; Date: Mon, 20 Dec 2010 22:12:37 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 21-12-10 (Test Pattern [6]) ; Id: <1.5.4.16.20101220221241.10bf4ccc@pop.mindspring.com> ; --------- ; ; FOTD -- December 21, 2010 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's image shows a minibrot of order 1.1. For some reason I ; continue to search for interesting minibrots down in this range, ; even though I rarely find anything worthwhile. (Today's image ; shows a rare exception.) ; ; The parent fractal of today's image came about when I calculated ; the formula Z^(1.1)+C at a level 11 turns up the logarithmic ; hyper-spiral with no function applied. This parent is shaped ; like a cut-off parabola with a few areas of chaos along its ; edges. Not surprisingly, today's image is found in one of these ; chaotic areas. ; ; I named the image "Test Pattern" because of the flat, highly ; colored, sharp-edged shapes filling it, which might be only a ; test of what might lie deeper in the parent. The rating of a ; humble 6 indicates that I do not consider it one of the better ; FOTD images. ; ; With a calculation time of a mere one-minute however, the image ; is worth the effort despite its modest achievements. ; ; Calculation may be totally avoided by viewing the finished image ; on the currently active FOTD web site at: ; ; ; ; The classic FOTD web site at: ; ; ; ; might not be up to date, but it is worth a quick check. ; ; A mix of sun and clouds, with a high temperature of 34F +2C, ; made Monday pretty close to normal here at Fractal Central. The ; fractal cats spent their time alternating between the shelf over ; the heat and the shelf by the window, which is also pretty close ; to normal. The rest of the activity at FC was totally routine. ; ; The next FOTD will be posted in 24 hours. Until then, take ; care, and maybe we're all serfs, laboring on the lands of our ; overlords, the big corporations. ; ; ; Jim Muth ; jamth@mindspring.com ; ; ; START PARAMETER FILE======================================= Test_Pattern { ; time=0:01:04.05-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-2.447903993/+2.790388926/4195/1/75/0 params=1.1/0/11/0 float=y maxiter=10000 inside=0 logmap=87 periodicity=6 colors=000C4FB4E93C83A628527415213101_OEOKCBHA9D86\ A6464232zuTmpQclOUhMKzzAln9Xc8TU6OK5KA4G83C6284142\ HZ`FVXDSUCPQzz09JK0m06CD49A366133zcyG_zaWlCSfAO`9K\ V7GO5CI38C146q5gm4ci4`e3Ya3VY3SU2PR2MN2IJ1FF1CB197\ 06303wA5r94m84i73d63_63W52R42N31I31D219104001UZ0PT\ 0KN0FH0AB055pHfjFadDXZBST9NN7JUGQUIPVKOVMMVOLWQKWS\ JWUIVVLVVOVVRUWTUWWUWZUW`TXcTXfTXiSYkSYnSYqSYsVVgX\ TW_RKaP8jGNr8`z0zu4zq7zmBziEzdHz`LzXOzTSzOczKczGcz\ Ccz8czAczCczEczFczHczJczKczMczOczPczQczQmzQmzQmzRm\ zRmzRmzRmzRmzOmz6mzMmzJmzHmzEmzCmz9mz7mz4mz2mzFmzA\ mz5mzWmzGmzkmzemz`mzWmzQmzLmzGmzAmz5zzzzzuzzqzzmzz\ izzezz`zzXzzTzzPzzLzzGzzCzz8zz4zzIzzDzz9zz4zz8zz6z\ z4zz3zz1zzrzz_zzIzz1zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0\ zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zzqzzRzzWzzOzzGzz8zz\ MzzIzzEzzBzz7zz3zzTzzPzzMzzJzzGzzCzz9zz6zz3zzJzzCz\ z6zzMzzKzzJzzHzzGzzFzzDzz } 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|