; Date: Wed, 15 Apr 2009 23:35:15 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 16-04-09 (Split Fractality [8.5]) ; ; Id: <1.5.4.16.20090415233549.2a674b68@pop.mindspring.com> ; --------- ; ; FOTD -- April 16, 2009 (Rating 8.5) ; ; Fractal visionaries and enthusiasts: ; ; Today's image came about when I added 0.5 part of Z^(-12.6) to 5 ; parts of Z^(-1.26) and added (1/C) to create a fractal consist- ; ing of a disembodied filament with a ring at its end, surrounded ; by a cloud of other smaller rings. Today's scene is located in ; an even smaller ring in one of these smaller rings. ; ; The scene is semi-evaporated, with the circumference of the evap- ; orated area bisecting the image from upper left to lower right ; and cutting exactly through the center minibrot. The extremely ; critical imag(p3) parameter defines the escape radius and there- ; fore the position of the evaporation circumference. ; ; The upper right half of the image, which is partially evapora- ; ted, consists of a mixture of outside and inside stuff, with the ; inside stuff made visible by the 'zmag' fill, while the lower ; left half is all outside stuff rendered in the usual 'equal-iter- ; ation-band' manner. The difference is quite apparent. ; ; I named the image "Split Fractality", which sounds a bit like ; 'split personality'. Then I rated it at an 8.5, which includes ; 1/4 point for the mathematical interest and 1/4 point for the ; coloring. ; ; The calculation time of 2-1/2 minutes is about average. The ; image may be seen faster by going to the FOTD web site at: ; ; ; ; and meditating on the finished product. ; ; Wednesday began with heavy rain here at Fractal Central, but by ; noon the rain ended and by 3pm the sun appeared, giving the ; fractal cats just enough time in the sun on their shelf to keep ; them happy. The temperature of 45F 7C did not worry them. ; ; My day was average. The taxes were out of the way weeks ago, so ; we had no last minute tax surprises. The next FOTD will be ; posted in 24 hours. Until then, take care, and how can you be ; sure that no invisible fractal is lurking in that corner over ; there? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Split_Fractality { ; time=0:02:32.32-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+7.379862680725198/+0.3887433179391824/\ 6.696877e+007/1/-115/0 params=5/-1.26/0.5/-12.6/0/\ 1.9405265505e+021/0/0 float=y maxiter=750 inside=zmag periodicity=10 colors=000egbMaM2W56MKACYBjVAmz8`h7Wo6RvHWjS`ZaeO`\ `M_XK_SIZOGZJEYFCYAAX68X27Z69_ABaECbIEjMFjQHtUJhXK\ i`MjdNlhPmlRosStwUzzVozZnvbmueluijtlitphssgswfsz`l\ wWetR_qMTnHNlFQkESjCViBXh9Zg8ag6cf5ee3hd2jc1lc8jaE\ i`KhZQgYWfWaeVgdTmcSsbQyaPx`Ow`Ow_Ov_OvZOuZOuYOtYO\ sXOsXOrWOrWOqVOqVOuNOsRQrUSqXUp`WncXmfZlj`kmbjpcfl\ XbiQZeJVbCTeDRgEPjFNlGLnHToS`obhpmppwlquhrtdrs`srY\ tpUtoQunMvmIvlFwjBxi7xh3yg0yf5tc9p`DlYIhVMdSQ`PVXM\ ZTJbPGfLEWUGLbIAkK0tMAsQKrUUqXcp`mpcio`fnZcmX`lVYk\ TVjQSiOPhMMgKJfIGeGFbJF`LEZNEXPEURDSTDQVDOXCLZCJ`B\ HbBFdBCfAAhA8jA6lneejbdg`ddZd`WdYUcVScRPcONcLLcSJg\ YHkdFokDsqBvnGulLtiQsgVrd_qbdqeZmhUjkPgnKcqF`sAYn8\ Vi7Td5Q_4OV2LQ1JM0H4RhDMgMHfUDePFZLHTGJNCKHFbSItbO\ veUwg_yidzkXrbPjUHbL9VD9XF0u70x70zT0zo0zz0xz0vz0mz\ 1iz3cz3_z4Tz6vz6Jy7Fx7Ax6Fr4Jm4vi3Sd3X`1`X0000iO0l\ P7gLDcQuJFrOJoSNmWRj_VgcZ } frm:MandAutoCritInZ {; 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)+(p4)), 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