FOTD -- January 27, 2009 (Rating 7) Fractal visionaries and enthusiasts: Today's image takes yesterday's image to the limit. I named it "Cradle of Infinity" because somewhere in the vicinity of the value of the real(p3) parameter, the Julia set expands to infinity before collapsing back on itself. With the limited mathematical precision available, I came as close as possible to the point of infinity, close enough for today's image to give a pretty good idea of what that ideal fractal must look like. The zig-zag boundaries are a result of rendering the fractal with the inside set to 'zmag'. I have no idea how the rather lurid color scheme came about. If I had put a little more effort into the coloring, the rating of a 7 might have been a bit higher. The calculation time of 3-1/2 minutes should bring little hardship. And even this may be eliminated by dashing out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. Monday featured partly cloudy skies and a temperature of 28F -2C here at Fractal Central. But the fractal cats did not waste time complaining about the weather, they spent the day celebrat- ing their glorious victory. An annoying mouse has been darting around the fractal kitchen the past few days. Monday morning the intrepid mouse darted out once too often. Both cats were on kitchen patrol when the mouse dashed across the room. Nicholas, the large but clumsy black british shorthair, pounced first but missed. All was not lost however, for he chased the mouse right toward small but agile Cassie, who pounced and easily caught the mouse. Not a cruel cat, Cassie dispatched the mouse quickly and offered it to FL. Both fractal cats were rewarded generously. I did not see the mighty victory, but FL, who was on the scene, gave complete details . . . once she settled down, that is. The rest of my day was notably average. The next in the ongoing series of gorgeous fractals will be posted in 24 hours. Until then, take care, and even a mouse deserves a break. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Cradle_of_Infinity { ; time=0:03:32.83-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot6Julia center-mag=0/0/0.0002\ 046932 params=-4/8/0.1/0/-0.72008749000115/1.128295 float=y maxiter=1500 inside=zmag logmap=yes symmetry=origin periodicity=0 colors=000D57IE7ON7UW6Zd6dm6jw5cpJXiXPakQabR`US_KW\ aN`cQeeTjhXoj_tlbynezqitfct_etUftNhtHitAkpRgkWfg_e\ bdcYibUmaPr`KwZPscOtgNukUY`_BTaLScWReeQhpPVkYKqeKl\ `JfVJ`PIWJIQDHK7GE1cHCzLOuLPoKQiJRcISYITSHUMGVGFWF\ EUDDRBCP9BMLIKYPHjWEwcBn`9dY6VV4LS1mAGmAGmAHmAImAI\ fHG_OEUVCNaAGi7Hh8Hg9IgAIfBJfCJeDKeEKdFLdGLcHLbIMb\ JMaKNaLN`MO`NO_OP_PPZQPYRQYSQXTRXURWVSWWSVXTVYTUZV\ `eUXaTUZSQWRNSQKPPGMODIN9FM6CK28L39M39N49O49P59Q59\ R59S69T69T79U79V89W89X89Y9AZ9A_AA`AA`AFaBLaCRbDXbD\ acEgcFmdGstKiyfQpIelG`gEXcBS_9OV7JR5FM2AL6CKBEJFGI\ KIGPLTlBTZKTLTS6adNbqdcSCZRJWRPTQWPPVJQZPPaPPePOhP\ OkPNoOQdPTXPVPPYIP_APb2OlMUzZZtV`mQcfMf_HiTCl_MhTL\ jMKlFJn7IpwPoEMgDP_CTSBWKAZC9b4CRRDLZEFec9zcBzcDzk\ FzvItdSuYexWYXmmzmmzzrhmmzbDaaCfqmzjmzqmzCmzqmz8mz\ qmzCmzqmzGmzqmzKmzqmzOmzqmzeGhe8Zl0UpJSzVLzVLyWKwX\ KzeJzZIxTJmPHeLFYHDN00055 } frm:DivideBrot6Julia { ; Jim Muth z=pixel, c=(p3), a=real(p1), b=imag(p1)-2, d=real(p2)+0.00000000000000000001, f=imag(p2)+16: z=z^(a)/(z^(-b)+d)+c |z| < f } END PARAMETER FILE=========================================