FOTD -- January 14, 2013 (Rating 7.5)
Fractal visionaries and enthusiasts:
In yesterday's FOTD, I remarked that calculating the image with
the inside set to 'bof61' would work wonders with those solid
black areas. In today's FOTD, I go ahead and calculate the
image with the inside set to 'bof61', which shows the resulting
insanity. I reused the same color palette to make comparison
easier.
Today's image is still about half 'inside' stuff, but the inside
and outside parts blend togehter so smoothly that it is
virtually impossible to tell the inside from the outside.
The rating of a 7-1/2 is 1/2 point higher than yesterday's. The
newly-visible inside stuff adds the additional half-point to the
rating.
The name "The Manifestation" is a comment about the previously
invisible inside stuff being made visible. The big drawback in
the image is its slowness. The image takes a full 13-1/2
minutes to calculate. Thankfully, the web sites can eliminate
the task of calculation.
Save notable time by viewing the finished image on the FOTD web
site at:
<http://www.crosscanpuzzles.com/Archives.html>
Spice things up by checking the hi-def variations at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
And don't forget the back images at:
<http://www.Nahee.com/FOTD/>
A mix of sun and clouds and a temperature of 50F 10C made today
quite pleasant for a midwinter day here at Fractal Central. The
fractal cat enjoyed the sun for a while but soon grew annoyed at
the way it kept coming and going. The fractal humans had
another back-to-work Monday.
The next FOTD will be posted when a nominal amount of time has
passed. Until we find out how much time is considered nominal,
take care, and I see many popular solutions of non-existent
problems, but where are the solutions to the real problems?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
The_Manifestation { ; time=0:13:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=+0.3922690253119078/-0.9833762241149269\
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zBzzBzzCzzCzzCzzDzzDzzDzzDzzFzzGzzHzzIzzJzzKzzLzzM\
zzNzzOzzPzzQzzRzzSzzTzzTz }
frm:MandAutoCritInZ {; 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)+(p4)),
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=========================================
FOTD -- January 13, 2013 (Rating 7)
Fractal visionaries and enthusiasts:
Today's image is named "Hidden Ghost Brots". It is probably the
first image in FOTD history where the objects that inspired the
name do not actually appear in the image. The 'Ghost 'Brots'
lie in the black 'inside' areas. When the image is rendered
with the inside set to 'bof61', these open areas fill with
detail filled in turn with well-defined minibrots. Try it and
see.
It's kind of hard to rate things that do not appear in an image,
so I could give the image a rating no higher than a 7. The
calculation time of 2-1/2 minutes is right on the mark.
For maximum convenience, the image has been pre-calculated and
posted in finished form to the FOTD web site at:
<http://www.crosscanpuzzles.com/Archives.html>
High-definition renderings are available at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The FOTD back catalog of images is online at:
<http://www.Nahee.com/FOTD/>
Today dawned damp and foggy here at Fractal Central, and stayed
that way most all day. The temperature of 48F +9C was well
above normal, but with so much dampness in the air, it still
felt chilly. The fractal cat had his eye on the outside
conditions that kept even the neighborhood stray cats in hiding.
The humans had a do-nothing day, spending more time than usual
in front of the fractal TV.
The next FOTD will be posted in the right cosmic time. Until
then, take care, and solve the country's problems with your
head, not your heart.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Hidden_Ghost_Brots { ; time=0:02:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=ident passes=t
center-mag=+0.3922690253119078/-0.9833762241149269\
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zBzzBzzCzzCzzCzzDzzDzzDzzDzzFzzGzzHzzIzzJzzKzzLzzM\
zzNzzOzzPzzQzzRzzSzzTzzTz }
frm:MandAutoCritInZ {; 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)+(p4)),
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=========================================
FOTD -- January 11, 2013 (Rating 6)
Fractal visionaries and enthusiasts:
Today's image shows one of the infinity of things that happen
when 0.3 parts of Z^5 are combined with Z^3. The resulting
parent fractal appears as a vertically stacked north-south chain
of Mandel-like bays with a 'main bay' on the southern end of the
chain. The bays grow larger and more distorted the farther
north they lie, until at the limit, little Mandel stuff at all
remains. Today's scene lies in one of four similar valleys
about halfway up the chain.
The name "Iterative Challenge" has little to do with the image.
I invented the name when, after an hour of futile searching, I
had found nothing better than today's image, which rates only a
mediocre 6.
The calculation time of 4 minutes is more time than the image
deserves. But it's still worth a quick glance, especially on
one of the FOTD web sites, where the need to calculate it is
eliminated.
Enjoy the image, already calculated, on the FOTD web site at:
<http://www.crosscanpuzzles.com/Archives.html>
and the high-definition variations at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images are at:
<http://www.Nahee.com/FOTD/>
Clouds and rain defined today here at Fractal Central. The
saving feature was the temperature of 43F +6C, which was notably
above average. The fractal cat passed the day lounging by the
heat; the humans finished the work on time and then took it easy.
The next FOTD will be posted soon. Until whenever, take care,
and feel sorry for those fortunate enough to have heavy media
coverage of their misfortune.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
IterativeChallenge { ; time=0:04:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=+0.065078360615/-1.793874546443/2774529\
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zzczzczzczzczzczzczzczzcz }
frm:MandAutoCritInZ {; 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)+(p4)),
k=real(p3)+1, esc=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < esc }
END PARAMETER FILE=========================================
FOTD -- January 10, 2013 (Rating 7)
Fractal visionaries and enthusiasts:
Today's image lies in the fractal that results when the formula
Z^(1.5)+C is iterated 379.2424085207679 levels up the complex
hyperladder with no function applied. The odd number of levels
indicates that the value was set at random by Fractint's evolver
feature. A very similar image could have been found with a far
simpler value, though I lacked time to search for it.
Actually, the complex logarithm has an infinity of values, but
this does not mean that an infinite variety of fractals is
possible. The fractals change in a circular manner as the value
of 'k' in the complex log formula is changed, and soon begin
repeating.
I named today's image "Something New". I have never before seen
features quite like the dark blue ones in today's image. The
filaments extending from them resemble those extending from
everyday Mandelbrot buds. And the filaments in the image have
identical mini dark blue mini-features lying along them.
The rating of a 7 is average. The artistic value is not that
great, nor is the mathematical interest. Extra coloring effort
might have raised the rating a half point or so however.
The calculation takes 2-1/2 minutes to finish. Significant time
may be saved by viewing the finished image on one of the web
sites.
The finished image is posted online at:
<http://www.crosscanpuzzles.com/Archives.html>
High definition variations are or soon will be online at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
Back images may be found at:
<http://www.Nahee.com/FOTD/>
Near total sun with a temperature of 45F +7C made today
unusually pleasant for the time of year. The fractal cat
enjoyed the sun; the humans enjoyed getting the work finished.
The next FOTD will be posted in a day or two. Until whenever,
take care, and the surest sign of a dysfunctional group is when
its members begin fighting among themselves instead of working
together to solve their common problems.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Something_New { ; time=0:02:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident inside=0
center-mag=+1.52637522907494/+0.5716577695720915/\
1.263153e+009/1/-90/0 params=1.85/0/379.2424085207\
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colors=000E7SF8TG9UHAVIBWJCXKDYLEZMF_NG`OHaPIbQJcR\
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z25z12zVrzRlzOgzLazIXzFRz }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)+PI-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=========================================
JoTz,
Thanks for the great videos!
http://www.fractal-animation.net/vid/valentynez.ziphttp://www.fractal-animation.net/vid/2013.zip
Single-stepping thru the rapidly changing areas
of the videos let me see all of the great fractals
that went by too fast at the default frame rate.
In the Windows Media Player V11 you can do this:
View > Enhancements > Play Speed Settings
Below the Play Speed Settings horizontal slider are
two unidentified buttons. If you pause the video,
then these two buttons advance and reverse the video
one frame at a time, so you can see the many
wonderful fractals that are whizzing by -- now frozen
for your visual pleasure.
The reverse function is buggy -- I've had to kill the
Windows Media Player manually using the Task Manager
when it appeared to hang when I asked for several
reverse steps of a video in a row. (There may have
been a patch released that I haven't applied yet.)
