FOTD -- February 25, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal was created with the MandelbrotMix3a formula, which combines 4 different powers of Z but requires that the critical points be calculated manually. In today's image, various portions of Z^(-5.5), Z^(1.5), Z^(2.5) and (1/Z) were combined, and a critical point was entered as (p5) to produce a parent fractal that consists of little more than a scattering of disconnected fractal strings. But some of the strings hold curious little Mandelbrot atoms, one of which is the star of today's sizzling fast image. When rendered in the traditional manner, with the outside set to 'iter', today's image is rather dull. The 'tdis' outside option brings the scene to life however, and earns the rating of a 7. I chose the name "Good Versus Evil" when I noticed the contrast between the strong celestial blue in the center of the image and the lurid red around the edges, which hints at devilishness. Of course, in a theoretical battle of good against evil, the result must always be a stalemate. Both sides are equally powerful. I rendered today's image with the 'passes=b' option, which is the fastest with this particular image. It is also the most fun to watch. The drawback is that it often completely misses some features of the images on which it is used. Though today's parameter file renders fast as lightning, the FOTD web site, where the completed GIF image has been posted, is still fun to visit. The site is located at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Snow fell all day Thursday here at Fractal Central, keeping the fractal cats confined all afternoon to their shelf by the window, where they watched the birds scrounging for food. The duo must have been reasonably contented with their situation, for they were satisfied with the normal serving of tuna. This morning is starting with some sun, but it is still cold and we are deep in snow. I have no idea how the duo will manage the challenging conditions. For me it's another average day with the average amount of work to clear away before tackling the fractal world. The 6 inches 15cm of snow that fell yesterday is not enough to stop normal activity of a rather large city, so I have no excuse to put things off. The next FOTD will appear in 24 hours. The wrap-up of the philosophy will appear a few days later. Until next time, take care, and where is Yukon King? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Good_Versus_Evil { ; time=0:00:56.74--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=ident passes=b center-mag=+1.295364358/+0.033121647/21027.75/1/16\ 5/7.70038116604254697e-010 params=0.5/-5.5/2/1.5/\ -0.3/2.5/-4/-1/0.8541307166/0 float=y maxiter=256 inside=255 outside=tdis periodicity=10 colors=000YtBXtCWtEVtFUsGTsISsJRsLQsMPsNQoQRkSSgUT\ cWU_YVW_WSaXOcUMgRKkPInMGrJEvHDyLIuPMrTQnXUk`Ygcad\ gfakjYonVsrR0005HDsHJlHIfHH_HGUHENHDHHCAHB4HA6IE7J\ I9JMAKPBLXDLdEMkNPmKSoPVqUYsZ`ultzUghL0`CGS42K9ETE\ PaJ_iE`dAa_5bV1bQ9e_HhhPkqMojKrczzXzzRzzSQzSVhT_cT\ dZUiTUnOVsJVfHiVFw_MmdSciZVndLsjColIknNgoSdqX`saXt\ fTvkQwpyPrx`qwlpvwoc3ieFYgRNibBjn0k`BlNLmAVaMXQYZE\ i`2tb8rcDqdJpeOnfUmgZlhQ_lHOo8Cr5AU3859DHEITKNcPSo\ UXzLi9QeBVaD_YFZULYQQXMVWI`VEeUAjU7oR9jPBeMD`KFWHH\ RFJMCLHANDlLFc_CVmAQoGLpMHqRCsX7tb3ugNV_f4TYCWQJZI\ QaAXdCTTDPHHNLKLONJRRHVUFYXD`_Cc_B``BY`AVa9Sa8Pb7M\ b6Jc5Gc5Db7Fa9H`BJ_CLZENZGPYIRXJSWLUVNWVPYUQ_TSaSU\ cRWeRXfUZeW`dZbcmu0lt2ks4kr6jq8ipAioChoEhnGgmIflKf\ kLejNdiPdiRchTcgVbfXaeZad``cb97vB9tDBsEDrGFqHHpUN`\ NGPG9ELKFQUGVcHZmHUlKQkNLjQHjTCiW8hZ4haDafLWjTQn`J\ rhDvp7zm3Vj00g64eB8bGC000 } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================