ<3>cvnYwuXvu<4>OpvNnvLmw<3>Ehx<3>8Th7Pd5L`<2>08P<3>9IJBLHDNG<3>NY9=
<\
  30>Mg2
  }

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

Date: Mon, 27 Nov 2000 15:33:32 -0000
From: "Andrew Coppin" <[e-mail]>
Subject: Re: (fractint) C-FOTDs

>From: Lee Skinner <[e-mail]>
>Reply-To: [e-mail]
>To: [e-mail]
>Subject: (fractint) C-FOTDs
>Date: Mon, 27 Nov 2000 07:13:13 -0500
>
>I'd love to see those pars, Andrew.  Here's one for you (slow, but worth
>it!)
>
>61124009 <SNIP>

Well, I've typed the formula back in from memory here at uni (I did the
origanol at home). And the map wasn't bud1.map, in fact I can't remember
what is was at all. But the .par below shows a good approximation of what I
had...

- ---BEGIN CUBIC.FRM---
CubicJulia { ; By Andrew Coppin, [e-mail]
  A = p1
  B = p2
  Z = Pixel
  T = 3*Sqr(A):
    Z = Z*Z*Z - T*Z + B
  |Z| < 4
}

CubicMandelUnion { ; By Andrew Coppin, [e-mail]
  ; If real(p1) = 0, draw B-plane, else A-plane.
  IF(real(p1)>0)
    A = Pixel
    B = p2
  ELSE
    A = p2
    B = Pixel
  ENDIF
  ZP =  A
  ZM = -A
  T = 3*Sqr(A):
    ZP = ZP*ZP*ZP - T*ZP + B
    ZM = ZM*ZM*ZM - T*ZM + B
    IF(|ZP|>|ZM|)
      Z = ZP
    ELSE
      Z = ZM
    ENDIF
  |Z| < 4
}
- ---END CUBIC.FRM---

- ---BEGIN CUBIC.PAR---
Shaddows           { ; Weird...
  reset=2000 type=formula formulafile=cubic.frm
  formulaname=CubicMandelUnion passes=g
  center-mag=-0.61165285379202610/+0.15953079178885670/32.96414
  params=1/0/0.5/0 float=y maxiter=4096 inside=255
  colors=mob<9>YjdXidVhdUhdSgdQfe<3>NcbNbaMa`L`_<7>BNMALL8JJ7IH<3>3CB2AA29\
  9<2>366356245234235236<3>22D31F42H42J53M64P<10>L3iM3kN3m<3>T2uU1vV1xX0z<\
  9>TJzSKzSMzROzRQzQSz<9>YYtYZtZ_s<2>aaqbbpddr<3>llz<3>hasgZqeWo<10>ZFbYD`\
  YB_XAZW8YV6W<12>I2JH1IG1H<2>D0DC0CB1B<3>727626255244333222<2>414515717<2\
  >B0DC0FC0H<3>G0PH0RH0S<8>K0fL0hL0j<2>M0oN0qN0q<7>S7tT8tT8uU9uVAuVBv<10>k\
  IelJcnJaoK`qLZsMX<3>rQWrSVrTV<2>rYUrZUr`VraVrcVrdVqfW<3>qkbqmdqnfqphqqjp\
  sl<4>oqf000kkk
  }
- ---END CUBIC.PAR---

I have a feeling Hotmail is going to word-wrap that. Oh well. It renders at
1280x1024 in under 10 minuites, so it's not that slow in the grand scheme of
things. You'll notice it sets params=1/0/0.5/0.
That means "draw the A-Plane, with B=0.5+0i". I've done a little zoom in.
But everywhere you look you find shaddows. Very strange effect. If anyone
comes up with any good .pars for this formula, let me know!!!

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Date: Mon, 27 Nov 2000 15:44:37 -0000
From: "Andrew Coppin" <[e-mail]>
Subject: Re: (fractint) C-FOTDs

>From: Lee Skinner <[e-mail]>
>Reply-To: [e-mail]
>To: [e-mail]
>Subject: (fractint) C-FOTDs
>Date: Mon, 27 Nov 2000 07:13:13 -0500
>
>I'd love to see those pars, Andrew.  Here's one for you (slow, but worth
>it!)
>
>61124009           { ;                                       t=  5:03:03.47
>                      ; on a P233 at 1600x1200  Nov 27, 2000  05:07:51
>                      ; Image Copyright 2000 by Lee H. Skinner ver=2001
>                      ;  Version 2001 Patchlevel 3
>   reset=2001 type=formula formulafile=fractint.frm
>   formulaname=mandelbrotmix4 function=recip passes=1
>   center-mag=+2.71707619839821900/-0.94866867868312280/5936.513/1/-122.5
>   params=15/-1.15/1/-11.5/-2/500 float=y maxiter=3600 inside=0
>   logmap=231 symmetry=none periodicity=9
  <SNIP!>

formulafile=fractint.frm
formulaname=mandelbrotmix4
Not on my system! Oh well, I'll have to wait for Jim's next C-FOTD,
in which he will inevatably repost that formula. (Well... maybe he'll just
my MandelbrotBC formula instead... or maybe even CubicMandelUnion! I can
dream can't I?...)

