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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: It is claimed that it all began with a big bang, and we are told that speculation about what happened before the big bang is as meaningless as speculating about what lies north of the north pole. In both cases it is less than nothing. If this is so, then we have finally found a spacetime where fractals or even their potential does not exist. But even if there is no such thing as before the big bang, this makes nothing an idea that does exist. After all, we hear it said that the energy of the vacuum caused the inflation of the big bang, and if a vacuum, which is nothing, (or is it?), can have energy, which is something, then why couldn't fractals exist 'before' the big bang, when nothing did indeed exist? It's a puzzle that requires a new type of thinking and also a new definition of the word 'nothing'. But today's image most certainly is not nothing. It is a scene lying in the same Zexpe fractal that gave us yesterday's image. Today, we travel to the tip of one of the main stems of the parent, where we find a routine Zexpe minibrot. To add a bit of interest, I reduced the bailout radius, (imag[p2]), to the point where the entire scene was on the verge of being swallowed up. Then I gave the scene a very brilliant but rather heavenly palette of colors. When I viewed the result, I thought of the moment when the Creator said, "Let there be light", and I named the glaringly brilliant image "The Fractal Origin". The rating of a 7 seems reasonable for such a pastel-pale image. The image is one of the fastest ever, with a total calculation time of 10 seconds on the 2000mhz machine and 38 seconds on the 200mhz unit. The image is very fast, but the most convenient way to see the finished image is to go to the FOTD web site at: Wednesday dawned sunny here at Fractal Central, but the sun did not last long. Heavy clouds arrived before noon, and the rest of the day was heavily overcast, threatening the rain, which finally arrived after dark. The fractal cats were more concerned with falling leaves than the potential for falling rain however. My day was notably un-notable. The next FOTD will appear here in 24 hours. Until then, take care, and where would we be if the big bang had never happened? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
The_Fractal_Origin { ; time=0:00:10.12-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC3 function=floor inside=255
params=2.71828182845905/0/4/-97.7695 periodicity=10
center-mag=+0.9853342206082071/-1.122216812523160/\
2.144398e+008/1/-92.5/8.51735598085545664e-007
float=y maxiter=3000 logmap=19
colors=000LJWLN_LRcKWeKZiK`lK`oPaoUboYcoQdrbinuspr\
opelvbgr_drXbk_gfalgcpkuupzuprzymrqimiirfjwcjz`kzY\
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cwzAwzQwzawzcwzNwzTwzZwzIwzlwzVwzZwzawzewzhwzkwzew\
z`wzWwzRwzLwzGwzBwz6wzzzz }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)+PI-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z) > r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < a }
END PARAMETER FILE=========================================
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