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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image is not so bad for such a hurried one. But due to being out in the Poconos having fun all day Saturday, I have little time for the fractal discussion. Surprisingly, at level 26 of the hyperladder, and with the function set to 'floor', the fractal created by the formula Z^(1.875)+C closely resembles a Mandelbrot set with X-axis symmetry that has been rotated 180 degrees. The scene of today's action is located in a minor valley on the eastern shore line of the large southern bud. (If the parent fractal is rotated 180 degrees to the 'normal' position, this is the western shore line of the northern bud.) I was a bit generous when I rated the image at a 5.5. It really has little going for it other than coordinated confusion. When I named it "What's it all About", I was thinking of the 'real' 'objective' world, which we all assume to be really 'out there'. The older I get, the more I doubt that the world is actually 'out there' rather than 'in here', or more likely a combination of both. The calculation time of 7-1/2 minutes is more than the image is worth. I strongly recommend visiting the FOTD web site at: Typical midsummer weather prevailed at Fractal Central on Saturday, and it is prevailing again today. The fractal cats are ignoring it. The next FOTD will be posted in about 8 hours. Until that brief time passes, take care and search for the elusive truth. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Whats_It_All_About { ; time=0:07:30.00-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC3 function=floor inside=253
params=1.875/0/26/0 float=y maxiter=7500 logmap=420
center-mag=+0.09083559731196626/-0.751949802458988\
10/3.635092e+009/1/-165/0 passes=1 periodicity=10
colors=000SDfUEgWFhYGi`HjcIkfJliKmlLnoMor0pu4qzBhz\
HZzFYzEWzEWzCVzCUzBUzBSz9Rz9Rz8QfrBfqBhq9ho9io8in8\
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RzbPzYMzRJzMHzHEzBBz58z05z07z08z08z19z3Bz5Bz7Cz8Ez\
BEzCFzFHzHHzIIzHJIFLzFMzE }
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.
