Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: When a package or roll of photographic film is opened carelessly in a darkroom in dry weather, black tree-like figures sometimes appear on the film when it is developed. The figures are caused by sparks of static electricity that are created as the layers are peeled apart too roughly. These figures have a name, which eludes me at the moment, though I think it begins with the letter 'l'. If I could remember that word, I would have the perfect title for today's image, which reminds me of the sheets of ruined film that I have thrown away over the years. But, being unable to remember, I have named the image "Charged Midget". The scene of today's picture lies in the same fractal as yesterday's, though in a totally different part. Whereas yesterday's scene was located at the end of a filament, today's is located deep in an almost featureless valley on the WNW shore of the main bay. And speaking of fractal bays, this one has that strange hourglass-shaped chunk of total chaos sitting in the middle of it. Usually, such totally chaotic areas hold nothing of interest, but this one is worth at least a cursory investigation. If I find something, it will be tomorrow's FOTD; if not, I'll turn somewhere else. Today's image rates an 8, keeping the run of exceptional images unbroken. The total lack of reds is intentional. Sometimes fewer colors can have greater impact than more. The image was rendered with the 'passes equal b' option, which I rarely use, but which sometimes is the fastest of all. With today's 3-3/4 minute parameter file, the difference of a few seconds is inconsequential however. As always, the GIF image will soon be available on the web for those who would rather not run the parameter file. The URL's are: The fractal weather today featured a temperature of 81F (27C), changeable skies, with nearly every cloud type imaginable, and a light sprinkle at noon to wet those going to lunch. It also wet the fractal cats, who scowled as they retreated indoors until the rain stopped. And it's now time for me to retreat to the task of accomplishing the day's work. Until next time, take care, and will we ever find out who is right? Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Charged_Midget { ; time=0:03:42.60--SF5 on a p200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=b
center-mag=-14.16793212758799/-11.36345363439138/2\
6147.93/1/19.999 params=-0.6/-1.3/-0.006/-3/0/800
float=y maxiter=1500 inside=255
logmap=43 periodicity=0
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}
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.