; Date: Thu, 24 Jan 2008 17:42:41 -0500 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 25-01-08 (Goodbye Minibrot [?]) ; ; Id: <1.5.4.16.20080124173240.2bbf32ac@pop.mindspring.com> ; --------- ; ; FOTD -- January 25, 2008 (Rating ?) ; ; Fractal visionaries and enthusiasts: ; ; When I first saw today's image, all I could say was 'wow'. I ; have never seen this happen to a minibrot before. But in the ; world of fractals, the unexpected can only be expected. ; ; The image shows what happens to midgets in the 4-dimensional ; HyperMandelbrot set when the view is skewed in some unimaginable ; direction. I named it "Goodbye Minibrot" in memory of the ; minibrot that once was there but now is gone, and leaves its ; outline to carry on. ; ; Actually, I have no idea what's happening in the image, but what- ; ever it is, it is quite curious. Nor do I know how or why the ; HyperMandelbrot formula works as it does. It seems very strange ; that a value as tiny as 0.00000000000000000000007 would produce ; such a big change in an everyday scene in Seahorse Valley. But ; the details in today's image are consistent with those in the ; Seahorse Valley Julia fractals created by the type=hypercomplexj ; formula, when the value of C is very critical. To see the ; original Seahorse Valley scene, change the real(p3) parameter in ; today's image to zero, then sit back and be filled with awe and ; wonder. ; ; Since I have no idea where to rank today's image in a world that ; is virtually unexplored, I could give it no rating. The whole ; thing is a mystery, as made evident by the question-mark rating. ; ; The calculation time of 3-1/3 minutes is well within reason, ; especially considering that the periodicity checking is turned ; off, as it must always be when using this formula. The simplest ; and most convenient way to see the image is to visit the FOTD ; web site at: ; ; ; ; and view it there in solid comfort. ; ; Thursday was fair enough here at Fractal Central even though ; occasional heavy clouds and several snow showers spoiled the ; perfection. The high temperature of freezing was just about ; right for the coldest time of year. The fractal cats watched ; the big fluffy snowflakes for a half hour or so, then decided ; it was better to have a bit of fun by sitting on the work. ; ; After moving the sitting cats, I finished the day's real work ; with plenty time to look for fractals. The next FOTD, which ; will be a further exploration of the HyperMandelbrot set, will ; appear in 24 hours. Until then, take care, and reason it out. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Goodbye_Minibrot { ; time=0:03:19.54-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot passes=1 center-mag=-0.74984503749226/+0.03360828961391/\ 155571.8/1/92.5/0 params=0/0/0.2/0/7e-023/0 float=y maxiter=1200 inside=0 periodicity=0 sound=off colors=000bWFmR6cWFV`OMeXDje4nm5nl6nk7nj8nj8ni9nhA\ ngBngBnfCneDoeEpdFqcFsbGubHtaIs`Ir`JqbJpdJofJngJmi\ JlkJkmJjnJipJhrJgtJfuKevLdvMcvNbvNavO`vP_vQZvRYvRX\ vrZut`ewaRubQscPqdOoeNmfMkgLihKgiJejIckHalG`lGZmFX\ nEVoDTpCRqBPrANs9Lt8Ju7Hv6Gv6Ep5Cj5Bd49Z47T46N34H3\ 3C36D68D8BEADECFEFIFHKFJMFLPGORGQUHSWHUYHX`IZbI`dI\ bgJeiJglKinKkpKnsLpuLrwLtvKruJptIosHmrGkqFjpEhoDfn\ CemBclBakA`j9Zi8Xh7Wg6Uf5Se4Rd3Pc2Nb1La2M`3M_4MZ5M\ Y6MX7MW8NW9NXANYBNZCN`AL_CNZEOYGPXIQXJRWLSVNTUPVUQ\ WTSXSUYRWZQY_QZ`P`bObcNddNeeMgfLigKkhHnkKliNkhPifS\ heUgdXeb_daab_daZkWTf`YadaXieTmiOrmJvqFzuGyrHypHxn\ IxlJxjJwhKwfKvcLvaMv_MuYNuWNtUOtSQtQSsNUsLWrJYrH_r\ FaqDcqBes8gq9io9kn9ml9mk9ni9oh9pg9qg9rfArfApdAnbAk\ _AhXFeUKbRP_OUYMUWKUULUSLUQMUOMPMNKKNFINAGM6FM5EL5\ DL5BK4AK49J38J37J37K0HXGRiW_uk`oe`j`adVa_QaUKbPFbJ\ 9bE4aI8aLBaOEaRHaUKaXOa_R } 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