; Date: Tue, 07 Feb 2012 15:49:26 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 07-02-12 (It Is Inconsistent [9.9]) ; Id: <1.5.4.16.20120207155108.2b7f7222@earthlink.net> ; --------- ; ; 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: ; ; ; ; Make life even more luxurious by viewing it in high definition ; at: ; ; ; ; And always remember the original FOTD site at: ; ; ; ; 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========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;