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

Date: Mon, 27 Nov 2000 20:48:48 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) C-FOTD 28-11-00 (Spooky Radicals [4])

Classic FOTD -- November 28, 2000 (Rating 4)

Fractal visionaries and enthusiasts:

Does two have a square roof?  According to yesterday's C-FOTD it
does.  It also has a square root, but then so does a tree
growing in a square pot.  But regardless of whether the roof or
root is square, the image is the same.

This morning's letter from Andrew Coppin that mentions the
square roof also mentions spooky things that sometimes happen in
the world of fractals, where ghosts of things that no longer
exist are sometimes visible.  I can't comment on the fractal
that Andrew was referring to because I have not seen it, but I
have done lots of experimenting with fractal ghosts in my 13
years of fractaling.

These ghosts are quite common, needing only the proper color
scheme to make them evident.  They exist in all planes and all
orientations of four-dimensional Julibrots except the Julia
sets.  Today's picture shows some very obvious ghost-buds in one
of the perturbed Mandelbrot sets.

The ghosts are indeed shadows of things that exist in other
planes.  In today's picture, the brilliant bud-like outlines in
the background are shadows of the buds that exist at the same
coordinates in the unperturbed Mandelbrot set.  To see the buds
unobscured, simply change the Z parameters of today's image to
0,0.

The reason the ghosts exist can be explained by the geometry of
the four-dimensional Julibrot.  I'll not go into the involved
explanation at this time, other than to say that the Mandelbrot
shape exists as an interrupted 4-D hypercylinder in the Julibrot.

The coloring of today's image was done with the under-utilized
ranges and banding features of Fractint.  A total of only 13
colors are used in the image, though the impression is one of
far more colors.

I named the picture "Spooky Radicals" after the ghost-like
outlines of the buds.  (A radical consists of a bud plus all its
associated filaments and midgets.)  I rated the picture a 4,
which may be a bit modest.

With a render time of just under 5 minutes, running the
parameter file risks impatience.  The remedy is to download the
GIF image file from:

          <alt.binaries.pictures.fractals>

or from:

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

The fractal weather today was partly sunny, with a temperature
of 57F (14C), which was mild enough for the fractal cats to
enjoy several hours out of doors.

The philosophy is still stifled by the ridiculous political
situation here in the U.S., which is giving me no end of
frustration.  I suppose we'll have no philosophy until we have
a president.

Right now, I'm going to ignore a couple pressing tasks and have
myself an enjoyable evening before the TV.  I'll return tomorrow
with fractal and blather.  Until then, take care, but not so
much care that it stops being fun.


Jim Muth
[e-mail]


START 20.0 PARAMETER FILE==================================

Spooky_Radicals    { ; time=0:04:44.18 -- SF5 on a P200
  reset=2000 type=mandel passes=1
  center-mag=-0.20959612173315630/+0.64448795330341930\
  /817.6347/1/-7.499 params=0.75/-0.45 float=y
  maxiter=32767 inside=13 logmap=46 periodicity=10
  ranges=0/-1/240/250/270/310/390/640/990/1400/2500/50\
  00/32767 sound=off
  colors=000K00YPQUK5<4>UhUUmZUrccwmhzzOKX000<240>000
  }

END 20.0 PARAMETER FILE====================================


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

Date: Tue, 28 Nov 2000 11:02:13 -0000
From: "Andrew Coppin" <[e-mail]>
Subject: Re: (fractint) C-FOTD 28-11-00 (Spooky Radicals [4])

>From: Jim Muth <[e-mail]>
>Reply-To: [e-mail]
>To: [e-mail]
>CC: [e-mail]
>Subject: (fractint) C-FOTD 28-11-00 (Spooky Radicals [4])
>Date: Mon, 27 Nov 2000 20:48:48 -0500 (EST)
>
>
>Classic FOTD -- November 28, 2000 (Rating 4)

>This morning's letter from Andrew Coppin that mentions the
>square roof also mentions spooky things that sometimes happen in
>the world of fractals, where ghosts of things that no longer
>exist are sometimes visible.  I can't comment on the fractal
>that Andrew was referring to because I have not seen it, but I
>have done lots of experimenting with fractal ghosts in my 13
>years of fractaling.

Jeepers creepers! Now *that* is one unusual image! Nice one!

If you (or anyone else) wants to see the image I mentioned without fiddling
around with the .par I posted, fire up your fav. browser and type

http://lyta.mk.dmu.ac.uk/~khcm8ac/DWeb/Assign/FI20/Shaddows.gif

This will show you a 1280x1024 GIF of the image that got me so excited. I
really have no idea how it works (the single-orbit version shows no such
shaddows, so it's not a feature of the cubic formula, it must be my
dual-orbit logic). The further I zoom, the more interesting stuff I find.

Now here's a challenge: I have yet to find any midgets within this image.
Can Jim or anyone else do so? (Without changing the parameters from
param=1/0/0.5/0!) Can I do it first? We shall see...

Let's race!
Andrew.

