; Date: Mon, 18 Aug 2008 16:21:11 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 19-08-08 (Stars of Iteration [8]) ; ; Id: <1.5.4.16.20080818162200.2b4fd5ca@pop.mindspring.com> ; --------- ; ; FOTD -- August 19, 2008 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; The formula for today's image adds a very small bit of Z^(-20) ; to Z^2 to produce a Mandelbrot set with disks of Z^(-20) stuff ; at the centers of all the bays and buds. The image is located ; on the X-axis, in the detail at the east edge of a disk almost ; filling the large period-2 bud of the M-set. More than anything ; else it resembles a surrealist's spider-web. ; ; I named the image "Stars of Iteration", which sounds a little ; poetic and in a way describes not only today's fractal, but all ; fractals. And then I rated it at an 8. I considered adding a ; half point for my coloring, but decided that I did not do quite ; enough color tweaking to merit the extra half-point. ; ; The calculation time of only 42 seconds is fast enough to cause ; no impatience. ; ; The finished image, which is posted on the FOTD web site at: ; ; ; ; is convenient enough to totally take the work out of fractals. ; ; With a temperature of 88F 31C here at Fractal Central on Monday, ; it was just a bit too warm to be perfect, but all else was the ; picture of perfection. The dynamic fractal cats, who never stop ; reiterating, agreed. Just after lunch they spotted an unfamil- ; iar manx cat in the yard next door, and with a volley of hisses ; and growls, sent it on its way. I did not tell them that the ; cat was ready to move on anyway, and their empty threats had ; nothing to do with its departure. ; ; Otherwise the day was uneventful. The next FOTD will be posted ; in 24 hours. Until then, take care, and to become famous, solve ; the measurement problem. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Stars_of_Iteration { ; time=0:00:42.84-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.9160783767764306/0/8.62e+008 params=1/2/1e-018/-20/0/0/0/0 float=y maxiter=1450 inside=0 logmap=153 symmetry=xaxis periodicity=10 colors=0000EC0FF0GI0HL0IO0JQ0LT0NW0PZ0Ra0Td0Vg1XiD\ _aPbV`cOldHwdAwgBwjCwmDwpEwsFwvGwyGvvFutFuqFtoFslF\ sjFrhFqeFqcFp`FoZFoWFnUFnSFoTEpTDqTCrTBsTAtT9uT8vT\ 7wT6xT5yT4yT4pO9hJEsFTSAcJ5cB1cC2cC2ZD2UC2PB2KA2FA\ 2AA3AA3AA3AA3AA3AC3AF3AI3AN5AS7FW9L`BReCWiEanGgsPz\ wUzvUzuUzuUztUztPysKwrHurHsqHsqHsmJmjLhgNcdPZaRUYT\ OVVJSXEPZ9M_4K`5Ja6Ha6Gb7Fb8Dc8Cc9Ad99dA8eB6eB5fC4\ fCm6Am9DmCGmFJmIMmKOmNRmQUcTXUW_OYaSdSWkJ_zAbzKYzU\ TzcOzmJztFzzGzzHzzHzzIzzIzzJzzKzzKkVLlYLm`MncMnfOl\ dQjcShbUg`We_YcZZbY``WbZVdXUfWShURjSQkRPceQXsQUrQQ\ qRNpRzoSznSzmTzlTzkTziQHhNLgLPfITeFXdD`cAdb7ha5cX5\ _T5VP5RL5PPAOSENWIMZMLbQKeVJiZIlbHpzGszIzzFrzCjz9c\ z6Wv4Pr3Mm3Kh2Ic2GZ1E_1Ce0Ak08q06v6CoCIhIOaOUVU_U_\ eZdkcamh_omYqrVsvzuzzwzzxzzyzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzezzNzz4zz6zz7zz8zz9zzAzzCzzDzzEzzFzzGzzIz\ zJzzezzfzzgzzhzzhzzezzbzz } 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