FOTD -- August 02, 2011 (Rating 7.5) Fractal visionaries and enthusiasts: FOTD themes have been few and far between lately, so I have decided that August will be a theme month. The theme for the August FOTD images is scenes deep in the Mandelbrot set. Today's image lies not all that deep however, just deep enough to make arbitrary precision math the better choice. The image, which requires 12-1/2 minutes to finish when arbitrary precision math is used, will calculate in only 2 seconds when standard math is used, but with a slight degradation in quality. I have included two parameter files -- one slow with high quality, and one fast with compromised quality. The scene is located on a filament extending from the northeast shore line of the main bay of the first large minibrot on the main stem of the Mandelbrot set. (the minibrot centered around -1.417) The name "Mandelbrot Affair" seems fair enough. After all, had it not been for Mr. Mandelbrot, we might never have discovered fractals. (Well, that does seem a bit unlikely, but the discovery might have been postponed quite a while.) The rating of a 7-1/2 includes a bit of a reward for the coloring, to which I gave a modicum of extra effort. The calculation time can be either fast or slow, depending on the image quality desired. The slow, high-quality version of the finished image is posted on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> and in high-definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The traditional FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Tuesday brought sun filtered by high cirrus clouds, comfortable humidity and a temperature of 86F 30C to Fractal Central. The day also brought joy to the hearts of the fractal cats, who got into a friendly tussle that grew a little out of control. The humans had a typical day, which leaves next to nothing to remember the day by. The next FOTD will be posted in 24 hours. Until then, take care, and when will the next crisis erupt? Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Mandelbrot_Affair { ; time=0:12:38.52-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.4163\ 2280574795804/5.86616949871998e-004/1.184349e+013/\ 1/67.5/0 params=0/0 float=y maxiter=5000 bailout=16 inside=0 logmap=554 mathtolerance=0.05/0 colors=000BCPBCPBCPBCPBDOBDOCDOCDOCEOCEOCEOCEOCFNC\ FNCFOCFPDGQDGRDGSDGTDHUDHVDHWDHXDIYDIZEI_EI`EJaEJb\ EJcEKdELeFMfGNgHOhIPiJQjKRkLSlMTmNSnPToQTnSUmTUlVU\ kWVjYViZVh_WgaWfbXedXdeXcgYbhYaiYaj__k`ZlbYmcXneWo\ fUphTpiSqkRrlQsnOtoNuqMvrLvsKwsJwsIwsLwsPwsUwsZwsc\ wshwsmwsrwsvwszwszwszwsvrnrnimjdhf`cbWZZRUVMPRIMND\ JJ8KF4KI6MK8OM9POBRQDSTEUVGVXIXZJY`L_mm`ru4qq5pn5o\ j6ng6md6l`7kY7jU8iR8iO8kN7lN7mN7nM7oM7pM7qL6rL6sL6\ tK6uK6vK6wK6iR9JMmJIjKFfKBcL7_L4XJA_IGaHMdGSfFXiDb\ kChnGnpKtsPyuUssZnqciphdnm_lrVkvQizLhz8ocN8WQ4PS0K\ N2GI3BD578BHGHRON_VSUXOOZKI`GCaC6PO0DZWSdzej4fI3WD\ 2L91A4by3Qd2DK1VhtFMSvH2T81Iv8Dg69T44E2nu7Ya4HJ21Y\ k0HOz0lV0OgT5XL3ME2B712Sg1IT09EhduXUfMcTBcEFcO7cCm\ cdXmRGmDemmVm`LmPAmCFz_BzR7zI3z9Pz7Gz4zz2zz6zz4zz3\ zz1zzizzYzzNzzBzzOzzEzzAzz72z3LznEzY7zHtz_nzlczPUz\ IKzCAz69z`4zIlzRXzNaz2Jz1 } Mandelbrot_Affair { ; time=0:00:02.12-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.4163\ 2280574795804/5.86616949871998e-004/1.184349e+013/\ 1/67.5/0 params=0/0 float=y maxiter=5000 bailout=16 inside=0 logmap=554 mathtolerance=0.05/1 colors=000BCPBCPBCPBCPBDOBDOCDOCDOCEOCEOCEOCEOCFNC\ FNCFOCFPDGQDGRDGSDGTDHUDHVDHWDHXDIYDIZEI_EI`EJaEJb\ EJcEKdELeFMfGNgHOhIPiJQjKRkLSlMTmNSnPToQTnSUmTUlVU\ kWVjYViZVh_WgaWfbXedXdeXcgYbhYaiYaj__k`ZlbYmcXneWo\ fUphTpiSqkRrlQsnOtoNuqMvrLvsKwsJwsIwsLwsPwsUwsZwsc\ wshwsmwsrwsvwszwszwszwsvrnrnimjdhf`cbWZZRUVMPRIMND\ JJ8KF4KI6MK8OM9POBRQDSTEUVGVXIXZJY`L_mm`ru4qq5pn5o\ j6ng6md6l`7kY7jU8iR8iO8kN7lN7mN7nM7oM7pM7qL6rL6sL6\ tK6uK6vK6wK6iR9JMmJIjKFfKBcL7_L4XJA_IGaHMdGSfFXiDb\ kChnGnpKtsPyuUssZnqciphdnm_lrVkvQizLhz8ocN8WQ4PS0K\ N2GI3BD578BHGHRON_VSUXOOZKI`GCaC6PO0DZWSdzej4fI3WD\ 2L91A4by3Qd2DK1VhtFMSvH2T81Iv8Dg69T44E2nu7Ya4HJ21Y\ k0HOz0lV0OgT5XL3ME2B712Sg1IT09EhduXUfMcTBcEFcO7cCm\ cdXmRGmDemmVm`LmPAmCFz_BzR7zI3z9Pz7Gz4zz2zz6zz4zz3\ zz1zzizzYzzNzzBzzOzzEzzAzz72z3LznEzY7zHtz_nzlczPUz\ IKzCAz69z`4zIlzRXzNaz2Jz1 } END PARAMETER FILE=========================================