FOTD -- April 21, 2010 (Rating ?) Fractal visionaries and enthusiasts: I might have been thinking of the current volcano excitement when I named today's image "Fractalized Ash". The image pictures a foreground haze through which a nearly-obscured quadratic minibrot can vaguely be made out. My first impression is that the starting point of 0,0 is not a critical point of this formula, but I have never been able to actually track down one of these background minibrots by changing the starting point. Doing so merely makes all traces of the obscured minibrot vanish from sight. The parent fractal appears as a slightly distorted and not quite critical Mandelbrot set with a tiny bit of chaotic debris at the center of the main bay. Today's scene is located in this debris. Curiously enough, other smaller minibrots are scattered all through the debris filling the image, and surprisingly, these minibrots are variations of the cubic. I rated the entire scene at a question mark. Almost all of the value is in the mathematical aspect; very little value is in the artistic. The calculation time of 5-1/3 minutes might be more than the image is worth, but it is still interesting to watch the scene unfold as the hidden minibrot gradually appears. If appearing minibrots are not all that exciting, any remaining curiosity may be quickly satisfied by visiting the FOTD web site at: <http://www.Nahee.com/FOTD/> and viewing the finished image there. Tuesday brought a repeat of Monday's weather to Fractal Central here in Central Pennsylvania. The sun was bright, the tempera- ture reached 66F 19C, and the fractal cats were as happy as cats can be, though I'm not quite sure how happy that might be. My day was average, which might or might not be boring. The next FOTD will be posted in 24 hours. It's sure to be a good one. Until then, take care, and if Santa Claus exists only in the mind, what then is Santa made of? (If anyone says thought, I will simply ask what is thought made of.) Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Fractalized_Ash { ; time=0:05:22.41-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=recip passes=1 center-mag=-0.1736589885/+0.0014729311/81042.99/1/\ 2.5/0 params=3/-10/1000/0 float=y maxiter=15000 inside=0 logmap=42 periodicity=6 colors=000zYAvYArYBmYBhYBcYBZYBUYBPYBKYBFYBAYB6YC6\ YC6YC6YC6YC6YC6YC6YC7YC7YC7YD7YD7YD7YD7YD7YD7YD8YD\ 8YD8YD8YE8YE8YE8YE8YE8YE8YE9YE9YE9YE9YF9YF9YF9YF9Y\ F9YF9YFAYFAYFAYFAYGAYGAYGAYGAYGAYGBYGBYGBYGBYGBYHB\ YHBYHBYHBYHBYHCYHCYHCYHCYHCYHCXICXICXICXIDXIDXIDXI\ DXIDXIDXIDXJDXJDXJDXJEXJEXJEXJEXJEXJEXJEXKEXKEXKFX\ KFXKFXKFXKFXKFXKFXKFXLFXLFXLGXLGXLGXLGXLGXLGXLGXLG\ XMGXMGXMHXMHXMHXMHXMHXMHXMHXMHXNHXNIXNIXNIXNIXNIXN\ IXNIXNIXNIXOIXOJXOJXOJXOJXOJXOJXOJXOJXOJXPKXPKXPKX\ PKXPKXPKXPKXPKXPKXPKXQLXQLXQLXQLXQLXQLXQLXQLXQLXQN\ ULMVNMWOLXQLXRKYSKZUJZVJ_WI`YI`ZHa_HbaGbbGccFdeFef\ EegEfiDgjDgzChzCizBizBjzAkz9jzAkzAkzAkzAkzAkzAkzAk\ zAkzAkzAkzAkzAkzAkzAlzAlzAlzAlzAzzAzzAzzAzzAzzAzzA\ zzAzzAzzBzzBzzBzzBzzBzzBzzBzzBzzBzzBzzBzzBzzBzz4zz\ 4zz3zz3zz3zz3zz3zz2zz3zz3zz3zz3zz3zz3zz3zz3zz3zz4z\ z4zz4zz4zz4zz4zz4zz4zz4zz } frm:FinalDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < esc } END PARAMETER FILE=========================================