; Date: Fri, 27 Jun 2008 21:25:17 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 28-06-08 (No Fault Lines [7]) ; ; Id: <1.5.4.16.20080627212526.2bdfc7f0@pop.mindspring.com> ; --------- ; ; FOTD -- June 28, 2008 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today's formula, DivideBrot4, is another new one -- the final ; version of the DivideBrot series. The only change from ; DivideBrot3 of the series is in the real(p1) parameter, where ; the number 2 is subtracted from the entered value before ; iteration begins. This change permits the order of the ; minibrots to be directly defined by the value entered as ; real(p1). ; ; The real(p2) parameter defines the escape radius. The imag(p2) ; parameter is not used. The imag(p1) parameter controls the ; prominence of the higher-order elements in the resulting ; fractal. A smaller value of imag(p1) results in a greater ; prominence of the higher-order elements. A larger value gives ; more prominence to the underlying order-2 Mandelbrot set, while ; at the same time enlarging the size of the fractal, which makes ; the real(p2) parameter necessary to expand the bailout radius so ; that the entire fractal fits within it. ; ; Today's image is named "No Fault Lines". I gave it this name ; because the central minibrot is of the order 3.5 and such ; fractional-order minibrots are always surrounded by discontinui- ; ties, which spoil the surrounding patterns of the minibrots. ; Today's minibrot however is a horse of a different color. Its ; surrounding pattern consists of seven elements, and these ; elements are intact. Seven, of course, equals two times 3.5, ; the order of the minibrot. The name refers to the lack of ; discontinuities. ; ; The image is located on the west side of the northern branch of ; the Seahorse Valley of the oversized Mandelbrot set that is its ; parent fractal. The Seahorse Valley characteristics are very ; prominent throughout the image. The order-3.5 characteristics ; are obvious only in the shape of the minibrot. ; ; I rated the image at a 7. It consists of too much mathematics ; and not enough artistic value for a higher value. Rendering the ; scene with the outside set to 'tdis' helped a little, but not ; enough to grant the image a rating of 8. ; ; With its calculation time of 1-3/4 minutes, the job of running ; the included parameter file should offend no one. But in this ; modern day and age, some computers have forgotten the old ways ; and don't know what to do with DOS programs such as Fractint. ; Those with such new-fangled instruments may still see the image ; however by going to the FOTD web site at: ; ; ; ; and viewing it there. ; ; Warm temperatures, high humidity and showers prevailed here at ; Fractal Central on Friday. The fractal cats dislike a tempera- ; ture of 86F 30C, so they were not too happy with the conditions. ; But cats are cats, and before long the feline duo had found a ; cooler place in which to sleep. ; ; My day was kept busy by a customer of the worst kind -- one who ; needs his job at once, but doesn't know what he wants, and as a ; result, keeps calling in changes. In the end, common sense won ; out. I refused to answer the phone after the fifth call. The ; last I heard, he was satisfied. The next FOTD fractal will be ; posted in 24 hours. Until then, take care, and look up. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= No_Fault_Lines { ; time=0:01:44.21-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideBrot4 passes=1 center-mag=-7.662916327120194/+1.181354355289796/\ 3.256997e+007/1/-98.25/0 params=3.5/10/1000/0 float=y maxiter=5000 inside=0 outside=tdis logmap=110 periodicity=10 colors=000JP3UgDP0DK99FH65zX7mN9`DhsH_kDRcAIW6NwsH\ rbFjUDcLBWCW8Nor4ah3OZ331vtV3My`IlPE`EnHocJbULRKNF\ xjg`ZpUWcNUSGRFIeXEXIGwHKVhGTVDRH3Wj5U_7SP9QEToyOh\ jJaWEVHrStcRbPQLY91SD2MH2GL3lXV_ULNRCbluTrxOtXJu6J\ iGJYPJMYXHfiCov7wsAhpCVmFGkH2_aJPv_`dblNd2126THAsV\ BXcCAlT4LYWNbwPPfECR4rEPWKE47X6CP7GI9LAOQJHPBveti`\ fYXUMTG4iC6c97Z79U52LPKFtFKU`wQUnKNeEGX8SYENVBJT8E\ R58H99K7AN5AyTrUAfS8WR6LQ4ROvMPhIPVEPHnH3UL3GbhEYV\ CTHDf6BY4eWPYUJQSEIQ8DMICNEBOAAP6oa7aX5OT4QaEIV8JT\ `GRPDQEh3LXBFLI9MaJGVBBp4Ai3Ab3AW3S4p9TLASGARCAQ7t\ YLhVGXTCLR7NLxINdEOMWE6HsRFkLDcFBW9WHEOKAHN6SJVJMH\ XpTLbG7sCcfBWa9PY7HT5p5naCZOJJdbQPWEK6yHBjFGWCLHQM\ 4IO3H42FA3DF3BK3O3HJBCEI7Z4JMhz8csDYmCVfBRG6EX8KIt\ LDhI9PL6XCTPHKHLBBMvANhAOVAPHKeFBadAXSATFERCCQ7AI5\ Ac4Ac4Ac34cR6mJ8mBOmr4m36m3zz3zzuzzgzzUzzGzzRzzFzz\ jzzWzzHzzezzWzzMzzCzz2zz3 } frm:DivideBrot4 { ; Jim Muth z=0, c=pixel, a=real(p1)-2, b=imag(p1), d=real(p2)+100: z=sqr(z)/(z^(-a)+b)+c |z| < d } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint