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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Toward the center of today's image, I see a feature that reminds me of a nautilus. And nautili always remind me of school. In Saint Martin's Catholic elementary school we studied the poem "The Chambered Nautilus", a poem that is obviously about reincarnation. But reincarnation conflicts with the doctrine of the Catholic Church, which teaches that we are given only one life on earth, so the class somehow finished studying the poem without hearing of the possibility that individuals might have more than one life on earth in which to get it right. Actually, there is no nautilus in today's image. There is nothing in it but paths taken by iterated points, which have been colored according to the whims of one human being -- myself. The image is a scene in the fractal that results when the formula Z^(1.75)+C is iterated at a point 8 levels down the logarithmic hyperspiral. This parent fractal is a rather unimpressive thing, kind of a half-there main bay of a lost Mandelbrot set. But it does have the remnants of an East Valley, and the northern shore of this valley is filled with debris containing midgets such as the one which appears at the center of today's image. I named the image "Chambered Nautili". Actually, I see only one nautilus in the image, but in the world of fractals, things often come in infinities, so I made the assumption that more nautili are hiding in the scene. I rendered the image with the passes set to 'b'. I chose this method because it is always the most fun to watch in action, and with this particular image it works correctly and is actually faster than passes=g. The rating of a 7 might be based on the fact that the color theme of the image is blue and orange, my high-school colors. The render time of 9-1/2 minutes is not too bad. But it could be better. Perhaps the best way to see the nautilus is to download the finished GIF image from the FOTD web site at: The clouds were plentiful here at Fractal Central on Tuesday, and the temperature reached 88F 31C, but no rain fell, and the fractal cats enjoyed a near-perfect day in the yard. Today is starting slightly cooler with full sun. Another good day appears to be on the way for the duo. For me, little of note is expected. The next FOTD will appear in 24 hours. Until then, take care, and be at ease. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Chambered_Nautili { ; time=0:09:38.81--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC2 passes=b
center-mag=+0.20871287866934790/+0.000681991233797\
58/2.109281e+010/1/85/1.37199649671848611e-006
params=1.75/0/-8/0 float=y maxiter=2750 inside=255
logmap=493 periodicity=10
colors=00099gX8rdQmlgityejqfajfTcgJWgAPh1Ih3Of5Td6\
Yb8c`9hZBmXCrWKp`Soe_njgmooltwkyqfmlabgXSbSHyhQxgV\
xgZwgcwggwfkvfpvftvfxognhgdagWVgMPgDQjCRlBSoATq9Us\
8Vv7Wx6Wz6Sv9OrBLnEHjGEfJwcLvZNuUEtS5sU7rX8q`9pfAo\
lBoqCisRcueYwtF4yKEuPOrUXoUUnTQlTMkTJiSFhSBfS8ePFh\
MLjJSlGYnDdpAjr7pt10oE9fRIYcRPp_GjVNeQU`L`WGgf7ffA\
gfChfFifHjfJkHaXKcONeGPg8NbDLZHKULIQPGMTFHXDD`C9dR\
MNPEIO6EKZMGzTEoaCdiQWccNYpFSvL9qMGmNMiOSePZaQdYQj\
XOhWMfVKdUJbTH`SFZREXQDZQC`QBaQAcP9eP8fP7hP7iTDgXJ\
e_PccVaf`_jfYmkXZWQLHJJFGIDDGBAF97E74KIDPSLVaU_kad\
uiYncRhZLbUEXO7RJ1LEHSKWYPakGgy8c9zQHWCP2AV99_F7dL\
6iR5nX7mY9lZAkZCj_Ei`Fi`TbXeXUrRRnQSjPSfOTbOTZNTVM\
URLUOLUPMXPMZPMaPMcPMfPMhHNe9Nc1Na8R`EV_KZZQbYWfYV\
gYVgYVgYVhYVhYVhYXf`Zdb_bea`gcZidXlfVngUp`WkVYgO_b\
IaZP`bV`e`_ig_lmZpsZsyZvmcpahjQldEqZ2uTBmBFmEImHLm\
KOmN7mq4mq9mrEmrJmrOmr000 }
frm:MandelbrotBC2 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*floor(p/(2*PI))
r=real(p2)-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=========================================
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times.
