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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I named today's image "Rebirth of the FOTD". Actually the name is kind of a misnomer, for the FOTD has never really died. It merely slowed down a bit while I was catching up on the work that had fallen behind during the previous month. But the work is now up-to-date, and the FOTD is back on track. Today's rather baroque-looking fractal is a not-bad resumption. It is an 'evaporated' scene in the fractal that results when 9 parts of Z^(-0.9) are combined with one part of Z^(-9) and (1/C) is added rather than plain C. The scene is then 'evaporated' by raising the escape radius to one-googol, resulting in a screen of nothing but 'trapped' 'inside' points. The blank screen is then re-rendered with one of the dynamic inside-fill options. In today's case the 'bof61' inside fill works best. Trying to decide on a rating for the image was no problem. IMO, it is clearly fancy enough and different enough to be considered above average, which requires a rating of a 7. With a few interruptions, the FOTD has been ongoing for 6-1/2 years, but in that time I have never posted a fractal honestly worthy of a 10. I have posted a few 9's, and I did once post an image of the Mandelbrot set, which I rather artificially rated at a 10. The rating was justified. After all, the M-set is rather the perfect fractal, to which all others must be compared. But I have never posted another image that rated a 10. Perhaps I never will post an image that rates a 10. To rate an honest 10, an image must honestly be 'the best of all time'. Since rating fractals is such a subjective thing, and I want to avoid the 'grade inflation' like that which is afflicting so many of our schools, an image would need to be truly supercallifragillisticexpialidocious to move me to give it a rating of 10. But the goal of a perfect 10 still remains. And who knows? One of these days or years, I might achieve it. Today's image may be viewed by saving this letter as a text parameter file and then running it in Fractint and waiting 6 minutes, or by downloading the completed image from Paul's web site at: Friday was a near ideal Autumn day here at Fractal Central, with the blue of the sky being marred by only a few unusually dense cirrus clouds. Accompanied by light winds and a temperature of 70F 22C, these conditions gave the cats a comfortable afternoon in the yard. At one point, a small flock of starlings settled in a nearby tree. When Thomas saw them, he chattered at them, but the birds flew away and the day ended peacefully. Today is again starting near perfectly, with only a few scraps of work lying around waiting to be done. I should have plenty time to find a fractal to knock your socks off. But if I do, I'll then need to find one to put the socks back on. And I am currently reading a newly released book titled "Consciousness -- a user's guide". It should supply action on the Philofractal list in the not-too-distent future. But before then, I shall return in 24 hours with fractal action. Until tomorrow, take care, and where will it all end? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Rebirth_of_theFOTD { ; time=0:06:34.64--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+3.95208506849724700/+1.024358072558484\
00/259242.9/1/20.0000000007082015/-1.4442258847169\
3203e-009 params=1/-9/9/-0.9/-0.9/1e+100 float=y
maxiter=750 inside=bof61 periodicity=10
colors=000FjfHlcJn`LoZQjbUefYaiaXmeTpiOtmKwjOphRie\
UbcXWa_Qb`Tb`Wb`Yba`bacbaebbhbbkbbmaci`df_ecZf`YgY\
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6od6oe7of8og8oh9oiAojAojBokColComDonEooEopFopFmiGk\
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mUVmWTmXRm_UjaWgcZde`bgc_ieXkhUmjSlgQkdPjaNj_MiXLh\
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dR_ZVaTZdObfIfiCjk6nn1qp4pq6pr8psAptCpuEpvGpwIpwGk\
iEgWCcJBaMA`P9_S9eoBglDii }
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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