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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's minimalist fractal is neither named nor rated. And it's a good thing I didn't rate it; the rating would have been truly humiliating. As for a name, I gave it no thought. The image is a Julia set of the Z^(1.1)+C Mandeloid as it appears 555 levels up the log ladder. With a render time of under 7 seconds, it is one of the fastest of all time. The included parameter file might move faster than light, but it certainly does not finish before it starts. As always, the completed GIF image of today's FOTD is available on the FOTD web site at: A sunny and only slightly chilly late winter day gave the fractal cats much to enjoy here at Old Fractal Central on Tuesday. They spent over two hours in the yard, on watch for the other cats in the neighborhood. For me it was a day of much work and little fun, but in the end I had found a skeletal fractal. That fractal appears as today's FOTD. Tomorrow's fractal is already in existence, and it will be at least a little better than today's. Until then, take care, and beware of the easy answers. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
FOTD_for_08-03-06 { ; time=0:00:06.78--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=JuliaBC center-mag=-2.23013/0.102295/\
0.2517505/1/110/2.58335020042466112e-014 passes=b
params=1.1/0/555/0/-1.498/-2.208/0/0 float=y
maxiter=1000 inside=255 logmap=yes periodicity=10
colors=000GA`GA_GAYGAWHAUHASIAQIAOJAMJAKKAHKADzUAz\
R6zW3va0vf0vk0vp0wr0xs0yu0yx0zz0zz0zz0zz0ZqSLI0`Z0\
V_0P`0Ka0Eb09b0Gg3Ml9TqFZvL_tO`sR`qTapWaoYae`aWbaM\
d`bH_s0Y`8WJMU1ZePUpkPriJsgEuf9vd3xb0ya0wg0ul0sr0r\
w0cr0PnIAj_CbPDVEFN3GF0yqGiX0hQ0hJ0gC0g50lJ0qXGuiY\
vZGvO0vE0sK0qP0nU4lZBjcIghPemWcrbCs0Of0_U0jH0UXCEl\
NJnIOoDSq9Xr4as0eu0jv0nw0ml0ma3lRBlGJl5RfFLaOGWXBR\
e6Ln1Gw0Ex1Cx6AyB9yF70aA3YD6VF8SIBPKDMOCESC7WC0ZC0\
`M0bW2cd6enAfwErl`ljPfhEaf2Wd0Rc0MW0IP0EI1AB7FM4JW\
1Oe0So0Wy0bzBizTdpL`fEWX7SN0ND0J40`A8rFVoVTmjRkiNi\
hJghFegBcg7af3`f0Yr0`Y9cDQMYT4qV7nQAkMDiHGfDJc8Ma4\
PZ0SX06OBBSGFWLJ_PNcURgZVkbRbVNUOJLGFC9B42D70E90FB\
0HE0IG0JI0KK0HM0EN0CP09Q07R0Kq6Hp8Fp9CoBAoC8oD5nF3\
nG1nH0Id7L_DNVKPQQRLXUGbWBiY6o_1pR0qJ0rB0s30lAAfHK\
`NU4SP9UOEVNJWMNXLP`MQdMRgNSkNUoOVrOWvPXyPZuK_qGam\
Cbj8df4eb0gZ0hW0gQ0gL0000 }
frm:JuliaBC { ; Formula by Andrew Coppin
e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)),
r=real(p2)-q, C=p3, Z=Pixel:
Z=log(Z)
IF(imag(Z) > r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < p4+100 }
END PARAMETER FILE=========================================
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times.
