Jim muth is a nihilist.

23 Dec 2004


      Too sad! -david
----- Original Message ----- 
From: <fractint-request@mailman.xmission.com>
To: <fractint@mailman.xmission.com>
Sent: Thursday, December 23, 2004 8:52 AM
Subject: Fractint Digest, Vol 22, Issue 10
...
Send Fractint mailing list submissions to
fractint@mailman.xmission.com
To subscribe or unsubscribe via the World Wide Web, visit
http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint
or, via email, send a message with subject or body 'help' to
fractint-request@mailman.xmission.com
You can reach the person managing the list at
fractint-owner@mailman.xmission.com
When replying, please edit your Subject line so it is more specific
than "Re: Contents of Fractint digest..."
Today's Topics:
1. FOTD  17-12-04  (Gift Wrappings [6]) (Jim Muth)
  2. FOTD  20-12-04  (Fractal Flight [5]) (Jim Muth)
  3. FOTD  21-12-04  (Otherworld Fractal [6]) (Jim Muth)
  4. FOTD  22-12-04  (Super Something [7]) (Jim Muth)
  5. FOTD  23-12-04  (Comb Filter [7]) (Jim Muth)
----------------------------------------------------------------------
Message: 1
Date: Fri, 17 Dec 2004 12:05:03 -0500
From: Jim Muth <jamth@mindspring.com>
Subject: [Fractint] FOTD  17-12-04  (Gift Wrappings [6])
To: fractint@mailman.xmission.com
Cc: philofractal@lists.fractalus.com
Message-ID: <1.5.4.16.20041217120654.2b7fe760@pop.mindspring.com>
Content-Type: text/plain; charset="us-ascii"
FOTD -- December 17, 2004 (Rating 6)
Fractal visionaries and enthusiasts:
The work is once again falling behind.  This will make it 
necessary for me to cut today's discussion short.  The fractal 
is a harmless one created by the MandelbrotMix4 formula, which I 
have not used for several months.  By setting the outside to 
'real' I was able to create the effect of gift-wrap ribbons, 
inspiring the name "Gift Wrappings".
The rating of a 6 indicates that I consider the image a little 
above average.  The calculation time of 4 minutes gives an 
overall worth of 141.  The image, for all it is worth, may be 
seen without the need of running a parameter file by downloading 
it from the FOTD web site at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
With a temperature of 46F 8C, Thursday afternoon was mild enough 
for the cats to enjoy an hour in the yard.  When they decided to 
come in, they found the tuna waiting.  All in all, it was a 
pleasant day for the dynamic duo.  Today promises to be even 
milder, giving hopes of another pleasant day.
For me the work is starting to pile up again, which will make it 
necessary to miss a couple FOTD's, so until Monday the 20th, 
take care, and be happy when things go right.
Jim Muth
jamth@mindspring.com
jimmuth@aol.com
START PARAMETER FILE=======================================
Gift_Wrappings     { ; time=0:04:15.79--SF5 on a P200
 reset=2004 type=formula formulafile=allinone.frm
 formulaname=MandelbrotMix4 function=recip passes=1
 center-mag=-0.86475218508526370/+1.147793265057561\
 00/1.340255e+007/1/-7.5/1.38198046488735571e-005
 params=0.1/-1.1/-1.1/1.1/0/0 float=y maxiter=1000
 inside=0 outside=real periodicity=10
 colors=0001dm4pt7cmARiDGdG4`K7ZNAZRBYVEYYHWaIWdLVg\
 NVdLTaLRZKRWKQTKOQIONINKHLHHLEHKBGI8GI5EH2EG0EG0DE\
 0DD0DDarY`mTZjOZgKYdHYaDWZ8WW4VT1VQ0TN0TK0WH0YG0`E\
 0aD0dB0eA1g82j74l57o48p1At0Bu0Ew0Gz0Hz0Iz0Lz0Nz0Oz\
 0Qz0Rz0Qz0Oz0Nz0Nz0Lz0Kz0Kz0Iz0Hz0Gz0Gz0Ez0Dz0Dz0B\
 z0Az0AtDdaZzYWzTTzOQxKNwHKuHItHIpHHmIHkIHiIImINnHT\
 oGYpGYzKVoNLdRBVW2Ka0Ae00j00oK0t30xO0zT0zX1zT4zP5z\
 O8zVBz`DzeGzlHzrKzxLxwOxuRxtVwrYwpZwoaumdulgujiuil\
