FOTD -- June 12, 2012 (Rating 7.5) Fractal visionaries and enthusiasts: I have frequently found scenes in Mandelbrot sets corrupted in their depths by higher-order energies. But until today the corruption has always been of a whole number. Today we have a parent fractal with fractional 3.5 corruption in its depths. In fact, the corruption is not confined to the depths. It is very obvious even on the surface of the parent, where it has changed the Mandelbrot shape into the old Pac-Man shape, which resembles a pie with a slice cut from it. Today's scene lies in some leftover debris in the large north bud of the Pac-Man parent. The minibrot at the center is totally of order 3.5, while the elements in the surrounding pattern are a mixture of order 3.5 and 2. The entire scene lies in an area of anti-bifurcation, though little of it is apparent in the image. The rating of a 7.5 includes only a small bonus for the coloring, most of which was created by the program. The name "Trey and a Half" refers to the degree of corruption, which is 3-1/2. The calculation time of 30 seconds makes the image a real bargain. The time will pass in a flash. View the finished image without the flash on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> A rendering in high definition is online at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Back FOTD images are available at: <http://www.Nahee.com/FOTD/> Heavy clouds, steady rain and a temperature of 70F 21C spoiled the entire day here at Fractal Central. The fractal cats kept occupied exploring the latest cat cube complex, discovering that the cubes do not work when stacked on top of one another. The humans had their fun watching the cats make the discovery. The next FOTD will be posted in the very foreseeable future. Until that glorious time arrives, take care, and it appears the country needs to be saved. Would the next savior please step forward. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Trey_and_a_Half { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.7590701344475/+0.0129579945248/\ 5.39309e+008/1/-37.5/0 params=3.5/350/0/0 float=y maxiter=1750 inside=0 logmap=38 periodicity=6 colors=00059K9DKCGKFJKIMLMQMPTHTWCVY7WZ2VY3TW3RU4P\ S4NQ5LN5JL6GI6EG7CE7AB88986694492298OODibBc_9YX7SU\ 5NR3HO1BL06IHMRY`_moglnfkmejldikcmmbmmamm`zz_zz_zz\ WkhTniPpiMrmasqpolqkhqgdqc`q_XrWTrSPrPLrOKpOJnOIlO\ HjNGhNFfNEdNDbMC`MBZMAXM9VL8TL7RL6PL5NNDUPL`RSgTSk\ USoWSrXSvYSych`ixDYnBMd9BW8Z7zY6yX6xX6wW5vV5uV5uU4\ tU4sT4rS3qS3qR3pQ2oQ2nP2mP2mR6lT9lVClWGkYJk_Mk`Pkb\ TjdWjfZjgbiieikhilkimmhnngnofoqeprdpscqubrvarwapvh\ nuokqoimofjodfoaco__oXXoVToSQoQMoOJofLfyMZrO`lQbeS\ c_TeUVgNXhHZjB_kEZlGYlIXmKWmMVmOUnQTnSSnURoWQoYPp_\ OpaNpcMqeLqgKqk_toovkmuhkueitbgt_etXcsUasR`rOZrLXr\ IVqFTqCRp9Pp6OpBMoGLoKJoPIoUGoYFobDofCodFnbIm`KlZN\ lXPkVSjUUjPTaLTUHSLDSDCUGCWICYKB_NBaPBcRBeTAgWAiYA\ k_9mb9od9qf9rhCpdFnaHlZKkWNiTPgQSeNVdKXbH_`Ea_B`_A\ __A__AZ_AY_9Y_9X_9W_9W_8V_8U_8U_8Sa7Qc7Od7Mf7Lg7Ie\ 5Gd3Dc1Bb05Of5Lg5Ih5Fj5Ck } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, 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=========================================