; Date: Thu, 30 Aug 2007 21:49:18 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 31-08-07 (Out on a Filament [6]) ; ; Id: <1.5.4.16.20070830214546.0d87d694@pop.mindspring.com> ; --------- ; ; FOTD -- August 31, 2007 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's image takes us to the tip of the negative spike of the ; Mandelbrot set, where we examine a tiny minibrot. In fact, it ; is the most remote minibrot on the spike reachable with conven- ; tional math. But where is the minibrot? ; ; Actually, it is very close. The problem is that we have ; perturbed the view, and therefore have just missed the minibrot. ; But we have come close enough to skim through the outer fringes ; of the pattern around it. To see the actual unperturbed mini- ; brot simply reset the real and imaginary p2 parameters to zero ; and shift the view a bit. ; ; I have added to the interest by reducing the bailout radius, ; which is real(p4), to the point where the entire scene is on the ; verge of being swallowed up entirely. I have added even more ; interest by rendering the image with the outside set to 'tdis'. ; ; I named the image "Out on a Filament", since that is its ; location. But the rating of a 6 was all I could do for an image ; that is basically just another trip to the over-viewed negative ; spike of the Mandelbrot set. ; ; The calculation time of a sizzling 39 seconds will try the ; patience of no one. And the task of calculating the scene may ; be done away with entirely by going to the FOTD web site at: ; ; ; ; and viewing the finished image there. ; ; As I write this, I wonder what this Mandelbrot-set location ; would look like in some of the odd orientations through the ; Julibrot. Well, there is one way to find out, and that is to go ; and look. If I find anything of exceptional interest, it will ; appear as a future FOTD. ; ; The weather was too warm for comfort here at Fractal Central on ; Thursday, with a high temperature of 90F 32C and quite sticky ; humidity. In the evening however a light thunder-shower cooled ; things down a bit. The fractal cats don't worry themselves with ; outside heat unless there are squirrels to go along with it. If ; there are no squirrels, a chipmunk or two will do. ; ; My day was appropriately busy and tomorrow promises to be the ; same. The next FOTD is due in 24 hours. Until then, take care, ; and give particular attention to the questions that appear to ; have no answers. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Out_on_a_Filament { ; time=0:00:39.39-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotVE-VP passes=1 center-mag=-1.99999977939708600/-0.000000000000023\ 21/2.706509e+013/1/2.47067461084123785/0 params=2/0/1.3e-007/6e-008/0/0/1.9999997799/0 float=y maxiter=3000 inside=0 outside=tdis symmetry=none periodicity=10 mathtolerance=0.05/1 colors=000wfapfZifW9x5PoH7phIlbTiYcbxcdmcebbJncVcQ\ kbViZ_gWVPFYVK``PVrUYnT`jTC4SKaXUdVeJ1dRBcZKQ5LXOP\ JJjU_bUSiXWdZ_`acXRPrmceGG2MR9S`GYaNO3LWNPzr2zhBzU\ KLEQQMRVTS__TNLRSRSWWS_aTcz7arFblMOK1SQ8WWF_aM_Uz`\ Yza`HbcNTeWWfVZfUafz_EzWcz_fzpGzkPzgYzSHzWQNUdzdSz\ oFzy3wwMlvdbuwToqXikzcfzeadgXziShgWdGprf_`dczb8zcH\ BcQHcZNH9wTQgoTzkYigb`eDxrHtnOmjUff`_W5cZI_aVzu2ho\ GbiUY3rGMlNLM`6`KoNziXKWk1Yi8_hFagMFRjSZzK1GRFLYTP\ 1j8BiELhJVgOStVVpUYmU`iTHBHTRN9fvPfgQGHVPL_YPtQcVB\ HYML`XP86095pHFjPOdXYZOt19KuHY8TbJ_v`qndlk`ghXbBGc\ MLcXPsEuoMmkTfg__4McGT_S_WUmtYjj`haIRCQXIXaOWpfYmb\ _k_ahWwBNpMPiXR`6JaGMbPOcYRL9JSLNYWQhoSflTejTdhTHs\ HNoKTlNZiQVzZYsX`lVhGgeU_2ljFjdShZptolpiimcfiYR0FY\ MMwowplliibqpVllUgiTt3NoDPkNQgXSMUp5XuD4tMHjVUaCw1\ MqBVkKtlWkiUUxcXs`ZoYajVjmJgjNehQhHVeUU9j0Hi8PhFXg\ Mi2EWz7cGzd8ZcQWZNi`Ucb`Y } frm:MandelbrotVE-VP {; Jim Muth real(c),imag(c) a=p1, z=p2, c=pixel+p3, b=sqr(real(p4)): z=z^(a)+c, |z| < b } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint