FOTD -- December 10, 2010 (Rating 7-1/2) Fractal visionaries and enthusiasts: Today's image takes us back to the center of the largest bubble in the December 07 image. After a bit of exploration in the bubble's depths, I found a not-totally-unexpected minibrot sur- rounded by smaller bubbles. Since the image lies inside a much larger bubble, from which it can never be removed without being changed into something else, I named it "Trapped in a Bubble. Today's image shows a minibrot with zigzag filaments shooting off in all directions and terminating in smaller bubbles. The smaller bubbles of course are filled with still smaller bubbles, etc. etc., down to the infinitesimal. As the meditating hermit on the mountaintop told the weary pilgrim seeking truth, it's turtles (in this case, bubbles) all the way down. The rating of a 7-1/2 is far enough above average to make the calculation time of 7 seconds a real bargain. I could have rated the image higher, but the main point of the image is the coloring, and today's coloring trick worked its magic three days ago. Something three days old is never as good as when it was fresh. There is an alternative to running the parameter file and wait- ing several minutes, and that is to check one of the following web sites for the finished image. <http://www.fractal-animation.net/fotd2.zip> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> Even though winter is still 12 days off, Thursday was a typical midwinter day here at Fractal Central, with partly cloudy skies, brisk biting winds, and a temperature that rose from a low of 21F -6C to a high of 32F 0C. The fractal cats appear to have settled in for the long haul of chilly conditions. My day was quite busy, which is both good news and bad. But the next FOTD will be posted in 24 hours, and that is certainly good news. Until next time, take care, and I doubt that anything truly supernatural or paranormal exists, but I believe that a vast number of unknown things such as ghosts and telepathy do in fact exist, and when, if ever, they are recognized by science, the natural world will be expanded to include the 'paranormal' things, which will then be seen to operate by perfectly natural laws. Jim Muth jamth@mindspring.com START PARAMETER FILE======================================= Trappd_in_a_Bubble { ; time=0:00:07.08-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=-4.869604058196/+10.91879372671/3029232\ /1/62.3/0 params=-20/-5.2/-22/-1.2/0/125/0/0 maxiter=500 inside=0 logmap=29 periodicity=0 colors=00000NGAO00PFAR00RFBU00TFDX00VEF_00XGIb00ZH\ Le00`HQi10bNTm32d_cz84fXmzD6gcrzI8imvzNAjzzzSFkzzz\ XKmb_naPngaofUplcpkZqqeuocrshsqfsuitriqvkouklvljvm\ gvnevnbvoavoYvqWvpTvrQvqOvsMvsJvsHvtEvtMwuHwvMxwRx\ xWyy`yzeyzixyjwykwykvyluymuymtynszoszorzprzpqzqpzr\ pzrozsnztnztmwumzujzqhznfzkdzhbze`zbZz_XzXVzUmzzzz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzizznzzrzzvzzzzzvzzmzzmzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzzzNzzNzzOzzOzzPz\ zPzzQzzQzzQzzSszTqzUozWmzXkzYiz_gz`rzarzcrzdrzerzg\ rzhrzirzkrzlrzmrzlrzkrzjrzirzhmkgzkfzmezmezmdzmczo\ bzqazs`zt_zuZzvZzwYzxXzyWzzVzzUzzTzzSzzSzzTzzUzzVz\ zWzzXzzYzzZzz_zz`zzazzbzzczzdzzezzfzzgzzhzzizzjzzh\ zzgzzezzdzzczzazz`zzZzzYmzXzzVzzUzzSzzRzzQzzOzzNzz\ LzzKzzJzzIzzHzzHzzGzzGzAM } 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=========================================