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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's rather striking fractal makes a big splash. But despite the splash I could rate it no higher than an average 5. While investigating the variety of midgets in the Z^1.618034+C Mandeloid this evening, I came upon this lively little midget. The resemblance to a splash in a bowl of green liquid is so striking that I named the picture "Making a Big Splash". In addition to splashing, the picture also shows that the Mandeloid midgets of orders between +1 and +2 can hold a few surprises, and are not always a disorganized mass of discontinuous branch cuts. The parameter file renders in 4-1/2 minutes on a 200mhz Pentium machine. The GIF image file, which can be found at: The fractal weather today here at F.C. was mostly sunny and suitably chilly for late Autumn. The temperature of 46F (8C) held the fractal cats to a brief 10 minutes outdoors. I had a lot more four-dimensional curiosities ready to write about today, but I got bogged down in yard work and never found the time. I'll try again tomorrow. Until then, take care, and to break life's monotony, try a fractal. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Making_a_BigSplash { ; time=0:04:34.40 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotBC passes=1
center-mag=+0.07741527538333934/-0.85262096757411960\
/76711.97/1/-117.499 params=1.618034/0/-2/0 float=y
maxiter=12000 inside=0 logmap=88 periodicity=10
colors=000GOAJPEKRIMUMPYQQ_UTaYVe`WhdZji`llappdstfux\
hvz<3>_ukauhZsdVo`RjYOdU<3>9KK5II26F02D040<3>0D00F00\
I20K35M4BO5IQ6KT6MV8PW9RZAU`BWcD_eEcfFfiGjkInnJoqI0o\
J<2>0fL0dM0`M0ZO2VP2TP3QQ4MR4KR5GT6EU6BU9JUBPUEWUGaU\
JiULoUQtVOuUMuTKuRJuRGvQFvPDvOBvOAxM<2>4xK3yJ0yI0yG0\
zE0yG0yI2xK3xL5vO6vP9uQAuTDtUEtWGsYIsZKq`LqaOpdPpeQp\
f<2>JnZGnWFlU<2>8kM5jK4jI2iF0iD0hA0h80e93d95c99aAD_A\
FZAJYBMWBPVBTTDWRDZQDaPEeMEhLEkKFoJFqIFsGI<2>uDMvDOx\
BQyARy9Uz8Vz8Wz6Z<2>z3cz2j<3>z4oz5pz5q<2>z6utAvkExcG\
yVKzMMzEQz4Uz<4>D_zE`zFazIczJdzKezLfzOhzPizQjzTkzUlz\
VnzWpzZqz_sz`tzcuz<3>Yzz<8>azzazzczz<3>dzzezzezzizz<\
4>RzzOzzKzz<3>6zz<3>4zz3zz3zz0zz3zz5zz9zzBzzEzzIzzKz\
zOzz<3>Zzzazzdzzfzz9zz8zz8zzAzzDzzEzz
}
frm:MandelbrotBC = { ; Z = Z^E + C
e=p1
p=real(p2)+PI
q=2*PI*trunc(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| < 100
}
END 20.0 PAR-FORMULA FILE==================================
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