; Date: Tue, 10 Apr 2007 22:15:02 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 11-04-07 (Odd Fractal Out [6]) ; ; Id: <1.5.4.16.20070410221852.2ac7ca80@pop.mindspring.com> ; --------- ; ; FOTD -- April 11, 2007 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; I'll soon be posting a discussion about how I choose good ; parameters for the MandelbrotMix4 formula. I had hoped to have ; it ready today, but the truth is I am not sure exactly how I ; find my parameters. I would have assumed that the exponents in ; today's formula are too close together to do much of interest, ; but I entered them in the M-Mix4 formula anyway. ; ; Today's parameters define a formula that combines Z^(1.95) with ; Z^(2.05) and adds straight C. I chose the exponents because the ; average of 1.95 and 2.05 is 2, and since Z^2+C is the classic ; Mandelbrot formula, I wondered if a formula where the average of ; the exponents is 2 would have anything special to offer. As it ; turned out nothing unusual appeared. The parent fractal ; resembles one of the perturbed Mandelbrot sets, with a very non- ; critical look about it that makes the search for interior ; midgets almost useless. But even though there are no midgets in ; the parent fractal, there are many interesting nooks and ; crannies, with much to explore. ; ; Today's image is located very near the negative X-axis of the ; parent fractal, in a blunt valley centered on the axis and ; pointing east. I named it "Odd Fractal Out", since it has no ; midgets hidden within it and I could think of nothing better. ; The rating of a 6 might be a bit liberal, but the image really ; is rather striking, and the calculation time of 9-1/2 minutes is ; marginally within reason. Those do not calculate Fractint ; parameter files may view the image on the FOTD web site at: ; ; ; ; where it is posted for sheer enjoyment. ; ; I have updated the MandelbrotMix4 formula, and starting tomorrow ; I'll retire the old workhorse and switch to the new version for ; most of my fractals. The newer version will be able to draw the ; fractals that result when Z is initialized to a second critical ; point of the formula. ; ; Heavy clouds and continued chilly temperatures in the 40's F ; (around 8C) made Tuesday far less than ideal here at Fractal ; Central. The fractal cats must have agreed, for they were ; unusually sulky most of the day. It took extra tuna to raise ; their spirits. ; ; My day was actually quite pleasant, at least compared to the way ; things have been for the past couple months. And tomorrow looks ; to be a repeat. I already have tomorrow's FOTD fractal, and ; it's a pretty good one, so check back here in 24 hours for a ; fractal surprise. Until then, take care, and search for those ; patterns in the void. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Odd_Fractal_Out { ; time=0:09:25.19--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=-0.68373061187701090/-0.000464846373378\ 43/3556049 params=1/1.95/1/2.05/0/0 float=y maxiter=1500 inside=0 periodicity=10 colors=000WaSVaTTaURaVQ`WO`XN`YL`ZJ`_I``G`aXL_OTaF\ `b3fa5gb7gc9hdBheDifFifHigIjhKjiMkjOkkQkkSllUlmVmn\ XmoZnp`npbnqdorfosgptipukpumqvoqwqrxsrytryrqwqpvop\ unotlnsknrimqhlpflnekmcjlbjk`ij_hiYhhXggVffUfdSecR\ dbPdaOc`Mb_LbZJaYJc_IaXH`VG_TFYREXPDWMCVKBTIASG9RE\ 8QB7O96N75M52K14L35L56L77L88MA9MCAMEBMFCMHDNJENLFN\ MGNOHOQIOSJOTKOVLOXMPZNP_OPaPPcQQeRQfSQhTQjUQlVRmW\ RoXRqYRsbSw`RuZRtYRsWQrVQqTQpSQoQPnOPmNPlLOkKOjIOi\ HOhQQkYRnfSpnTswVvvUuuTuuTttStsSssRsrRrrQrqPqpPqpO\ poOpnNonNomMnmLnlLmkKmkKljJllKmjJliJkhIjgIifIheHgd\ HfcHebGdaGc`Gb_FaZF`YF_XEZWEYVDXUDWTDVSCURCTQCSPBR\ OBQNBPMAOLANKAMJ9LI9KH9KJBLLCMNENPFORHPSIQUJRWLSYM\ T_OUaPVbQWdSXfTYhVZjW_jUZkX`l_bmbdndfoghpjjqmlrons\ rpturuxtvzvtstrmsqgqoapmWnlQmjKkiEjlGenI`qJXsLSuMO\ vLMwKJxJHRV`OS_LPZKO_IMYHLWGJUFISEHQDFOCEM2AIBDLKF\ NhbJfbKebLcbMbaN`aOZaPYaQ } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint