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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Where are all those extra FOTD's coming from? Every time I post through AOL, it seems to happen. Today's FOTD holds a surprise. During the first half of the render, it looks notably unimpressive, but the lower half features a most unusual Mandeloid. This is not a midget -- it is the whole fractal, which explains why the render goes so fast. The iterated formula is a simple one, subtracting a portion of Z^(-0.7) from Z^(0.7) then adding 1/C. The result is a picture of a totally pooped-out Mandeloid lying flat on its face. I had no choice but to name the image "All Pooped Out". I rated it a 7 because I think it's kind of cute, though I really don't care much for funny-face fractals. The render time of under 3 minutes is reasonable. If it is not reasonable enough, the GIF file of the image is available on the Web at Paul's site at: The fractal weather today was reasonably pleasant, though a dry squall spoiled the evening. The afternoon temperature of 73F (23C) kept the cats happy. I've got a busy day coming, so that's it for now. Until next FOTD, take care, and see you soon. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
All_Pooped_Out { ; time=0:02:42.14--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.0101616/-0.136298/22.56982/1/142.5
params=1/0.7/-1/-0.7/-4.5/5000 float=y maxiter=440
inside=bof60 logmap=yes periodicity=10
colors=0000xz0vz0sz0oz0lz0gz0dy0av0`s0Yp0Vm0Tj0Qg0\
Pd0Ma0L_0IX0FV0DV0AT09S06S06S04Q04Q03P03P01P01O00O\
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m_Am`An`9n`9oa7oa7pc6qc6qc4rd4sd3sf3tf1ug1ug0vg0vi\
0vi0vi0vg0uf0tf0rc0p`0mY0kV0hS0eP0cM0`J0YG0VD0TA0R\
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7TM7TO7TQ7VS7XV9YX9__9``9ac9cd9dg9fi9gj9il9jm9lo9m\
pDosImsOjsSguVfuZ`ubVufPvjJvoDvs7vv1yx0vz0uy0sx0rv\
1pu3os4mr6lp7jo9imAglCfjD
}
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.
