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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The formula behind today's image subtracts Z4 from Z and adds straight C. This mixture produces a Mandelbrot-like figure rotated 180 degrees with two sizable extra bays sprouting like butterfly wings from its butt end. Today's scene is located on the south shore of the new valley separating these two extra bays. Most of the interest was achieved by rendering the image with the outside set to 'tdis' and the inside set to'fmod' with the default proximity factor of 0.01 in effect. The mathtolerance entry was necessary to assure that the image calculates at the correct magnitude. I named the image "Over a Blue Horizon" because the greenish elements in the foreground appear to be floating over a hazy, more distant, bluish background. Then I bestowed a rating of 6 on the whole works. I could see no real reason to give a higher rating. The included parameter file finishes in 5 minutes on the fast machine and 22 minutes on the slow one. The time required to go to the FOTD web site at: Heavy overcast, with a chilly temperature around 55F 13C, light rain and a raw wind from the north made Wednesday an unpleasant day here at Fractal Central. The cats of the fractal variety needed a bit of extra petting to keep their spirits up. My day was boringly average, a situation that I actually found quite pleasant. The next FOTD will appear in about 24 hours. Until then, take care, and if everything is an illusion, then nothing, whatever nothing is, is having an illusion? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Over_a_BlueHorizon { ; time=0:05:03.90-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=-0.02240988266139494/-0.000848508846262\
04/2.054005e+012/1/97.5/3.878382e-005 outside=tdis
params=-1/4/1/1/0/0/0/0 maxiter=600 periodicity=10
float=y inside=fmod mathtolerance=0.05/1
colors=000UXAUTAUPAURAUTAUVAUXAUZAU`AUbAUdAUfAUhAU\
jAUlAUnAUmAUgAUdAPaAPbAPZAKVAFSA5PA0KA5PAAVAK_AUeA\
UkAcpAciAccAFfzJ`zNVzMTzMSzMQzMPzMOzMMzMLzMKzMIzMH\
zMGzQNzUUzY`zagzeizikzmkzqkzmpzjpzfuzcuz`yzXwzUvzR\
tzNrzKpzHozDmzAkz7jzAgzCezEczG`zIZzKXzMVzOSzQQzSOz\
UMzVIzVEzVAzTIzRPzPWzObzMizKpzJwzOuzTsz0zz1zz6yzBx\
zFwzKszPpzUnzaczhczJJzLOzNSzPXzR`zTdzVizXmzNDzcFzb\
Rz`Yz_dzZkzPjzUnzpmzlmzhmzdmz`mzXZzYbzYezYhzYkzYnz\
7BzLXz5szPkzRlzSmzTnzUnzVozWpzXqzO`zNdzQgzSjzUlzWo\
z0vz4tzEszOczgFzfPzfTzfSzgRzfPzfNzjJzmEznLzlSziYzh\
`zf_zaYzXUzSKzOBzQKzSTzU`za`zWiz0Ez4Jz8OzDTzHYzLbz\
QgzUlzh_z5QzAUzEYzIazMezQizUmzFczJfzNizRlzVozRpzTp\
zUnzWpzXnzKpzNpzQpzTrzWozWpzXqzEwz0Az4Gz8LzDRzHWzL\
azQfzUlzMmzPnzSozVpz0GzATzMezdwzbuzatz_szZrzNzzTuz\
0zzOPzTczYQzYVzY_zYczYhzYmzEkzHlzKmzNnzQozTpzWqzeW\
zeWzeWzfWzfWzfWzfVzfUzfTz }
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.
