FOTD -- April 26, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image is named "The Fortunate Four". No one is more puzzled about this name than myself. The rating of merely a 6 indicates that I consider the image to be a come-down from the past several days. Perhaps the most striking thing about the image is the obvious black square surrounding the central minibrot. This square is almost entirely due to the coloring. The parent fractal is some kind of weird mixture of Z^(-20) and Z^2, which on the surface resembles an unexceptional Mandelbrot set. This M-set is unusual however because it is surrounded by blobs arranged into rings, which are loaded with minibrots. Today's image is located in one of these blobs, rather deep in East Valley. The calculation time of 3 minutes seems about right to me. I leave it to the individual fractalist to decide whether the result is worth the effort. The finished image may be seen at leisure on the FOTD web site at: <http://www.Nahee.com/FOTD/> The rain ended by 9am here at Fractal Central on Sunday, but the clouds hung tough through the rest of the day, while the tempera- ture of 54F 12C made it feel like November. The fractal cats slept through most of it until a brief but noisy thunder-shower moved in at 6pm. When Nicholas heard the crashing and booming, he decided the bathroom closet would be the safest place, while Cassie ducked behind the couch for the duration. Otherwise, the day was spent recovering from Saturday's not- entirely-surprise antiquing expedition. Actually, I'm kind of getting to enjoy these Saturday trips around the Central Pennsyl- vania countryside, which is pleasantly rural. The next FOTD will be posted in 24 hours. Until then, take care, and if one actually sees a ghost, would it then be more rational for that person to believe in the reality of ghosts, or to go rational and assume their mind is playing tricks? Tricks of the mind are real enough, but in reality, what are tricks of the mind made of? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= The_Fortunate_Four { ; time=0:03:09.07-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=recip passes=1 center-mag=+0.2517290144756433/+0.0000000033082999\ /5.1796e+012/1/111/0 params=-20/100000000000.0/0/0 float=y maxiter=1500 inside=0 logmap=270 periodicity=6 mathtolerance=0.05/1 colors=000X6oXCyTKuPXrLjn1`J5fR9lYDrdnW`Sl4PoFMrQJ\ u`LMnuet`noMLZKVbJdeInhlL4XdQZE_UQbQ`eLlhSNZO_cKkg\ CxIFwXermXtlPvkbi_VncOsgWg4RmJMrYXCkRSkMgkrocerfTu\ ir0chFe_UgQhiffFUoWLBrJ_niqW_saQufTm2NrP4gj8kkBokE\ skQjQNnWLq`Jtf6C_C_eJeHInXDtyFXcD_rFen80BBFLDUUFhb\ nX0sZyfgtUooblInkQjwXqedHSkHfkrvwewsTwo7SFzIF1ce5h\ g9mhDrjhUdZcgQmitDg``irNZtp1fsHUuXi8XBlTDoYErbGugz\ GMcaZD2gQf_gcl32l7HkAVkEik4k4B4LoMucZqSkng6x`KtUXq\ NjnAcxm92lA1cBUWCvVDjUE_TFPSGE_QDgZDaXBXW9SU7NT5O_\ EOfNOmWOsdIFKHUUHhbzzGzpOzhWNbcddtZiqTnoNsmDR2E_EF\ gPGo`VbKQiULzbmKgbYiSjjVnhRqiOsjKuk48A9QNDf_S5Zyze\ jOgWei5A3BZQyadXGydDbZPeT`gNliHuDHvVCJSFcazzqMGHKR\ PJaXIldjh5blGWpROta3UB7aLAhUEpbwoVlq_ascRugdjMXoVP\ scvyAhxNVw_oYycftSoo7DHC`XzZapOPgXVZe`Qnf`PNl3OaMW\ RdcaHaWSdRbfMmiz8ycYr9uCDvUcynJaaEMJFWRGdYHndrEPeU\ XThdei5ZmGTpRNtaTeVdXsXep } 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=========================================