 uipugutexteztdztdzrazrZzrWurVprRlpOgpNcpKZpHVpEQpD\
 LoAHo7Do58o24o00o00m10m20m40m50m81mA1mB2mD4lE4lH5l\
 I7lK7lL8lNAlQAlRBjTDjVDjWEjZGj`GjaHjcIjdIdQZZBzV0z\
 W0zY0zY0zZ0zZ0z`0z`0za0za0zc0zc0zd0zd0ze0ze0zg0zg0\
 zi0zi0zj0zj0zl0zl0zj0zi0zg0zg0ze0zd0zd0zc0za1z`2z`\
 4zZ5zY8zYAzWBzVDzVEzRGzQHzNIzLKzKLzIKtHKoGKlGKjEKi\
 DKeDKdBKcAI`AIZ8IW7IV7IT5IQ4IO4IN4KN4LN4NN4ON2QN2R\
 N2TN2VN2WN2WN05V05V0Ha0Tg }
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 PARAMETER FILE=========================================
------------------------------
Message: 2
Date: Mon, 20 Dec 2004 09:06:15 -0500
From: Jim Muth <jamth@mindspring.com>
Subject: [Fractint] FOTD  20-12-04  (Fractal Flight [5])
To: fractint@mailman.xmission.com
Cc: philofractal@lists.fractalus.com
Message-ID: <1.5.4.16.20041220090808.29d757b6@pop.mindspring.com>
Content-Type: text/plain; charset="us-ascii"
FOTD -- December 20, 2004 (Rating 5)
Fractal visionaries and enthusiasts:
For today's fractal we break out the MandelbrotBC2 formula, 
which takes advantage of the multi-valued nature of the complex 
'log' function, and gets an infinity of fractals from formulas 
that would seem limited to only one.
The additional fractals are especially interesting when the 
exponent of Z is set to a value between 1 and 2.  Today's image 
uses a value of 1.1 -- a value in the lower part of that range, 
where the images explode in size as we travel up the logarithmic 
spiral and the changes are the greatest.
The parent fractal is an oversized thing resembling a dead bird 
lying on its back, with its pointed bill facing upward.  Today's 
scene is located in the valley that forms the lower edge of the 
bird's bill.  Not wanting to make allusions to a dead bird in 
the name of the image, I decided to name it "Fractal Flight".
The question of whether fractals can fly is moot.  Fractals are 
abstractions, and abstractions can do anything we wish them to,
though usually they do nothing.
In today's image I saw a flight of fractal somethings taking off 
into a blue sky and vanishing beyond the upper left corner of 
the frame.  Perhaps they have been frightened by approaching 
danger.  (It is hard to imagine how a fractal could come to harm 
however.)
The 'objects' (if that's what they are) share a curious similar-
ity.  In some ways they are alike; in other ways, each has a 
character of its own.  Even the larger groups of objects share 
this partial similarity.  The image is a true fractal.  In it, 
the same pattern is repeated again and again at the deeper 
levels.  Of course, the deeper we explore, the slower the calcu-
lation becomes.
With nothing really exceptional to raise its rating, the scene 
could be rated no higher than an average 5.  Its render time of 
almost 23 minutes gives it an overall worth of only 22.  It is 
still an interesting image to see however, and well worth the 
small effort of downloading it from the FOTD web site at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
Heavy clouds, a chilly temperature of 36F 2C, and a cold rain 
kept the duo indoors for the entire day on Sunday.  Their moods 
were surprisingly good considering their confinement.  As night 
fell, the rain changed to snow, which soon froze solid, making 
for tricky walking and worse driving.  When the duo saw the bad 
conditions, they actually seemed glad to be indoors, where a 
generous serving of tuna was available to assure their content-
ment.  This morning is starting sunny, but with a temperature of 
only +7F -14C and a wind of 20mph 30kph, I doubt that the duo 
will want to go outside.
