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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image so closely resembles a galaxy that I named it "Galactic Black Hole". Current astronomical thinking is that massive black holes exist at the centers of most large galaxies. It is uncertain whether these black holes are involved in the formation of the galaxy or appear later as a result of the collapse of a large number of closely-packed stars in the galaxy's center. An even greater question is where the matter and information goes when it is swallowed up by a black hole and no longer exists in this universe. At first glance, it would appear that conservation laws are being violated, though several ways around this dilemma have been worked out. My own opinion is that such questions are of little relevance to a fractal image. All that need be said is that today's subtly colored image resembles an older photograph of a spiral galaxy, one taken before they started revving up the colors. The MandelbrotBC1 formula lies behind the fractal galaxy, which is only appropriate, since the formula draws near infinite slices and space is near infinite. In fact, the latest thinking is that space has strong negative curvature, and therefore, like the branch cuts in fractional-exponent fractals, is more infinite than infinite. The rating of 6 is far less than infinite however. The render time of 11-1/2 minutes is a bit slow, but still acceptable. The download of the GIF image file is the most efficient and convenient way to see the image, though when the image is obtained this way, the fun of watching the fractal stars appear one after the other is missed. The download is available at: The fractal weather Friday here at Fractal Central was damp and foggy but mild. The temperature of 61F 16C was warm enough, but the wetness kept the cats housebound. They displayed their irritation by getting into a hassle over the best resting spot. Tippy won the fight. I'm now about ready to start trying to relax for the rest of the day. I know I won't succeed, but it will be fun to see how far I can get. Until next time, which will arrive in 24 hours, take care, and watch for wandering fractals. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Galactic_BlackHole { ; time=0:09:53.74--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=floor passes=1
center-mag=+0.09144967526444459/+0.448034057458217\
10/9.454119e+008/1/77.5/9.17393089480689206e-008
params=1.72/0/-2/0 float=y maxiter=3600 inside=0
logmap=294 colors=00000500500500500500500500500500\
50050050050050050050050050050050050050050050050060\
0600700700800800900911A11A22B22B33C33C44D44D55E55E\
66F66F77G77G88H88H99I99IAAJAAJBBKBBKCCLCCLDDMDDMEE\
NEENFFOFFOGGPGGPHHQHHQIIRIIRJJSJJSKKTKKTLLULLUMMVM\
MVNNWNNWOOXOOXPPYPPYQQZQQZRR_RR_RR_SS`SS`TTaTTaUUb\
UUbVVcVVcWWdWWdXXeXXeYYfYYfZZgZZg__h__h``i``iaajaa\
jbbkbbkcclcclddmddmeeneenffoffoggpggphhqhhqiiriirj\
jsjjskktkktllullummvmmvnnwnnwooxooxppyppyqqzqqzrrz\
rrzsszsszttzttzuuzuuzvvzuuzttzttzsszsszrrzrrzqqzqq\
zppyppyooxooxnnwnnwmmvmmvllullukktkktjjsjjsiiriirh\
hqhhqggpggpffoffoeeneenddmddmcclcclbbkbblaalaan``m\
``n__n`_oaZobZpc_pd_qe_qf_rgarhcsiesjgtkitliumivnk\
womxpoyqqzrrzsszttzuuzvvzvvzvvzvvzvvzvvzvvzvvzvvzv\
vzvvzvvzvvzvvzvvzvvzvvzvvzvvzvvzvvzvvzvvzvvzvvzvvz\
vvzvvzvvzvvzvvzvvzvvzvvzvvzvvzvvzvvz
}
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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