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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's brilliant but otherwise unexceptional image lies in the parent fractal that comes into being when equal portions of Z^(1.5) and Z^(3.5) are combined and C is added. This parent fractal resembles a plump caterpillar crawling southward. Today's image is located on the northwest shoreline of the main open area of its parent, which corresponds to the caterpillar's plump abdominal section. Since the fractal is unexceptional, I gave it no name and no rating. The brilliant colors can carry the humdrum image only so far. The calculation time of 7-1/3 minutes is a bit on the slow side for an image of today's worth. But instant relief is available on the FOTD web site at: A bright and slightly chilly day here at Fractal Central on Sunday brought the fractal cats to the window, where they enjoyed the sunlight for several hours. The outside temperature of 48F 9C left the comfortably resting cats unconcerned. My day was busy, but I have seen far worse days. It still looks like the next FOTD will appear in 24 hours as scheduled. Until then, take care, and be at ease among the countless horde of fractals. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
FOTD_for_Mar_12_07 { ; time=0:07:20.12--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident inside=0
center-mag=-0.07673088311695143/+0.325701772414534\
10/404431.4/1/157.5/-2.43351833129068496e-009
params=1/1.5/1/3.5/0/0 maxiter=1800 periodicity=10
float=y logmap=151
colors=000IY0J_0Kb0Le0Mh6NkDOnHPqOQtSRwZSydTzhUznO\
zrJzyFzzOzwUzp`zjfyfdwddtbdrbdp`bnZbnZblXbjX`hU`fS\
`fS`dQZbOZ`OZZLZZL`UQ`SSbOUbLXdJZdF`dDbfBff6hh3jh1\
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00L00Q00X00`00f00j00n00t00y00fQ0nU0pb0jn0dz0Zzcczc\
bz0dz0dt0fl0hf0jZ0jQ0lH0n80p00p00l00h00f00b00`00X0\
3U08S0FQ0JQ0QO0UL0`L0dJ0jH0nH0tF0yD0zD0zB0zB0z80w8\
0`8BF8S08f03b01`00Z00X00S00Q10O60LB0HH0FL0DS0BX06`\
03f01j00n06X0BF0F03J0FO0UFDSHBQJBOJBLL8JO8HO8FQ6DS\
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`QHUXBOb3Fh08n01t00y01r08l0Fh0Lb0QX0XS0bL0hF0nB0r3\
0y00z00z00z00z00n30`F1OQ68`B0jD0tHUzJcrHmhHw`HzQHz\
FHz6Hz0Hz0Hz06z00z01tJ3zj8zzB0z00z00z0BzBHzFLzJSzO\
XzS`zUfzZjzbnzftzjyzlzzpzztzzyzzzzzntzbhzQzzDLz0Bz\
00z00z00z00z00z00z10zBzz0 }
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.