The work is still heavy in my department, but I hope to squeeze 
in a fractal or two before the day ends.  The best of what I 
find will appear as tomorrow's FOTD.  Until then, take care, and 
keep your cool when the snow falls.
Jim Muth
jamth@mindspring.com
jimmuth@aol.com
START PARAMETER FILE=======================================
Fractal_Flight     { ; time=0:22:55.83--SF5 on a P200
 reset=2004 type=formula formulafile=allinone.frm
 formulaname=MandelbrotBC2 passes=1
 center-mag=+0.77134655541610010/+0.189518755374709\
 60/3732.587/1/-12.5/-1.07880579469643578e-011
 params=1.1/0/23.8/0 float=y maxiter=3000
 inside=255 logmap=304 periodicity=10
 colors=000HHUJIULJTNKSPLRSMRVOQXPPZQO`RNbSNdTMfULh\
 VKjWKlXJoYIrZHs_Fr_Hp_Jn_Kl_Mi_Og_Pd_Rb_SZ_UX_WV_X\
 T_ZQ_`O_aM_cK_dL`eL`eM`eM`fN`fN`fN`gOagOagPahPahPa\
 hQahQaiRaiRbiRbjSbjSbjTbkTbkUbkUblUclVclVclWcmWcmW\
 cmXcnXcnYdnYdoYdoZdoZdp_dp_dp_dp_dp`ep`fp`gq`gqahq\
 aiqajrajrakrblrbmsbmsbnsboscpscptcqtcrtdstdsudtudu\
 udvuevvewvexveyveyvfurfqofmmfmmgmmgmmgmmgmmhmmhmmh\
 mmhmmhmmgmmfmmfmmemmemmdmmdmmcmmbmmbmmammamm`mm`mm\
 _mmZmmZmmYmmYmmXmmXomWqmWrmXqmYqmZqmZqm_qm`pm`pmap\
 mbpmbpmcomdomeomeomfomgnmgnmhnminminmjmmkmmlmmlmmm\
 mmnlmnlmolmplmplmokmnkmnkmmkmmkmlkmlkmkkmkkojkpikq\
 ikrhkshktgjugjvfjzfjxejydjzdjzcjzckzblzbmzanzaoz`p\
 z`qz_rzZszZtzNuzNuzNuzOuzOuzOuzOuzPuzPuzPuzQuzQuzQ\
 uzRuzRuzRuzSwzRvzRuzRtzRszRszQrzQqzQpzQpzQozPnzPmz\
 PmzPmzPmzOmzOmzQmzOmzLmzJmzHmzFmzDmzAmz8mz6mz4mz2m\
 z0mz3mz5mz7mz9mzBmzDmzFmz }
frm:MandelbrotBC2   { ; by several Fractint users
 e=p1, a=imag(p2)+100
 p=real(p2)+PI
 q=2*PI*floor(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|<a }
END PARAMETER FILE=========================================
------------------------------
Message: 3
Date: Tue, 21 Dec 2004 12:34:25 -0500
From: Jim Muth <jamth@mindspring.com>
Subject: [Fractint] FOTD  21-12-04  (Otherworld Fractal [6])
To: fractint@mailman.xmission.com
Cc: philofractal@lists.fractalus.com
Message-ID: <1.5.4.16.20041221123618.29bff2e6@pop.mindspring.com>
Content-Type: text/plain; charset="us-ascii"
FOTD -- December 21, 2004 (Rating 6)
Fractal visionaries and enthusiasts:
WARNING -- I went beyond the topic in today's discussion, as I 
occasionally do.  The discussion is rambling and rather philo-
sophical.  Those who have a 'knee-jerk' reaction to philosophy 
or mysticism should move on directly to the image and spare 
their knees.
Depending on where the observer is located, today is either the 
shortest or longest day of the year.  For those living on the 
equator however, where all days are 12 hours long, it is just 
another 12-hour day, though it is still one of the two days of 
the year with the lowest maximum sun angle.
