; Date: Fri, 10 Nov 2006 22:44:26 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 11-11-06 (Fractal Ghost [No Rating]) ; Id: <1.5.4.16.20061110224606.297fc532@pop.mindspring.com> ; --------- ; ; FOTD -- November 11, 2006 (No Rating) ; ; Fractal visionaries and enthusiasts: ; ; Do ghosts exist? The answer is most certainly yes. What then ; are they? This question is much more difficult to answer. But ; whatever they are, ghosts most certainly do exist in the world ; of fractals as well as the so-called objective world. And in ; the case of fractal ghosts, proof of their existence is at hand, ; for I have caught one in my fractal ghost net. ; ; Today's image is a scene in the fractal that results when Z^2.5 ; and Z^4.5 are combined and C is added. I'm not sure what the ; brilliant blue but partially obscured thing is. It certainly is ; not a quadratic midget. It looks something like a cubic ; midget, but if so, it is a very distorted one. The only thing ; that describes this background thing is a ghost, so I named the ; image "Fractal Ghost". ; ; I get the impression that the ghost would fully reveal itself if ; initial Z were set to a different value, but I have no idea how ; to determine that value. As it is, the image received no ; rating, but even un-rated, it is worth at least a brief look. ; This brief look may be found by going to the FOTD web site at: ; ; ; ; and viewing the finished image there. Viewing the image on the ; web site will also avoid the 5-1/2 minute wait while the image ; renders. ; ; Another perfect day (blue skies and a temperature of 66F 19C) ; here at New Fractal Central on Friday went un-appreciated by the ; fractal cats, who were more interested in the modular book- ; shelves fractal lady is assembling in the long hallway. Empty ; shelves give cats nearly unlimited fun. ; ; My day was highlighted by a call from my sister, who is now ; living back at Old Fractal Central with the old fractal cats ; Thomas and Tippy. She told me all is well back there and the ; old cats are sleeping as soundly and enjoying as many tuna ; treats as they did when I was there. She also told me that it ; might be a month or two before my sprained ankle and torm calf ; muscle are fully repaired. ; ; Oh well, I'm kind of enjoying all the extra attention I'm ; getting while hobbling on my walker, but I still can't wait ; until I'm up and about again. The next FOTD will appear in 24 ; hours. Until then, take care, and who is Kenneth Spratling? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Fractal_Ghost { ; time=0:05:26.26--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.65593790068438440/-0.012698613943719\ 61/353.756/1/47.5/-1.26836041669520228e-013 params=1/2.5/1/4.5/0/0 float=y maxiter=1800 inside=255 logmap=16 periodicity=10 colors=000z`7w`7ra6ma6hb6cb5ac5_c5Yc4Xd4Wd4Ve3Ue3T\ e3Sc6Ra8Q`APZCOYENWGMUINTKPRMQQOROQSMSTLVUJXVIZWG`\ YEbZDd_Bf`Aha8jb6lc5nd3pg1sf2re2re2rd2rc2rc2rb3rb3\ ra3r`3r`3r_3r_4rZ4rY4rY4rU4rK4tA4r20t42s53r74q86p9\ 7pB8oCAnDBmFClGDlIFkJGjKHiMJhNKhOLgQMfROeTPdUQdVSc\ XTbYUaYVbXWbYVaZVaZVa_Ua`Ua`UaaTabTabTacTadS`dS`eS\ `fR`fR`gR`hQ`hQ`iQ`kS_jR`iQ`hPagOafNaeMbdLbcKcbJca\ Ic`Hd_Gd_GeZFeYEeXDfWCfVBgUAgT9gS8hR7hQ6iP5iO4hP5i\ P6iQ7iQ8iR9jR9jSAjSBjSCjTDkTDkUEkUFkVGlVHlVHlWIlWJ\ lXKmXLmYMmYMmZNnZOnZPn_Qn_Qn`Ro`SoaToaUobVpaUoaUna\ TmaTlaTk`Sj`Si`Sh`Rg`Rf_Qe_Qd_Qc_Pb_Pa_PaZO`ZO_ZNZ\ ZNYZNXYMWYMVYMUYLTYLSXKRXKQXKPXJOXJNXIMXJNXJNXJNXK\ NXKNXKNXLNXLNXLNXLNXMNXMNXMNXNNXNNXNOXOOXOOXOOXOOX\ POXPOXPOXQOXQOXQOXROXROXROWTNXROYQPZPP_OQ`NQ`MRaLR\ bKScJSdITdHTeGUfFUgDVhCViBWiAWj9Xk8Xl7Ym6Ym5Zn4Zo3\ _bYA`Z9_Z9ZZ9Y_8W_8V`7fzz } 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========================================= ; ;