; Date: Sun, 26 Oct 2008 19:42:30 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 27-10-08 (A Huge Trunk Full [7.5]) ; ; Id: <1.5.4.16.20081026184312.2a575536@pop.mindspring.com> ; --------- ; ; FOTD -- October 27, 2008 (Rating 7.5) ; ; Fractal visionaries and enthusiasts: ; ; Today's image, with both Z^2 and Z^6 features, lies in the East ; Valley of a parent fractal that resembles a ragged Mandelbrot ; set. I named it "A Huge Trunk Full" because it is a scene in a ; trunk-spiral in a larger trunk-spiral. ; ; I rated the image a 7.5, allowing myself 1/2 point reward for ; the 1/2 hour I spent working on the colors. Unfortunately, the ; colors will not blend as smoothly on a monitor with a different ; color balance. ; ; Though the generating expression combines both Z^2 and Z^6 ; elements, there are no discontinuities in the image, such as ; would exist with a generating formula of something like Z^4.5. ; Yet with the DivideBrot5 formula, we can produce Mandeloids in ; all the stages of morphing between Z^2 and any other power of Z. ; ; But strange things happen when we try to morph a Z^2 Mandeloid ; into something with an exponent less than 2, especially ; including the negative exponents. This area needs much more ; exploration, which of course, I will be doing in the days to ; come. ; ; The calculation time of just under 2 minutes is as brief as a ; bikini. The trip to the FOTD web site at: ; ; ; ; to view the completed image there is even briefer. ; ; Sunday began quite foggy here at Fractal Central, but by 10am ; when the fog lifted, the rest of the day was near perfect. The ; fractal cats fully appreciated the warm sun and temperature of ; 61F 16C, but had a bit of a spat about who got the sunniest spot ; on the shelf. ; ; My day was fully occupied by doing nothing. But with the work ; already waiting, tomorrow will be less peaceful. The next FOTD ; will be posted in 24 hours. Until then, take care, and keep the ; fractal exponents straight. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= A_Huge_Trunk_Full { ; time=0:01:57.18-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideBrot5 center-mag=+1.545328108316\ 62200/-0.00573785680965751/7.048239e+008/1/-120/0 params=6/6 float=y maxiter=3600 inside=0 logmap=279 periodicity=10 colors=000Y9SX9SW8RV8QU8QT7TT7VT6YT6_S6bS5dS5gS4iR\ 4lR4nR3qR3sR3uT5sU7qW8pXAnYBm_Dk`EjaGhcHgdJeeKdfJc\ fIcfIceHcdHccGbbFbaFcaEe_IgWMiTQlQUoNYqKauHeuIivKm\ vLovNovOpvQpvRqvTqvUrvWrvXsvZsv_tv`tvYrrVqoTolQmiN\ leLkbIi_GfXHcVI`UIYTJVRKSQKPPLNOMKMMHLNEKOBIOFHPKG\ PPFVUL`ZQfcVlh`rmevpjnmaehTXcKOZBFV3ER8EOCDLGDLKCL\ PCKTBKXBK`DJYEJVFISGIPIHMJHJKGGLGDNFAOF7PE4QE2TI3V\ M4XP5_T6aW7c_8fb9hfAjiBmmCopDqtEswFtuEttEusDuqDupD\ voCvnCwlBwkBwjBxiAxgAyf9ye9yd9wcEvbIuaMs`Qr_UqZZpY\ bnWfmUjlRikQgjOeiMchKagI_fGYeEWdCUcDSgMQhOOiQMQLKz\ hMzeOvcQv`StZSqWRlURkRQjQOhPQ_ORRNTHCcJMUDPKKVLTT4\ R_MRggQecQd_PbWPaSP_OOZKOXGLXAOWDzWGTVJzVLZVOzURcU\ UzOBzUWzapzZoSoozXnt1jpFmmTpzfszclz`ezYZzWSzTLzQEz\ N7zL0zI5zFAzCFz9Kz6Pz3Uz0Yz7`zDbzKezQgzWizXWzYIzY4\ zVBzSHzQNzNTzK_zIezFkzDqzAnz8kz6hz4ez5_z5Uz5Oz5Iz5\ Cz56z50zMfzKbzIZzGVzERzCN } 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