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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: With its festive appearance, today's brilliant fractal might be hung on a seasonal tree, where its glowing midget would bring joy to all who behold it. Yes, I realize that fractals are unreal abstractions invented by over-educated (or under-educated) mathematicians, and therefore cannot be hung on a tree, but it's still a good thought. Considering the warm fuzzy feelings I was given by the thought, I named the image "Midget for the Season". The parent fractal consists of one oversized area of chaos with a large Mandeloid toward the north edge. This large chaotic area is surrounded by much smaller midgets scattered in all directions. One of these midgets, which lies in the east suburbs of the main area of chaos, is partially obscured, but enough of the midget is visible so that a valley can be discerned. Today's scene is located in the center of this valley. In my opinion, the image rates a 6, and that's the rating I gave it. The render time of 6 minutes on my antiquated 200mhz Pentium machine is even faster on a new 1.5ghz unit. But the fastest way to see the image is to download it from: The fractal weather today here at Fractal Central was just what the fractal cats ordered -- lots of sun, light winds, and a temperature of 65F 18.5C. The cats spent five hours in the yard, celebrating. As for me, I've got vague thoughts of inspirational philosophy and hyperspatial adventures, but nothing is ready at this time. Tomorrow may be a different story, so check then to see. Until next time, take care, pray for peace, but be prepared anyway. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
MidgetForTheSeason { ; time=0:03:39.75--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.32278594826583110/+0.528856695638909\
50/325679.9/1/177.500000000340378/2.70004033020576\
628e-010 params=0.9/-1.5/-0.8/1.5/0/0 float=y
maxiter=1000 inside=0 logmap=79
colors=000RBS_thSVWAaREROIGM00KA0PG7SBfXEXTGOQJEN6\
ggAYaEOWIEQWhsQPayGEdAH0jE6_GBaUChPCnL9`F6N9494VXu\
NfmFof7x_TZYn9WoOPpaJuoDbPNORWu9tiuxjcnkNejVeibeaa\
bUa`MaZEaXLhgSnqSdUSV6OoYeBdcA`aAYRMvPCXPGiNAXFZxc\
R_UGSpGWzu5hZAYMF9UHFHJDp_fkDZXGSJIuLvkHlbDbU9TmlD\
ZRHzKooGgeC_V8SRzraL9X_mRKZzVEeIHyRWnLTdGQVANh_zcH\
zKBFZALmyfej`ZXVSJPA1CVuZSgVQVRNIN9_9CSCFKFICIdRPY\
JNRCLxNlnIddEYV9Rp_1It4JbAKMFek4ZXASJF7L1CF8HAEDjT\
GXQJJNQXjONaMET1_G6SHBKIGCJU4FR5HP5IN5JciNXWMRILlV\
sbMgUDWwPcjIXYBQb_MXPLRFK0umBVZFoIH_JJKKZBpS8_h1d5\
JCBEFG9IGvZIdUKNPgVLWIKR8mP7cN6ULlHLRJgy2_f8SOEs5K\
g5KW5Kmb_zTtzHazFiVcX7c_EcS1crncyfcn_cdScUWc5mcIcc\
JUcKVcUJcJKcKZcU_c5VcAQcFWc0QcADcSHcO5cVFeWIgXFiXI\
kYbnbXqWRtQ8wVFz_`z7VzCQzGbzZbzUezPhz_kzCnzGqz3tzg\
wz_zzSzzSzzQzzOzzMzzczzZzzUzzPzzEzzGzzIzzjzzgzz0zz\
5zzAzzFzz1zzUzzPzzqzzhzz`
}
frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}
END 20.0 PAR-FORMULA FILE==================================
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times.
