FOTD -- December 14, 2012 (No Rating)
Fractal visionaries and enthusiasts:
Today there are only seven short days before the end of time,
and we all know how quickly a day can go by. But even when we
are all gone, fractals will continue forever, so who am I to
give up on fractals when they will never give up on me.
Today's image is a view of the mysterious Z^(2.003) rectangle as
it appears when rotated 4 degrees from the Julia direction
toward the oblate direction. At this angle the original
rectangle appears more like a fan partly filled with debris, but
in this debris a new shorter and wider rectangle has appeared.
The features surrounding the rectangle have been altered to the
point of unrecognizability, though a few patches of the pure
Julia features still remain. And even though today's change is
great, you ain't seen nothing yet!
The name "Seven to Doomsday" simply tells the time remaining for
each of us to exist. The calculation time of 2-1/2 minutes cuts
into this brief time, but let's eat, drink and be merry today,
for in seven days we . . .?
Time is growing short. Before the final end arrives, check the
finished image on the FOTD web site at:
<http://www.crosscanpuzzles.com/Archives.html>
And enjoy the variations in high definition at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images are available at:
<http://www.Nahee.com/FOTD/>
Lots of sun and a temperature of 46F +8C made today quite
pleasant here at Fractal Central. While the cats watched the
world go by, the humans kept busy preparing for the upcoming
holidays, which will be in the past in 19 days -- that is unless
the day of doom arrives in only seven days, in which case the
holidays will never end.
The next FOTD is due to be posted in 24 hours, so check for it
then. Until next time, take care, and there has been another
mass shooting. Ho hum! Such mass shootings are becoming all
the rage among the trendy set. It looks like everyone wants a
slice of the action!
But murder is wrong! Something must be done! So why don't we
ban all private possession of firearms? Then when a lunatic
shoots up a school and kills some kids, we'll be able to charge
him with possession of an illegal and probably stolen firearm.
With such a serious charge hanging over his head and possible
imprisonment facing him, even the most determined lunatic would
think twice before killing innocent people.
My opinion -- to ban all firearms would be futile.
My solution -- to change the materialistic, technologically
advanced but spiritually bankrupt world view of our modern
culture, which makes our existence appear meaningless and
totally hopeless. (And I don't mean we should go out and try to
persuade people to believe in any particular religion.)
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Seven_to_Doomsady { ; time=0:02:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot4 passes=1 float=y
center-mag=+0.004422/0/118/0.6326/0/14.19452852516
params=86/86/90/86/-1.7435/0/0.000175/0.073883/2.0\
03/0 maxiter=2750 inside=0 logmap=58 periodicity=6
colors=0009RA8PA7NA6M95L84K73K5BK4KU3Vd2eo1mwCitBe\
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zzfzzezzdzzbzzazz`zzZzzYzzXzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
frm:SliceJulibrot4 {; draws all slices of Julibrot
pix=pixel, u=real(pix), v=imag(pix),
a=pi*real(p1*0.0055555555555556),
b=pi*imag(p1*0.0055555555555556),
g=pi*real(p2*0.0055555555555556),
d=pi*imag(p2*0.0055555555555556),
ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
sg=sin(g), cd=cos(d), sd=sin(d),
p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9
c=p+flip(q)+p3, z=r+flip(s)+p4:
z=z^(real(p5))+c
|z|< esc }
END PARAMETER FILE=========================================
While Albrecht Niekamp is on vacation and away
from a computer, he has asked me to put some
of his images onto my server.
Due to sub-standard book-keeping here, it may happen
that a post of one of Albrecht's fractals might be
duplicated. Please try to find it in your heart to
forgive me if this happens.
Here is a link to Albrecht's fractal "The Miracle"
created using his multifractal_10 formula:
http://www.emarketingiseasy.com/Albrecht/1536141.GIF
Click the image in your browser for its full size,
1600 x 1200 pixels, and to prevent its being
resampled by your browser.
