FOTD -- June 25, 2010 (Rating 7) Fractal visionaries and enthusiasts: NEW FORMULA ALERT! Today's formula, FinDivBrot-2J, is a new one. Actually it's simply a Julia version of the FinDivBrot-2 formula. Today's image is the first one I found with the new formula, and it rates FOTD status. I cannot recall this ever happening before. The 'comet' with the long, long tail that streaks across the entire frame is actually a complete Julia set, one of the most unlikely Julia sets I have yet stumbled upon. The corresponding Mandelbrot fractal is a Mandeloid with everything scrunched around toward the main stem, and the east side of the main bay cut off by a straight wall. Today's image corresponds to the point where the curving north shore line meets the straight wall. The image resembles a comet zooming across the sky. (In fact, comets do not zoom across the sky except in the movies.) I rated the image at a 7, which is above average. The colors are quite smooth, and it has some math interest, all of which add to its worth. The name "Cometary Residue" came about when I turned the image upside down. It originally was rotated 180 degrees from its present orientation. The coloring smoothness was achieved by rendering the image with the outside set to 'tdis', which colors the points according to how far they travel before escaping. The calculation time of under 2 minutes is not too high a price for the result, but all calculation may be avoided by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Partly cloudy skies, a temperature of 88F 31C, lower humidity and a refreshing breeze made Thursday quite an acceptable day here at Fractal Central. The fractal cats came out of hiding long enough to get into a squabble over who would spend the afternoon on the foot stool. My day was satisfactory, as far as that goes. And if all goes well, tomorrow will be a repeat. With the drought growing worse here in Pennsylvania, FL is concerned with her garden, but so far, with generous watering, the plants appear to be holding up rather well. The next FOTD will be posted in 24 hours. Until then, take care, and be satisfied. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Cometary_Residue { ; time=0:01:50.09-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2J function=recip center-mag=10.892/-14.7808/0.052083/1/90/0 float=y params=1/1/10000/0/0.79606/0.19699 periodicity=0 maxiter=5000 inside=255 outside=tdis symmetry=none colors=000zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzMzzNzzNzzOzzOzzPzzPzzQzzQzzRzzRzzSzzSzzTzzT\ zzUzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzbzzbzzczzczzdzzdzzezzezzfzzfzzgzzgzzhzzizzizzjz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzASsASsBSrBSrBSqCSqCSpCSpDSoDSoDSnDS\ nESmESmESlFSlFSkFSjGSjGSiGSiHShHShHSgHSgISfISfISeJ\ SeJSdJSdKScKScKSbLSaLSaLS`LS`MS_MS_MSZNSZNSYNSYOSX\ OSXOSWPSWPSVPSVPSUQSTQSTQSSRSSRSRRSRSSQSSQSSPTSPTS\ OTSOTSNUSNUSMUSMVSLVSKVSKWSJzzJzzIzzIzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz9zz8zz8zz7zz7\ zz6zz6zzzzzzzzzzzzzzzzzzzzzzzzzzzzz4zz4zz5zz5zz6zz\ 6zz7zz7zz8zz8zz9zz9zzAzzBzzBzzCzzzzzzzzzzzzzzzzzzz\ zzzzzzzGzzHzzHzzIzzJzzJzzKzzKzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzTzzUzzUzzVzzVzzWzzWzz\ XzzXzzXzzWzzVzzUzzTzzSzzz } frm:FinDivBrot-2J { ; Jim Muth z=pixel, c=(p3), a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================