FOTD -- May 28, 2008 (Rating 5.5) Fractal visionaries and enthusiasts: Today's image shows one of those generally disappointing mini- brots lying in the Mandeloids with exponents between 1 and 2. This one lies in the Z^(sqrt(3))+C as it appears 4 levels up the complex logarithmic ladder. Due to its modicum of organization, it squeaks by with a rating of 5-1/2, barely worth the honor of being declared a FOTD. At this not-very-lofty log level, the parent fractal resembles nothing more than a numeral 8 listing to starboard. Today's scene is located on the northern side of the west branch of the prominent valley dividing the main bay into the figure 8. Choosing the square-root of 3 as an exponent was done in jest. Significant numbers such as this apparently have no effect on the quality of the fractals they create. The name "Fortune Always Calls" has nothing whatever to do with the image, or with anything at all connected with fractals for that matter. It's simply a cute phrase, nothing more, nothing less. The calculation time of just over 1 minute is unexpectedly fast. But the trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> is equally fast, and going to the web site will avoid the minor hassle of copying this FOTD into your Fractint directory (or folder) in text format with a .par extension and running it as you would any other Fractint parameter file. A rather muggy day on Tuesday was interrupted by a shower of rain (what else?) in the afternoon, which knocked the tempera- ture down from 86F 30C to 73F 23C. The fractal cats watched the 15-minute shower with disinterest. My day was busy but under control. Tomorrow, when the next FOTD will be posted, should be the same. Until then, take care, and isn't the thought of the perfect fractal heavenly. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= FortuneAlwaysCalls { ; time=0:01:24.04-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.199082275456053/+0.1545238480953167/\ 39000/1/-75/0 params=1.732/0/4/0 float=y maxiter=2000 inside=0 logmap=83 periodicity=10 colors=0009KnBJjCIgDHdFHaGGZHFWJETKEQLDMNCJOBGPBDR\ AAS97T84U81SC3RF5PJ7OM9NQBLTDKXFJ_HHcJGfLFiNDkPCmR\ AoSFmVKkMPhOUeQZbSa_UcXWaVY`T_ZTaYWcXYeV`gUciUfkUi\ mUloUoqVqsXsuZtwauyctxesxhqxjpxlowonwqmwslwrkvrjvr\ ivrhurgurgurftretrdtrcsrcsrbsrarr`rr_rr_rq`nq`jp`f\ p`bo`_o`Wn`Sn`On`Ln`Ln`Km`Jm`Jm`Im`Il_Hl_Hl_Gk_Gk_\ Fk_FjZEjZDjZDiZCgY8iZCiZBhYBhYAhYAgY9gY9gY8zW5yX6y\ X6xX6xX6wX6wX6wX6vX6vX6uX6uX6uX6tX6tX6sX6sX7sX7rX7\ rX7qX7qX7qX7pX7pY7oY7oY7oY7nY7nY7mY7mY7mY8lY8lY8kY\ 8kY8kY8jY8jY8iY8iY8iY8hY8hY8gY8gY8WgRXfPYeOZeN_dL_\ cK`cJabIbaGcaFc`Ed_De_BfZAgY98bb9aaAaaAa`Ba`Ba_Ca_\ CaZDaZDaZEbYEcYFdXFeXGfWGgWHhWHiVIjVIkUJlUJmTKnTKo\ SLpSLqSMrRMsRNtQNuQOvPOwPPxPPyOzzOzzNzzNzzMzzMzzLz\ zLzzLzzKzzKzzJzzJzzIzzIzzIzzHYzHYzGZzGZzF_zFJzmKzh\ MzdNz`OzWQzSRzNSzJUzFVzAWz6Xz2Vz6Uz9SzCRzFPzIOzLMz\ OLzRJzUIzXGz_FzbDzeCzhAzk } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================