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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's totally mixed-up scene lies in the parent fractal that results when negative portions of Z^(1.4142) and Z^(-1.4142) are combined and (1/C) is added. This parent fractal somewhat resembles a stone-age arrowhead, but in this case the arrowhead is filled with midgets and other holes of the most bizarre shape. The image is located in the center of the arrowhead, very close to the X-axis. All works of art should have a theme, but if today's image has a theme, it is very well hidden indeed. The picture is totally indescribable, filled with zig-zags and bubbling eruptions, as well as midgets scattered freely in all directions. With such discombobulation before me, I had no chance at all of thinking of a name, so I let the image go with merely a catalog listing. I did give it a rating however. I decided on a rating of 7, mostly because the image sets a new standard for fractal disorganization. The included parameter file runs in 8-1/2 minutes on my tired, worn-out 10-year-old P200 computer. The image downloads from the FOTD web site at: A rather pleasant though chilly day, with a temperature of 34F 1C here at Fractal Central on Thursday was fully appreciated by the fractal cats, who found a shaft of sunlight coming through the living room window and basked for two hours. Their biggest complaint was that the sunlight kept moving. My biggest complaint was that the work is still far from being caught up. But as the resumption of the FOTD shows, things are improving. If they keep improving, the next FOTD will appear in 24 hours. Until then, take care, and then wonder what you took care about. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
FOTD_for_Mar_09_07 { ; time=0:08:32.89--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-1.84575090216928800/+0.000326952073128\
87/23266.56/1/-145/1.02030035253886098e-008 float=y
params=-0.75/-1.4142/-0.75/1.4142/0/0 maxiter=1200
inside=0 logmap=102 periodicity=10
colors=000w0iu0cs0_q0Wo0Sm0Mj3Ig7EcAAaGG_KMYOSWUWW\
YaUagSglQlrQoxOvzMzzKzzQzzKzzGzzAxz7rz1lz0gx0at0Yo\
0Sl0Mg0Ic0C_08W07a07e07l07o07t07z07z07z07z0Az0Kz1U\
z1cz3mz3mz3hz5cz5Zz7Uz7Pz7Kz8Fz8AzA5zA0zA0zC0zE0zE\
0zG0xI0rI0nK0gK0aM0WO1QO5MQ7GS8ASA5UC0UE0YC0_C0aC0\
eC0gC0iC0nA0oA0rA0vA0xA0zA0zE0zA0z80z70x50x31v17v0\
At0Gt0Kl8ScK_YWgQioKvxCzz1zz7zzAzzEzxIzoMziQzaUzWY\
zOazGezAiz3nz0rz0tz0vz0vz0xz0xz0zz0zz0zz3zz5zz8zzC\
zzEzzIzzMzxOzvSzvYzvUzvSxvQrvOivKcvIYvGSvEKvAEv88v\
70t03v5QxElxOKt7Uo8clAlgAvcCz_EzUIzWEzYAz_7za5zc1z\
c0ze0zg0zi0zl0zl0tQ0W70000800M8IYSelnzxzzvzztzzrvz\
rnzoizneznazlYziUzgQzgMveMrcMmcMh_KcWIZSGUOEUKCUGA\
UC4U80U50U10Z00Z00c00c00c00h00m00m00m00m00r00v0Wz0\
ez0ez0ez0ez0ez3ezCezMezWezeezoezzezzezzezzezzezzez\
zezzezzezzezzezzezzezzezzezzezzezzezzezzezzezzezze\
zzezzezzezzezzezzezzezzez }
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 PARAMETER FILE=========================================
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times.
