; Date: Sat, 20 Sep 2008 23:13:54 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 21-09-08 (Divided We Prevail [8.5]) ; ; Id: <1.5.4.16.20080920231511.2b47030a@pop.mindspring.com> ; --------- ; ; FOTD -- September 21, 2008 (Rating 8.5) ; ; Fractal visionaries and enthusiasts: ; ; I somehow got involved in another 'antiquing' expedition on ; Saturday, this one to a tiny town named Richfield. And I must ; reluctantly admit that I am actually starting to enjoy these ; weekly trips to examine the stuff someone else no longer wanted. ; We got back to FC by 5pm, which left barely enough time to do ; the FOTD. As for that FOTD, it turned out surprisingly good. ; ; The parent fractal is the Mandeloid that appears when the ; formula Z^(1.9)+C is iterated 22 levels up the logarithmic ; ladder when no function is applied. ; ; Today's scene is located in a wedge-like valley leading to a ; large bud, where the fractal is divided to an unusual degree. ; Due to the fortuitous coloring, the image is one of the better ; ones I have yet found in the exponent range between 1 and 2. ; ; The rating of 8.5 includes the 1/2 point for my coloring effort. ; The name "Divided We Prevail" hints at the discontinuities that ; fill the frame and actually create the patterns. ; ; The calculation time of 2-1/2 minutes is about what would be ; expected for such an image. This is about the same time that is ; required to surf over to the FOTD web site and view the finished ; image there. The web site may be accessed at: ; ; ; ; Thick cirrus clouds occasionally dimmed the sun here at Fractal ; Central on Saturday, but the temperature of 73F 23C was as ; perfect as could be hoped for. The fractal cats must have ; agreed, for while we were out, they spent the afternoon in the ; window, wishing they could go out with us. ; ; My day was spent doing my duty, which isn't all that bad. The ; next FOTD will be posted in 24 hours or so. Until then, take ; care, and don't let the fourth dimension abstractions leave you ; all abstracted. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Divided_We_Prevail { ; time=0:02:24.41-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.547729219193736/-0.6087350590135784/\ 228263.9 params=1.9/0/22/0 float=y maxiter=2400 inside=0 logmap=267 periodicity=10 colors=000C6HC7HC8HD9HDAIDBJDCKHDKLCKPBJT9IW8H_7Fc\ 5Eg4Ck3An28rILuXYrX`oXcmXejXhhXkeXmcXp`XsZXub`vffv\ jjvnrwwwwzzzwwwurstrqtrptrnsqlsqksqirqgrqfqpdqpbqp\ app_ppYppXllWihVfdUc`T`XSYTRVPQSLPPHOMDNJ9MHBLGDLF\ ELEGLDHKCJKAKK9MK8NJ7PJ6QJ5SJ4TJ6SL8SMASNCSPESQGSR\ ISSKSUMSVOSWQSYSSZUS_WS`UT_ST_QU_OUZMVZKVZIWYGWYEW\ YCXXASX8UX6cW4mW2cW0ZW4TM7NDNJTbFgiEjpDmwDpsMnpVml\ clilkfujcrk`plZnlWlmTjmRhnOfnMdoJapG_pEYqBWq8Ur6Sr\ 3Qs1Os9RpHTmPWjXYgd`dlbasdZUkK4r5QqCkpIiqKhqMgrNer\ PdrQcsSbsT`sV_tWZtYYtZKqR7oK9nLBnMDnOFmPGmQImRKlSU\ lUUlVckWckXckYmkZmlYmlYzlKzmKzmKmeYznXznXcnXdoXeoX\ foXgmZhl_ij`jickghkfmkerkcvkbzk`zl_zmZzjazgczeezcg\ zbivbgscfpcdmccjcagc`dcZacYZcXWcVTcUQcSNcRKcPHcOEc\ NBcMAcM9cM9hL8hL7mL7mK6rK6vK5zJ4zJ4zJ3zK2zP2zU1zZ1\ zc0zc0zc0zc0zc0zc0zc4zc8zcCzcGzcJzcLzcMzcOzcPzcRzc\ zzczzczzczzczzczzczzczzcz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|