; Date: Tue, 09 Nov 2004 10:23:09 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 09-11-04 (Mandy Times Mandy [5]) ; Id: <1.5.4.16.20041109102430.2a8fa4c2@pop.mindspring.com> ; --------- ; ; FOTD -- November 09, 2004 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; Today's fractal formula, the 'mandel4', is nearly as simple as ; the classic Mandelbrot formula. In fact, it *is* the Mandelbrot ; formula, with Z raised to the power of 4 rather than 2. Since ; 2 times 2 equal 4, I named the image "Mandy Times Mandy". ; ; Unlike the classic Mandelbrot set, which has one large lobe, the ; Z^4+C mandeloid has three main lobes, and is shaped very like an ; equilateral triangle. In keeping with the parent fractal, the ; midgets are shaped like triangles and the buds and sub-buds have ; three lobes. The inner details are very much like the details ; of the M-set, with slightly fancier seahorse tails in the ; valleys leading to the main buds and extra elephants in the ; valleys jutting into the main bay. Perhaps the main difference ; is that in the Z^4 set the elements around the midgets branch ; repeatedly into 4 smaller elements rather than into 2 as they ; approach the edge of the midget. ; ; But the Z^4 set has one thing that the classic M-set does not ; -- valleys that separate the lobes in the buds, and it is in ; these areas that most of the interest lies in the fractal. With ; a magnitude of almost 2x10^12, today's image lies near a larger ; midget very deep in one of these new valleys. The extreme ; magnitude requires the 'mathtolerance' entry in the parameter ; file to assure that the image renders at the correct magnitude. ; ; I rated the image at a 5. There is really little in it worth a ; higher rating. But with a render time of only 7 minutes, the ; image is worth a look. The rating and render time combine to ; give an overall worth of 54. ; ; Those who feel that an image rating a 5 is not worth waiting ; over 9 minutes to see may see it quicker by downloading it from ; the FOTD web site at: ; ; ; ; Chilly winds, too little sun, and a temperature of only 48F 9C ; made life difficult for the fractal duo here at Fractal Central ; on Monday. They in turn made life difficult for me -- difficult ; that is until I filled their food bowls with tuna and salmon. ; Then they became the happy cats we have known and loved for 14 ; years. Today is starting sunny, but the temperature is hovering ; around freezing. More tuna may be needed before the day ends. ; ; I will need no tuna to make me happy. Only a small bit of work ; lies before me waiting to be done. By 2pm I will have finished ; and the sailing will be smooth to Fractal Land. The fractal I ; find there will appear as tomorrow's FOTD. Until then, take ; care, and don't be a gloomster. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Mandy_Times_Mandy { ; time=0:09:18.21--SF5 on a P200 reset=2003 type=mandel4 passes=1 center-mag=+0.03915334545225174/+0.796786825682308\ 70/1.84718e+012/1/-22.5/-0.000748740511517090312 params=0/0 float=y maxiter=16000 bailout=9 inside=0 periodicity=10 mathtolerance=/1 colors=000niipilogjnehmcglael_dkYbjWaiU_iTZhUXhUWh\ UUhVThVRhVQhWPhWNhWMhXKhXJhXIhVLhTOhRRhPUhNXhMZfKW\ dIUbGRaFP_DMYBKXAHV8FT6CS5AT88UB7VE6WH5XK4YN3ZQ2ZT\ 1WV6TXARZFO`JMbOJdSHeXEg`Cie9ki7mn4mm2mm3mm4mm5lj6\ kf7jb8i_9gWAfSBeOCdKDgGEjDAmW7qcCukHtiLrgQqeVpcZna\ cm_hlYljWqiUuhSpfVldXgb_c`a_ZcVXfRVhMTkIRmEPoBHa8A\ PC9QG8QJ8QN7QR7QU6QY6R`5Rd5Rh4Rk4Ro3Rr3RmBOiJLdRI`\ ZFXeCQiLKlUDpa7sj1vrGsyInoJjeKeWMaMNXCOT3MU4LU4KU5\ JU5IU5GV6FV6EV7DV7CV7AU89S88Q97O96M99KAC6AH7BM7CQ8\ DV8EZ9Fc9FgAGlAHpBIuBJyBJxEMwGOvJQuLStOUsQXrTZrV`q\ Ybp_dobgndimgklimkloknqimogmnelmcllalk_kjYiiWggUef\ SceQadO_cMYaOWYQUUSSQUQMWOIYME_KA_MAaPBbRCdTCeVDfY\ Eh_EiaFjcFlfGmhHojHplIqoJsqJtsKuuKvtJvtJvsJvsJwrJx\ rJyqJzqJzqJzpJzpJzoJyoJxnJwmJvkJthKqbLnXMkRNgLOcGO\ `IMYKKVLJUNHTPGSQESSDRTBQVAPX8NY7L_5K`4Na8PbBSbEUc\ HWdLZdO`eRbfUefXgg`ihclhf } ; END PARAMETER FILE========================================= ; ;