To go back and see something in the video that has
just passed by, I've learned to drag the blue button
of the video "progress bar" to the left a bit, and
then use the single step Advance button, thus avoiding
using the Reverse button...
The blue part of the horizontal Speed slider shows
the range of speeds where sound is able to be provided.
Note that the range of playback speeds between
"0" and "0.5" is only the distance between those
two labels on the Speed slider...
You have a keen nose for parameter sensitivity!
- Hal Lane
########################
# hallane(a)earthlink.net
########################
==================================================
> Author: JackOfTradeZ
> Date: 2013-01-02 23:47 -500
> To: fractint
> Subject: [Fractint] AOTD 1/2/13
>
> This really is a "surprise" fractal; it finished way
> ahead of what I had calculated. The same interesting
> effect is observed with all Julia type fractals
> (simple to complex) when animating in one dimension
> (linear, along a line in the plane, ie., by varying
> one parameter). There are alternating periods of
> "slow" activity and motion with fast "explosive"
> displays.
>
> One might think you could isolate the "fast"
> segments, then "expand" them by re-rendering the
> frames with a smaller increment, but if you do that,
> the same alternating slow-fast pattern re-emerges.
> I have noticed this over 10 years of Julia
> animations. Kinda like a "Cantor Set Line" - as you
> magnify it the same pattern keeps occuring.
>
> In this case it is cool - a small fractal image
> slowly morphs and expands with increasing speed and
> intensity, and the cycle repeats several times over
> the viddie.
>
> In the original FOTD for 1/1/13 the REAL parameter
> (P3) is set to -1.64788477144322.
> For the animation it is varied from -1.647853 to
> -1.647913 in steps of -0.00000001 to give 6000
> frames.
>
> It is 6 minutes 11 seconds long, 61 MEG download.
> Complete with 12th century soundtrack.
>
> http://www.fractal-animation.net/vid/2013.zip
>
> Enjoy!
> JoTz
==================================================
> Author: JackOfTradeZ
> Date: 2013-01-08 22:16 -500
> To: fractint
> Subject: [Fractint] AOTD Jan 8 2013
> .
>
>
> Fractal
> Animation visionaries
> and enthusiasts:
>
> Today's animation is derived from the FOTD for Jan 4 2013,
> "Into The Boondocks", where the REAL portion of the P5
> parameter is varied from -4.01000055420134 to
> -4.00999901475165 in steps of 0.0000000005 for 3K+
> frames.
>
> Perhaps the last one may have been a bit boring, but not
> this one. No slow parts, all psychedelic, all cruisin'
> all the way!
>
> The name -- "Valentynez" -- will be evident while viewing.
> My rating of 9 for this one makes it one of the best of
> the "kaleidoscope" animations. The calculation time of
> one day leaves every excuse for those who lack the time
> to do the calculation, especially when the finished
> viddie is available on my web site:
>
> http://www.fractal-animation.net/vid/valentynez.zip
>
> 34 MEG download for 3 min 26 sec viewing pleasure.
>
>
> Clear skies with temperatures in the 40's made today
> here at Fractal Animation Central totally typical for
> the start of January (in Colorado).
>
> The fractal coyotes have been silent recently, but
> horses and cattle can be heard in the distance at nite
> or in the wee hours of morning, adding to the pleasant
> environment of the American West, although Colorado is
> becoming more infested with liberals every day; I fear
> it will soon be New Jersey with a better climate and a
> mountain view before too long.
>
>
> The next animation (zoom "Into the Aether") will be
> posted when it is finished, in a week or two. Until
> then, take care, and I never cease to be amazed at
> the emotionally-based but ineffective solutions to
> major problems that INsincere people keep inventing.
> For example, to make the streets safer, why would any
> sensible person be against every free citizen carrying
> the firearm of their choice, open or concealed? A wise
> philosopher once noted that "an armed society is a
> free and polite society", and how right he was!
>
> Cheers
> JoTz
----
.
Fractal
Animation visionaries
and enthusiasts:
Today's animation is derived from the FOTD for Jan 4 2013, "Into The Boondocks", where the REAL portion of the P5 parameter is varied from -4.01000055420134 to -4.00999901475165 in steps of 0.0000000005 for 3K+ frames.
Perhaps the last one may have been a bit boring, but not this one. No slow parts, all psychedelic, all cruisin' all the way!
The name -- "Valentynez" -- will be evident while viewing. My rating of 9 for this one makes it one of the best of the "kaleidoscope" animations. The calculation time of one day leaves every
excuse for those who lack the time to do the calculation,
especially when the finished viddie is available on my web site:
http://www.fractal-animation.net/vid/valentynez.zip
34 MEG download for 3 min 26 sec viewing pleasure.
Clear skies with temperatures in the 40's made today
here at Fractal Animation Central totally typical for the start of
January (in Colorado).
The fractal coyotes have been silent recently, but horses and cattle can be heard in the distance at nite or in the wee hours of morning, adding to the pleasant environment of the American West, although Colorado is becoming more infested with liberals every day; I fear it will soon be New Jersey with a better climate and a mountain view before too long.
The next animation (zoom "Into the Aether") will be posted when it is finished, in a week or two. Until
then,
take care, and I never cease to be amazed at the emotionally-based but
ineffective solutions to major problems that INsincere people keep
inventing. For example, to make the streets safer, why would
any
sensible person be against every free citizen carrying the firearm of their choice, open or concealed? A wise philosopher once noted that "an armed society is a free and polite society", and how right he was!
Cheers
JoTz
.
FOTD -- January 08, 2013 (Rating 7.5)
Fractal visionaries and enthusiasts:
Those fractal trees must be everywhere. As I was investigating
the Julia sets of the (-Z)^(-1.5)+C Mandeloid, I stumbled upon
today's fractal tree. I named the image "Candy-Drop Tree"
because the tree appears to me made of candy drops.
I am certain that fractal trees much more impressive than
today's lie in the vicinity, but I had no time to do the
necessary checking.
The rating of 7-1/2 indicates an average scene on which I put
a modicum of coloring effort.
The calculation time of 6 minutes borders slowness, but once
again the web sites charge to the rescue.
To totally avoid calculation problems, check the finished image
at:
<http://www.crosscanpuzzles.com/Archives.html>
and check the hi-def variations at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
Thousands of back images are online at:
<http://www.Nahee.com/FOTD/>
Morning clouds gave way to afternoon sunshine here at Fractal
Central today. The temperature of 41F +5C and light winds made
the day quite harmless for the season. The fractal cat also had
a harmless day, which was enjoyable for him, but makes a rather
boring report. The humans got through the day with no major
problems arising.
The next FOTD will be posted when conditions are right. Until
whenever, take care, and according to the news reports, doom is
all around us. So be ready to stamp it out as soon as it rears
its ugly head.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Candy-Drop_Tree { ; time=0:06:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot5 passes=t center-mag=0.3\
99377/0/6.9855/1/90/0 params=90/0/90/0/-1.92748937\
/0/0/0/-1.5/300 float=y maxiter=1900 inside=0
logmap=-100 periodicity=6
colors=000VPUSNQPMMMPNJSOGUPDXQA_R8aRMGONGONGOOGPO\
GPOGPPGQPGQQGQQFRRFRRFRSFSSFSSFSTFTTFThvvkyvcrpWkk\
PdfHY`9RW2KR2sC6qDApEDoFHmGKlHOkISiJVhJZgKaeLedMic\
NlaOp`Ps_PraQqcQpdQofQngQmiQljQklQjnRioRhqRgrRftRe\
uRdwRcxRXtMRqHLmDFj89g4JkJTnYbqlfnmilmljmphmsfmvdm\
q_nlWogSpbOqcTkdYeeb_ffUgkOhpIhtCViHIZM5PR8SQAVPCY\
OF`NHcMJfMMiLOlKQoJTrIVuHXwHVtLUqOTnRSkURhXQe_PcbT\
bdXbf`bhdbjhbllbnobokdnhfnehmbjm_llXnlUpl_qjdqiirh\
nrgsrfKMGfcqddpbep_foYgoWhoXimXjlYjkYkjYkiZlgZlfZm\
e_nd_nc`oa`o``p_apZaqYaqXcrZdr_es`gsahtbitdjuelufm\
vgnvhowjqwkrxlsxmtxnqwlnwjlwiiwggwfdwdawb_waXw_VwZ\
Zrbbmfeijidnl`rpWvsSyrUqqWiqXapZUp_NnYPlWRkUSiSUgQ\
WfOXdMZbK`aIabHibGpaJnaLm`Nk`Pj_Rh_TgZVfZXdYZcY`aX\
b`Xd_fhgolnERyHPwKNvNLuQKtSIsUFrSKqQUpOboMhnKcmInl\
GrlEolCilBhmAgmAem9dm8cn7an6`n5_n5Zn6Uj7Pf7Lc8Ka9K\
`AK_BJZCJYCJXDIWEIVaSaZQY }
frm:SliceJulibrot5 {; 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 -- January 06, 2013 (Rating 7)
Fractal visionaries and enthusiasts:
Today's image is named "Stuck Baghorn". The name has only a
little to do with the actual image, which appears as a pentagon
with rudimentary staghorns (velvet antlers) jutting from its
edges. But these baby antlers reminded me of an old Canadian
funny-animals show starring a character named 'Buck Staghorn',
who was always stuck in his camper out in some wilderness,
observing the antics of the local wild animals and sending
messages back to Beatrice at Staghorn Central. And yes,
Staghorn Central was the inspiration for Fractal Central, which
is equally as real.
And as for today's image, it is only half real also, as are all
fractals. For a (minor) change, I have switched from the
expression Z^(-4.01) to (-Z)^(-5.01). Iterating negative Z
instead of positive Z rotates the fractal so that one of the
sharp points of the Mandeloid falls on the real positive X-axis
rather than in complex territory, where, with two coordinates to
adjust, searching for Julia sets is far more troublesome. The
SliceJulibrot5 formula might be a new one for the list. I'm not
sure.
The image itself rates a 7, at least IMO. A bit more detail
might have raised the rating to an 8, and I'm certain that
better Julia images do exist in this area, but laziness has once
again won out, and I made no effort to improve on the scene.
(Tomorrow is another day however.)
The calculation time of a mere 10 seconds is no typo. The image
really does finish almost before it starts. And in addition,
the web sites are available to remove even the chore of running
the parameter file.
The finished image is posted online at:
<http://www.crosscanpuzzles.com/Archives.html>
with augmented variations at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
Thousands of back images may be accessed at:
<http://www.Nahee.com/FOTD/>
Clouds were plentiful here at Fractal Central today, but the
lack of wind and temperature of 41F +5C kept things relatively
pleasant for January. With the temperature so far above
freezing, the forecast of light snow this evening will probably
prove to be a bust however. The fractal cat passed most of the
day stretched by the heat, except when he used up excess energy
playing with his cat cubes. The humans, (at least we were human
the last time we checked), passed the day doing as little as
possible.
The next FOTD will be posted before long. Until then, take
care, and what are fractals but a temporary break from pondering
the deeper problems of life?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Stuck_Baghorn { ; time=0:00:10.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot5 center-mag=0.0670723/\
0.206427/0.2693157/1/18/0 params=90/0/90/0/\
1.528410596/0/0/0/-5.01/3550 float=y maxiter=1500
inside=0 periodicity=0 periodicity=0
colors=000FKYzA8GC8GE8GG8Ec8CG8Ac88z88hzmGC8Gz8GG8\
EG8CG8AGBBGCBGDBGFBGGBGGBFGBDGBCGBBGCBGDBGFBGGBFGB\
000CABBzBBzzBGDBcFBGGBFGBczcccUKUF00zz000000000000\
000000e0e00eeUAKe0eeL0eeeLLLLLzLzLLzzzLLzLz000zzz0\
00555888BcBEEEHHHKKKOOOhccWWW___ccchhhmmmssszzz00z\
G0zV0zj0zz0zz0jz0Vz0Gz00zG0zV0zj0zz0HFHVz0Gz00z00z\
G0zV0zj0zz0jz0VzmrzVVzbVzjVzrVzzVzzVrzVjzVbzVVzbVz\
jVzrVzzVrzVjzVbzVVzVVzbVzjVzrKKKVrzVjzVbzhhzlhzqhz\
uhzzhzzhuzzzzhlzhhzlhzqhzuhzzhuzhqzhlzhhzhhzlhzqhz\
uhzzhuzhqzhlz00S70SE0SL0SS0SS0LS0ES07S00S70SE0SL0S\
S0LS0ES07S00S00S70SE0SL0SS0LS0ES07SEESHESLESOESSES\
SEOSELSEHSEESHESLESOESSEOSELSEHSEESEESHESLESOESSEO\
SELSEHSKKSMKSOKSQKSSKSSKQSKOSKMSKKSMKSOKSQKSSKQSKO\
SKMSKKSKKSMKSOKSQKSSKQSKOSKMS00G40G80GC0GG0GG0CG08\
G04G00G40G80GC0GG0CG08G04G00G00G40G80GC0GG0CG08G04\
G88GA8GC8GE8GG8GG8EG8CG8A }
frm:SliceJulibrot5 {; 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 -- January 05, 2013 (Rating 7)
Fractal visionaries and enthusiasts:
Today's image rates only a 7. Being simply another venture into
the Z^(-4.01)+C Julia sets, it deserves no more. But it is
still a rather striking image, demonstrating the large variety
of Julia sets in this area.
