FOTD -- June 03, 2011 (Rating 6)
Fractal visionaries and enthusiasts:
Today's image came to life when I combined 7 negative parts of
Z^(-1.7) with 0.7 negative part of Z^(-7.7) before adding (1/C)
on every iteration. The resulting parent fractal is one of
those shapeless, pretty much indescribable things with lots of
interesting detail.
Today's scene is located in the southeast part of the parent,
just beyond a ghostly pink Mandeloid that has pretty much
evaporated into the fractal astral plane. The blue background
was created by rendering the scene with the inside set to
'bof60'. The shredded, highly colored foreground stuff came
about when I raised the bailout radius to 500.
The overall effect is of a surrealist painting by one of the
early 20th-Century artists, when surrealism was all the rage.
It seems strange that artists were drawing fractal patterns well
before we knew fractals existed. And unless I'm mistaken, women
were quilting fractal patterns hundreds of years before the men
discovered the patterns.
When I stood back and carefully pondered the image on the
screen, I decided it was worth a rating of a 6, which is above
average, but nothing to get excited about.
I have no idea where the name "Random Mischief" came from. It
was simply on the screen when the time came to dream up a name.
But with a little imagination, the image actually might be seen
as getting into mischief.
Mischief aside, the finished image is posted at:
<http://www.crosscanpuzzles.com/Archives.html>
The high-definition version is posted at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The original classic web site can be found at:
<http://www.Nahee.com/FOTD/>
A stellar day prevailed here at Fractal Central on Thursday.
The crystal clear sky and temperature of 75F 24C made outdoor
activity a pleasure, while the breeze from the northwest cooled
even the busiest outdoor worker. The fractal cats are never
busy, but even they seemed pleased with the conditions.
The humans had their own tasks to accomplish. FL is not quite
satisfied with the progress of this year's garden, so she spent
time gardening. I am never quite satisfied with anything, so I
spent time pondering the unknown. The next thing to be pondered
is the next FOTD, which will be posted in 24 hours. Until then,
take care, and start every day with a fractal. If you're out of
them, pick up a supply at the nearest fractal outlet store.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Random_Mischief { ; time=0:00:30.39-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=1.30834/-0.117586/67.48308/1/180
params=-7/-1.7/-0.7/-7.7/0/400/0/0 float=y
maxiter=1500 inside=bof60 periodicity=6
colors=000PlVPiVPeUPbUPZUPWUPTTPPTPMTAATA0GA00A0LA\
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J7EI8EI9DHACHBBGmfTicRf`Q }
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 -- June 02, 2011 (Rating 5)
Fractal visionaries and enthusiasts:
Today's image is more a demonstration of the 'fmod' feature of
Fractint than an actual fractal discovery. The scene of the
action lies in a bit of satellite chaos circulating around the
rather impressive fractal that results when 0.2 part of Z^3 is
combined with Z^2 before C is added.
When rendered in the normal equal-iteration manner, the image
falls totally flat. Re-rendering it with the outside set to
'fmod' and the proximity set to 3 adds enough life to raise the
rating to a humble 5, just enough to qualify it for FOTD status,
at least on a fractalist's lazy day.
The name "FMOD to the Limit" indicates that the FMOD outside is
just about all there is to the image. The calculation time of
23 seconds means that little time will have wasted if the image
falls flat even with the FMOD outside.
The finished image is posted at:
<http://www.crosscanpuzzles.com/Archives.html>
The high-definition version of the image may be accessed at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The original web site is available at:
<http://www.Nahee.com/FOTD/>
I read in the morning paper of another cell-phone cancer scare,
but I see no need for concern. All you wireless internet gadget
addicts out there can take comfort knowing that the phone compa-
nies would certainly warn us voluntarily if using their wireless
gadgets is dangerous, just as the tobacco companies voluntarily
warned us that using their tobacco products is dangerous.
Another heat-wave type day prevailed here at Fractal central on
Wednesday. The sun was scorching hot, while the temperature of
95F 35C made things uncomfortable even in the shade. The
fractal cats, seeking comfort, found it on the cool bare floor,
where they were happy all afternoon.
The humans had an uneventful day. A similar day is expected
tomorrow. The next FOTD will be posted in 24 hours. Until
then, take care, and what do those scare-monger scientists have
against wireless internet gadgets, which are so much fun?
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
FMOD_to_the_Limit { ; time=0:00:22.94-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=-5.135858728183282/+1.553327883652744/\
1.560795e+012/1/40/0 params=1/2/0.2/3/0/0/0/0
float=y maxiter=1500 inside=0 proximity=3
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FRDFQDFPDFOEFNEFMEFLEFKFFJFFIFFHFFGGFFGIEIJFKLGMOI\
ORKQUMSXOU_QWbSYeU_hWakYc }
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 -- June 01, 2011 (No Rating)
Fractal visionaries and enthusiasts:
Today's image is named "Rainy-Day Minibrot". I gave it this
name because the image was resurrected from my 'reserve' files
-- older images that I hold in reserve to recall when laziness
attacks as it did on Tuesday.
The image shows a minibrot of order 2.05 located near the
negative X-axis of the parent fractal that results when the
formula Z^2.05+C is iterated at a level of a measly 0.12 turn up
the log spiral with the 'recip' function applied. This parent
is shaped almost exactly like the minibrot.
Since the image is an older one and I put almost no new coloring
effort into it, I could give it no rating. But if I had rated
it, I would have given it a rating around a 5.5.
The calculation time is a very zippy 36 seconds. Calculation
may be avoided however by viewing the finished image at:
<http://www.crosscanpuzzles.com/Archives.html>
The high-definition is at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The classic FOTD web site is at:
<http://www.Nahee.com/FOTD/>
Total heat and humidity prevailed here at Fractal central on
Tuesday. When the temperature reached a high of 95F 35C the
fractal cats retired to the cool tile of the bathroom floor,
where they spent the next several hours.
Meanwhile the humans took things easy in their own way. FL
checked to see that the garden was well watered, while I
relaxed with a fractal. The next FOTD will be posted in 24
hours. Until then, take care, and the current issue of 'Time'
magazine has an article about the tendency of people to look at
the bright side of bad events instead of the realistic side. I
have not yet had a chance to read the article, but it is proba-
bly irrelevant. I am certainly not guilty of looking at the
bright side of bad things. (I'll have more to say about this in
an upcoming FOTD.)
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Rainy-Day_Minibrot { ; time=0:00:36.64-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=recip
center-mag=-1.372754717265681/+0.02681174574841239\
/4.650326e+011/1/7.5/0 params=2.05/0/0.12/0 float=y
maxiter=1500 inside=0 logmap=67
periodicity=6 mathtolerance=0.05/1
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zzUzzTzzRzzQzzPzzOzzNzzLzzKzzJzzIzzHzzKzzNzzQzzTzz\
VzzYzz`zzczzfzzhzzkzznzzq }
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=========================================