; Date: Mon, 26 May 2008 21:28:54 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 27-05-08 (Depths Without End [7.5]) ; ; Id: <1.5.4.16.20080526213205.2bb7e042@pop.mindspring.com> ; --------- ; ; FOTD -- May 27, 2008 (Rating 7.5) ; ; Fractal visionaries and enthusiasts: ; ; Today's image returns to yesterday's scene in the Seahorse ; Valley complex of the Z^2+C Julibrot. I zoomed in on the lower ; right part of yesterday's image and turned the view upside down ; to produce an image that gives the impression of massive striped ; arms floating above an infinite depth. No wonder I named the ; image "Depths Without End". I created the banded effect by hand ; rather than using the banding feature included in the program. ; ; Though the view is double-rotated only two degrees or so (my ; estimate) from the Julia orientation, the ghostly remains of ; Mandelbrot buds are clearly visible along the top of the image. ; The fact that the circular bud outlines are undistorted shows ; that both parts of the double rotation are equal. (Mandel-bud ; remains are impossible in the exact Julia orientation because ; their outlines have enlarged to infinity.) ; ; I rated the image at a 7.5. Despite its several flaws, it still ; has something to offer. ; ; Just to the right of the center of today's image lies a cluster ; of tiny bright dots. These dots are actually holes in the ; surface stuff. Beneath the surface at this location lies a ; minibrot with its main bud facing left. When blown up, these ; holes prove to be julia sets of whatever part of the underlying ; minibrot they happen to be on top of. The minibrot itself is ; located somewhere in Seahorse Valley, though I have not the ; slightest idea of its actual Mandelbrot coordinates. ; ; The calculation time of the included parameter file is only ; 3/100 of a second in excess of 5 minutes, a bit slow but nothing ; that cannot be quickly accomplished. The finished GIF image is ; or soon will be posted on the FOTD web site at: ; ; ; ; Monday was a repeat of Sunday here at Fractal Central, though ; with a few more clouds and a bit higher humidity. With all the ; sun, the temperature reached 84F 29C. Now, at post time, the ; wind is stirring and lightning is flashing in the distant west. ; Rain is threatening, but the day is finished, so let it rain. ; The fractal cats have their eyes on the sky however. ; ; The next FOTD will be posted in 24 hours. Until then, take ; care, and if you can't find the fourth dimension, try to be ; satisfied with the third. It's only a consolation prize, but ; it's still better than nothing. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Depths_Without_End { ; time=0:05:00.03-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=EvenMoreSlices passes=t center-mag=0.953034/-0.257883/17.1836/1/-167.8/0 params=2/0/0/0.15/-0.78/0/0/0 float=y maxiter=15000 inside=255 logmap=22 periodicity=10 colors=000088re8097re70A6rg60B6rh50C5rj40D4ql30E4p\ k50F5oj60G6ni70H7mh80I9lg90JAkfA1KBjeB2LCidD2MDhcE\ 3MEgbF4MFeaG5MHd`H5MIb_I6MJaZJ7MK`YK7ML_XM8MMZWN9M\ NZVO9MOZUPAMQZTQBMRZSRCMSZRSCMTZQUDMUZPVEMVZOWEMWY\ NXFMYXMYGMZWLZGL_VK_GK`UL_HK`TK`HKaSKaIKbRKbIJcQJc\ IJdPJdIJdOJeJIeNIfJIfMIgJIgLIhKIhKHiKHiKHiLHjLHjLH\ kLGkLGlLGlMGmMGmMGmMFnMFnMFoNFoNFpNFpNFqNEqOErOErO\ ErOEsOEsODtPDtPDuPDuPDvPDvOCwPDvPDvPDuQEuQEuQEtREt\ RFtRFsRFsSFrSGrSGrTGqTHqTHqTHpUHpUIpUIoVIoVInVJnVJ\ nWJmWJmWKmXKlXKlXLlXLkYLkYLjYMjZMjZMiZMwZNw_Nw_Nw_\ Ow`Ow`Ow`Ow`PwaPwaPwaPwbQwbQwbQwaRwbQwbQwbQwcQwcQw\ cQwdPwdPwdPwePweQweRwfSwfTwfUwgVwgWzgWzhWzhWzhWziW\ ziWziWziWzjWzjWzjWzkWzkWzkWzlWzlWzlWzmWzmWzmWznWzn\ WznWzoWzoWzoWzpWzpWzpWzrWzqWzpWzpWzoWzoWznWznWzmWz\ mWzlWzlWzkWzjWzjWziWziWzhWzhWzgWzgWzfWzfWzeWzeWzdW\ zcWzcWzbWzbWzaWzaWz`Wzmzz } frm:EvenMoreSlices {; Jim Muth ; P1--exponent, P2--angle, ; P3--M center, P4--J center, z=pixel+(p4), c=p3+(pixel*p2): z=(-z)^(p1)+c, |z| < 16 } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint