Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal is another surrealistic scene created with one of the MandNewt formulae, which are actually the Ikenaga function in disguise. I chose formula number 1 to explore for today's image, and the formula did not let me down. As is the case with many images created with these formulas, the inside fill has been set to bof60, which has a tendency to create bubbles. The bof61 inside fill also works well with these formulas, as was demonstrated with yesterday's FOTD. The picture itself is another surrealistic one, with a mass of bubbly froth at the bottom and bubbles of assorted sizes and shapes all through the scene. The largest bubble is off-screen, though its lower part fills the upper left of the picture. The intense purple background speaks of infinite depth. I named the picture "Break-away Fractal" when I noticed the effect of individual bubbles breaking away from the mass of froth. The parameter file takes all of 5-1/2 minutes to render on a P200 machine. If that is too slow, the JPEG image file has been graciously posted virus free to the Usenet group: The fractal weather today was quite warm, but without the oppressiveness we have so much of in this area in the summer. The temperature of 88F (31C) was a bit warmer than the fractal cats would have preferred, but they spent the afternoon on the back porch anyway. My philosophy once again floundered -- I'll try again tomorrow. Until then, take care, and when it's hot, try a cool fractal. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Break-away_Fractal { ; time=0:05:30.44 -- SF5 0n a P200
; Version 2000 Patchlevel 9
reset=2000 type=formula formulafile=mandnewt.frm
formulaname=MandNewt01 passes=1
center-mag=0.10382/0.313706/16.64688/1/-42.499
params=-3.979/-3.596/1.305/-2.202/3.594/1.401
float=y maxiter=175 bailout=25 inside=bof60
logmap=yes symmetry=none periodicity=0
colors=000zxxzvvzuvxsussuorujpsgpsdoramr_mrXlpTjpQio\
OioJgoIfmGfmFdlDcl<2>C`jC_jDZiDYiFXhFWgGVgGUfITf<2>J\
QdJPdLOc<2>MLcNL`PJ`OI_PG_OHXPFWODUMCRJAQI9MF7ID6FA4\
C93Gc4zc6z<7>c7zc7zc9z<8>cAzcAzcCz<3>cCzcCzcCy<2>cDy\
cDycFx000<166>000
}
frm:MandNewt01 {; Jim Muth
z=c=pixel:
a=z^3+(c-1)*z-(p1*c)
b=3*z^2+(p2*c-1)
z=z-p3*a/b
.00005 <= |a|
}
END 20.0 PAR-FORMULA FILE==================================
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times.