FOTD -- April 26, 2013 (Rating 6.5) Fractal visionaries and enthusiasts: Today's image is named "Fairies on the Lawn". I have heard it said that even though we never see fairies dancing on the lawn, it is no sign they are not there. Well, in today's image the fairies are dancing on the screen and they are quite visible. True, they do not resemble tiny people, and why should they? They are 'arupa' fairies, basically bright little bundles of energy with no definite shape. I came upon the fairies as I was exploring the fractal that results when 0.1 part of Z^2 is combined with 2 parts of Z^(-3) and the whole thing is iterated with the bailout radius set to 900. This fractal is an oversized, well-decorated Mandelbrot set overflowing with extra goodies such as islands inside the main bay and superfluous minibrots everywhere. Today's scene lies just off the main stem near the spot where the large minibrot should be. The rating of 6.5 includes the half-point bonus for my coloring efforts. I'm not sure that the bonus was fully earned, but it gives me a feeling of satisfaction to pat myself on the back occasionally. The calculation time of a fireball-fast 30 seconds will pass in about 8 breaths. Checking the finished image on the FOTD web sites will save your breath. The fairies dance online in finished form at: <http://www.crosscanpuzzles.com/Archives.html> where the image has been calculated and is posted. The high-definition variations are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are at: <http://www.Nahee.com/FOTD/> With photoshop blue skies, a few puffy white clouds, gentle breezes and a temperature of 61F 16C, today's weather was near perfect here at Fractal Central, and the fractal cat made the most of it. The fractal humans made the most of it also, while we were busy on more important things however. The next FOTD will be posted in the near future. Until the future arrives, take care, and most everyone, even the wealthiest, has occasional feelings that despite modern technology something is missing in his or her life. But it's not so simple to pin down exactly what is missing or where it might be found. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Fairies_on_theLawn { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=-18.910519601936/+0.0644882255628/\ 3.41531e+007/1/-72.5/0 params=0.1/2/2/-3/0/800/0/0 maxiter=800 inside=0 logmap=50 periodicity=6 colors=000KGqJFpIEoHDnGCmFBlEAjD9gC8cB7ZA6U95P84K7\ 3F62A000uzxtmuscrgUrXKrM7r20nj0GqULzz0whPwVOwHNw3M\ v8QvDTuHWuMZuRbtVet_htckjdg`ddRe`IeYJgVJiSJkPJlNJn\ KJzHUzEczCmzJmcQVTXZKcZYLZj3`lFanRbpbcqmanl_lkYikW\ gjUdiSbiW`k__mbZofXqiWsmVupUvgao_hhRpaJwVNpZRibVbf\ ZWibPmfIqjBthASf90p4Bk9DjEEjJFiOHhTIhXJKzNGrPDjR9b\ T6VV3OW9QZFR`LTcQUeSWdUXcVYbX_aY``_b_acZbeYdUXfUWg\ UViUUjUTlUSnURoUQqUPrUOtUNvUMwULyUKrUTtfRucPvcOxcM\ ycKxcHycIycIycIycIycIycIycIycIzcJzcJzcJzmJzmJzmJzm\ JzmJwmwxmrxmmxmiymdym`ymWzmSBmq7muzmqMmnTmk`mggmdn\ maumZqmUnmPjmKgmFcmA`m5Ym0xclpcahcR`cGTc5dc4gcJicX\ kOkmSygWwbZvYatTdsNhqIkpDnn8qmicbjc`jcZkcXkcWlcUlc\ SlcRjcLi`Fgf9fk3ej2ej1fk2gl3hl4im4jn5kn6lo7lp7mp8n\ q9orAprAqsBrtCxuKstDsuDtvEuvFvwGwxGxxHyyIzzJZzv`zt\ azsbzqczpdznezmfzkgzjhzhizgjzekzdlzbmzanz_ozZpzXqz\ WrzUszTtzRuzQvzOwzNxzLcze } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================