FOTD -- December 22, 2002 (Rating 6) Fractal visionaries and enthusiasts: Today's image comes as close to true-color as is possible with only 256 colors. The iteration bands are still there, but one must look carefully indeed to see them. And no, I did not spend hours working on this illusion. It happened by accident as I was rotating the palette. I named the image "Batty for Fractals" because the dark objects in the foreground remind me of baseball bats. The generating formula is named "BackwardBrot" because instead of raising Z to the power of a number, it raises a number to the power of a power of Z. I wrote the formula many years ago, well before I started the FOTD, back in the days when I was an intrepid fractal explorer exploring alone where no one had gone before. I am still a fractal explorer, and always shall be, but as the world of fractals has become more familiar, I no longer need to be as intrepid as I once was. The sense of adventure is still there however, and as long as unseen things remain in the world of fractals, I shall seek to find them. Partly because of its illusion of true color, which might depend on the adjustment of the individual monitor, today's image rates a 6. Perhaps its best feature is its incredibly fast render time of 48 seconds, which is likely due to the fact that its magnitude is in the default range. The completed GIF image may be found on the W.W.W. at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> With a temperature of 55F 13C, Saturday turned out to be better than expected here at F.C. After starting with lots of clouds, it turned sunny and mild by noon. Too bad that the holly trees blocked most of the sun from reaching the yard, where the dynamic duo spent almost two hours exploring. I fail to see how one's own yard can be so unknown that it needs to be explored, but then I am not a cat, and cats live in a different world. Now I must give the bad news that I had hoped to avoid. With the holidays so close, things are getting so hectic here at F.C. that for the next few days I will be unable to find the time for fractal exploration. As a result, today's FOTD will be the last until this coming Saturday, December 28. But I am not losing enthusiasm for fractals -- I can't imagine that happening -- I merely will not have the spare time to sit at the computer and explore. Until Saturday then, take care, and I'll still be checking the lists every day. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Batty_for_Fractals { ; time=0:00:48.22--SF5 on a p200 reset=2002 type=formula formulafile=archive2.frm formulaname=BackwardBrot passes=1 center-mag=-3.34\ 426/0/0.269495 params=-12/0/-12/0/0.3/0 float=y maxiter=240 inside=bof60 logmap=yes periodicity=10 colors=000SGDAAEUMFSOFQRGOTHMWIKZJJ`KHcLGeLEhMCkNB\ mO9pP8rQ6uR5wR8vTAuUCuVEtXGsYIsZLr`NraPqbRpdTpeVof\ Ynh_niamjcmlelmgknjkpljqnirpitrhutfvsduratqZspWsoT\ rnQqnMqmJpmGplDolAok7nk3nj4mj4mi5li5kh5kh6ih6hh7fh\ 7dg7cg8`g8Zg9Xg9Vg9TgARgAPgBNgBKgBIgCGgCEfC9eBAdBA\ cBBbABaAC`AC_9CZ9DY9DX9EW8EW8EV8FU7FT7GS7GR7HR6HQ6\ HP6IO5IN5JM5JL5JK8MKAPKCSKFTKHUKJVKKWKKXKKYKKZKK_J\ K`GKaHKbHKcHKdHKeIKfIKgIKhIKiJKjJKkJKlJKmKKmKKmKIm\ KHmLFmLDmLBmL9mM7mM5mM3nK0pM2nO3mP4lR5jS6iU7hV8fX9\ eYAd_BbaCabD`dEZeFYgGXhHVjIUkJTmKRoLQpMPrNNsOMuPLv\ QJxRIySHwTIuUJsVKqWKoXLmYMkZNi_Ng`OeaPcbQacQ_dRYeS\ WfTUgTShUQiVOjWMkWNiYOg_OfaPdbPcdQafR`gRZiSYkSWmTV\ nUTpUSrVQsVPuWNwROyWMx`KweJvjHuoGtnFrmFqlFokFnkFlj\ FkiFihFhgFfgFefFceFbdF`cF_cFYbFXaFV`FU_FS_FRZFPYFO\ XFMWFLWFJVFIUFGTFFUDCTFETHGSJISLJRNLRPNQRPQTQQVSPX\ UPZWO`XObZNd`Nfb_9AZBBXEC } frm:BackwardBrot { ; Jim Muth z=c=pixel: z=p1^(z^p2)+(p3*c), |z| <16 } END 20.0 PAR-FORMULA FILE==================================