FOTD -- February 07, 2012 (Rating 9.9) Fractal visionaries and enthusiasts: The astronomical 9.9 rating of today's image is no error. The artistic value is up there with the best, and the mathematical interest sets a new FOTD record. Put together, this raises the rating to the whopping 9.9. I did not rate the image a perfect 10 because I wanted to leave a bit of room for a possible better fractal that might eventually come. The artistic value speaks for itself. The mathematical interest is the existence of an impossible minibrot. The perfect Mandelbrot minibrot at the center of the image is impossible. This impossibility led to today's name -- "It Is Inconsistent". The image itself is an 'almost' Julia set of a minibrot in the northwest outskirts of the cloud of debris surrounding a Mandelbrot set corrupted by Z^(-12) energy. The orientation is double rotated only a tiny 0.15,0.15 degrees from the true Julia direction. Because the size of Mandelbrot minibrots becomes infinite in the Julia planes, they can never appear in Julia sets. But apparently, someone forgot to tell the minibrot in today's image that it cannot be there. In addition to the minibrot itself being impossible, I have never before seen a minibrot with a circular disk inside its main bay. This disk is the actual Julia set. Change the real(p2) and real(p3) parameters to 90,90 and everything but this disk will vanish. The calculation time of an incredible 7 seconds makes today's image the best bargain in FOTD history. It will give the fractalist a taste of true fractal luxury. Enjoy a life free of calculation by viewing the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> Make life even more luxurious by viewing it in high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And always remember the original FOTD site at: <http://www.Nahee.com/FOTD/> which has been on the web since April 1997. Typical winter weather continued here at Fractal Central today, with a mix of sun and clouds, (more clouds than sun), and a temperature of 45F +7C. The fractal cats made the most of the sun while it was shining, until their empty stomachs reminded them that it was time to ask for food. FL and I had another near eventless day, consisting of routine work, which leaves almost nothing to write about. The next FOTD will be posted in 24 hours. Will it rate a very elusive perfect 10? Probably not, but check back then to see. Until next time, take care, and we seem to be heading for another fractal hot streak. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= It_Is_Inconsistent { ; time=0:00:07.50 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=JulibrotMulti2 function=recip center-mag=-2.33382/-0.824264/0.03290941/1/-70/0 params=-12/2500/89.85/0/89.85/0/-1.517971789544359\ /0.8699445685140538/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=6 colors=000zzzzzzzzzxzzqzzszzszzszzszzszzszzszzczzc\ zzczz4qYxzzpzzizsizXlzHpv6hq0`f0VX0OO0JI0MD0U83Y28\ _2De1Il0Op0Ur0_s6csAinIpfPv_QzPUtKUoESk9Sf4U_DR`MO\ `TMaUMcSPcQScPVaPX`PV_PSYPOXPMVPKUPCSP8QP8PPDOPHMM\ LMKPMHUOEYOCaOCfOCXXDK0KO2PQ3VV6`Y7_Y7_X7_X7YX7YV7\ YV7XV7XV7VU7VU7VU7US7US7US7SS7SQ7QQ7QQ7QQ7PP7PP7PP\ 7OO7OO7MO7MO7MM7LM7LM7LL7KL7176KL7IL7IK7IK6HK6HK6H\ I6GI6GI6EH6EH60Vi1Ya7_XDaQKcLQeGYhAei6lj1je0i_0hV0\ fP0fL0_H1UD8O9GI6OD2X80e30m30Y34I38638628628627617\ 6176zL4zK6zK6yK6xK6vI6tI6sI6qI6pH6mH6lH6jH6iH6hG6f\ G6eG6eG6cE6aE6`E6_E6YE6XD6VD6zzEzzEzzEyzGxzGvzGtzH\ szHqzHpzImzIlzIjzIlzLmzOmzPpzSpzVqxXqv_ssasqctmftl\ ivijvhmxeqxcsv`mt_isXesVaqSYpQUpOQmMMlKIlIGjGCiE8i\ D6VS7Hf74v80z80z90z81z87x7Cs7Im7Oi6Ve6``6hX4mS4tP4\ hOKXM`MLqMLqMLqLLpLLpEqyDqzGmzIjzLhzOeyQayS_xVXxYU\ v`QtcOteLshIsjGqmDqqAps8p } frm:JulibrotMulti2 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p2*0.0055555555555556), b=pi*imag(p2*0.0055555555555556), g=pi*real(p3*0.0055555555555556), d=pi*imag(p3*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), aa=-(real(p1)-2), bb=imag(p1), c=p+flip(q)+p4, z=r+flip(s)+p5: z=(bb)*(z*z*fn1(z^(aa)+bb))+c |z|< 6 } END PARAMETER FILE=========================================