FOTD -- December 27, 2009 (Rating ?) Fractal visionaries and enthusiasts: Today's image is another very quick one, but the speed lies in the time I spent finding it. Its calculation time of just under 9 minutes is in no way exceptional. The image is located in one of the 999 lobes surrounding a larger minibrot of order 1000, which is shaped like a truncated Mandelbrot set. The parent fractal however is nothing more than a grossly enlarged classic M-set. I named the image "What Kind of Midget" because I have never seen anything quite like it. It appears more like a pile of circular disks than a single minibrot. Similar scenes lie deep in the hairline outlines, though most of the action down there is far beyond resolution. Totally puzzled, I gave the image a rating of a question mark. If the mathematical interest is eliminated however, the artistic value would be around a meager 4. As always, the chore of calculation may be eliminated by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Clouds and showers, with a surprisingly mild temperature of 46F 8C, brought a bit of contentment to the fractal cats here at Fractal Central on Saturday. All else was within reason. The next FOTD is due in about 8 hours, but there is a good chance it may be late, and it could take several days to get everything back on schedule. Until whenever, take care, and be with wisdom. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= WhatKind_of_Midget { ; time=0:08:53.95-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=NewDivideBrot function=recip passes=t center-mag=+38.01381920806158/-0.0452846543720105/\ 1.3e+011/1/-62.6/0 params=1000/150 maxiter=5000 float=y inside=0 periodicity=6 mathtolerance=0.05/1 colors=000HGFGBCEFHDILCLPBOT9SX8V`7Yd6`h5dl5gp5jt5\ mx7XvDHtFKrHMqIOoKQnLTmNVkOXjQZhRagTcfUedWgcXibVh_\ TgXRfUPeRNdOLdMNgHPjDRm8Tp5Vs5VaSVLrXNpYOo_Qm`RlbT\ jcUieVhfXfhYei_ck`blb`nc_odZlc_jb`haafaac`ba_c_ZdY\ ZdVYeTXfRWgPWgNZgM`gKbgIdgHfgFbgEZgCVgBSgGPhKNhPKh\ TIhVLiWNiYQiZSi`UiaXicZjdajfcjgejihjjjjklj9TO6eL5r\ I5zFXr`YfvZaZZYBcZAh_Am_9s`9u`9wa8wa8wb7wb7wc7wc6w\ d6wd6wcAwbDwaGw`Jw_MwZQwYTwXWwWZwVawUevThwSkxRnyQq\ yQtwOmuNgsL`rKVpIOnHImGCkHDjHEhIFgIGeJHdJIcKIaKJ`L\ KZLLYMMWMNVNOUNOaX_ifkWRYICKmmzmmzmmzmmzmizmgzmezm\ czmczmdzmdzmdzhdzcdzZdzUdzPdzKgzOjzTlzXoz`rzetziwz\ mzzrzzvzzzzzAyzAtzAozAjzAezA`zDWzGRWCGS9LP6PMGQTPR\ ZYSdfTjmXls`nycokcccmxqAXoQXZFnINOQSRYXTeaV7Po5wzK\ qpZkf5byHcqSdjbecHshYlbRjOZhRffUQzsapg_V5f`IeLDhSK\ kZRa_mGgFXfOpELoOPnXT5OxQXjKaQyAUvIVsQWpYX``5ebEid\ O8jxTajPN9MQ`L_SKVPJQMILI } frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^2*fn1(z^(a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================