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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: It's a holiday today here in the USA, and I intend on making the most of it. But first, I will produce my FOTD. In addition to enjoying fractals, I also enjoy junky old sci-fi movies and almost-as-junky old comic books. One of my favorite comic heroes from the past is Captain Marvel, AKA Billy Batson, who gets his super powers from a mystic wizard known as Shazam. (There also were various other characters with magical powers in the comic series, but only the captain himself was the real thing.) When the captain spotted the forces of evil in action, (AKA Sivana, the evil scientist), he frequently exclaimed, "Holy Moley!" And when I saw today's fractal, I exclaimed the same thing. I had found the name for today's image. The rating of 7 soon followed. The image is another scene located far down the logarithmic spiral of the Z^sqrt(2)+C fractal. In this case, the area that holds the scene is a tiny fragmented island floating in the main bay. This explains the fragmentary nature of the image. The parameter file renders in 25 minutes. The GIF image downloads in one minute from: The fractal weather today was sometimes cloudy and sometimes sunny, with a temperature of 74F (23.5C) and a series of heavy thunder-storms in the afternoon and evening. The cats griped and grumbled about the intermittent downpours, but were comforted by occasional treats of tuna. As for me, I'm going to get started early to beat the next round of thunder-storms, which is due to arrive this afternoon. Until later, take care, and fractals bring the peace that defies description. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Holy_Moley { ; time=0:24:55.62--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=floor passes=1
center-mag=-0.35475931415572680/-0.018444369957113\
51/278173.3/1/155 params=1.414213562373/0/29/0
float=y maxiter=6000 inside=atan outside=tdis
logmap=yes periodicity=10
colors=000e00e00e00g11jC6mMCmUHpeMrpSrxYzppzgzzbzz\
UzzPzzSzzSzzSzzUzzUzzUzzYzzYzzYzu_zp_zj_zebz_bzUbz\
PbzMUzMMzKEzK6zH0zH0zE0zE0zC0zC0z90z66z4Sz1mz0zp0z\
b0zS4zPCzMKzKSzK_rHgeEpUExHCz69z09z00z00z00r90gb0Y\
z6MzEUzHbzKjzKrzMzxPzrPzmSzgSzbPz_PzYMzUMxSKrPKmMH\
jHHeEE_CEU9CS6CM49H19E09C1C91E91H61K41M41P11S11U01\
Y04_04b04e04g04j04m04p04r04u06p16m96jE6eM6bU6_b9Yg\
9Sp9Px9Mz9Hz9EzCCzC9zC4zC1zC0zC0zH4zKCzPKzSSzY_r_e\
gem_guPmzEpz4uz0xz0zz0zz0zz0zz0zz0zz0zz0zz0xz0uz1p\
z9mzJ0K00H01K06K0CP0HS0MU0SU0Y_0bb0gg0mj4pmCurKzuS\
zzbzzjzzrzzzzzzzzzzzxzzrzzpzzjzxezu_zrYzpSzmMzgHze\
Ezb9z_4zU0zS0zP0zM0zK0zE0zC0z90z60z40z60z90zC0zE0x\
H4rHCjKHeMP_PUSSbMSgHUp9Yu4_z0bz0ez0ez0gz0jz0mz0pz\
0pz0mz0mz0mz0mz0jz0jr6jjEjbKjYSgPYgHeg9mg1rg0ze0ze\
0ze0ze0ze0zU0zM6pEMb4_S0mE0z40z90zE0zK4zPCzUKz_Sze\
_zjgzppzuxzxzx_zb00b00b00
}
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.
