FOTD -- September 18, 2014 (Rating A-8,M-6)
Fractal visionaries and enthusiasts:
Rational thinkers know that it is impossible to know the future.
And science tells us that fortune telling is nothing more than
taking the current situation, adding the logical and most likely
future developments and claiming to have supernatural powers.
Undoubtedly, this is how some fortune tellers operate, but how
then can we explain the genuine prophet that appears in today's
image, shining mystical enlightenment from heaven down to those
on earth who are ready to receive it?
I have no answer. All I know is that today's image was created
when I calculated the expression Z^(1.1)+C at a level PI turns
up the hyperladder. The formula that I used, the new
BranchCutGenHJ2, is the same as the previous BranchCutGenHJ
formula but with a few parentheses removed. With the
parentheses gone, the formula draws different and apparently
more accurate branch cut images, all of which have X-axis
symmetry at the PI level regardless of the exponent.
Today's parent fractal vaguely resembles a Mandelbrot set
rotated 180 degrees with a broken 'East Valley' edge on the west
and large period-2 bud on the east. Curiously, no higher order
buds are in the parent fractal. Today's image is located in the
arc of debris on the north side of the parent's main bay.
I named today's image "The Holy Prophet" when I felt the
enlightenment streaming down from above. (Yeah, I know. It's
all supposedly been shown to be brain chemistry.)
The art rates an 8, showing me in the fullest depths of my
'blue' period mood. The math rates only a 6, since we have been
here often enough already.
The image calculates in about 6 minutes, just enough time to
have a mystical revelation. But the revelation may be avoided
and reason preserved by visiting the web sites.
Save time and rationality. Check the finished image at:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
Virtually perfect weather prevailed here at Fractal Central
today, with photoshop blue skies decorated with cottonpuff
clouds, light winds and a high temperature of 72F 22C. The
fractal cats enjoyed the outside conditions from the inside,
wishing they were back at old fractal central, where the old
fractal cats enjoyed the outside from the outside.
The next FOTD will be posted in the proper time. Until
whenever, take care, and we call terrorists cowards, but how
cowardly is it for a person to strap a bomb on himself and blow
himself to pieces for a cause he considers right?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
The_Holy_Prophet { ; time=0:05:50.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=BranchCutGenHJ2 passes=1 periodicity=6
center-mag=+0.067731424695227/+1.052097904716526/\
8.284864e+008/1/142.5/0 params=1.1/0/0/3.141592653\
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lZzm_zm_zmZzlZzkZzkZzjzzz }
frm:BranchCutGenHJ2 { ; Jim Muth, thanks to Hal Lane
Z=C=Pixel:
Z=log(Z),
Z=exp(p1*Z+p2)+C,
|Z|<100 }
END PARAMETER FILE=========================================
FOTD -- September 16, 2014 (Rating A-8,M-6)
Fractal visionaries and enthusiasts:
At first glance it appears that the minibrot at the center of
today's image is quadratic. At second glance however, things
are seen to be not quite as they should be. The count of the
surrounding elements is far from the expected 2,4,8... series,
indicating that the minibrot is not quadratic, but of order 1.75.
The parent fractal is the slice through the hyperspiral at
a level of 3 turns up the ladder. This parent resembles a
squashed bug, with a smaller disconnected bug lying just
northwest of the main body. Today's scene is located in a
valley on the northeast shore line of this smaller bug.
I have named the image "Bogus Minibrot" because the central
midget so closely resembles a quadratic one, yet is actually
created by the expression Z^(1.75)+C.
The are rates an 8. I put about 20 minutes effort into the
coloring. The math rating of a 6 lags behind because we have
been here so often before.
The calculation time of 2-1/2 minutes is fair enough, and the
remaining effort of running the parameter file may be eliminated
by viewing the scene on one of the web sites.
The finished image is available online at:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
Near perfect weather prevailed here at Fractal Central today.
The morning fog cleared off by 9am, leading to a day with tons
of sun, enough clouds to make things interesting, and a
temperature of 68F 20C. The fractal cats busied themselves
watching the pigeons, while the fractal humans watched the work
get done.
The next FOTD will be posted in a day or two or three. Until
whenever this is, take care, and a few hundred years ago we
survived without electricity. Now we would face imminent
extinction if we ever lost the use of our hi-tech gadgets. Is
this to be considered progress, and if it is, what is the goal?
Jim (Technology will save us.) Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Bogus_Minibrot { ; time=0:02:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=BranchCutGenHJ maxiter=3600 inside=0
center-mag=-0.7609519499142745/+0.2555074239934655\
/4.212139e+009/1/165/0 params=1.75/0/0/3 float=y
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zzzzzzzzzzzzzzzzzzzzzzzzz }
frm:BranchCutGenHJ { ; Jim Muth, thanks to Hal Lane
Z=C=Pixel:
Z=log(Z),
Z=exp(p1*(Z+(p2)))+C,
|Z|<100 }
END PARAMETER FILE=========================================
FOTD -- September 14, 2014 (Rating A-8,M-7)
Fractal visionaries and enthusiasts:
Today's image shows some of what happens when the expression
Z^(1.75)+C is iterated in Mandelbrot mode a mere one-half level
up the complex logarithmic hyperspiral. The parent fractal is
little more than a shapeless blob somewhat resembling a squashed
bug. Today's scene is located on a filament extending from the
small period-5 bud on the southest side of the main bay.
The art rates an 8, mostly because of the unusual color scheme,
which came about almost totally by accident. The effect of
small terraces was achieved by rendering the scene with the
outside set to 'tdis'.
The math rates a 7. I rated it because I was rather impressed
with the near perfection of the central minibrot, which is quite
well shaped, especially considering the chaotic shape of the
parent fractal. In fact, the minibrot could almost pass for an
everyday distorted quadratic minibrot.
The surprisingly undistorted shape of this minibrot inspired the
name "Small But Impressive".
The calculation time of 2-1/4 minutes is well within reason, and
the web sites are there to make the task even easier.
So join the trendy set. Check the FOTD web sites at:
<http://www.crosscanpuzzles.com/Archives.html>
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
Today, the second Sunday in September, turned out pleasantly
brisk here at Fractal Central, with a mix of sun and clouds, a
bracing north wind and an afternoon high temperature of 64F 18C.
At least the fractal cats must have thought so, since they
checked the outside conditions from their window shelf almost
constantly. The fractal humans meanwhile checked very little of
anything.
The next FOTD will be posted in a day or two or three. Don't be
surprised if it actually appears in one day. Until whenever,
take care, and I can't wait to not buy the latest electronic
gadget, though one of these days I might actually pick up one of
those throw-away cell phones. As for now, how do I get along
without a cell phone? . . . Actually quite well!
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
SmallButImpressive { ; time=0:02:15.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=BranchCutGenHJ passes=1 periodicity=6
center-mag=+0.619070684629/-0.108169923219/2.7e+10\
/1/117/0 params=1.75/0/0/0.5 float=y maxiter=12000
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JsFGwCDuGEsJErMEpPEoSEmVE }
frm:BranchCutGenHJ { ; Jim Muth, thanks to Hal Lane
Z=C=Pixel:
Z=log(Z),
Z=exp(p1*(Z+(p2)))+C,
|Z|<100 }
END PARAMETER FILE=========================================
Brian,
Those are great details of Jim's FOTD 11-09-14 (Fiery Fingers) --
and very appropriate color maps for those particular images, too.
I especially like your:
http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_89b.png
It has a strong 3D feel to it -- like you're inside a crystal lattice
that's sliced up by some multi-dimensional effect.
Or maybe a bit like what an ant sees when its trapped inside a
pile of sticks from the game "Pick Up Sticks"...
- Hal Lane
########################
# hallane(a)earthlink.net
########################
---- Brian Prentice wrote ----------------------
Author: Brian Prentice
Date: 2014-09-12 10:16 -400
To: Fractint and General Fractals Discussion
Subject: Re: [Fractint] FOTD 11-09-14 (Fiery Fingers [A-8,M-8])
Two details from this fractal:
http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_89a.pnghttp://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_89b.png
Brian Prentice
-------------------------------------------------
---
This email is free from viruses and malware because avast! Antivirus protection is active.
http://www.avast.com
FOTD -- September 11, 2014 (Rating A-8,M-8)
Fractal visionaries and enthusiasts:
Today is the 13th anniversary of the 9-11 attack, so in honor of
the grisly occasion I have found a fiery looking fractal. I
named the image "Fiery Fingers" quite naturally.
The parent fractal is the Z^(1.00625)+C Mandeloid as it appears
only one turn up the complex hyperspiral. This parent resembles
the typical bullet that is so common in fractals in this range
of exponents. In fact, the exponent of Z in today's image,
1.00625, is as close to unity as I have yet come.
In this ultra low range, very little chaos remains, but there is
some, and the next FOTD will show a scene in this unlikely
chaos. Today's scene shows no chaos, but rather a field of
branch-cut discontinuities resembling a large fire.
The fiery effect is totally due to the coloring, which earns the
image an artistic value of an 8. The math also earns an 8, due
to the ridiculously low value of the exponent of Z, which
produces a fractal anyway.
The calculation time is the big loser. The 9-1/3 minutes
required to complete the image is far more than the scene is
worth. But once again, the web sites rush to the rescue.
The official FOTD web site is now up and running. It may be
accessed at:
<http://www.crosscanpuzzles.com/Archives.html>
The other sites are at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
The weather here at Fractal Central today was nondescript. The
day brought some clouds, some sun, a few light sprinkles and a
temperature of 81F 77C. It amounted to a day to soon be
forgotten. The fractal cats forgot the day as soon as it began,
with Lida and Jasmine chasing each other up and down the hallway
most of the morning, while Nicholas watched the silly girls with
curiosity.
