; Date: Tue, 16 Nov 2010 22:18:11 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 17-11-10 (What Happened Here [!!!]) ; Id: <1.5.4.16.20101116221810.12872aee@pop.mindspring.com> ; --------- ; ; FOTD -- November 17, 2010 (Rating !!!) ; ; NEW FORMULA ALERT! ; ; UNUSUAL PICTURE SHAPE ALERT! ; ; Fractal visionaries and enthusiasts: ; ; Today's image will begin calculating toward the center of the ; screen. This is no error. Instead of a 4-3 width-height ratio, ; today's image has a much wider 2-1 ratio. ; ; Today's image rates a triple bang. This means it is of excep- ; tional mathematical interest, though of only moderate artistic ; value. The formula is a new one, so be sure to enter it into ; one of your formula files. ; ; The new formula takes the basic Mandelbrot expression and simply ; adds a variable function to both initial Z and C. The effect of ; the 'exp' (exponential) function that I applied to initial C in ; today's image is to virtually place the observer inside the ; plane of the image at the point assigned initial C, with the ; nearby elements appearing larger and the more remote elements, ; much smaller. ; ; In today's image I stationed the observer at -1.40115518995 on ; the X-axis, near the limit of the main body of the Mandelbrot ; set. The things this does to the set are dramatic, thus the ; rating of !!!. The question asked in the name "What Happened ; Here" will be answered when the image is viewed. ; ; In the actual M-set, the successive buds grow ever smaller as we ; travel out the negative X-axis. But by stationing the observer ; at the limit of the string of buds, as I have done in the image, ; I have negated this size decrease and made all the buds nearly ; the same size. The resulting image resembles nothing as much as ; a centipede with 15+ segments. ; ; Unfortunately, the image is a very slow one, growing ever slower ; as it progresses and taking nearly an hour to finish. I have ; sent the finished image on ahead to Paul at the FOTD web site. ; Hopefully, he will have it posted soon. ; ; The FOTD web site may be accessed at: ; ; ; ; To set things straight about how I feel about global warming, ; IMO, the earth is getting warmer because we're still coming out ; of the most recent ice age. And only a small percentage (one- ; percent or so) of this warming is due to man's activity. ; ; Little or nothing can now be done to slow the natural warming, ; so instead of futilely spending vast amounts to stop the warm- ; ing, we should be spending the money preparing for the minor ; but inevitable sea-level rise of an inch or two in the coming ; century, and at the same time developing renewable non-polluting ; energy sources. ; ; IMO, the most amusing part of the hyped-up global-warming ; 'crisis' is watching the hated big corporations using it as a ; sales pitch, and the easily manipulated masses buying 'green' ; products, thinking they are helping to save the earth when they ; are actually only enriching the hated big corporations ; ; Heavy clouds, steady rain and a temperature of 52F 11C kept man ; and cats alike indoors here at Fractal Central on Tuesday. ; There was enough work to keep the man's mind off the outside con- ; ditions, but the fractal cats seemed fascinated by the dripping ; rain and spent several hours on their window shelf, trying to ; make sense of all the water. ; ; The next FOTD will be posted in 24 hours. Until then, take ; care, and I see it's the cockroaches behind the conspiracy to ; end the world. That's a relief. I thought it was the aliens ; from the Herculean cluster. (Actually, the roaches might do the ; best job of running things.) ; ; ; Jim Muth ; jamth@mindspring.com ; ; ; START PARAMETER FILE======================================= What_Happened_Here { ; time=0:45:36.12-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotFunct function=ident/exp center-mag=-10.0738/0/0.1943703/0.6014 params=0/0/\ -1.40115518995/0 float=y maxiter=275000 inside=0 logmap=yes symmetry=xaxis periodicity=0 passes=1 viewwindows=1/0.5/yes/0/0 mathtolerance=0.05/1 colors=000rmIqmIpmIomJomJnmJnmJmmKmmKlmKlmLkmLkmLk\ mMkmMjmMjlMjlNjkNikNikOijOijOkkPijOhjOgjOfjOeiOdiO\ ciObiOahO`hO_hOYhNXhNWgNVgNUgNTgNSfNRfNQfNPfNOfNNe\ ONeONeONdPNdPNdPNcQNcQNcQMbQMbRMbRMaRMaSMaSM`SM`SM\ `TM`TL_TL_UL_ULZULZULZVLYVLYVLYWKXWKXWKXWKWXKWXKWX\ KVYKVYKVYIW_KVYMVXNVWPVVRUUSUTUUSWURXTQZTP`TNaTMcS\ LeSKfSJhSIjRHjRGjRFjREjQCjRDkRDkRDkRDkRDkRElRElSEl\ SEmSEmSEmSFmSFnSFmTFmTFmTFnTGnTGnTGnTGnUGoUGoUHoUH\ pUHqUHrUHtTFuUGtUHtUIrUIqUJqUKoUKoULnVMlVNlVNkVOkV\ PjVPiVQiVRgVRgWSfWTeWUeWUdWVcWWbWWaWXaXY`XZ_XZ_X_Z\ X`ZX`YXaXXbXXbWYcWYdVYeUYeUYfTYgTYgSYhRZiRZjQZjQZk\ PZlOZlOZmNZnLXqMYoNZnO_lP_kP`jQahRagSbeTcdTccUdaVe\ `WeZXfYXgXYgVZhU_iS`jR`jQakOblNclLdmKdnJenHfoGgpEh\ pDhqCirAjr9ks7lt6lu5kv6jw6iv6iz6hz6jz6lz6nz6qz6tz7\ wz7zz7zz7zz7zz7zz7zz7zz7zz8zzAzzKzzUzzczzmzztzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotFunct {; Jim Muth real(c),imag(c) z=fn1(p1), c=fn2(pixel)+p2: z=sqr(z)+c, |z| < 16 } ; END PARAMETER FILE========================================= ; ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;