; Date: Fri, 24 Oct 2008 17:35:55 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 24-10-08 (Pentaheptahexabrot [7]) ; ; Id: <1.5.4.16.20081024173637.2a77459c@pop.mindspring.com> ; --------- ; ; FOTD -- October 25, 2008 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; I named today's image "Pentaheptahexabrot". The outer pentagon ; surrounding the central minibrot encloses an area with 7-part ; symmetry, while the minibrot itself has 6-part symmetry. It's ; an unlikely combination I know, but there it is. Images on the ; screen do not lie. ; ; I could also have included the 2-part symmetry that exists far ; out beyond the edges of the frame and led me to the scene, but ; none of this symmetry shows in the image. ; ; The scene lies near a larger minibrot near a larger minibrot ; near a still larger minibrot in the chaos on the bud side of the ; northern branch of Seahorse Valley of the parent fractal, which ; on the surface resembles an oversized but otherwise perfect ; Mandelbrot set. ; ; I rated the image at a 7, mostly for mathematical interest. The ; calculation time of over 12 minutes is admittedly slow, but full ; relief may be found on the FOTD web site at: ; ; ; ; where the finished image has been or soon will be posted in GIF ; format for immediate gratification. ; ; Clouds moved in during mid-morning here at Fractal Central on ; Friday, while the temperature hovered around 54F 12C all day. ; The fractal cats meowed and resigned themselves early to a sun- ; less afternoon. ; ; My day was busy, but not as busy as recent days. The next FOTD ; will be most likely but never certainly be posted in 24 hours. ; Until then, take care, and if fractals are abstractions, how can ; it be that we have concrete pictures of them? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Pentaheptahexabrot { ; time=0:12:24.13-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideBrot5 passes=1 center-mag=-75.63892599433935/+6.415672693923542/\ 7.228203e+010/1/174/0 params=7/100 float=y maxiter=6450 inside=255 logmap=1625 periodicity=10 mathtolerance=0.05/1 colors=0000_p8ZoBYnEXmHWkKVjOThRSfUQeXPcYKa_ObaRbb\ UcdXce_dgcdifejiellfmofkndjmbim`gl_fkYekWcjVbjTaiR\ _hQZhOZhMYgKYgKXgG_i1_f3_c4_`6_Y7_V8_SA_PB_MC_JE_G\ F_DG_AI_7J_4KZ8JZCJZGIZKIZOIZSHZWHY_HYcGYgGYkGYoFY\ sFatGYtFVtFSrFPqFLoEImEFkEDiACjCCjEBkGBkIBlKAlLAmN\ AmP9nR9nT8oU8oW8pY7p_7qa7qb7qb7qc2sd7qfBphFojJneKm\ cLmaMm_KmYJmWFmVClU8mW4nY0oY1pZ1q_2r`2sa2ta9k`Gb_N\ U_ULZU6e_DZeKSkRLpXFoTIoPLoLOnHRnDUnAXDIzIHsNGmSFg\ XE`aDVmHCiFJeDPWEUZDVaCVdBVgAVj9Vm8Vv5Up8VjBWdEWZH\ XTKYNNYHQZAEQBLVBSZBYbCdfCkjFnpDpoCqnAsm9tm8ol6pk5\ lj4lj6gl8bn9_p9Xo9Wo9Wo9Vo9Uo9Uo9To0Ry9TyHMfQFXY8O\ _OUKXe`b_wfLtgQqhVni_ljdikiflncmsakwfisjdPz`8lXAka\ BjQDiNEgKGfGHeDJZ4GdAKiFOoLStQVwaLzsAymCxhDxbEwYFv\ THvNIuIJsAMtCLuDKuEKvFJvGJnGQgGW`Ga0IrFHlUGgl7RnPZ\ gGbm3gf6f`8eVBdPDcJGU7NKAKADI0FF0ID0KA0N80U20P60LA\ 0GE0CI04L06M08M09M0BM0zzz } frm:DivideBrot5 { ; Jim Muth z=0, c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(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