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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I am quite pleased with today's image, so pleased in fact that I rated it a lofty 9, which equals 'one of the best' on my scale of fractal worth. I named the image "Simply Wonderful" as a statement of my opinion of it. Actually, the image came as a lucky mistake. When I brought up the MandelbrotBC1 formula, I forgot to shift the function from the 'recip' that I had been using with the M-Mix4 formula. I had intended on using the 'floor' function and didn't realize my oversight until well into exploration of the parent fractal. But my mistake turned out to be serendipitous when I found a very interesting area to investigate. The result almost but not quite speaks for itself. I don't know why today's image pleases me so. Perhaps it's the colors, but probably not, for I spent only 15 minutes working with the colors. Perhaps it's the shapes, but I have seen such shapes countless times before. Perhaps it's the mood I'm in, but my mood is also average. I suppose it's one of those things that we'll never know, but regardless, the picture is pleasing to look at, and well worth a look. The expression Z^1.861209718+C was iterated to create the fractal. The exponent is the fourth root of 12, though I doubt that this has any effect on the finished image. The wonderful image may be seen by running the parameter file and waiting 12 minutes or by giving Paul and Scott a chance to render and post the GIF file of the image to their web sites at: The fractal weather today was partly cloudy with a temperature of 79F (26C). The afternoon and evening were spoiled however by a series of heavy thunder-storms, which deluged the area and frightened the fractal cats under the bed. I'll return in roughly 24 hours with a fractal and the start of the philosophy I've been accumulating over the past several months. I've got a break, and the time at last has come to kick start the sleeping Philofractal list with some controversial words of wisdom. Until tomorrow, take care, and enjoy today's fractal -- it could be a long time before a better one appears. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Simply_Wonderful { ; time=0:12:04.56--SF5 on a p200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=recip passes=1
center-mag=-0.597094120794136/+0.7542511965684781/\
1.392532e+009/1/-122.5 params=1.861209718/0/5.5/0
float=y maxiter=2800 inside=0
logmap=317 periodicity=10
colors=000_2Z_2_b2`e2`h2ak2an2aq2`t3aw2avAavFbvHdt\
LdtPesSfsXfsZhrbirfipikpmlpplotmoyomzomzpmzpozmpzk\
pzirzfszdszbty`twZvvXwtUwsSyrPzpNzoLzmJzlHzkFziCzh\
Azf7zm5zk3zb1zb0za2r`3i`6aZ7UYALYCDXF5VG0VH0SG0RF0\
PD0OC0LA1K91J71H62F5GD3zC2tA1r70m60k50f30d10a00Z00\
X00U00S00R00P00O01N02L05K06J09H0AH0CJ1FK1GL1JL1KN1\
NO2OP2RP2SR2VS2XS2YU1ZU1ZU1`U1`U1aU1aU1bU1bU1dU1dV\
1eV1eV1fV1fV1hV1hV1iV1iV1kV1kV1kS5fP9bNCZLGXJJSGNO\
DPLCUH9YD6`A3d62f20k00m00r00t00s01r05p07p0Co0Gm0Jm\
0Nl0Rk0Uk0Yi0ae0ea0hY0fU0fU0fU0fU0fU0fU0fRGfRNfQUf\
LafOafObfPbeRdbedaheZkeYmfVpfUrhSthPwiOztLzzKzzJzz\
OytUrhZkfbdehYdmUbsUawU`mUfdUmVUtLUzDUzGUtHUhJaXKf\
KLf7Nf0Ok0Oo1Ol3Os5Ps7Pt9PtCPtDRzGRzHRzKRzLSzOSzPS\
zSSzUUzXUzYUz`UzaVzbVzdXzdXzeYzfYzfZzhZziZzi`zk`zl\
azlazmbzobzobzpdzrdzrezseztfztfzvfzvhzsizpkzmlzkmz\
iozfpzdrzaszZtzYvzVwzSFzP
}
frm:MandelbrotBC1 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(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 20.0 PAR-FORMULA FILE==================================
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times.
