; Date: Wed, 14 Nov 2007 23:34:27 -0500 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 15-11-07 (The Fractal Origin [7]) ; ; Id: <1.5.4.16.20071114233558.2aa713d8@pop.mindspring.com> ; --------- ; ; FOTD -- November 15, 2007 (Rating 7) ; ; 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 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 if very fast, but the most convenient ; way to see the finished image is to go to the FOTD web site at: ; ; ; ; and view it there. ; ; 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 center-mag=+0.9853342206082071/-1.122216812523160/\ 2.144398e+008/1/-92.5/8.51735598085545664e-007 params=2.71828182845905/0/4/-97.7695 float=y maxiter=3000 inside=255 logmap=19 periodicity=10 colors=000LJWLN_LRcKWeKZiK`lK`oPaoUboYcoQdrbinuspr\ opelvbgr_drXbk_gfalgcpkuupzuprzymrqimiirfjwcjz`kzY\ kzWazQcxKewFgu9is4kq6mp8ooAqnCsmEulGwkIzjKziVzkezm\ pzo`zqMzs7zwBzwFzwJzwNzwRzwUzwXzw_zutzsszprziqzfpI\ mzNmzRmzVmzXmz_mz_mz`mz`mzamzamzamzcmzdmzemzgmzhmz\ imz_mzSmzWmz_mzcmzjmznmzrmzLmzMmzMmzMmzMmzXmzfmzem\ zcmzdmzQmzwmzpmzjmzAwzQwz8wzJwzUwz5wzEwzNwzWwzCwzK\ wzRwzYwzlwzhwzNwzWwzjwzhwzgwzewz`wzawzbwzcwzWwzZwz\ `wzbwzzwztwzowziwzawzbwzcwzdwzawzowzAwzQwzbwz0wzEw\ zSwzYwz8wzPwzqwzlwzhwzKwzQwzVwzQwzIwzQwzYwzVwzZwza\ wzrwznwzkwzgwz6wzswzowzkwzgwzdwzdwz3wzGwzTwzOwzgwz\ 6wzIwzUwz5wz2wzzwzuwzowziwzEwzNwzWwz7wzGwzOwzXwzOw\ zUwz_wz0wzBwzLwzVwzhwzHwzPwzXwz5wzNwz`wzawzbwzcwz9\ wzHwzPwzXwz7wzSwzZwzVwzYwz_wzbwzswzowzkwzgwz`wzbwz\ 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|