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

Date: Tue, 28 Nov 2000 07:58:01 -0500
From: "Multiple Bogeys" <[e-mail]>
Subject: Re: (fractint) C-FOTD 28-11-00 (Spooky Radicals [4])

Funky. I've seen this kind of thing before with formulas that combine
multiple critical points. It's normal, but cool.

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

Date: Tue, 28 Nov 2000 08:58:17 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) Re: C-FOTD 28-11-00

At 11:02 AM 11/28/00 -0000, Andrew Coppin wrote:

      <snip>
>Now here's a challenge: I have yet to find any midgets within this image.
   [found at]

    <http://lyta.mk.dmu.ac.uk/~khcm8ac/DWeb/Assign/FI20/Shaddows.gif>

>Can Jim or anyone else do so? (Without changing the parameters from
>param=1/0/0.5/0!) Can I do it first? We shall see...
>
>Let's race!

The race would be futile unless the parameters are changed.  The present
parameters draw a fractal with perturbed Mandelbrot features, and such
fractals do not contain intact Mandelbrot midgets.

Jim M.


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

Date: Tue, 28 Nov 2000 14:07:45 -0000
From: "Andrew Coppin" <[e-mail]>
Subject: Re: (fractint) Re: C-FOTD 28-11-00

>From: Jim Muth <[e-mail]>
>Reply-To: [e-mail]
>To: [e-mail]
>Subject: (fractint) Re: C-FOTD 28-11-00
>Date: Tue, 28 Nov 2000 08:58:17 -0500 (EST)
>
>At 11:02 AM 11/28/00 -0000, Andrew Coppin wrote:
>
>       <snip>
> >Now here's a challenge: I have yet to find any midgets within this image.
>    [found at]
>
>     <http://lyta.mk.dmu.ac.uk/~khcm8ac/DWeb/Assign/FI20/Shaddows.gif>
>
> >Can Jim or anyone else do so? (Without changing the parameters from
> >param=1/0/0.5/0!) Can I do it first? We shall see...
> >
> >Let's race!
>
>The race would be futile unless the parameters are changed.  The present
>parameters draw a fractal with perturbed Mandelbrot features, and such
>fractals do not contain intact Mandelbrot midgets.
>
>Jim M.

Fantastic. I'm beaten before the race even starts!

I wonder... the B-plane seems to draw more intact features... maybe I can
find something here.

BTW. I have found an almost-intact midget in with the parameters above. It
has the classic cardiod body and the period 2 bud with its negative tail,
but the sides are missing!

As a matter of interest, BOF recons that all quadratic fractals are
equivalent to the classic Z^2 + C by a change of variables, and that all
cubics are equivalent to the formula I used (Z^3 - 3(A^2) + B). I don't get
it. Does anyone else?

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

Date: Tue, 28 Nov 2000 15:21:21 -0500
From: Mike Traynor <[e-mail]>
Subject: Re: (fractint) C-FOTDs

Andrew,

> CubicJulia { ; By Andrew Coppin, [e-mail]
>   A = p1
>   B = p2
>   Z = Pixel
>   T = 3*Sqr(A):
>     Z = Z*Z*Z - T*Z + B
>   |Z| < 4
> }

I already have a similar formula called CubicJulia in my orgform collection (not my formula, in
case that is not clear).  Is the formula above supposed to differ, or is it a product of your
being at uni and not home when you posted? Here it is:

CubicJulia {
  A = p1
  B = p2
  T = 3*A*A
  Z = Pixel:
  Z = Z*Z*Z - T*Z + B
  |Z| < 4
  ;SOURCE: 99msg.frm
}


Mike

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

Date: Tue, 28 Nov 2000 16:47:10 -0600
From: Tim Wegner <[e-mail]>
Subject: (fractint) linux/X's 24bit pixels

Note: the author tried to post this to the fractint list, but couldn't
because he is not a member, so I posted it.

Tim

>From [e-mail] Tue Nov 28 06:59:16 2000
To: [e-mail]
Subject: linux/X's 24bit pixels
Message-ID: <Pine.LNX.3.96.1001128070839.21271A-100000@localhost>
MIME-Version: 1.0
Content-Type: TEXT/PLAIN; charset=US-ASCII


I have rudely and naively hacked up xfractint-3.10 and hard-wired it for
24bit colored pixels under Linux/X3.3.6. It is a mess, not suited for
distribution in any respect. No fancy color hacks or anything and there
are lots of, um, issues, outstanding. Is there any interest in this? It is
still buggy  to be sure, but, more or less, at least it is color (heres' a
png screenshot. It shows Xfractint  with that wonderful ;-) vga dac color
map and also shows some compression-distorted xwininfo info (235k):
http://members.nbci.com/mlarch/xfractint-screenshot.png ).


I don't know what the state of things are with fractint and Linux and X,
I'm way way out of the loop, someone else may have done (probably did do)
this long long ago. Whatever. If your interested there is a a tar.gz at
http://members.nbci.com/mlarch/xf-hacks.tar.gz (104k)


P.S.
I am not on the fractint mailing list so if you wish to contact me use:
mailto://[e-mail]


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

End of fractint-digest V1 #512
******************************