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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image reminds me of a ring of satellite TV dishes, so I named it "Satellite TV". It is actually a scene in the grossly oversized parent fractal that results when 5 negative parts of Z^(-1.3) are combined with one negative part of Z^(-3.1) and (1/C) is added. When it is finally squeezed onto the screen, this parent fractal is seen to be a single large Mandeloid bay with 3 large buds, each competing to be the prominent bud. A filament extends from each of these buds and terminates in a ring. The largest rings are located northwest and east of the large bay, with today's image located where the filament joins the large eastern ring. The rating of a 6 does justice to the image, and the calculation time of only 53 seconds on the almost-S.O.T.A. P4-2000 machine makes calculating the included parameter file a breeze. And those who would rather avoid high winds may view the image on the FOTD web site at: Things were much less pleasant here at Fractal Central on Wednesday. The day began with sunshine, but by late morning the clouds moved in, and light rain fell through most of the afternoon, while the temperature hovered around 70F 21C. The fractal cats paid scant attention to the rain. They were more involved in watching for squirrels. My day was quite busy, but I kept things under control. The next FOTD will appear in 24 hours. Until then, take care, and be at ease with the intricacies of fractals. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Satellite_TV { ; time=0:00:53.66-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip inside=0
center-mag=+51.82836052591048/-42.36598795380647/\
1.507148e+010/1/-32.264893292778666/-0.08747463235\
98468573 params=-5/-1.3/-1/-3.1/0/3500/0/0 float=y
maxiter=1600 periodicity=10 mathtolerance=0.05/1
logmap=214
colors=00000G11H22I43J64M85MA6QC7PE8UG9TIBYKDYMFaO\
HbQJeTMcVOfYQc_TcaVadX_f_ZiaXkcVnfUpdSrjRpgOoiLniI\
miGkhDjhAih8hh5ff2ed0dc0cb0ba0``0__0ZZ0YY0XX0WW0VV\
0UT0TR0SP0RN0QL0PJ0szbrwYquTpsOoqJnpEmn9lm4mk0mj0n\
h0ng0oe0pd0pb0qa0r_1rZ1sX1sW1rW3qX4pY6pZ8o_9n_Bm`D\
maElbGkcIkcJlcNyeVvdUcGW_ORWWMTcHPkCMr7GkJAeU5_dC`\
aIa_g_NOaYVbW`bUfcSLGYPJXSMWWPVZSUbVTeYSi`RWLK_PMD\
20C30A309407506604603701800801D12I33M54R75W96_B7dD\
8hEG4hLAZQGPULFZR5bW0dU0eS0fQ2gO4hN6iL8jJAkHClGEP`\
PT_PXYPaWQeVQiTQnRQrQQvOQzNQyORyPRyQRyRSySSxTSxUSx\
VTxWTxXTxYTtYQpYOmYLiYJeYHbYEZYCVY9SY7OY5KY2HY0DY0\
9Y06Y05X05X04X04W04W23W43V62V72V92UB1UD1UE0TG0TI0T\
J1VL2WN2YP3ZQ4`S4aU5cW5dX6eZ7g`7hb8jc9ke9mgAniAojC\
nkDnkEnkFnkHmkImlJmlKmlMllNllOlmPlmRkmSkmTkmUkmRjl\
PjlNilKilIilGhlDhkBgk9gk6gk4fk2fk0fk8VhFKfM9dTVUZp\
JWnHUlGRkFPiEMhDKfCIdBFcA }
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.
