; Date: Mon, 23 Jun 2008 22:57:33 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 24-06-08 (Strangeness [Rating--Not Yet]) ; ; Id: <1.5.4.16.20080623225737.2bffabda@pop.mindspring.com> ; --------- ; ; FOTD -- June 24, 2008 (Rating Not Yet) ; ; Fractal visionaries and enthusiasts: ; ; At first glance, today's image appears hopelessly dull. It's ; another rendering of the Mandelbrot set, no big deal. But this ; Mandelbrot set is strange indeed, for it is the Mandelbrot set ; only on the surface. The deeper one delves into it, the more ; its elements change from the quadratic kind to the cubic kind. ; For a striking example of this strangeness, check one of the ; very small minibrots on the main stem, the smaller the better. ; You will find not a Z^2+C minibrot but a Z^3+C minibrot. ; ; The same is true throughout the entire parent fractal. And the ; most incredible thing about the formula is that by changing the ; imag(p2) parameter, the quadratic M-set can be made to have in ; its depths characteristics of any order whatever. ; ; The formula that does all this is pure serendipity. When I ; wrote it, I had nothing particular in mind. I simply wanted to ; see what the expression would do. And was I surprised! ; ; Today's image is not the last we will see of this formula. I ; have already found two outstanding cubic midgets, which will ; appear as the FOTD's for June 25 and 26. ; ; The name "Strangeness" is self-explanatory. The calculation ; time of 23 seconds makes running the included parameter file a ; breeze. And those who do not enjoy windy conditions may escape ; the breeze by viewing the finished image on the FOTD web site at: ; ; ; ; Fine weather prevailed here at Fractal central on Monday until ; nightfall, when a heavy thunder-shower moved in, leading to a ; pleasantly cool night. The temperature of 84F 29C and the ; plentiful sunshine during the day suited the fractal cats just ; fine. ; ; My day was made more interesting by the discovery of today's ; image, which promises an abundance of goodies. The next in the ; endless line of FOTD images bearing goodies will appear in 24 ; hours. Until then, take care, and the best is yet to come from ; this formula. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Strangeness { ; time=0:00:23.22-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideBrot2 passes=1 center-mag=-2.879\ /0/0.17468 params=2/-1/5/1000 float=y maxiter=1000 inside=0 logmap=yes symmetry=xaxis periodicity=10 colors=000KB1JF8JJEIMKIQQHUXHXbG`hGcnSZpcVqoRrzNsp\ PrgQrZRrQTrHUr8VrEYpK`nPclVfj`ihekgXmhPnhHph9qh1rh\ 5sd9s`CsYGtUJtRNtNQtKMuOIvSEvWBwZ7wb3xf0xi2yg3ye5y\ c6ya8y_9yYAyXBuYCrYDoZElZEiZRjbbkenlizllfkfOkaSdZV\ ZWZTTaNQYQTUTVQWXNZZJaaFdcBge8igIdfS_f`WfjRfsNfrPg\ qQgqSgpTgpUgnXbl_ZjbUieQghMekHcnDbp9YoETnIOmNJlREk\ VFlQGmLHmGInBJo6Jo2KhKLaaMWrJVqGVpDVoAVn7VnFalMgjU\ mh`sfethjujnvkswmwxntveruYptQmrIkqAip2hn3gz3fz4fz4\ ez4dz5cz5cz5WzIPzVIzgHzcHz`HzYHzVHzRHzOHzLHzIMzKRz\ MWzO`zQezSjzUozWszYozakzegzhhz`hzTizMizEiz7ozFuzMz\ zTrzUkzUczUXzVPzVIzVGzdEzm1zzAzhJzRJzF`zErzDjzEczE\ WzFPzFPzLPzRPzXPzbPzgSzfVzeYzd`zcbzbXzkRztRzrSzoSz\ lTzjTzgUzeVzbVz_WzYWzVXzSXzQYzNYzLczNlzLhzPJzoKzqM\ zrNztPzuNzzQzvTzrWznZzkazgdzcgz`dzWazRZzMWzHTzCRz8\ QzEQzJPzPPzUOz_OzdQzbSz`Uz_WzYYzW_zVazTbzS`zYZzbXz\ gVzmTzrRzwPzuNztLzsKzrIzq } frm:DivideBrot2 { ; Jim Muth z=0, c=pixel, aa=real(p1), bb=imag(p1), dd=real(p2), ff=imag(p2)+64: z=z^aa/(z^bb+dd)+c |z| <= ff } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint