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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The reason I have named today's image "Pentagonal Midget" is obvious. The very obvious hole filling the center of the frame is shaped like an irregular pentagon. To be technically accurate, I should not call the hole a midget, for it has no relation whatever to a mini-M-set. The image, with its rating of 6, is not a great one, though the arms surrounding the hole add just enough interest to get the image into the honor-legion of FOTD's. The parent fractal of today's scene was created by the formula Z^(sqrt(2))+C. The scene itself it located on the chaotic shore of a midget sitting on a very prominent filament of the main bud of the parent. The filament cannot be called a negative stem because it shoots out in a northerly direction, and due to the fragmentary nature of the entire fractal, the filament is not continuous. The parameter file takes 1/4 hour to run. The more efficient choice is to download the GIF image from: The fractal weather was once again perfect, with sunshine and a temperature of 85F (29.5C). These conditions kept the fractal cats happy. As for myself, I'll be happy when I finish the work now before me. And the only way to finish is to get started. So until next fractal, take care, and things are never so good that they can't get better. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Pentagonal_Midget { ; time=0:15:19.62--SF5 on a p200
reset=2001 type=formula formulafile=allinone.frm
formulaname=mandelbrotbc1 function=floor
center-mag=-0.48705650547436810/+3.374397806780400\
00/250175.2/1/-124.998 params=1.414213562373/0/0/0
float=y maxiter=9000 inside=0
logmap=230 periodicity=10
colors=000kf7kg6mi4nj3ok2om0qn0ro0sq0sr0us0vu0wv0w\
w0vv0uv0sv0rv0qu0ou0nu2mu3ks4ks6js7is8grAfrBerEcrF\
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zwazvczufzsizsjzrmzqozorzouznwzmzznyzmyzkywjyvjysi\
wqgwnfwmfwjewgcvebvcbvaavZ_vXZvVZuSYuQXuNVuMVuJUsH\
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VmBWpAXnAWkATg8Re8Oa8NZ7MV7KS7JO6IM6HI6FFGEBID8KB4\
MB0OA2Q86R7BS6FT4KU3OV2UW2YY0b_0f`0kc0of0ud0yf0zg0\
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jUXkSZmRanQboOeqNgqIgqMiqQjqUkqYmqanqeoqiqqmrqqsqu\
uqyvcYHeZFf_EfaDgbBicAje8
}
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.
