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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Is today's image truly worth the top rating of a 10? Well, I am not fully convinced it is, but what's the use of having a rating of a 10 if nothing ever makes it there. The image is yet another one in the same parent fractal that has supplied so many FOTD fractals over the past couple weeks or so. It's rare that such a harmless looking parent fractal turns out to hold so many unsuspected goodies. Today's half-and-half scene is located in a little cut-off ring-world near a large ring at the southeast extremity of the parent fractal. So far so good. But what makes the image a 50-50 one? The secret is the bailout radius. I have tweaked the bailout until the line that divides the all-there part from the half-evaporated part runs directly through the center of the frame. The left side of the image is normal equal-iteration-band stuff; the right side is half-evaporated, with the inside parts filled in by the 'zmag' option. While studying the image for a name, I noticed the hell-heaven contrast, and decided to name it "Inferno and Paradise". The rating of a 10 is based half on the artistic effect and half on the mathematical interest. I leave it to the individual fractal fan to judge if the image is truly worth the rating of an almost impossible to achieve 10. The calculation time of a brief 1-1/4 minutes on the P4-2000mhz machine will make the trip to the great fractal beyond quite a short one. On a P200mhz unit, the trip will take 7 minutes -- slower but more scenic. Another easy way to make the trip is to go to the FOTD web site at: The heat and humidity fell off a bit here at Fractal Central on Monday, but the 82F 28C was still oppressive, especially for those who must work outdoors. The fractal cats do their work indoors, so they do not worry about weather. With a 10-rated fractal, my day was good enough. Tomorrow will likely be much the same. The next FOTD will appear in 24 hours. In the unlikely event that it exceeds today's, I will have to expand the rating scale to 11. Until then, take care, and never abandon all hope, even if you find yourself hopping around on the coals of the inferno. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
InfernoAndParadise { ; time=0:01:14.92-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=+11.19123687238325/-16.75458653288057/\
17818.43/1/-147.5/8.86548195966341268e-010 float=y
params=-5.5/-1.4142/-1.1/-4/0/32750200000.0/0/0
maxiter=550 inside=zmag periodicity=10
colors=000rzzLCzH7zE3zI7zMAzPEzTHzXLz_OzYRzWUzUXzS\
_zQbzOezMhzKkzImzLizOfzRczU_zXXz_UzbRzdNzgKzjHzmEz\
pAzs7zv4zx1z2AF6AFAAFEAFIAFMAFQAFUAEYAEaAEeADiBDmC\
DpDDqKIrQKwZKtaKuaKzhKzgKviKugKseKscKsaKr`Kr_JrZGq\
YEqXBqW9pV7pU4pT2pS0oV6oYCo_InbOndTngZmidmljmnohjl\
cfiZcfU_cQW`LTYGPVBLS7IP52z95zD7zH9zLCzPEzTGzXIz`L\
zdNzhPzlSzpUztWzwYzvVzuTztRzsPzsNzrKzqIzpGzoEzoCzn\
9zm7zl5zk3zk1zmAznIzoRzqZzrgzsozqizpczoYznSzmMzlGz\
kAzj5z`6zPMzE`z3oz5kz6gz8cz9_zBWzCSzDPzCYzBezBgzQ1\
zSAzUJzWRzY_zK9zLAzLBzMCzNDzOEzOEzKHzHKzENzBQzDRzE\
RzFRzGRzHRzISzJSzKSzLSzMSzNTzOTzPTzQTzRTzSTzUVzVWz\
WXzXYzYZz`_zb`zd`zfazibzkbzmcz000qdzlbzh`zdZz`XzXV\
zTUzPSzLQzHOzDMz9Kz5Jz8HzAGzDFzFEzHDzKBzMAzO9zR8zT\
7zV6zT5zS5zQ4zP4zN3zM3zK2zJ2zO8zTEzPDzMCzIBzFAzCAz\
B9zB9zB8zB8zB7zB7zB7zA6zA6zA5zA5zA4zA4zA4zF8zKBzPE\
zUIzZLzcOzhSzmVzrYzWQzSLz }
frm:MandAutoCritInZ {; 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)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================
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times.