On a special astronomical day such as today, fractals are just 
as real or unreal as on any other day.  The position of the sun 
has no connection to the world of fractals.  This much everyone 
can agree on.  But do other universes exist where such a 
connection might be possible?  After all, the name of today's 
image is "Otherworld Fractal", and I gave it this name because 
it is unlike anything that might be seen in our familiar version 
of the 'real' world.
In the naive days of my youth, I was certain that there is only 
one real world and that world was the one I had learned to con-
struct from the images I observed through my senses.  Those who 
thought otherwise were confused and superstitious.  True, I 
realized that my senses could detect only a tiny part of that 
real world, but there was still only one real outer world, and 
that world was the ultimate reality, which was out there whether 
anyone was around to observe it or not.
That was when I was young and naive.
I am no longer young, though I am still rather naive, (aren't we 
all), but I am not so naive as to believe that anything such as 
an ultimate reality can exist unless one is referring to the 
idea known as God.  When one truly knows God, all questions 
about creation and existence become non-questions.  When one 
asks why God created the universe, or where God came from, or 
even what happens to people after they die, then that person 
does not truly know the nature of reality.
When one asks, or even wonders about such things, that person is 
displaying his ignorance about both himself and the world he 
assumes he exists in.  When one flees from such questions into 
the comfortable and easy-to-comprehend world of Atheism, that 
person is merely showing the arrogance that conceals his fear of 
the unknown.  I know this because I was once there.  When one 
realizes that God is an idea, yet uses this fact as evidence 
that there is no God, that person is closer to the truth.  When 
one realizes that the physical universe is also an idea, that 
person is closer still. . . .
. . . to be continued . . . perhaps . . .
Just imagine it -- all this off-topic stuff came about because I 
had the thought that today's image is a scene that could never 
be observed anywhere in the universe as we know it.  But it very 
easily could exist in the world of fractals, especially the 
world created by the formula Z^(1.1)+C.
The rating of a 6 is about what the image is worth.  Its overall 
value could be anything, but calculates at a 90.  The most 
convenient way to see the otherworldly image is to download it 
from the FOTD web site at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
With a temperature of only 19F -7C, Monday was far too cold here 
at Fractal Central for the dynamic duo to go outside.  But they 
spent several hours on their shelf by the window, watching the 
chilled starlings huddle around openings of the neighborhood 
chimneys to keep warm.  A surprisingly small serving of tuna was 
needed in the evening to make the duo happy.  This morning is 
starting less cold, but still far from warm.  We'll see how the 
duo adjusts.
For me it looks like another in the nearly endless string of 
similar days of work before fractals.  The next FOTD will appear 
right here in 24 hours.  Until then, take care, and be of good 
cheer at this time of year.  Save the mysteries for next year.
Jim Muth
jamth@mindspring.com
jimmuth@aol.com
START PARAMETER FILE=======================================
Otherworld_Fractal { ; time=0:06:40.57--SF6 on a P200
 reset=2004 type=formula formulafile=allinone.frm
 formulaname=MandelbrotBC2 passes=1
 center-mag=-2.14292936172586400/+0.027868278465541\
 99/374.3557/1/7.5/5.92893789619353129e-012
 params=1.1/0/-28.3/0 float=y maxiter=500
 inside=255 logmap=77 periodicity=10
 colors=000K3HL4IM4JN5KO5LP6MQ6NR7OS4PT7QU9RVCSWETX\
