FOTD -- April 25, 2014 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that results when 0.01 part of Z^(2) is subtracted from Z^(-2) on each iteration. This parent is gargantuan in size, though the unlikely escape radius of today's image cuts off most of it. This odd escape radius of 99.999 was carefully chosen to bring the scene of today's action as close as possible to the cutoff point, where the bubbles created by the 'fmod' outside option are as prominent as possible. The name "Koilon Bubbles" describes the bubble-like objects in the image, and points back to the time when empty space was assumed to be filled with an invisible substance called aether, which transmitted light waves. Some people, mostly occultists who called the aether 'koilon', also assumed that atoms were actually made of bubbles in this all-pervading substance that were held open by the creative power. Curiously, now that dark energy has come on the scene, this idea does not seem quite as goofy as when it was seemingly disproved by the theory of relativity. The art rating of an 8 is thoroughly earned, since I spent over an hour working up the custom coloring. The math rating of a 7 is earned because the un-truncated parent fractal extends apparently infinitely in both the outward and inward directions. The calculation takes 1-1/2 minutes -- fast enough to keep boredom at bay. And the web sites can avoid all calculation problems. Save a little effort by viewing the finished image on any one of the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Morning sun gave way to afternoon clouds and evening rain here at Fractal Central today. The temperature of 64F 18C was very near normal. The fractal cats were too busy tussling with each other to care very much about the outside conditions, though I did hear Jasmine chattering when a pigeon landed near the window. The humans, who are becoming ever more disgusted with politics and the mass media, had an average day. The next FOTD will be delayed until April 27, two days from now. Until that time arrives, take care, and beware of manipulative media exaggerations. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Koilon_Bubbles { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-4.439109860299364/-5.965792592977377/\ 2.5e+008/1/-42.5/0 params=1/-2/-0.01/2/0/-0.001/0/0 float=y maxiter=1000 inside=0 proximity=0.5 outside=fmod logmap=yes periodicity=6 colors=000zzzxyzwwzuuzsszrqzqozpmzokznizmgzkeziczg\ aze_zcYzaXz_WzYVzWUzVTzUSzTRxSQvQPqOOoMNnKMlILgGKe\ FKdDIaBHY9FX9FV7DT5BO3BM29K27I07F05D03B03905H27S39\ Z5Bc7Df9Fi9FiDIzFKzHMzIOzKQzKQzKQzKQzKTzKTzKTzKTzK\ VzKVxMVvMVqMXoMXnMXiMXgMYeMYaMY_MYYKX_KX_IXaIXaHXd\ HXdFXeFXeFXgDXgDXiBXiBXl9Xl9Xn9Xn7Xo7Xo5Xq5Xq3Xt3X\ t3Xt5Yq7Yo7Yn9YlB_iB_gD_gF_eF_dHaaIa_IaYKaXKaXMdVO\ dTOdQQdOTeMTeKVeKXeIXeHYgFYgD_gBagBag9di7ei5ei3gi2\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 0000000000000000000000000 } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================