; Date: Sun, 24 Sep 2006 23:32:45 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 25-09-06 (Nobody's Perfect [Not Rated]) ; Id: <1.5.4.16.20060924233353.2aef7d9c@pop.mindspring.com> ; --------- ; ; FOTD -- September 25, 2006 (Not Rated) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is titled "Nobody's Perfect". The body I am ; referring to is myself. I recently wrote that the strange ; rectangle appears only in the Julia sets of the Z^(2.003)+C ; Julibrot. But today, just to be double sure, I carefully ; checked the Mandelbrot aspect of the area. ; ; Nobody could have been more surprised than me when I found the ; near-perfect rectangles scattered everywhere. To make things ; even worse, there are Mandelbrot midgets in the area, surrounded ; by empty rectangles. All this goes to show that, just because I ; have been writing the FOTD for over 9 years, makes me no expert ; in the field of fractals, which remain unpredictable. I doubt ; that anyone including Mandelbrot himself could claim to know any ; more than a tiny part of all there is to know about fractals. ; ; Today's image shows a most curious feature, which almost looks ; like a living figure. It has round holes and rectangles every- ; where. The quadratic midgets within it are not that difficult ; to find, but I will show none until the month ends. After all, ; this is supposed to be a month without a midget. ; ; The render time of 7-1/2 minutes may be ignored by visiting the ; FOTD web site at: ; ; ; ; and viewing the GIF image of the scene there. ; ; Sometimes it was cloudy here at New Fractal Central on Sunday, ; and sometimes it was almost clear. There were even a few drops ; of rain in the morning. But the temperature reached a pleasant ; 75F 24C, and the fractal cats totally ignored it. A friendly ; cat tussle got a bit out of control at one point, but the duo ; quickly made up. ; ; My day was good enough. With any luck, tomorrow will be the ; same. But I think that a rather sizable job might come in by ; afternoon. If all goes well, the FOTD will appear before the ; job arrives. Until next time, take care, and be of good cheer ; even if your team lost the big game. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Nobody's_Perfect { ; time=0:07:32.86--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot4 center-mag=-0.00000032538104575/-0.000000103263196\ 45/2.43078e+008/1/-52.5/-1.14117049143658278e-013 params=0/0/0/0/-1.7435/0/0/0/2.003/0 float=y maxiter=4500 inside=0 periodicity=10 colors=000OZkLYmJXoGWqEVsBUu9Tw7Tx9SwBRvCQvEQuFPtH\ OtIOsKNrLMrNLqOLpQKpRJoTJnUInWHmXHmWFkWEiWDgWCeWBc\ WAaW9_V8YV7WV6UV5SV4QV3OV2NW1MX1MX1MY1LY1LZ1LZ1L_0\ K`0K`0Ka0Ja0Jb0Jb0J`4M_7PYBSXEVWIYUL`TPbSSeQWhPZkO\ bnMeqLitKlvJjtJhrIfqIdoIbmH`lHZjGXhGWgGUeFScFQbEO`\ EMZEKYDIWDGUDFTFJVHMXIPZKS`LVaNYcO`eQdgRgiTjjUmlWp\ nXspZvr_ys`xtawtbwtbvucuuduudtuesvfsvfrvgqvhqwipwi\ owjowknxkmxlmxmlxmkynkyojyojyjdwf_vaUuYPtTKrPEqK9p\ G4oJ5lL6jN7gP8eS9bUA`WAYYBW`CTbDRdEOfFMiGJkGHmHEoI\ CrJ9tK7vL4xM2zM0tN1oO2iO3dP4ZP5UQ6PQ7RO9TNBVMDXLEZ\ KG`JIbIKdHLfFNhEPjDRlCSnBUpAWr9Yt8ZoDXkIWgNVcSUZXS\ VaRRfQNkPJpOLlKNhGPeDRa9SZ6U_6Wa7Yb7_c7ae7cf7eh7gi\ 7ij7_d8QZ8GT86N89SCCWFF_JHdMKhQNlTPpWNoULnTJmSIlRG\ kQEkPCjNBiM9hL7gK5fJ4fI7eHAdHCcHFcHIbHKaHN`HQ`HS_H\ VZHXZHU_FS_DP_CN`AK`9I`7Fa5Da4Aa28a19c4Ad6Be8CfADh\ DEiFFjHGkJHmMYacV`eT_gQZi } frm:SliceJulibrot4 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } ; END PARAMETER FILE========================================= ; ;