The next FOTD, which will be very chaotic, will be posted in a
day or two or three. Until the moment of revelation arrives,
take care, and I want to be a version of me that exists in an
alternate reality where total peace prevails.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Fiery_Fingers { ; time=0:09:20.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=BranchCutGenHJ passes=1 logmap=1382
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frm:BranchCutGenHJ { ; Jim Muth, thanks to Hal Lane
Z=C=Pixel:
Z=log(Z),
Z=exp(p1*(Z+(p2)))+C,
|Z|<100 }
END PARAMETER FILE=========================================
FOTD -- September 08, 2014 (Rating A-7,M-8)
Fractal visionaries and enthusiasts:
Today's scene, which lies just beyond the range of perfect
resolution, is named "Another First". The reason for the name
is that the central minibrot is the first one I have stumbled
upon that is so obviously divided into two separate parts.
The formula that created today's Mandeloid image is Z^(1.09)+C.
I calculated this formula a mere 0.75 levels up the hyperspiral,
which created a parent shaped like a bullet or torpedo diving to
the southeast. This bullet shape is quite common in Mandeloids
with an exponent of Z only a small amount greater than unity.
Today's scene lies in a large field of debris near the northwest
limit of its parent. The image rates a 7 for its artistic value
and an 8 for its math value. The calculation time of over 8
minutes is mercilessly slow, making a visit to the web sites the
better choice.
Unfortunately, the official FOTD web site is temporarily down
for repairs, but the finished image is or soon will be posted to
the following three sites:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
<http://www.Nahee.com/FOTD/>
<http://user.xmission.com/~legalize/fractals/fotd/about.html>
The temperature of 77F 25C here at Fractal Central today was
near perfect, but too many clouds filled the sky to call the day
absolutely perfect. The fractal cats agreed. Eleven-year-old
all-black Nicholas watched curiously as one-year-old Jasmine and
4-month-old Lida chased each other up and down the fractal
hallway until both ran out of steam and collapsed into exhausted
heaps. The fractal humans, who must keep going even when the
steam runs out, had a near normal but busy day.
The next FOTD will be posted whenever it is. (Yes, there will be
more FOTD's. The current slowdown is due to renovations here at
FC.) Until that cosmic moment of renewal arrives, take care,
and keep abreast of the anachronistic FOTD. It's a real blast
from the past!
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Another_First { ; time=0:08:20.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=BranchCutGenHJ passes=1 maxiter=16000
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frm:BranchCutGenHJ { ; Jim Muth, thanks to Hal Lane
Z=C=Pixel:
Z=log(Z),
Z=exp(p1*(Z+(p2)))+C,
|Z|<100 }
END PARAMETER FILE=========================================
> ...shouldn't it be possible right now for a 3D printer to
> create things like that, say, out of colored plastics?
Multi-color 3D printer do exist now:
http://mashable.com/2014/01/27/stratasys-3d-printer/
[The article says that Stratsys acquired consumer-oriented
3D-printing company MakerBot, that you may have heard of.]
And another color 3d printer is here:
http://tinyurl.com/Multi-color-3d-printing
or:
http://3dprintingindustry.com/2014/04/14/amaker-multi-material-multi-color-3
d-printing/
Another way to get shading / coloring is by using a
transparent material:
"A lithophane is an etched or molded artwork in thin,
very translucent porcelain that can only be seen
clearly when back lit with a light source."
- http://en.wikipedia.org/wiki/Lithophane
"Variations in thickness present a detailed, almost
photographic image when light passes through. Night lights,
ceramic panels and lamp shades utilizing this complex
technique were popular in Victorian England."
Be sure to see the photos of lithophanes at the
bottom of the Wikipedia page. I believe that the
lithophane of the cat is shown being made by cutting
material away to create the varying thickness, rather
than casting it (as with ceramics.)
So, you could 3D print a 2D fractal using a transparent
material -- with thickness as the "color" thus giving
shades of a single color. When lit from behind you'd
get a glowing fractal image.
Anyone own a 3D printer? <--<<
I once saw a white ceramic (probably Victorian)
lampshade where the image appeared only after the
light was turned on. Close examination showed that
it varied in thickness in the pattern of the image.
The image appeared in shades of gray on the
featureless, smooth outside of the lampshade -- but
only when it was turned on. It was a very pleasing
effect.
- Hal Lane
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# hallane(a)earthlink.net
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Author: JackOfTradeZ
Date: 2014-09-08 14:37 -400
To: fractint
Subject: [Fractint]
While we're waiting for Jim Muth's next FOTD... (Hal Lane)
Those are awesome! I have seen stuff like that before;
shouldn't it be possible right now for a 3D printer to
create things like that, say, out of colored plastics?
Then we could print ornaments of the mandelbulbs etc -
would make awesome living room decor!
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