The name "The Great Mystery" refers not to the image, but to
some other vague mystery only half perceived. Perhaps, it's the
old warhorse mystery about the meaning of life, which our
over-revered science has so far been helpless to answer. (It
punts the question to religion, while implying that the beliefs
of religion are only comforting illusions.)
The calculation time of one minute will pass in a flash, but
when the image appears, it will neither answer the great mystery
nor supply a comforting illusion, but it is guaranteed to be at
least semi-real.
The pre-calculated image is really online at:
<http://www.crosscanpuzzles.com/Archives.html>
with the high-definition versions at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
Lots of back images are posted at:
<http://www.Nahee.com/FOTD/>
The string of typical early January days continued here at
Fractal Central today, with variable amounts of clouds, breezy
west winds, and a temperature of 37F +3C. The fractal cat also
had a typical day, taking advantage of the sun when it was out
and taking to the heat when the sun disappeared. The humans
mostly took it easy.
The next FOTD will eagerly be posted when the time arrives.
Until then, take care, and we should not propose knee-jerk
solutions to our problems. We should instead find effective and
workable solutions that everyone will accept. This is why the
99-percent movement went nowhere and the current push for more
gun control is futile.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
The_Great_Mystery { ; time=0:01:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=SliceJulibrot4 center-mag=0/0/0.033113\
/1/45/0 params=90/0/90/0/-1.647906886818445/0/0/0/\
-4.01/0 float=y maxiter=3200 inside=0 periodicity=0
colors=000zzzzz0570450340220110QIWNGTLEQIDNGBKE9HB\
8E96B748435212_N8UJ6OF5IB4C72631ZG6TD5NA4H83B52521\
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68K56G45C34822411KpkHieFb_CXUAQO7JI5DC266alRXeNS_K\
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5zz0h00zczi4b`3VS2NI1F907Pj8Nf7Lb6J_6HW5FS4DP4BL39\
I37E25A1371130gSlcPg_McWKZSHVOFQKCMGAHC7D858424AUm\
8Qg7Na6KX5GR4DM3AG26B135K35I24H24G24E23D23C13A1291\
2812HA1D0140120G100zcIzIGrHFnEDg7CZ6AS59N47I36E249\
13401kRc_KUODKC6AwGcqE_lDWfBTaAPW8LR7IL5EG4AA27513\
XeCT`APW9MS8SsCWsCasBisBosAvzAzzAzhRzXftRvsYczfVqI\
cqRXqMRqOLqQEqS8qT2oV8nXEmZJl`PjbVid_hfeghkfjpcdn`\
_mYUkVPjSJhPEgM8eK3dG2Y9D4D2RA1K61D306Iu7Ei5AY47N2\
3B1pDXlCUiBSfAQb9O_8MX8KT7IQ6GN5EJ4CG4AD3892661430\
2GL1EJ0zV0Cb0BF0AE09C08B0 }
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=========================================
Albrecht has had computer probs which caused
the lost of many files but he says he will
be back on the forum at a later time.
- Hal Lane
########################
# hallane(a)earthlink.net
########################
