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Fractal of the Day
by Jim Muth
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Fractal enthusiasts: Yesterday's fractal showed a view of the bottomless pit. Today's fractal shows the bed of glowing coals at the bottom of the bottomless pit. Yes, I realize that a bottomless pit has no bottom, but for the sake of convenience, we'll give our pit a bottom. The scene of today's image usually is filled with imps, hopping around on the coals, crying, "ouch!" Unfortunately, none of these unpleasant entities appear in the picture. I named the picture "Bed of Hot Coals" as a description. Don't worry if the first three inches of the picture are featureless. The detail is in the bottom half of the image. The image is actually a zoom into the left edge of yesterday's FOTD. I changed the color palette only slightly, to achieve a more sinister effect in the sky. This scene itself has some interesting zooms in it, so we'll see what tomorrow brings if I decide to go zooming. The parameter file runs in a few minutes; the picture file is posted to: I've noticed that on the UF list, they're discussing whether fractals are art. Having thoroughly thought about the situation, and noting the effort that goes into the creation of some of these images, I can state in no uncertain terms that yes, fractals are indeed art. Whether my fractals are art is another question, however, and one which I have not yet answered. Some of the fractals being posted to ABPF have been achieved only after hours, even days of work. The average length of time I spend working on my images is about 15 minutes, draw time excluded. I doubt if art can be created on such a production line basis. But, art or not, I'll be here again tomorrow with another fractal, perhaps a closer look at today's bed of coals, perhaps a skewed view of a great spiral. And perhaps some philosophy. For now, I'm going to ponder whether the eight diagonals of a tesseract intersect at right angles. (I'll bet not!) Until next time, take care, and be at peace with peace. Jim Muth jamth@mindspring.com |
START FORMULA=============================================
MandNewt05 {; Jim Muth
z=c=fn1(pixel):
a=z^2+(c-p1)*z-c
b=p2*z^2+c-1
z=z-1*a/b
p3 <= |a|
}
END FORMULA===============================================
START PARAMETER FILE======================================
Bed_of_Hot_Coals { ; 0:03:48.88, p233, 640x480
reset=1960 type=formula formulafile=mandnewt.frm
formulaname=MandNewt05 function=atanh passes=1
center-mag=2.22365/1.06229/10.4956/1/77.5
params=1.172/-1.191/0.957/-0.004/-4.046/0.798 float=y
maxiter=250 bailout=25 inside=bof60 logmap=yes
symmetry=none periodicity=10
colors=000zU9yS9<2>lJ8hG8eG8<2>XD7UB7RB7<2>K87K77K87\
KA9<4>KAEKAFKAFKAF<11>KAFLAFNAF<6>_AF`WI<2>fWGgWGiWF\
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}
END PARAMETER FILE========================================
START 19.6 PARAMETER-FORMULA FILE=========================
Bed_of_Hot_Coals { ; 0:03:48.88, p233, 640x480
reset=1960 type=formula formulafile=mandnewt.frm
formulaname=MandNewt05 function=atanh passes=1
center-mag=2.22365/1.06229/10.4956/1/77.5
params=1.172/-1.191/0.957/-0.004/-4.046/0.798 float=y
maxiter=250 bailout=25 inside=bof60 logmap=yes
symmetry=none periodicity=10
colors=000zU9yS9<2>lJ8hG8eG8<2>XD7UB7RB7<2>K87K77K87\
KA9<4>KAEKAFKAFKAF<11>KAFLAFNAF<6>_AF`WI<2>fWGgWGiWF\
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cW_bUZd<11>hbSjcRjcQ<10>xgFygEygDzgByhE<5>xkKxkLxmN\
<5>vpTvpUvqWurX<5>tubqrdnofknhjjjghk<4>UWtOVy<3>bTj\
<16>GWfFWfDWfBWe<2>7We6We7Uf<3>AOgBNgDLh<3>GFiHEiIB\
jAAj<4>BBj
}
frm:MandNewt05 {; Jim Muth
z=c=fn1(pixel):
a=z^2+(c-p1)*z-c
b=p2*z^2+c-1
z=z-1*a/b
p3 <= |a|
}
END 19.6 PARAMETER-FORMULA FILE===========================
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times.
