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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal features a fancy midget set before a dark background, with an electric blue glow surrounding the elements. When I noticed this glow, I named the image "Ionization". It's a rather intricate image, which exists in the fractal that results when 0.05 parts of Z^(-15) are added to 5 parts of 1/Z. It's a striking image when first seen, a feature that earns it a rating of 6. And the total lack of branch-cut discontinuities raises that rating to a 7. If the render time were less than almost a half-hour, the image might even have rated an 8. The half-hour delay in viewing the image can be avoided by downloading the finished GIF image from: The weather Sunday here at F.C. was totally miserable, especially for cats. A cold, windy rain that set in at midday continued uninterrupted all afternoon, and changed to snow at night. The snow accumulated only 1 cm before ending, but the damage had already been done, and I was left with cranky cats to deal with. Luckily, when the cats got their tuna treat, they forgot their bad moods. It's now 10am of Monday, and though I am not loaded with work, I have enough to keep me busy a couple hours. Then, if I'm lucky, I'll find time before I start the search for the next fractal to think about something enjoyable such as the latest interpretation of quantum mechanics, whatever that is, (we get a couple new ones every year). The next FOTD will appear in 24 hours or less. Until then, take care, and we don't even know what we don't know, yet some will tell us that we know it all. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Ionization { ; time=0:26:28.93--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-3.53815673130760900/+8.947496943410712\
00/873151.1/1/115.000001629676419/-2.2939380037931\
2784e-006 params=5/-1/0.05/-15/0/525 float=y
maxiter=2400 inside=0 logmap=393 periodicity=10
colors=000KA3KA3KA3KA3KA3KA3KA3KA3KA0KA0KA0KA0IB0J\
C3ID7ICDKCKLAONATN9_O9cQ7iR7nR6rS6xT4zT4zS1zR0zQ0z\
O0zN0zN0y_0kj1Yu6Lq7Il7Hj7Ff7Dc7C_7AW79S97Q96L94I9\
3D91A906903904I04Q06W06d07k07r0Iq0Ro4_n9gnFolKxkQz\
kTziVzgVzfWzcWzaYz`Yz__zW_zV`zT`zRazQazOczNczLazLa\
yL`uL`oL_jL_fL_aO_YS`TV`QY`La`Hd`Cg`7j`6l_6nY6oW6q\
V6rV6tT6uS4xR4yQ4zQ4zO4zN4zL4zK4zKFzOQzS_zViy_rxao\
rYlnTkjQifLf`HdWCaS7`O3aNAaLHcKOcITcH`dHfdFldDrfCy\
fAzfAziKvkSin`VqiHrq1ou6nyAkzFjzKgzOfzSTxNHgI3RD09\
90AA0CC0DC0FD0HD0IF0KF0LH0NH3RF7TFCWDH`DLcDQfCTjCY\
lAaoAftAjv9ny9rz7vz7yz7uzCqzHlxLiuQdqTanYYjaTgfQcj\
L`nIWrDTv9Qz4Nz0Iz0Iz6IzDIzNIzTIzaIziIy`ItTIoNIkDI\
g6Ic0I_AIoNIzOIzQKzQLzRNzROySQxSRxTSvVTuVVtWWtWYrY\
_qY`qYarYcrYdtYftYguYiucjuilunoutruquvnxxkyxizyfzy\
czz`zzYzzVzz_zxczufzqjznlzjqzguzcxz`zzWzzTzzQzzNzz\
IrzDiz9`z4Rz0Hz07z09z09z4
}
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.
