; Date: Sat, 11 Aug 2007 22:43:46 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 12-08-07 (Straight Forward [9]) ; ; Id: <1.5.4.16.20070811224929.2a5fb0f2@pop.mindspring.com> ; --------- ; ; FOTD -- August 12, 2007 (Rating 9) ; ; Fractal visionaries and enthusiasts: ; ; It's nice to escape the endless spirals that fill so many ; fractals. In today's image we escape them with a vengeance. ; There are no spirals in today's image. In fact there are no ; curved elements at all. Some of the elements do have jagged ; edges, but the overall shapes radiate from the central midget ; straight as an arrow. In recognition of all this straightness, ; I named today's image "Straight Forward". ; ; While I was coloring the image, I had an attack of serendipity. ; The colors flashed onto the screen ready-to-go, complete with ; the bright white band. I needed to tweak only about 10 color ; registers to create today's outstandingly moody color palette. ; ; The colors are what raises the rating to a superior 9. And it ; is an honest 9, not a typing error like the 9 I typed by mistake ; three days ago, when the image actually rated only a 6. ; ; In today's formula I subtracted 20 parts of Z^(1.01) from 20 ; parts of Z^(0.99) and added C. The 20 parts are necessary ; because the actual difference between the two exponents is so ; small that nothing but a blank screen is produced unless the ; difference is magnified. And even with the difference magnified ; 20 times, the parent fractal is grossly oversized, making the ; excessive escape radius of 1000 still necessary. ; ; The parent fractal is another Mandeloid rotated 180 degrees, ; similar to the parent fractals of the past several fractal ; images. Today's scene is located at the extreme western edge of ; the chaos, very close to the X-axis. The mathtolerance entry is ; necessary to assure that the image generates from the parameter ; file at the correct magnitude. ; ; I was sorely tempted to position the midget away from the center ; of the frame, somewhere near one of the upper 1/3-1/3 points, ; which would have added additional tension to the scene. If the ; purpose of the image were artistic, I would have done so, but ; the FOTD images are for mathematical interest rather than an ex- ; hibition of art, so I kept the midget centered and in the normal ; orientation. There is no rule stating that midgets must always ; be centered however. I might start adding tension to future ; images by eliminating the all-too-common symmetry around the ; center of the frame. ; ; At just over 1 minute, the calculation time of today's image is ; quite short. And considering the rating of a 9, it is quite a ; bargain. It's also a bargain to see the image already rendered ; on the FOTD web site at: ; ; ; ; The weather was perfect here at Fractal Central on Saturday, ; a day that would make any outdoor activity a pleasure. The ; fractal cats' day was near perfect; the FOTD fractal is near ; perfect, and the commercial work is totally under control. I ; don't want to tempt fate by saying that everything was totally ; perfect all day, but it came close. ; ; The next FOTD will appear on schedule in 24 hours. Until then, ; take care, and keep alert. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Straight_Forward { ; time=0:01:15.55-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-10.61536422079259/+0.00000051589073515\ /6.265924e+011/1/-45.877/-0.0058784538 params=20/\ 0.99/-20/1.01/0/1000/0/0 float=y maxiter=15000 inside=0 periodicity=10 mathtolerance=0.05/1 colors=000zsCvqFrpIooLknOhmRdlUajXYi_VhbRgeOfhKekH\ dnTwrWvqYup_uoatndsmfslhrkjrjilhhffgadfWbeR`dLZcGX\ bAVb5TLPR9uEDsGGqHJoJMmKQkMTiNWgPZeQbcSeaTh_VkZWm`\ Ynb_odapecqgerigtjiulkvnmwooxqqysszttruujuucvvWvvP\ wwHwwAwwCouEhtFasHUrJNqKGpJEqHDrGCscMmzVgsRb201mOZ\ gLU`IQVFMPCHI9DC68634HaNG_LFYKEWJDVIDTHCRGBPFAOEAM\ D9KC8JB7HA6F96D85C74A6385364253132011N7bL6_K6YJ5WI\ 5UG5SF4QE4OD4MC3KA3I92G82E72C61A4183162041029Gb8F`\ 8EZ7DX7CV6CT6BR5AP59N48L48J47H36F35D24B24913712501\ 3001RMgLHZGDQA8H548WZqPSfJLWCEL67AswzLPjMNiNLhOJgP\ HfQFeQDdNEbKEaHE_EEZBFX8FW5FU3FT7IVALXEOYHR_KUaOXb\ R_dUbfYeg`hicjj`ggYddWbaT_ZQXWOVTLSQIPNGNKDKHAHE8F\ B5C82950734D58J6BP7FV9I_AMeBPkDTqEWvFzw0zw0zw0zw0z\ w0zx0zx0VxcVxcVxcVxcVycVydVyfVyzVyzVzzVzzVzzVzzVzz\ VzzUzzUzzUzzUzzUmkTkiTigTfdTdbTa`T_ZSYXSVVSTTSQQSO\ ORMMRJKRHIREGRCERACPBEOCF } 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========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint