; Date: Sat, 29 Sep 2007 22:59:36 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 30-09-07 (Deep in the Corner [8]) ; ; Id: <1.5.4.16.20070929230025.0db7c1f8@pop.mindspring.com> ; --------- ; ; FOTD -- September 30, 2007 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; Early in my research with the MandelbrotMix series of formulas I ; found that the expression (Z^2)+(2*Z)+C is simply a more complex ; way to produce the Mandelbrot set. Not wanting just another ; Mandelbrot set, I changed the (2*Z) in the expression to ; (2*(Z^0.999)), which resulted in a parent fractal that is almost ; but not quite a duplicate of the Mandelbrot set. ; ; This parent fractal closely resembles the Z^(2.003)+C figure, ; though the chaos along the negative X-axis has no symmetry and ; is less orderly. Today's image is located in a tiny valley on ; the east side of what once was the large minibrot on the ; negative spike, in an area that is filled with features that ; resemble tracks in a railyard. ; ; I named the image "Deep in the Corner" because the elements in ; the upper-right (and lower-left) corners have a far greater ; iteration value than even the area around the minibrot at the ; center. ; ; I rated the image at an 8 because I think it is worth it. ; Unfortunately, the calculation time of almost 15 minutes is ; rather lengthy. But relief for fractal indigestion is available ; on the FOTD web site at: ; ; ; ; where the finished image is posted. ; ; Perfect weather prevailed once again here at Fractal Central on ; Saturday, and the fractal cats made the most of it. They spent ; the better part of the afternoon lounging in the sunlight ; streaming in the side window. At one time they had some kind of ; a quarrel going on, but whatever it was about, it ended before I ; found the cause. ; ; My day was peaceful enough. The next FOTD will appear in 24 ; hours. Until then, take care, and the theory of relativity ; tells us that time and space are not absolute, but change with ; the individual observer's relative motion. If they appear dif- ; ferent to different observers, how then can they be considered ; objectively real? Perhaps the old song was right, and nothing ; is real -- not even fractals! (But if so, it's still a lot of ; fun pretending they are real.) ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Deep_in_the_Corner { ; time=0:14:45.35-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-1.74584369496664200/+0.005937502955490\ 11/8.95604e+009/1/102.5/0 params=1/2/2/0.999/0/0/0/0 float=y maxiter=60000 inside=0 logmap=747 periodicity=10 colors=000OB`QEdSHhUKjWHlYMn_Rp`UraYsbauccwcexcgyc\ iyckxcmwcoxcqydszfuzhwzmyzrzzvzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzjYei_\ fibhhdihfkghmfjnfmpeoqdqsdstcuvcwwWujOtZGsM8rAAqFC\ pKEoOGoTInYKmaMlfNljQmkSnkUolWplYql_rmbsmdtnfunhvn\ jwolxonxoineeeW`XMXOCTF3VH4XI4ZK4`L4bN4dO5UQ5UU5iK\ 5kK5U06UA6qK6sK6tK6oO8kHAfFCb8EZ1FX4IV6LT8ORBQPDTN\ FWLIZJK`HMcFPfDRiBTk9Wn7Yq5_sDatLbtTct`euUUUUbwhhk\ aiaVjSOrIHs9Jr8LK8NK8PK8RK8TX8VU8XS8cMHiGQoBYpEWqH\ UqKTrNRrQPsTOzcMtZKUKJudHvgFvjEUFTSERQEPODNNDLYDJJ\ CHICFGBDEBBWBAaCFNDJSENXER`FVeG_jGcoHgbIkkIofXhZSd\ YSiLIZETV7L`04P8AVFGoMMdTaX_Yofctmhyjfxhexedwccwaa\ vZ`vX_uVZuSKcQKcNKcLFcJKcGFcEKcCFrIKsN_sS`sYatbbtg\ ctZdcQeOUfPXgQ_hRbiSejTdkXbl_`mcZnfXojWpmXqlYrlZsl\ _tl`ulavlbwlcxldykezkfzkgzkhzkizkjzkjzkkzjlzjmzjzz\ jzzjzzzzzczzzzzzzrzzzzzzz } frm:MandAutoCritInZ {; 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)+(p4)), 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========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint