; Date: Wed, 20 May 2009 22:32:31 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 21-05-09 (Holey Seahorses [7]) ; ; Id: <1.5.4.16.20090520223337.2a4711ac@pop.mindspring.com> ; --------- ; ; FOTD -- May 21, 2009 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today we take a journey into one of those oversized Mandelbrot ; sets generated by the NewDivideBrot formula, which are Mandel- ; brot only on the surface. In its depths, today's M-set develops ; distinctly Z^(77)+C characteristics. ; ; In the image we delve into the Seahorse Valley area of the ; parent M-set. Near the limit of resolution we find a scene that ; by all rights should have a quadratic minibrot at its center. ; All the quadratic trimmings are there, but at the center we ; actually have a Z^(77)+C minibrot. ; ; Since we are at the limit of resolution, it is not possible to ; go any deeper into the image, but from studying similar scenes ; at lesser magnitudes, I can state that there are no discontinui- ; ties in the scene. The sharp cutting-off of the quadratic ; elements is a total illusion. It all blends smoothly. ; ; The name I chose for the image -- "Holey Seahorses" -- refers to ; the apparent hole in an otherwise pretty normal appearing Sea- ; horse Valley scene. It is not a call to the god of seahorses. ; ; The rating of a 7 is just far enough above average to make the ; calculation time of 2-1/2 minutes worth the effort. A trip to ; the FOTD web site at: ; ; ; ; to view the finished image is always worth the effort regardless ; of the calculation time. ; ; An absolutely perfect day prevailed here at Fractal Central on ; Wednesday, with a cloudless sky, light winds, low humidity and a ; temperature of 84F 29C. The fractal cats purred in delight. My ; day was mildly busy taking up the slack while FL busied herself ; in the fractal garden. If all goes well, tomorrow will be the ; same. The next FOTD will be posted in 24 hours. Until then, ; take care, and how important is an individual person to the uni- ; verse as a whole? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Holey_Seahorses { ; time=0:02:34.08-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=NewDivideBrot function=recip passes=1 center-mag=-149.5299161466038/+23.24859716591299/\ 4.869088e+010/1/-2.75/0 params=77/200 float=y maxiter=3600 inside=0 logmap=302 periodicity=10 mathtolerance=0.05/1 colors=000hFagFZeGWdGTcGQbHNaHK`IH_IEZIBWJCUKDSLDQ\ LEOMFLNFJOGHOHFPHDQIBQIDMEEIBFE8GA5LC7QD8UE9ZFAbHB\ gICkJDpKEtLFsPGsTHsXIs`JsdJshKslLspMstNsxNowPkwQgv\ SdvT`uVXuWTuXQtZMt_IsaEscBseKsgUri`qkcom`ooannZmnW\ lmTklQjlNikKhkKbfKXaKRXKMTKGOKAJK5FL4IM4KM4MN4PN4R\ O4TO4WP4YQ3_Q3bR3dR3fS3iS3kT3mT3oU9lUFjULgUReUXcUb\ `UhZUmXUgZUb_UY`UTaUObUJcUEdU9eY8g`7ic7jg6lj5mm5oq\ 4pt3rw3sv4qv5pv6ov7nv8lv9kvAjvBivChvDfvEevFdvGcvGb\ aBaI7`GAZFCXEFWDHUCKTBMRAOQGPVMP_RPdXPhaPmgPrlPvjR\ phTjfVdeXZcZTa`N`bHVYJPTKKOMEJN8EP39Quy6ovEisLcqSY\ nZSkeMilGfsAdzF_xKWwOSvTOuXJtaFseBrj7qn3pY8VX8XW8Y\ V8_U8`T8bS8cR8eR8fQ8hP8iO8kN8lM8nL8oL8pIAcFBSCDFAE\ 3LBBV8Jd5Rn3Yp4`q5cr5fs6it6lu7ov7qrCioGbkLWhPPdUIa\ YBZa4`_8bZBdXEeWIgVLiTOjSRlRVnPYpO`qNdsLguKjvJmwLj\ wMgwNewObwP_wRYwSVxTSxUQxVNxXKxYIxZFx_Cx`AAsRCqPEo\ NGmLIlJKjHMhFNgDPeBRc9Tb7 } frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^2*fn1(z^(a)+b)+c |z| < 1000000 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint