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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: All one sees on the streets these days is people walking about in a kind of technological daze, listening to ipods, and talking or texting on their absolutely indispensable cell phones, all the while almost totally unaware of the world around them. Observing and wondering about the physical world is what brought us the ipods and cell phones. I wonder what the obsession with ipods and cell phones will bring us. At least I am doing my part. I own no ipod or cell phone, nor do I plan on ever obtaining either of them. What I do plan on doing is to continue exploring the world of fractals, a world that might have been created by the mind of man or might have existed potentially through all eternity, waiting for something of sufficient intelligence to develop the math and means to make it manifest. In today's image for example I took the almost linear expression Z^(1.09)+C and calculated it at ground level of the logarithmic hyperladder. What I got was something that vaguely resembles the shadow of an extracted tooth surrounded by a slew of chaos. Today's scene lies in the midst of this chaos, just to the south of the center of the parent, where the confusion tries to form a rudimentary valley. I named the image "Most Unexpected" because it contains at least two objects that look like they came from another world, or at least another fractal, and all this in a nearly linear fractal. I have no idea how two well-defined pentagons could possibly appear in the middle of a field of near total chaos, but there they are, making a mockery of common sense. I rated the image at an 8 because of its unusual mathematical interest. Artistically, it's worth only a 5 or so. The image is a slow one, taking over 22-1/2 minutes to calculate on my fastest machine. But worry not, fractal fans, for I have sent the image on ahead to Paul, and it will soon be posted for instant viewing on the FOTD web site at: Thursday and Friday were more like summer than spring here at Fractal Central, with a temperature of 77F 25C on Thursday and 84F 29C on Friday, and hot sun on both days. The trees are turning green like magic, while the fractal cats are turning over on their window shelf. I spent Thursday working and Friday recovering. The next FOTD will appear in 24 hours. Until then, take care, and watch out for those B.E.M.'s who brought us the ipods that put us into a daze so that we will be unable to put up much resistance when they invade earth. Do I take the previous sentence seriously? . . . Well, if I did, I would never admit it. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Most_Unexpected { ; time=0:22:38.80-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC3 function=ident logmap=255
params=1.09/0/0/525 float=y maxiter=700000 passes=1
center-mag=-0.81021433577038280/-0.877393493784331\
20/2091.876/1/-173.281954767503862/-3.052882514793\
28032 inside=255 periodicity=10
colors=000zocxnZwmUvlPukKtjFsiAqh5og0oeAidJebTJaaT\
TZbKXlBUv2Sm6_e9gYDoQGvk5GpNMudSyuXvUz5w2CqBIkJOfR\
WWTcMUjCVaN`UXfMflEpqNjaWdMiKKjKJjJJjJJjJJEdUEeUDg\
UDiVCjVClVBnWCjWDkXElZFm_GnaGobHpdIqeJrgKshLtjLsgM\
seNsdOsbPtaQt_StZTtXUuWVuUWuTXuRYuQ_vO`vNavLbvKcwI\
dwHewFgwEhwCixBjx9kx8lx6ny4lx6lw7lv8ku9ktAksBjrCjq\
DjpEioFinGinHimIhlJhkJhjKgiLghMggNffOfePfdQfdRecSe\
bTeaUd`Vd_WdZWcYXcXYcWZbV_bV`bUabTbaScaRd`QZ_PZZOZ\
ZNZXMZXLZWLZWKZUJZUIZUHZTGZTFZTEZSDZSCZTBZSAZTBZSD\
ZTEZSGZTHZSJZTKZSMZSNZRPZRQZQSZQTZPVZRScSTcTUcVVcW\
WcXXcYYc_Zc`_ca_lc`ldakebjfcihdiiehjfglgfiehiehieg\
idgidfidfideiceicdicdicdibcibchbbhabhaahaaha`h``h`\
`h`_h`_h_Zh_Zh_Yh_YhZXgZXgZXgYWgYWgYVgYVgXUgXUgXTg\
XTgWTgWSgWSgWRfVRfVQfVQfUPfUPfUPfUOfTOfTNfTNfTMfSM\
fSLfSLeRKfSLfSLfRLfRLfRLgQLgQLgPLgPLgPLgOLhOKhOKhN\
KhNKhMKiMKiMKiLKiLKiKKzzz }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)+PI-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.
