; Date: Sat, 02 Nov 2002 09:57:30 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 02-11-02 (Electron Cloud [4]) ; Id: <1.5.4.16.20021102095916.0cf72f9a@pop.mindspring.com> ; --------- ; FOTD -- November 02, 2002 (Rating 4) ; ; Fractal visionaries and enthusiasts: ; ; Many years ago, when I was just discovering science, I became ; fascinated with the atomic world. My fascination was caused by ; a story I read about a man who begins shrinking. I forget the ; name of the story, (it might be "One Who Shrank"), but in it the ; man is placed on a block of very dense metal and shrinks until ; the atoms of the metal appear as large to him as stars and ; planets. He eventually lands on an inhabited planet, where ; they tell him that they have seen him coming in the sky for many ; years. As he continues to shrink, he finds that the atoms of ; this sub-atomic-sized world are also planets of still smaller ; worlds, ad infinitum. ; ; When I read it, the idea seemed sensible enough, so I promptly ; went to the local library to read about these miniature ; inhabited worlds that might exist within the everyday objects ; around us. But instead of alien civilizations, I found the ; world of quantum mechanics, where, unless one is a mathematical ; genius, (which I was not), nothing makes sense. I found that ; electrons, for example, are not objects in the everyday sense, ; but clouds of probability, where some indefinable non-thing has ; a certain chance of existing for an indefinable moment of time. ; I found that, for electrons, and all atomic particles for that ; matter, the very concepts of object and location are fuzzy at ; the best. But my small disappointment was far offset by my ; fascination with the discovery that the atomic world beneath the ; physical world is not as I had supposed it might appear to my ; senses. ; ; Today's image could be interpreted as a fractal atom, in which ; the electron cloud surrounds the nucleus, which in this case is ; a Mandelbrot midget. In fact, I actually did interpret it this ; way, and named it "Electron Cloud". The generating expression ; subtracts some Z^(0.9) from some Z^(-0.9) then adds (1/C). The ; parent fractal created by this expression is what I call ; unstable, that is it 'evaporates' when the bailout radius is ; increased. ; ; Since the bailout of today's image has been raised to 10^100, ; the entire scene has long since evaporated and left behind a ; totally black screen of trapped 'inside' points. Blank screens ; can sometimes be saved however, and I salvaged today's blank ; screen by applying the < bof61 > inside fill to it. ; ; The result is not great. Indeed, with its rating of 4, it is a ; bit below average. But it is worth a look. The slow render ; time of 1-1/2 hours makes rendering the image from the attached ; parameter file an option only the most devoted fractalists would ; choose. Fortunately, Paul and Scott are devoted fractalists, ; and as soon as they can render the image, it will be available ; on their web sites at: ; ; ; ; and at: ; ; ; ; The fractal weather Friday was chilly and blustery, with a ; temperature of 54F 12C and heavy clouds that dropped sporadic ; showers of rain. Needless to say, the duo of dynamic fractal ; cats disliked the conditions, and showed their displeasure with ; intermittent shouts of frustration. A treat of tuna eased their ; distress. ; ; My distress, which is not all that great to begin, will be eased ; even further when I finish the tiny amount of work that still ; lies before me. The best news of all is that I shall return in ; 24 hours with the next FOTD, one that will rate at least a 6. ; Until that moment arrives, take care, and walk with your head in ; the clouds. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Electron_Cloud { ; time=1:35:40.12--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.00606704621369720/+0.088414130616388\ 71/2223917 params=2/-0.9/-2/0.9/-0.31/1e+100 float=y maxiter=8400 inside=bof61 periodicity=10 colors=000rdzrdzrdzrdzrezrezrezrezrfzrfzrfzrgzrgzr\ gzrgzrhyrhxrhwrhvriuritrisrirrjqrjprjorjnrkmrklrkk\ rljrlirlhrlgrmfrmermdrmcrnbrnarn`rn_roZroYroXroWrp\ VrpUrpTrpSrqRrqQrqPrrOrrNrrMrrLrsKzsJrsIrsHrtGrtFr\ tDrtDruDruCruCruCrvBrvBrvBrvBqwCpwCowDowDnwDmwElwE\ lwFkwFjwFiwGiwGhwHgwHfwHfwIewIdwIdwJcwJbwKawKawK`w\ L_wLZwMZwMYwMXwNWwNWwOVwOUwOUwPTwPSwPRwQRwQQwRPwRO\ wROwSNwSMwTLwTLwTKwUJwUKxWJwVJwUIwTIvSIvRHvQHuPHuP\ GuOGuNFtMFtLFtKEsJEsJEsIDrHDrGDrFCrECqDBqCBqCBpBAp\ AAp9Ao89o79o68n59o69o69o7Ao7Ao7Ao8Bo8Bo8Bo9Co9Co9C\ oADoADoADoBEoBEoBEoCFoCFoCFoDGoDGoDGoEHoEHoFHoFIoF\ IoGIoGJoGJoHJoHKoHKoIKoILoILoJLoJMoJMoKMoKNoKNoLNo\ LOoLOoMOoMOoMPpNPpNPpOQpOQpOQpPRpPRpPRpQSpQSpQOcz0\ FUNczMczMczLczLczKczKczJczJczIcz0FUHczHczHczIczJcz\ KczLczMczMczNczOczPczQczRczRczSczTczUczVczWczWczXs\ zYczZcz_cz`cz`czaczaczacz } 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================================== ; ;