 GUYJVZLW_OU`QTaSTbVTcXSd_SeaSfcRgfPhhOikNjmMkoKnrJ\
 qtIvyIswHqvHntGlsGirFgpFfoEdnEclDakD`jCZhCYgAXfFVd\
 KUcPSbURaZP`cO_cNZcLZcKZcIZcHZcFZcEZcBZcCZcDZcEZcF\
 ZcFZcGZcHZcIZdIZeJZfKZgLZhLZiMZjNZkOZlPZmPZnQZoRZp\
 SZqSZrTZsUZtVZuVZvWZzXZxYZyZZzZZz_Zz`ZzaZzaZzbZzcZ\
 zd_zd_ze_zf_zg_zh_zi_zh_zg_zg_zf_ze_zd_zd_zc_zb_za\
 _za_z`_z__zZ_zZ_zY_zX_zX_zW_zV_zU_zU_zT_zS_zR_zR`z\
 Q_zP`zO`zO`zN`zM`zL`zL`zK`zJ`zJ_zI_zH_zG_zG_zF_zE_\
 zD_zD_zC_zB_zA_zA_z9_z8_z7_z7_z6_z5_z3Zz4_z5_z5_z6\
 _z7`z7`z8`z8`z9azAazAazBazBbzCbzDbzDbzEczEczFczGcz\
 GdzHdzIdzIdzJezJezKezLezLfzMfzMfzNfzOgzOgzPgzPgzQh\
 zRhzRhzShzShzShzShzShzShzShzShzShzShzShzShzShzShzS\
 hzShzShzShzShzShzShzShzShzShzShzShzShzThzShzShzShz\
 ShzShzRhzRhzRhzRhzRhzQhzQhzQhzQhzQhzPhzPhzPhzPhzPh\
 zOhzOhzOhzOhzOhzPhzPhzPhz }
frm:MandelbrotBC2   { ; by several Fractint users
 e=p1, a=imag(p2)+100
 p=real(p2)+PI
 q=2*PI*floor(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|<a }
END PARAMETER FILE=========================================
------------------------------
Message: 4
Date: Wed, 22 Dec 2004 11:59:23 -0500
From: Jim Muth <jamth@mindspring.com>
Subject: [Fractint] FOTD  22-12-04  (Super Something [7])
To: fractint@mailman.xmission.com
Cc: philofractal@lists.fractalus.com
Message-ID: <1.5.4.16.20041222120118.0d57799c@pop.mindspring.com>
Content-Type: text/plain; charset="us-ascii"
FOTD -- December 22, 2004 (Rating 7)
Fractal visionaries and enthusiasts:
In today's fractal we take a trip to the Z^(2.02)+C fractal.  We 
check it 20 levels up the logarithmic hyper-spiral.  (Actually 
the scene lies 16.858... levels up the spiral.  The level 
3.14159... or 'pi' is better considered ground level.)  The 
formula is very close to that of the Mandelbrot set, and the 
fractal it produces is very similar.  But there are significant 
differences.  To start, the entire set appears rotated 30 
degrees.  The greatest change however has taken place at the 
north branch of Seahorse Valley, which has broadened into a 
plateau with a spire at its inner edge.  Today's scene lies on 
the main-bay side of this spire.
The midget I found there rates a lofty 7.  I have never before 
seen a midget with such intricate decoration surrounding it 
unless it was produced by one of the fancy features of the 
program, which I feel are somewhat artificial.  By contrast, 
today's scene, which was rendered with the outside set to the 
standard 'iter', shows what is 'actually there'.  I named the 
image "Super Something", leaving it to the viewer to decide what 
that 'something' is.
Since the exponent of Z is fractional, discontinuities must 
exist in the image, and indeed they are there.  But with an 
exponent so close to integer value, the breaks are minor, and 
at first glance may go un-noticed.
The rating of a 7 leaps to an overall worth of a rather 
disappointing 47 when the render time of almost 15 minutes is 
figured in.  But the rendering may be eliminated entirely by 
downloading the finished image from:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
With a peak temperature of 39F 3C, Tuesday was hardly balmy here 
at Fractal Central.  But the dynamic cats, who had been confined 
indoors for almost two days, were willing to ignore the minor 
chill to enjoy an outing in the great outdoors of the holly 
thicket, where they passed the afternoon pretending they were 
stalking birds.  Only a minor treat of tuna was needed to end 
their day on an up note.  This morning is starting sunny and 
warmer, but rain is scheduled to move in before nightfall.  
I see a hint of trouble for the fractal duo.
For me, the pile of real work waiting to be done is minor.  This 
should assure another fine fractal in 24 hours, and maybe 
another outburst of philosophy.  Until then, take care, and 
remember that, regardless of how much we learn, we will never 
know more than an infinitesimal part of all there is to know.
