; Date: Mon, 26 Mar 2007 22:47:33 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 27-03-07 (FOTD for March 27, 2007 [6]) ; ; Id: <1.5.4.16.20070326215111.29efd608@pop.mindspring.com> ; --------- ; ; FOTD -- March 27, 2007 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; Today's parent fractal came about when I combined 0.1 part of ; Z^(10.5) with 1 part of Z^(1.05) and added straight C. It ; reminds me of a Mandelbrot set with a clumsily trimmed peacock's ; tail. The head of the set faces east-northeast, while the ; peacock tail extends out from the East Valley area toward the ; west-southwest. Today's scene is located in the peacock tail. ; ; I almost gave today's image a name. But at the last minute I ; decided it had been given too little effort to be worth naming. ; The coloring is responsible for almost the entire effect of the ; image. Since I did put a little extra effort into the coloring, ; I did give the image a rating. I rated it at a 6. ; ; The calculation time of 1-1/2 minutes is pleasingly brief. The ; time required to view the image on the FOTD web site at: ; ; ; ; is equally brief and even more convenient. ; ; In a day or so, I will include an article I am writing, telling ; how I pick good parameters for the MandelbrotMix4 formula, which ; automatically initializes Z to a critical value of the expresion ; being iterated. A critical value of a function is a point where ; the rate of change of the function is zero. When an expression ; is iterated with Z initialized to a critical point, the result- ; ing fractal is most likely to contain intact midget Mandelbrot ; sets. The critical point of the formula of the classic Mandel- ; brot set, Z^2+C, is zero, but this is not true for most formulas ; that contain more than one exponent of Z, such as those calcula- ; ted by the MandelbrotMix4 formula. ; ; Lots of clouds obscured the sun here at Fractal Central on ; Monday, but the temperature reached a very mild 59F 15C. The ; fractal cats ignored the weather. They were too busy chasing ; each other up and down the hallway. Nicholas, the big clumsy ; one, got a bit out of control when he leaped onto a table and ; knocked over a lamp. Luckily the lamp was not harmed and Nico ; escaped with only a warning. Cassie, the small, delicate and ; very agile lady, watched all this with amusement. ; ; My day was about average. Unless something goes wrong, tomorrow ; will be the same. The next FOTD will appear in 24 hours. Until ; then, take care, and surround yourself with the fractal light. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= FOTD_for_Mar_27_07 { ; time=0:01:28.05--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=-0.28037047337586200/-0.033742345705927\ 44/1.055854e+007/1/-123.5/-9.13899942181495284e-008 params=0.1/10.5/1/1.05/0/0 float=y maxiter=300 inside=0 logmap=45 periodicity=10 colors=000AAUAAKAAUAAKAAUAAKAAUAAKAAUAAKAAUAAKm00h\ 09c0BZ00U00zzmzmLzzmzm0zzmzm0_imHU02D0DJ0PP2aW6na9\ zeBaeJDzR0e_0ee0Yl0Rr4LyyzzR9zc4zn0zRBr8OR0a2zy00Y\ 00H0040000000zlpyizyizWz0Ou2FiH8_Y0Pn0Fz08zwz0rz0p\ zFlwUiniggyzezzczzcawcFgc0Wc0JP08B000600F00P00Y00c\ 2Di9PpHcwPpz0Up09e02c00a20_90_Pzp0Hn00n00n00n00n02\ n09n0Fn0On0Un0Wi0Wg0Yc0Ya0YY0_W2_R2_P4WU6UY8Ra9PcB\ OgDLlFJpHHrJWnLilOyiPzgRzeLzcHzaDzaBzc9ze8ze6zg6zg\ FznPzu_zzizzuzzazuJze2zR4zP6zO8zL9zJBzHDzFFzFOzJUz\ L_zOUzYPzeJznFzy9zz6zz0zz0zz0zz4zrLzcazPUzJLzDDz86\ z20z00z90zO0zc0zr0zz0zzDzzRzweziuz_uzauzeuzguzluzn\ uzpuzuuzwuzyizn_zcPzWFzL8zD0z40z00z00z00z00z00z00z\ 00z00z00z00z04z08z0Dz0Hz0Dz4Bz69z88zB4zD2zF0zJ0zL0\ zO0zR0zU0zW0zY0z_0za4zc6ze9zgDziHzlJznOzpRzrWzuYzw\ WzrUzpUzlRziRzePzcOz_OzYLzULzRYzJgzBrz4zz0yz0uz0pz\ 0nz0iz0ez0az0_z0Wz0Rz0Oz0 } frm:MandelbrotMix4 {; 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, 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