Albrecht's fractal, "The Miracle" has a comment in
its parameter file: "There's life inside." I'm afraid
that what I see is 'afterlife.'
Inside the confetti-like chaos in the top half of his
fractal, I see a blue 'heaven' -- and the lower half
of the fractal seems to be an appropriately-colored
burning Hades.
There's a tense standoff in the black field between
the two choices of afterlife -- between a pair of
scrolls above and a triangular devil's head below.
The maw to the fiery furnace awaits below. Good luck!
The color map in Albrecht's fractal is here:
http://www.emarketingiseasy.com/Albrecht/1536141_map.jpg
-- and is a map used by Albrecht in several of his
fractals.
The Fractint parameter set is below.
The ready-to-run full parameter file for the fractal,
including the multifractal_10 formula, is here:
http://www.emarketingiseasy.com/Albrecht/1536141.par
- Hal Lane
########################
# hallane(a)earthlink.net
########################
===== Start of par file ==============================
1536141 { ; The_Miracle
; Theres life inside
; Time 0.29.05 Dos Shell 1600/1200
; Fractint Version 2004 Patchlevel 11
reset=2004 type=formula formulafile=mfr_10.frm
formulaname=multifractal_10
function=sin/exp/exp/sin passes=t
center-mag=0.0206766/-0.0053525/6.831816/1/-90/3.8\
8578058618804789e-016
params=-0.05825983458967864/0.3785210730307932/213\
64.64595712822/14235.4911030602/152048.0404808048/\
384.1604894048/384.00482000595/256.1007683001/512.\
1007683001/768.1007683001 float=y maxiter=3071
inside=maxiter outside=tdis periodicity=0
rseed=-2436
colors=000000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>L\
Q8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>\
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SFlWAi_5fc0ce7_jFRoNIzb0zj0
}
==== End of par file ================================
FOTD -- December 11. 2012 (No Rating)
Fractal visionaries and enthusiasts:
Today's image is named "Ten to Doomsday". As everyone who
watches TV knows, the world will end on December 21, 2001, ten
days from today, on Friday of next week at 23:60:00 hours GMT,
the single moment when the day of doom will prevail over the
entire earth! In recognition of the coming end, I am beginning
the countdown to destruction today and presenting ten doomsday
fractals, the first of which appears as today's FOTD.
I gave the image no rating. After all, what is the use of
rating an image that will be swallowed up and forgotten in the
mists of history in just ten days. For those who still care,
the image is a scene in the area of the period-5 bud on the
southwest shore line of the main bay of the Mandelbrot set. It
looks nothing at all like a Mandelbrot bud because it is sliced
at an unimaginable angle in four-dimensional space. To see the
Mandelbrot bud in its true form, simply change the p1 and p2
parameters to 0,0 and recalculate the scene.
The prominent vertical pillars are what I call bridges. They
appear only in the odd planes of the Julibrot, and indicate that
no matter where the points begin their wanderings, they will
eventually settle into the same orbits.
The calculation time of 1-1/4 minutes is mercifully brief. With
so little time remaining to enjoy life, we would not want to
waste a single precious minute.
The mercy can be increased by viewing the finished image at:
<http://www.crosscanpuzzles.com/Archives.html>
And by checking the hi-def variations at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images are available at:
<http://www.Nahee.com/FOTD/>
Yesterday's rain ended early this morning after dropping about
1/2 inch or 1-1/2cm of rain. A mix of left-over clouds and sun
with a temperature of 45F +7C made today feel like a typical mid-
December day here at Fractal Central. The humans and cats had a
typical day also.
The next FOTD will be posted in the proper time, whenever that
is. Until the next FOTD appears, take care, and don't be fooled
into believing that those so-called 'reality' shows flooding the
TV channels are actually real.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Ten_to_Doomsday { ; time=0:01:15.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot4 passes=t float=y
center-mag=0.263913/-0.578499/9.105478 params=75/\
90/0/80/-0.75/0/0/0/2/0 maxiter=5200
inside=0 logmap=5 periodicity=6
colors=000JF1MJ6PNBSQGVULYXP``UbcZegchjgknlnqqquvs\
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DpWFpUGpTHpSJqQKqPMqNNqMOqLQqJRqITqGUqFXtBVqEToGRm\
JPkLOhNMfQKdSIbUG`XFYZDW` }
frm:SliceJulibrot4 {; draws all slices of Julibrot
pix=pixel, u=real(pix), v=imag(pix),
a=pi*real(p1*0.0055555555555556),
b=pi*imag(p1*0.0055555555555556),
g=pi*real(p2*0.0055555555555556),
d=pi*imag(p2*0.0055555555555556),
ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
sg=sin(g), cd=cos(d), sd=sin(d),
p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9
c=p+flip(q)+p3, z=r+flip(s)+p4:
z=z^(real(p5))+c
|z|< esc }
END PARAMETER FILE=========================================
FOTD -- December 13, 2012 (No Rating)
Fractal visionaries and enthusiasts:
Today's pre-doomsday fractal is a close-up of the edge of the
curious rectangle that appeared in yesterday's image. The slow
top part of the scene is the inside of the rectangle, the much
faster bottom part consists of outside stuff.
To me, the image appears as little more than a vast wasteland,
perhaps the way our earth will appear the day after doom.
The calculation starts out slow, but as the scan moves down the
screen, the calculation speeds up condiderably. The total time
of 3-3/4 minutes is slower than I would prefer, but still fast
enough to allow time to prepare for the end. The name "Eight to
Doomsday" indicates that the remaining days are dwindling fast.
The finished image may be viewed at:
<http://www.crosscanpuzzles.com/Archives.html>
with the hi-def variations at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images are posted at:
<http://www.Nahee.com/FOTD/>
Total sun and a temperature of 43F +6C made today near ideal for
the middle of December here at Fractal Central. The cats and
humans had an uneventful day of preparing for the holiday
season. The next FOTD will be posted in 24 hours, but beware,
the day of doom is steadily approaching. Until then, take care,
and where will you be when time runs out? Or perhaps a better
question is where will I be.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Eight_to_Doomsday { ; time=0:03:45.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot4 passes=1
center-mag=-0.001145394/-0.003838487/2218/1/7.5/0
params=90/90/90/90/-1.74358/7.09952e-005/0.00011/\
0.07389/2.003/0 float=y maxiter=3600
inside=0 logmap=50 periodicity=6
colors=000BRQBRPAQOAQN9PM9PL9OK8OJ8NI7NH7MG7MF6LE6\
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BJzqnzqnzpmzpmzpmzpmzpmzpmzolzolzolzolzolzolznkznk\
znkznkznkznkznkzVazCSz0Gz }
frm:SliceJulibrot4 {; draws all slices of Julibrot
pix=pixel, u=real(pix), v=imag(pix),
a=pi*real(p1*0.0055555555555556),
b=pi*imag(p1*0.0055555555555556),
g=pi*real(p2*0.0055555555555556),
d=pi*imag(p2*0.0055555555555556),
ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
sg=sin(g), cd=cos(d), sd=sin(d),
p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9
c=p+flip(q)+p3, z=r+flip(s)+p4:
z=z^(real(p5))+c
|z|< esc }
END PARAMETER FILE=========================================
FOTD -- December 12, 2012 (No Rating)
Fractal visionaries and enthusiasts:
Today's image shows the mysterious rectangle in the Julia sets
corresponding to the fractured Seahorse Valley of the
Z^(2.003)+C Mandelbrot set. To add excitement to the scene, I
have offset the slice ever so slightly in the imag(c) direction.
This slight aberration fills the rectangle with debris, breaks
up the surrounding features and also rotates the rectangle a few
degrees.
Since no one will be around to check ratings after the world
ends next Friday, I gave the image no rating. The name "Nine to
Doomsday" needs no explanation. The big day is but nine days
off. The image calculation time of 1-2/3 minutes is blessedly
fast. After all, with the remaining time so limited, we don't
want to waste a single second.
So hurry! Before the end arrives, check the finished image on
the official FOTD web site at:
<http://www.crosscanpuzzles.com/Archives.html>
And don't forget the hi-def variations at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images are posted online at:
<http://www.Nahee.com/FOTD/>
Lots of sun and a temperature of 41F +5C made today a typical
average December day here at Fractal Central. Both the cats and
humans did average things, mostly preparing for the holidays.
We all want to be ready if doomsday fails to arrive as foretold.
If the end does not arrive early, the next FOTD will be posted
in a reasonable amount of time. Until then, take care, and no
one will be more surprised than me if the world really does end
in nine days.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Nine_to_Doomsday { ; time=0:01:40.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot4 passes=1
center-mag=-0.00016692749087116/-0.000445372303409\
87/110.94 params=90/90/90/90/-1.74358/7.09952e-005\
/0.00011/0.07389/2.003/0 float=y maxiter=3600
inside=0 logmap=50 periodicity=6
colors=000BDQBDPACOACN9BM9BL9AK8AJ89I79H78G78F67E6\
7D56D56C45B45A449348337236225224113112001000MozJlz\
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FiZFgXEeWDcUDaTC_RBZQBXOAVNATM9zK8zJ8zH7zG6zE6zD5z\
B5zq`zq`zp_zp_zp_zp_zp_zp_zoZzoZzoZzoZzoZzoZznYznY\
znYznYznYznYznYzVOzCEz02z }
frm:SliceJulibrot4 {; draws all slices of Julibrot
pix=pixel, u=real(pix), v=imag(pix),
a=pi*real(p1*0.0055555555555556),
b=pi*imag(p1*0.0055555555555556),
g=pi*real(p2*0.0055555555555556),
d=pi*imag(p2*0.0055555555555556),
ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
sg=sin(g), cd=cos(d), sd=sin(d),
p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9
c=p+flip(q)+p3, z=r+flip(s)+p4:
z=z^(real(p5))+c
|z|< esc }
END PARAMETER FILE=========================================
While Albrecht Niekamp is on vacation and away
from a computer, he has asked me to put some
of his images onto my server.
Here is a link to Albrecht's "The World inside Inside"
fractal created using his multifractal_10 formula:
http://www.emarketingiseasy.com/Albrecht/1536143A.GIF
Click the image in your browser for its full size,
1600 x 1200 pixels, and to prevent its being
resampled by your browser.
Albrecht's fractal, "The World inside Inside" is the
fractal that was zoomed into to create yesterday's
image.
In the fractal, there's a small version of yesterday's
image, and other, somewhat similar, image elements.
A new feature is the attractive silver lacework
at the bottom center of the image.
However, a very different new feature seems to be
crawling down from the top of the image -- a kind of
"creeping confetti rot" is starting to eat away at
the main fractal.
The fractal is created by running the iterated
values through *all* of the following formulas:
Mandelbrot, secant, bees, phoenix and Julia
A few experiments, sequentially altering the input
parameters slightly might show the source of the
creeping rot...
The color map in Albrecht's fractal is the same as
yesterday's map:
http://www.emarketingiseasy.com/Albrecht/1536143B_map.jpg
-- which is effectively the same map as used in his
previously-posted: 1536143C "Playground" fractal.
The Fractint parameter set is below.
The ready-to-run full parameter file for the fractal,
including the multifractal_10 formula, is here:
http://www.emarketingiseasy.com/Albrecht/1536143A.par
- Hal Lane
########################
# hallane(a)earthlink.net
########################
===== Start of par file ==============================
1536143a { ; The_World_inside_Inside
; Mand-secant-bees-phoen-jul
; Time 0.23.47 DOS Shell 1600/1200
; Fractint Version 2004 Patchlevel 11
; Fractint Version 2004 Patchlevel 11
reset=2004 type=formula formulafile=mfr_10.frm
formulaname=multifractal_10
function=sin/exp/exp/sin passes=t
center-mag=-0.71172813771936520/-0.078809827898776\
27/266.4266/1/75.00000000000054/-6.484465742140343\
99e-013
params=-0.05825983458967864/0.3785210730307932/213\
64.64595712822/14235.4911030602/152048.0404808048/\
384.1604894048/384.00482000595/256.1007683001/512.\
1007683001/768.1007683001 float=y maxiter=3071
inside=maxiter outside=tdis periodicity=0
rseed=-2436
colors=000000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>L\
Q8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>\
qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI\
6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW\
4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>\
y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAA\
G7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\
3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa\
<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<\
3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJo\
SFlWAi_5fc0ce7_jFRoNIzb0zj0
}
==== End of par file ================================
While Albrecht Niekamp is on vacation and away
from a computer, he has asked me to put some
of his images onto my server.
Here is a link to Albrecht's "Ritual Gear" fractal
created using his multifractal_10 formula:
http://www.emarketingiseasy.com/Albrecht/1536143B.GIF
Click the image in your browser for its full size,
1600 x 1200 pixels, and to prevent its being
resampled by your browser.
Albrecht's fractal, "Ritual Gear", is a zoom into his
fractal: 1536143a.GIF -- which, unfortunately, has not
yet had a link to it posted. Due to a quirk in the
space-time continuum, it's scheduled to arrive tomorrow.
In Albrecht's fractal the two cheerfully-colored arms
coming down from the top right and left seem to be
carrying large blue knife blades studded with colorful
spikes. The spikes are menacing the almost-touching
ritual gears of the center and lower areas of the
fractal. And the ritual gears have only mounted a
defense of a few small blue knife blades -- whose spikes
are pointing the wrong way for defense!
The certain-to-be-doomed ritual gears are giving their
all to protect the flame in their vertically-centered
tall blue cup.
The bright colors in Albrecht's fractal are shown in its
color map:
http://www.emarketingiseasy.com/Albrecht/1536143B_map.jpg
-- which is effectively the same map as used in his
previously-posted: 1536143C "Playground" fractal.
The Fractint parameter set is below.
The ready-to-run full parameter file for the fractal,
including the multifractal_10 formula, is here:
http://www.emarketingiseasy.com/Albrecht/1536143B.par
- Hal Lane
########################
# hallane(a)earthlink.net
########################
===== Start of par file ==============================
1536143b { ; Ritual Gear
; Zoom into 1536143a
; Time 0.22.49 DOS Shell 1600/1200
; mandel-secant-bees-phoenix-julia
; Fractint Version 2004 Patchlevel 11
reset=2004 type=formula formulafile=mfr_10.frm
formulaname=multifractal_10
function=sin/exp/exp/sin passes=t
center-mag=-0.71016733426941010/-0.078514738672469\
15/1091.912/1/74.9999999999988631/8.27331259056762\
747e-013
params=-0.05825983458967864/0.3785210730307932/213\
64.64595712822/14235.4911030602/152048.0404808048/\
384.1604894048/384.00482000595/256.1007683001/512.\
1007683001/768.1007683001 float=y maxiter=3071
inside=maxiter outside=tdis periodicity=0
rseed=-2436
colors=000000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>L\
Q8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>\
qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI\
6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW\
4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>\
y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAA\
G7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\
3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa\
<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<\
3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJo\
SFlWAi_5fc0ce7_jFRoNIzb0zj0
}
==== End of par file ================================
While Albrecht Niekamp is on vacation and away
from a computer, he has asked me to put some
of his images onto my server.
Here is a link to his "Playground" fractal created
using his multifractal_10 formula:
http://www.emarketingiseasy.com/Albrecht/1536143C.GIF
Click the image in your browser for its full size,
1600 x 1200 pixels, and to prevent its being
resampled by your browser.
Of the many colorful shapes in Albrecht's "Playground,"
the one that strikes me the most is the "face" between
the top two largest purple and blue areas. The face
has curly black hair, blue eyes with red eye shadow, a
pointed chin and an open mouth -- giving a permanently
surprised look to the face.
The bright colors in Albrecht's fractal are shown in its
color map:
http://www.emarketingiseasy.com/Albrecht/1536143C_map.jpg
The Fractint parameter set is below.
The full parameter file for the fractal, including
the multifractal_10 formula, is here:
http://www.emarketingiseasy.com/Albrecht/1536143C.par
- Hal Lane
########################
# hallane(a)earthlink.net
########################
===== Start of par file ==============================
1536143c { ; Playground
; Zoom into 1536143b
; Time 0.29.52 DOS Shell 1600/1200
; Fractint Version 2004 Patchlevel 11
reset=2004 type=formula formulafile=mfr_10.frm
formulaname=multifractal_10
function=sin/exp/exp/sin passes=t
center-mag=-0.70943787030482360/-0.078332525529522\
47/253933/1/74.9999999995186215/5.2023735319650654\
7e-010
params=-0.05825983458967864/0.3785210730307932/213\
64.64595712822/14235.4911030602/152048.0404808048/\
384.1604894048/384.00482000595/256.1007683001/512.\
1007683001/768.1007683001 float=y maxiter=3071
inside=maxiter outside=tdis periodicity=0
rseed=-2436
colors=000000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>L\
Q8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>\
qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI\
6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW\
4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>\
y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAA\
G7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\
3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa\
<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<\
3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJo\
SFlWAi_5fc0ce7_jFRoNIzb0zj0
}
==== End of par file ============================
While Albrecht Niekamp is on vacation and away
from a computer, he has asked me to put some
of his images onto my server.
Here is a link to his "Multiple Directions"
fractal created using his multifractal_10 formula:
http://www.emarketingiseasy.com/Albrecht/1536164E.GIF
Click the image in your browser for its full size,
1600 x 1200 pixels, and to prevent its being
resampled by your browser.
Most of the golden spirals in Albrecht's "Multiple
Directions" are spiraling down to "infinity and
beyond" -- although a couple of them on the
vertical centerline are content to form teardrop
shapes, instead of spiraling.
The colors in Albrecht's fractal are shown in the
fractal's color map:
http://www.emarketingiseasy.com/Albrecht/1536164E_map.jpg
The Fractint parameter set is below.
The full parameter file for the fractal, including
the multifractal_10 formula, is here:
http://www.emarketingiseasy.com/Albrecht/1536164E.par
- Hal Lane
########################
# hallane(a)earthlink.net
########################
===== Start of par file ==============================
1536164e { ; Multiple Directions
; jul-sec-bees-phoen-mand
; time 24.52 1600/1200
; Fractint Version 2004 Patchlevel 11
reset=2004 type=formula formulafile=mfr_10.frm
formulaname=multifractal_10
function=sin/exp/exp/sin passes=t
center-mag=+1.33193274819753900/-0.000000000005385\
46/9.345637e+008/1/90/3.88578058618804789e-016
params=-0.05825983458967864/0.3785210730307932/413\
62.64595712822/14235.4911030602/152048.0404808048/\
384.1604894048/384.00482000595/256.1007683001/512.\
1007683001/768.1007683001 float=y maxiter=3071
inside=maxiter outside=tdis periodicity=0
rseed=-2436
colors=000zzizzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I\
88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8\
xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6\
>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P\
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u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3\
>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvl\
qvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI\
<3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW\
`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0c\
e7_jFRoNIzb0zj0000zr0zz1zzCzzT
}
==== End of par file ============================