Jim Muth
jamth@mindspring.com
jimmuth@aol.com
START PARAMETER FILE=======================================
Super_Something    { ; time=0:14:48.75--SF5 on a P200
 reset=2004 type=formula formulafile=allinone.frm
 formulaname=MandelbrotBC2 passes=1 periodicity=10
 center-mag=-0.61120335469249380/+0.436965672671546\
 70/6345769/1/-92.5/1.01919733624944e-008 logmap=215
 params=2.02/0/20/0 float=y maxiter=4200 inside=0
 colors=000W2RUE_SQhQaqPiyOhwNguMfsLeqKdoJcmIbkHaiG\
 `gF_eEZcDYaCX_BWYAVW9UU8TS7SQ6RO5QM4PK3OI2NG1ME0LC\
 0KA0J80I60H40G25F0AE5EDAFCFGBKHAPI9UJ8WK7XgV9eUBcU\
 CaUE`UFZUGXUIWUJUUKSUMRUNPUPNUQMURKUTIUUHUVHQRIMNI\
 JKIFGIBCI78I45L58N6AP6DR7FT8HV8KX9MZAP`ARbBTdCWfCY\
 hD`jEblEdnFgpGirGksLgsQcsV_s_WsdStiOtnKtsGtxCtz9sz\
 8sy8sw8su8ss8sr8sp8sm8sk8si8sg8se8sc8sa8sZ8sX8sV8s\
 U8tQDtNHtKLuHQuEUuBYLoUNmVPkWRiXSgXUeYWcZXaZZ__`Y`\
 aW`cUaeSbfRb_XdTaeMffFkg8ph2ui8vgEveKwdQwbWx`ax_gy\
 YmyWryVsvTstStqQtoPumOujMvhLveJwcIwaHsUJpMKmELj7Mf\
 6Oc6P`6RY6SV5US5VP5XM5YJ5_G4`D4bA4c74e44f88eBBdEEc\
 IHbLKbONaSQ`VU_YXZa_ZdbYgeXkhWnkVqcVic_bccWchPclIc\
 qBcuCctDctEctFctGctHctIctIctJctKctLctMctNctOctOctP\
 ctQctRctSctTctUctUctZcnbcifcckcZocTscOccYbcWbcVacU\
 acT`cS`cR`cQjcDlcGmcIncLocNpcQqcSrcQrcOrcNrcLrcJgc\
 CfcEdcGccHbcJ`cL_cMYcOXcQ }
frm:MandelbrotBC2   { ; by several Fractint users
 e=p1, a=imag(p2)+100
 p=real(p2)+PI
 q=2*PI*floor(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|<a }
END PARAMETER FILE=========================================
------------------------------
Message: 5
Date: Thu, 23 Dec 2004 11:52:10 -0500
From: Jim Muth <jamth@mindspring.com>
Subject: [Fractint] FOTD  23-12-04  (Comb Filter [7])
To: fractint@mailman.xmission.com
Cc: philofractal@lists.fractalus.com
Message-ID: <1.5.4.16.20041223115405.29d75974@pop.mindspring.com>
Content-Type: text/plain; charset="us-ascii"
FOTD -- December 23, 2004 (Rating 7)
Fractal visionaries and enthusiasts:
It's that time of year again, and I find myself with so much 
work and so many things to do that I will have no spare time for 
the FOTD for the next 3 or 4 days.  The bad news is that there 
will be no FOTD until December 27th or 28th.  The good news is 
that the FOTD will return at that time in its full glory, for 
another year, or twenty-five years, of stunning fractal images 
from nowhere.
With today's image, I stayed with the Z^(2.02)+C fractal, but 
examined it 154 turns up the hyper-spiral, where the figure is 
rotated 180 degrees, so that East Valley now lies on the nega-
tive X-axis, where the most interesting discontinuities are 
located.
The inner details of this area are like nothing in the classic 
M-set.  They vaguely resemble the elephant-like shapes that 
might be expected there, but are far more broken and chaotic.  
