; Date: Fri, 25 May 2007 22:25:09 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 26-05-07 (Eruptive Iterations [?]) ; ; Id: <1.5.4.16.20070525222943.2b9f8d8a@pop.mindspring.com> ; --------- ; ; FOTD -- May 26, 2007 (Rating ?) ; ; Fractal visionaries and enthusiasts: ; ; Try as I may, I could not decide how to rate today's image, ; which is a scene in the Hyper-Mandelbrot set. I also am ; confused as to exactly what this formula does. Sometimes I ; suspect that it draws two overlapping Mandelbrot sets, but then ; it comes up with something that does not exist in the familiar ; Mandelbrot set. ; ; For example, consider the parent fractal of today's image. It ; is obviously closely related to the Mandelbrot set, but it could ; never be a result of two overlapping M-sets. To start, it has ; two East Valleys. This could be a result of two identical but ; slightly separated M-sets, but it has two quadratic midgets ; where the large period-3 north and south buds should be, and its ; Seahorse Valley is something entirely new. ; ; I named today's image "Eruptive Iterations", since it could be ; taken as an erupting volcano without too much difficulty. But ; the most notable feature of the image is its fantastic array of ; spider-like filaments. It does indeed remind me of the images ; produced by the type=spider formula. ; ; The calculation time of 14 minutes on a P2000 machine is a bit ; slow. But relief for slowness may easily be obtained on the ; FOTD web site at: ; ; ; ; where the finished image is posted, ready for viewing. ; ; The weather here at Fractal Central got a bit too perfect on ; Friday, when the humidity moved in and the temperature reached ; 88F 31C. But heat doesn't worry cats too much, so the fractal ; cats had a pleasant day despite the heat. And a cooling ; thunder-shower arrived as night fell. ; ; My day was rather busy, and tomorrow will likely be the same. ; I'll try to post the FOTD on schedule, but there is no ; guarantee. Until next time, take care, and the more we discover ; in these fractals, the less we know. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= EruptiveIterations { ; time=0:14:08.82-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot passes=1 center-mag=+0.28954559806994660/0/2010.667/1/90/\ 3.885780586188e-016 params=0/0/0.3/0/0.01/0 float=y maxiter=5000 inside=255 logmap=90 periodicity=0 colors=000ejJdkIdkIckIckIckIbkIbkIalHalH`lH`lH`lH_\ lH_lHZmGZmGZmGYmGYmGXmGXmGWnFWnFWnFVnFVnFUnFUnFToE\ ToEToESoESoERoERoERoESnDSnDTnDTnDUmDUmDVmDVmDWmDWl\ DXlDXlDXlDYlDYkCZkCZkC_kC_kC`jC`jCajCajCajCbiCbiCc\ iCciCdiCdhBehBehBfhBfhBggBggBggBhgBhgBifBifBjfBjfB\ kfBkeAleAleAleAmeAmdAndAndAodAodApcApcAqcAqcArdBqc\ AqcAqbAqbAqaAqaAq`Aq`Aq_Aq_AqZAqZAqYAqYAqXAqXAqX9q\ W9qW9qV9qV9qU9qU9qT9qT9qS9qS9qR9qR9qQ9qQ9qP9qP8qP8\ qO8qO8qN8qN8qM8qM8qL8qL8qK8qK8qJ8qJ8qI8qI8qI7qH7qH\ 7qG7qG7qF7qF7qE7qE7qD7qD7qC7qC7qB7qB7qA7qA6qA6q96q\ 96q86q86q76q76q66q66q56q56q46q46q36q36q36o47n48m59\ l5Aj6Ai6Bh7Cg7De8Ed8Ec9Fb9GaAH_AIZBIYBJXCKVCLUDMTD\ MSENREOPFPOFQNGQMGRKHSJHTIIUHIUFJVEJWDKXCKYBLY9LZ8\ M_7M`6Na4Na3Ob2Oc1Pd0Pd1Qe2Re3Re4Se4Tf5Tf6Uf7Vf7Vg\ 8Wg9XgAXgAYgBZhCZhD_hD`hE`iFaiGbiGbiHciIdjJdjJejKe\ jLfkMgkMgkNhkOikPilPjlhhr } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint