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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Checking my e-mail box this morning, I found 23 messages, 18 of which were junk. I am not particularly annoyed by this junk mail, some of it is actually fun, especially those blatantly scam letters from the families of assassinated leaders I have never heard of in some unlikely African nations, who want to give me 8-million U.S. dollars if I send them my bank account number. And there is also the "very excite game" family of junk, which I have received hundreds of times, and delete immediately because they contains a virus. I simply delete most of this junk automatically. This morning however, when it took 20 minutes to download my queue of e-mail, I realized that things might be getting a bit out of control. I'm even getting undeliverable messages returned to me that I never sent. If the present trend continues, I might need to change my e-mail address in the not-too-distant future. But for the present, I'll stick with the 6-year-old 'jamth' address. Today's image existed for all eternity before I stumbled upon it yesterday afternoon. It is a scene in the fractal that results when 0.1 part of Z^12 is subtracted from Z^1.2 and 1/C is added. The fractal consists of a two-lobed Mandeloid with its main filament curling off to the east. The curl in this filament inspired the name "Curlers". Today's FOTD pictures a point far out on this curling filament, where a tiny midget lurks. Most of the impact comes from the coloring, on which I spent a few extra minutes. Thanks to the strong colors, the image, which otherwise would have rated a 6, rates a 7. The parameter file is unusually fast, running in the one-minute range on most machines. It will probably take longer to go online and download the completed GIF image file. But for those who will enjoy the trip, the completed image may be found online at: The weather Thursday here at Fractal Central was of the fractal variety, as most everything in nature is, including the fractal cats, who endured 2 outdoor hours of heavy clouds and a temperature of 70F 21C before surrendering to their need for food and coming in from the yard. As for me, I'd best get busy doing the things that need to be done here in the fractal shoppe. And that means work. So until the next FOTD three days from now on Sept 2, take care, and be of sound mind and nominally unsound fractals. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Curlers { ; time=0:01:25.91--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=+0.42455251587505830/+0.001585523072115\
22/4.121986e+008/1/102.499999815637167/6.040707956\
06759248e-008 params=1/1.2/0.1/12/0/0 float=y
maxiter=280 inside=0 logmap=25 periodicity=10
colors=00000000000000000000000FA1KK5ON9RREUPIKXNNc\
SPjXSqaWyfXzl`zqaWzpZzjazecy`fwXjuSlsNpsKqqFupByn8\
zl3zj0zj0se5haEXZNNWXCSf3Pq0Lz3WzCczLnzWwzezzezzez\
wezpezhezaezWezPezIezCez6ez1ez0ez0ez0ez0In00P602K0\
9N0FP0LR0SS0ZU0eW0lX0sZ0z`0za0zc1zZ6zWCzRIzNPzKWzF\
azChz9fzBezCczCazE`zEZzFXzFWzHUzISzIRzKPzKNzLLzLXz\
RfzWqz`zzczyfywhwujusnsqpqpqpnsnnwllyjjzhhzffzeezc\
czcczhflljRpn6sq0pn0nj0jf3hc8e`EcXI`UPZRUWN`UKeSFl\
RCsR9zP6zP3zW9zaFnhKapRRwXFza5zh0zn0j0FX6EKLC8`B0q\
90z80yC0qF6jKEcNLXSURWaK`jEcnKhqRluWpyauzfyznzzszz\
wzsywnzqfzn`zhWze0hy0ls0pn0sh0wc0z`0zW0zR1zL2zH2zE\
8zKEzRKzWRzaXzhcznjzuqzzlzzhzzczz`zzWzzSzzNzzKzzFz\
zCzz8zz5zz1zz0zz0zz0zz0zs0zl0zf0z`0zU0zP0zR0zS0zU0\
zW1zX2zZ3z`6z`8za9zcBzeEzfFzhHzjIzjNzhRzhUzhXzh`zh\
czffzfjzfzzfzzfzzezzezzezzezzezzZyzUuzPpzKjzEfz9az\
5Xz1Uz0Nz0Iz0Ez09z05z00z0 }
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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