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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 spider web in purgatory, with the brilliant light of hope visible in the distance. I named it "Web of the Gods". I am not sure whether the church doctrine says purgatory still exists, but regardless, the image is a striking one. And if a God did not create the possibility of fractals, who or what did? The fractal formula subtracts Z^(-0.5) from Z^(1.5) to produce a parent fractal that resembles a warped Mandelbrot set with a field of twisted filaments lying to the northwest. The image is located rather deep on one of these filaments. I could have rated the fiery image at either an 8 or a 9. Being on the conservative side, I decided on an 8, but I guess the most accurate rating would be an 8-1/2. The render time of 7-1/2 minutes is well within reason for such a striking image. Running the included parameter file is the most enjoyable way to view the web of the gods, but visiting the FOTD web site at: Sunny skies and a temperature of 43F 6C made Sunday an average day here at Fractal Central. The fractal cats were unusually frisky most of the day, chasing each other up and down the hallway, with their feet on the wood floor creating the sound of a distant stampede. But by the time the evening treat was served, they had settled down enough to eat their fill. My day was uneventful, which allowed me the time to find and create today's unusually attractive image. If tomorrow is equally uneventful, the FOTD fractal is likely to be well above average again. But in the world of fractals, nothing is guaranteed, so check back then to see what happens. Until next time, take care, and how much time would it take for today's fractal to reach the Andromeda Galaxy? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Web_of_the_Gods { ; time=0:07:37.26--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=+0.60018581308502960/-0.176748721957931\
80/2.141276e+011/1/-130/0.0007 params=1/1.5/-1/\
-0.5/0/0 float=y maxiter=1000 inside=255 logmap=156
periodicity=10 mathtolerance=0.05/1
colors=000000220430630841A52C53E64G65I76K87M88N99P\
AAQABRBBSBBUDAVEAXF9YG9_H9`I8aJ8cK8dM7fN7gO7hP6jQ6\
kR6mS5nT5oU5p_4re3tk2wp2zm3zk3wi3mg3cd3Ub3K`3IZ3IW\
3IU3HS3HQ3HN3HL3HJ3HH3HE3HC3HA3H83DG6AO96WC3bFDzEN\
wDOuEPsEQqERoESmFThFUcFVZFWXGXVGYSGZQGdOHjMHpKHvHH\
wFIsDIoBIj9IcHLaPO_XRYcUWkXUs_TzbUwbVtbWqbXobYlbZi\
b_fb`dbaabbZbcWbdUbeRbfObgMbeN_dNYcNWbNUaNS`NQ_NOZ\
NMXOJWOHVOFUODTOBSO9RO7QO5TP6XQ7_R8cS9fSAdRCcQDbQF\
`PG_PHZOJXNKWNMVMNUMOTQNTUMTYLSaKSeJSiISmHLgREa_7W\
h0QqGLgWHYjDPkERlFSmGTnGUoHVpIWqJYrJZsK_tL`uMavMbu\
Q`tTZtXXs_WscUrfSqiQqmPppNptLowJozInyGnyFnxEmxDmwB\
mwAmv9lv8lu7lu5kt4kt3ks2ks1dm0Yg0Ra0LX0PW7TVEXUK_U\
RcTXgScjSiSUUAWEDZDG`CIcBLeAOg9QjATlFVnKVoPVoUVpZV\
pcVphVqmVqrVrvVrzVrzVszVszVtzVuzVvzUwzUxzTyzTzzSzz\
SzzRzzRzzQzzQzzPzzPzzPzzNzzLzzJzzHzzGzzEzzCzzAzz8z\
z7zz5zz3zz1zz0zzCzzNzzzzp }
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.
