; Date: Fri, 27 Feb 2009 22:29:18 -0500 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 28-02-09 (Color Collapse [5.5]) ; ; Id: <1.5.4.16.20090227222913.2b070216@pop.mindspring.com> ; --------- ; ; FOTD -- February 28, 2009 (Rating 5.5) ; ; Fractal visionaries and enthusiasts: ; ; Friday afternoon FL again asked me why I am so fascinated with ; fractals. It was a harmless question, but it surely got my ; philosophical muse active. I replied that I enjoy fractals for ; the same reason that I would enjoy being an officer or even a ; crewman on the Starship Enterprise. Since I will never have a ; chance to explore the unknown of physical outer space, I chose ; the consolation prize of exploring the unknown virtual world of ; fractals. ; ; Then FL turned a bit wistful and told me it was a shame that I ; had been born a few centuries too soon. This actually struck me ; as amusing. I replied that I had not been born too early, that ; in fact there never would be a right time. ; ; In my opinion, Man will never permanently spread his ever-increa- ; sing numbers to any place but the surface of the earth -- not ; because we will never have the knowledge or technology, but ; because we will never have the resources to meet the economic ; cost. ; ; As an example, imagine what would happen if, in today's economic ; situation, our president were to announce that he had decided to ; appropriate 10-trillion dollars to establish a permanent U.S. ; colony on Mars within 10 years. The outrage would be deafening. ; People would surely claim that having steady jobs and affordable ; necessities today was far more important than receiving nightly ; news and weather reports from Mars 10 years from now. The appro- ; priation bill would die a fast and celebrated death in congress. ; ; IMO, if the economy permits, a few men might walk on Mars in 25 ; years or so, and I might be around to see it. But that is as ; far as man will go. Our unmanned probes will continue to return ; interesting data from the other planets and their varied moons. ; Those probes might even discover extraterrestrial life somewhere ; else in our solar system. But we must face the harshest fact of ; all -- we are prisoners of our frail bodies and the life-support- ; ing environment of earth's surface that permits those bodies to ; survive. Wherever we hope to go, we must either take a bit of ; earth's surface conditions with us or create those conditions in ; our off-earth colonies. Even with any future technology we ; might develop, the cost of doing this on the scale of the 'Star ; Trek' TV series would be so overwhelming that it would never be ; seriously considered. And yes, I do watch those pop-science ; shows about worm holes on the discovery channels. ; ; (Of course, if we could find a way to explore the galaxy with ; our minds without dragging along our physical bodies, all bets ; would be off! But I have no idea how we might do this and then ; bring back valid scientific evidence of what we had observed?) ; ; Yes, we do have a fractal for today, a relatively harmless one, ; a scene in a small valley in the parent fractal that results ; when various portions of Z^(-1.6) and Z^(-5.8) are combined and ; (1/C) is added. This parent is an oversized irregular thing ; with many odd-shaped bays, and nooks and crannies everywhere. ; ; Most of the effect was achieved by rendering the image with the ; outside set to 'tdis' and the inside set to 'fmod' with a proxim- ; ity value of 0.6. The little bit of effort I put into smoothing ; the colors earned the extra half-point in the rating of 5.5. I ; thought of the name "Color Collapse" when I struck the wrong ; button and lost the first color palette, which was decidedly ; inferior. ; ; The calculation time of just under 7 minutes is true when the ; image is calculated at a resolution of 640x480x256 on a ; Pentium-4 machine running at 2000mhz, the resolution at which I ; calculate all the FOTD images. This time may be cut to nothing ; by viewing the finished image on the FOTD web site at: ; ; ; ; The heavy clouds and occasional light showers here at Fractal ; Central on Friday were made quite pleasant by a temperature of ; 57F 14C, which made it feel more like April than February. The ; fractal cats never even noticed that no sunlight was coming in ; their window. A heavy squall passed over at nightfall, but by ; then the cats had retired to their evening resting p[laces. ; ; In my department, the work was heavy, the philosophy on the ; negative side, and the fractal acceptable. Unless FL comes up ; with a project on Saturday, I'll post the next FOTD in 24 hours. ; Until then, take care, and is a realistic but negative view ; better than a positive view based on wishes? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Color_Collapse { ; time=0:06:56.38-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.315293015211623/-0.2904341824425853/\ 699884.1/1/162.5/0 params=6/-1.6/0.8/-5.8/0/0/0/0 float=y maxiter=3200 inside=fmod proximity=0.6 outside=tdis periodicity=10 colors=000HLRMOPRRNVULnbYpbWraUpaVnaWl`Xj`Zh`_f_`d\ _abZc`ZdZZeXYfVYhTYiRXjPXkMWmNWkOWhQWeRWcSW`UWYVWW\ XWTYWQZWO`WLaWIcWFcVGbUHaTIaRJ`QK_PL_NMZMOYLPYKQXI\ RWHSWGTVEUUDVUCXTBYS9ZS8_R7`Q5aQ4bP3cO1eO1eN1eM1eM\ 1dL1dK1dJ1cJ1cI1cH1cH1bG1bF1bE0aE2bE5cD8dDBeCEfCHg\ BKhBNiAQjATk9Wm9Wk9Wh9Ve9Vb9V_9UY9UV9TS9TP9TM9SK9S\ H9SE9RB9R88Q5amgaflbZqbZqbYrbXrbWsbVtbUtcTucSucRvc\ QwcPwcOxdNydPvcRscTpbVmbXjaZfa`c`c``eY_gV_iRZkOZmL\ coImqFwtBztBwsCmsDcrEWrFWqGWqHWpIWpJVoKVoLVnMVnMVm\ NUmOUlPUlQUkRUkSTjTTjUTiVTiWShXThXViXWiXYjX_kX`kXb\ lXdmXemXgnXhnXjoXlpXmpXoqXqrXrrXtsXvtXssXpqXmoXjnX\ flXciX`eXYaXUYXRUXORXLOXHMWHKWHIVHHVIIUIJUIKTJLTJM\ SJNSKORKPQKQQLRPLQPLPOMPOMPNKPNKPMOPMSPLTPKRQLTQMU\ QOUQPVQRUQSUQUWQVXQXYQY_Q_aQ`cQaeQcgQdiQfkQgmQioQk\ qQmsRnuSowSpxSrxRpvQmtPjrOhpNeoMbmL_kKYiJVgISfHPdG\ NbFK`EHYDEVEHRFKMGNUUQDIM } frm:MandAutoCritInZ {; 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)+(p4)), 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========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint