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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Alert: the next paragraph is non-fractal in nature. The fractal fun starts in the paragraph after the next. When I opened my e-mail this morning, I noticed a letter from Earthlink, my ISP, informing me that my password had been changed and I would not be allowed to access my e-mail until I checked in at their web site and re-entered my info. Curiously, if this were actually the case, I never would have been able to access my mailbox to read the letter telling me that I could not access my e-mail. And what right does Earthlink have to change my password? I thought it was up to me to decide if and when to change it. I get so many of these fraudulent letters that I am beginning to suspect we have a new industry emerging. At least none of them complain about the hot weather. I named today's fractal image "Daisies in the Field" because that's what it reminds me of. The image is a pleasant diversion from the world of winning phony lotteries, phishing scams, and hot weather. It is a picture of an invisible midget. Yes, such things actually do exist, and we have one at the center of today's frame. To see the invisible midget in all its non-glory, simply change the inside fill to 'numb' and re-calculate the fractal. Don't wait too long, for nothing will appear but a blank screen. The midget and the whole parent fractal as well have become invisible. Everything has evaporated. Sometimes these 'evaporated' versions are better than anything done in the normal manner. At other times they are worthless. In today's case, the evaporated version is one of the better ones, though several other versions are good enough that they could have been chosen instead. The formula combines Z^(-1.4) and Z^(-4.1) before adding (1/C) to produce a typical 'inside-out' parent fractal. The rating of 6 and render time of under 5 minutes make it all marginally worth the effort. The completed image is available on the FOTD web site at: A temperature of 93F 34C on Wednesday here at Fractal Central kept the cats in the coolest spot they could find, which happened to be their window shelf, from where they could watch birds and keep cool at the same time. I kept my cool by finishing some work and not worrying about global warming. Today is starting the same, so the duo will likely have another day by the window. The next FOTD will appear as always in 24 hours. Until then, take care, and wait for the new age. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
DaisiesInTheField { ; time=0:04:47.81--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+2.22664453241798800/-1.722164951309734\
00/7704166/1/-57.5/-8.9860445882036788e-006
params=-1/-1.4/-0.4/-4.1/0/1e+100 float=y
maxiter=1000 inside=bof61 periodicity=10
colors=000Hi5Fi5Gb4HW4IQ3JJ3KC2L62QM7V`B_oF`jI`fK`\
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UPZTPaNPcHPfBPh6Ni5Li5Ji5 }
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 PARAMETER FILE=========================================
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times.
