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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I enjoy junky old sci-fi movies, and to a lesser extent their close relatives, junky old horror movies. (They're not good enough to be called films.) One of my favorites is the original version of "The Blob". Yes, I know there have been more recent blob movies with better special effects, but the cheesy effects are one of the things that makes junky old movies so much fun to watch, especially after a day when a job goes sour and the customer complains. (It's nice to know that I'm not the only one who occasionally goofs up.) The more recent thrillers with their computerized effects are far better done and far more convincing to watch, but with a few exceptions they have become predictable, and more importantly, they just don't produce the same satisfaction of seeing that I'm not alone in my bloopers. Despite its lateness, today's image, which rates a 7, is not a blooper. The parent fractal, which was drawn by the formula Z^(sqrt(5))+C, is a double-lobed thing with a split along the entire length of the X-axis, and prominent buds on both sides of the split. The midget in the image is located in a tight spiral in a cutoff area of chaos in the center of the west branch of the valley of the southern bud. I named the image "The Fractal Blob" in honor of that 50-year-old movie, a film that probably deserves no honor. Running the parameter file will set one back 1/2 hour, making a download of the image file the better way of viewing the scene. In an hour or so, that download will be available on the internet at: The fractal weather today was cloudy with occasional light rain, which became heavier and steadier as the day progressed. The rain, along with the temperature of 60F (15.5C), made the fractal cats testy. As for me, I'm not testy, but I am busy. So it's time to end the FOTD for today and start preparing for the next FOTD. Until then, take care, and fractals are still politically correct. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
The_Fractal_Blob { ; time=0:28:52.22--SF5 on a p200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=floor passes=1
center-mag=-0.64630333319106740/-0.393163495225974\
80/7814360/1/125 params=2.236068/0/0/0 float=y
maxiter=4500 inside=0 logmap=-755 periodicity=10
colors=00037F37H37J37M37O37R37U37X39Z3Aa3Bc3DH3EH3\
FM4HM2FN0EN0BN0AO09O07M07O09R0AU0AX0BZ0Da0Dc0Ef0Fi\
0Fk0Hn0Iq0Is0Kv0Ly0Oz0Lz0Kw0Iu0Hr0Eo0Dm0Bj0Eg0Ie0M\
f0Qg0Ui0Yj0ak0em2in3mo4pq6rr7us8uu4uuAuuSwzFzz0zz3\
zzBzzJzzPwzZuzftzmmzkfzkazkayk`wk`ukZskYqkYokXmkXk\
kVikUgkUekTckTakR_kQYkQXkPUkPSkOQkMOkMMkLKkLIkKHkI\
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wLJwMKwMKyMMyONzOOzOOzPQzPRzPSzQSzQUzQVzRXzRXzRYzT\
ZzT_zRbzT_zTZzTYzTXwUVvUSuURrUQqUOnVNmVMjVNiVOgVQe\
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I`mI`nI`oI`qI`rI`sJ`uJ`vJ`wJ`yJ`zJ`zJ`zJ`zJ`zK`zK`\
zK`zK`zK`zK`zK`zK`zK`zM`zM`zM`zM`zM`zM`zM`zM`zM`zN\
`zN`zN`zN`zN`zN`zN`zN`zN`zM`zN`zO`zQ`zR`zS`zU`zV`z\
X`zY`zZ`z_`za`zb`zc`ze`zf`zg`zi`zi`zj`zk`zm`zn`zn`\
zo`zq`zr`zs`zu`zv`zw`zy`z
}
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.
