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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Once again I must let down my faithful readers, who were (hopefully) waiting with bated breath for further adventures on the hypersphere. Unexpected work arrived, leaving me no time to write. But I did find time to dredge up a quickie fractal. (In the future, I will not promise an article until I actually have it written and composed.) The formula of today's fractal subtracts 1.3 parts of Z^(0.9) from 1.3 parts of Z^(-1.1) and adds 1/C, producing a 3-lobed figure that is quite sensitive to the bailout radius. The scene of today's image is deep on the left side of the right valley. I named the image "Mandelbrot Mania" because of the appearance of the parent fractal more than the appearance of the image itself. I rated it a 6 because it's a little better than a 5 and not quite worth a 7. The render time of 44 minutes is a bit much to ask for an image that rates only a 6, so I recommend downloading the GIF image from: The day began cloudy and foggy here at Fractal Central, but by noon the sun burned off the dampness, leading to a warm afternoon with a temperature of 79F 26C. The fractal cats enjoyed much of their time outdoors, but still managed to find something to fight about. All ended well however, with the dynamic duo sleeping together peacefully on the porch. My philosophy today is very brief -- just a moment's pondering. (The brevity is no problem because the membership of the Philofractal list is very small.) God is one thing; religion is another. And with the present world situation, which exists because of religion gone amok, I find myself wondering what, if anything, religion as we know it has to do with the (perhaps fractal) abstract creative power we have named God. No wonder there are Atheists in the world, who doubt the existence of the creative power. With a day's work waiting to be done, I must now close the FOTD and get busy on other matters. But I'll return in the proper time. Until then, take care, and hope for the best. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Mandelbrot_Mania { ; time=0:45:23.09--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.07345537336418037/+0.042097568866235\
17/3.724103e+007/1/-115.000000007003862/5.70113192\
766008581e-009 params=1.3/-1.1/-1.3/0.9/0/50
float=y maxiter=6000 inside=0 logmap=745
colors=000WffVjmVjkVjjUjiUjhUkfTkeTkdTkbSkaSk`Sk_R\
lYRlXQlWQjUQhTPfSPdRTbSU`TUZUVXVWVWXTXYRYYP_ZN`_La\
`JbaJcaJdbJecKfdKgdKheMifOigQihSjiUjjWjkYjkZkl`kmb\
kndkoflphlqjlrmmqklpiloglnekmcklbkk`kjZjiXjhVjhUjg\
SifQieOidMhcKhbJhaHh`Fg_DgZBgY8hZAgZBfZDf_Ee_GdXHb\
`Jc`Kb`MbaNaaP``PaaQ`aQ`aR_aR_aS_aSZaTZaTZbTYbUYbU\
XbVXbVXbWWbWWbWWcXVcXVcYUcYUcZUcZTc_Tc_Td_Sd`Sd`Rd\
aRdaRabQZUQWbQTbQQ`INZALXCIVDJTEJRFKPGLNIMFJMGKNHL\
OIMPJOPKPQLQRMRSNSSOUTPVUQWVRXVRYXQWYPVYOUXNTWNRWM\
QVLPXKOPFNZJL`IKaHJcGIdGGUFFZEEhDDiDChFE`HFbJHfLIf\
NJePLaRMeTOfVPfXQgZSg`ThbVhdWifXihZjj_ilainbhpchre\
gtfetdgsgiqjkllmgoobrpXsqYtjZob_jW_eO``HaW9bR2aL2b\
M3cN4cN5dO6dO7eP8fQ9fQAgRBgRCiSDjSElTFnUGoUHqVIrVJ\
tWKvXLwXMwYNvYOwZOw_OuZ2tS2rT3rU4rV5qV6qW7qX8oY9oY\
AnZBn_CmbDmgEllFlqGlvHlzIlzJlzKlzLkzMkzNkzOkzPkzQk\
zRjzSjzTjzUjzVjzWjzXizWjz
}
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.