The midget in today's image is a typical example of the dis-
order that exists in this part of the infinite-dimensional 
land of fractals.
I have named the image "Comb Filter" because some of the ele-
ments resemble coarse-toothed combs.  (I am in no way an elec-
tronics technician.)  The rating of a 7 seems fair, considering 
the unusual nature of the image, which needed no program trick-
ery.  The render time of just under 5 minutes raises the overall 
worth to a rather impressive 143.
The most convenient way to see the image is to download it from 
the FOTD web site at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
An absolutely gorgeous day on Wednesday here at Fractal Central 
resulted in angelic cats.  The warm sun, light breezes, and 
temperature of 61F 16F were just what the duo needed to ease 
their disappointment over the recent cold spell.  No tuna was 
necessary to make them happy in the evening.  Today is starting 
mild but rainy.  I hope the duo doesn't have too big a let-down.
For me, it's finish the work then get ready for the holiday 
craziness.  As I said earlier, the next FOTD will appear in 5 
days on December 28, (maybe the 27th if things go well).  Until 
then, take care, and may Santa leave a real fractal, not just a 
picture of one, in your stocking.
Jim Muth
jamth@mindspring.com
jimmuth@aol.com
START PARAMETER FILE=======================================
Comb_Filter        { ; time=0:04:53.58--SF5 on a P200
 reset=2004 type=formula formulafile=allinone.frm
 formulaname=MandelbrotBC2 passes=1 periodicity=10
 center-mag=-0.26350487612601/+0.02105654396608012/\
 1347270/1/-57.5/-2.69338237129934654e-009 logmap=79
 params=2.02/0/154/0 float=y maxiter=1200 inside=0
 colors=000H0RI0SI0UI0VK0WK0YL0_L0`M0cM0dM0eP0hP0jS\
 0kS0nW0oU0qS0rR0sP0uO0rM0oK0nI0kH0hF0gE0dC0a90L70K\
 60L40K21L11L01M04P06S07V0AY0C_0Ea0Fd0Ig0Kj0Lk0On0P\
 q0Rs0Su0Vs4Wr9YqF_oKanOclSdkYejagjejhkkgokeskdxlcz\
 nazn`zh_ze_zcYz_YyWYy_WxWWxUWwRWwMVuIVsEVn9Um4Ui0U\
 n0Un0Wo0Yt0`w1ax1dw2ev4gt6js7kq7no9onAqkCsjEuhExeF\
 ydHzcIz`Kz_KzYLzVMzUOzSOzUPzVRzVRzWSzWSzYUzYUz_Vz_\
 Vz`Wz`WzaYzc_zc_zd`zd`zeazeazgczgczhdzhdzjezjezedz\
 cdz_dsWdlUdePc`McUKcMFcFCc76`09c1Cd2Fe2Ig4Kj6Mk6Pl\
 7Sn9Uq9WrA_sAauCdwEeyEhzFkzHnzHozIrzKuzKxzLzzHyzLs\
 zOnzShzVcz_YzaSzeMzhHzlAzo4zs0zz0zw0zr0wn0rj0ne0ja\
 1eY1aU1YP2UL2PH2LE7OFCSIHVKLYMPaOUdPYgSakUenWjqYnu\
 `rxauzcqy`nxYjwVguUcsR`rOWqMUqKPrHMuFIxCFz9Az77z42\
 z10z04z27z6Az9EzCHzFKzHMzKPzMUzPWzS_zUazWdz_gzajzd\
 lzeSz0Uz0Uz0hz4hzzgzzezzezzUzzIzz6zy0zw`zazzIzzgIz\
 IEzFAzC7z94z61z20z00z00z0 }
frm:MandelbrotBC2   { ; by several Fractint users
 e=p1, a=imag(p2)+100
 p=real(p2)+PI
 q=2*PI*floor(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|<a }
END PARAMETER FILE=========================================
------------------------------
_______________________________________________
Fractint mailing list
Fractint@mailman.xmission.com
http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint
End of Fractint Digest, Vol 22, Issue 10
****************************************

david lowenstein

tags

participants (1)