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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: To produce today's fractal, I mixed together portions of Z^4 and Z^5 before adding C, and cooked them slowly over a low flame. The resulting dish took almost 1-1/2 hours to finish, but it was worth the wait. I named the finished product "The Infinite Mosaic". With its unusually intense colors, the image does have a kind of mosaic feel about it. And most fractals certainly are infinite. So the name seems justified. The render time is a puzzle. It is hard to say why an image with such routine parameters should take so long to calculate. From its appearance, I would expect it to finish in something like 10 minutes. I can blame no one who decides to save an hour or so by downloading the completed image from Paul's FOTD web site at: I sent the image file to Paul separately, so it should be posted by the time you read this letter. The extraordinarily brilliant colors raise the rating from a 6 to a 7. But the unusually slow render time lowers the overall value to a humble 8.2. It's still an interesting image however, with its tight mosaic-like spirals and tiny midget hiding almost invisibly at the center. The clouds moved in on Sunday here at F.C., then they moved out, leaving warm sunshine and a temperature of 63F 17C, which was enough to keep the fractal cats happy. The weather experts' forecast for today is again cloudy, but I see lots of sun and blue sky out there. I expect the cats will find this acceptable. For me, the work is in the modicum range, which I should finish in plenty time to find the next FOTD fractal. Until tomorrow, take care, and become one with the fractal universe. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
TheInfinite_Mosaic { ; time=1:25:01.15--SF5 on a P200
reset=2003 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=+2.06994532777612900/+0.379001200947109\
80/2.290883e+011/1/85.0010974549234959/-0.00072585\
6327050203309 params=-0.15/4/0.045/5/0/0 float=y
maxiter=14400 inside=0 periodicity=10
colors=000zztzzzzzzzzzzzzzzzzzbt_Cr70tA0wA0zC0zC0z\
F0z20zF0zS0ze0zr0wz2mzCbzKSzVKzbNz_NzXzzXzzVNzSNzS\
NzQNzQNzNNzKNzKNzINzINzFNzCNzCNwANr7No7Nm4Ng4Ne2Nb\
0NX0NV0NS0KQ0KQ0KQ0IQ0IQ0IQ0FQ0FQ2FQ2CQ2CQ2CQ2AQ2A\
Q2AQ27Q47Q47Q44Q44Q44Q42Q42Q42Q70Q70Q70Q70Q70Q70Q7\
0A20Q7XeCzrFoj7_b0KX02Q00I00C00F00F00I00I00I00K00K\
40KA0NF0NK0NQ0QV2Q_4Qe7SjASoCStCVzFVzIVzKXzNXzQZzS\
_zV_zV_zQazNezKezIgzCgzAjt7jo4mg0m_0oS0oK0rC0t00r7\
0rF0qN0pV0ob0oj0or0mw0mz0mz0mz0jz0jz0jz0ez0Zx0Yl0W\
j0Tl0Qm0Hp0Op2Nv4Kw7Ix7FyAAzC7wF4tI2oK0mN0gQ0eS0_V\
0XZ0S`0Qb0Xe0bj0gm4mrArtFwzKzzQzzVzz_zzkzzozztzzwz\
zzzzzzzzzzuzzpzzizzbzzXzzSzwNztKzoFzjAzg4zb0zX0zV0\
zQ0zI0zN0zS0zV0w_2tb7ogFmjKgoSet__weXzmSzrQzzKzzJz\
zIzzKzwKztNzrNzoQzmQzjQzeSzbSz_VzXVzVVzSXzQXzK_zI_\
zF_zCbwAbw7ew4ew2ez0gz0gz0ez0bw0_t0Xo0Vj4Szo0zo0zr\
0zt4ztCXwIezNmzVrz_zzgzzm }
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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