FOTD -- March 11, 2005 (Rating 6) Fractal visionaries and enthusiasts: For some reason, I keep winning contests that I have never entered. Yesterday is a typical example. While waiting for a tardy customer to call in the final corrections for his job, I heard the phone ring. When I answered the phone, I heard a very excited voice congratulate me, telling me that I had just been selected to win a brand new Lexus. Suspecting with good reason that something was not as it seemed, I asked the caller if I had actually already won the Lexus or if the dealer was merely having a sales promotion. When the caller started talking about the great deals they were offering, I was disappointed but not surprised. Today's image is not quite up to yesterday's, and it is certainly not up to a new Lexus, but it is not disappointing and it is actually a bit surprising. It takes us to the north valley of the Mandelbrot set (I forget the valley's name) and looks at it from the Parabolic direction. Once again, the image resembles one of the miniature Julia sets found in the parent Julia sets of the area. The slices of the Julibrot in the Parabolic orientation are filled with features that resemble Julia sets. But unlike true Julia sets, where all miniatures in the same set are the same shape, the Julia-like miniatures in Parabolic sets can be of any shape, even in the same parent fractal. There is an orderly arrangement of the shapes of the miniatures in Parabolic sets, though I have not yet completely figured it out. Today's image needed far less un-distorting than yesterday's. It still has been stretched in the vertical direction however, by a magnitude of 2, and skewed by a factor of 9. Like yesterday's image, today's image turned out to be a perfect Julia-like miniature once the corrections were applied. The coloring of today's fractal is not quite up to that of yesterday's image, but it is still unusually smooth for a GIF fractal. And the incredibly fast render time of 1-1/2 minutes makes the task of rendering the image from the included parameter file a minor event. I named today's image "Peaches and Cream". The peach tint around the edges inspired the name. Actually, it would be more correct to say that the tint was the cause of the name. Little inspiration is involved when choose the FOTD names. As always, the final product is available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Limited sun, chilly winds, and a temperature of 37F 3C made life unpleasant for the fractal duo on Thursday. The 20 minutes they spent in the yard were far too little to satisfy their adventur- ous spirits. But a generous serving of tuna and New York white cheddar cheese made their evening acceptable. Today is starting cloudy, with light snow forecast but not yet in sight. The cats already look unhappy. I expect my day to be uneventful, that is except for the next fractal. Until 24 hours have passed, and that next fractal appears, take care, and what are dreams made of? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Peaches_and_Cream { ; time=0:01:16.78--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=+0.00033419957414436/+0.000010038281058\ 69/2.31979e+008/0.5987/13.7810528843527536/9.49271\ 279099203547 params=0/0/2/0/0.0089773333/0.6656844\ 316/0.0089773333/0.6656844316 float=y maxiter=3800 inside=255 logmap=89 periodicity=10 colors=000wlcvlculctlcslcrlcqlcpkcojcnicmiclhckhcj\ gahg_efYafWZeUVdSQcQNbOJaLG`JDZI8YG4XE1YD0XB0Y90ZG\ 0_L2aQ4eV8i_9mdDqiEvpIztJzzNzzOzzRzzTzzTwzT_zTDwT0\ pX0n_0lb0lf2kg6kk8inBiqDgsGgwJfzLfzOdzQdtLalI_dEXX\ BVO8TTBRXDR_GQbIQfJOiNOlPNpSNsWLwZLzaLxYJwWItVGsTE\ qQDpNDpMBnJ9lG8kD6iC6g94f52f21d10b00a00_00Y00X00X0\ 0T00Q00N00J20G61E91BD28G44J61N80Q90R90QB0QB0QD0QD0\ QD0QE0QE0QE0QG0QG0QG0JT0Ed28q82z41z21z11z01z01z01z\ 01z04z08z1Bx2Et4Gp6Jl8Ni9RdBSaETXGUTIVOJWLLXINYDOZ\ 9Q_4R`1Ta0Vb0Vc1Xd2Xe4Xf4Yg6Yh8_i9_jB_kBalDamEbnGb\ oGbpIdqJdrLfsNftNguOhvQiwRjxRkyNlzImzDnz8oz2pz0qz1\ rz4sz8uxBwtDtqGsnJqkNpgOndRlaViYYgVafRbdOfbLiaIl_E\ nYBqX8tV4xT1zf2ng4di6Tl8JpLbQYt0kz8dzI_wRTnaOgkI_t\ DRz8Lz9Nz9QzBTzBXzB_zDbzDfzEizElzEpzGszGwzIzzIzzIz\ zJzzJzzLzzLzzLzzDzz6zz0zz0zz0zz0zz0zz0zz0zz2zz6zz9\ zzDzzXzzazzbzzdzzfzzgzziz } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================