; Date: Mon, 06 May 2013 20:55:40 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 06-05-13 (In Deep Territory [8]) ; Id: <1.5.4.16.20130506205529.2d47a37a@earthlink.net> ; --------- ; ; FOTD -- May 06, 2013 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; Today's image lies very deep in the parent fractal that comes ; about when 0.1 part of Z^(4.4) is combined with 2 parts of ; Z^(0.4) and straight C is added on each iteration. This parent ; resembles a Mandelbrot set facing northeast with a large ; triangular area sprouting behind it from its East Valley area. ; Today's scene is located in the northwest valley forming the ; entrance to this triangular area. ; ; The name "In Deep Territory" refers to the unusual magnitude of ; the image, one of the greatest of all time. ; ; The rating of an 8 reflects my opinion of the image at the time ; I rated it. I may soon shift to an more informative rating ; system that gives two ratings, one for the artistic value, the ; other for the mathematical interest. ; ; A good part of the artistic effect was achieved by rendering the ; image with the inside set to 'fmod'. The magnitude of over ; 2.5*(10^13) is at the verge of resolution breakdown. In fact, ; the breakdown is already becoming visible along some of the ; sharp edges. ; ; Luckily, the image calculates in 3-1/2 minutes, surprisingly ; fast for a scene that uses the 'fmod' feature. And the web ; sites are always there for instant enjoyment. ; ; Check the finished image at: ; ; ; ; and the high-definition renderings at: ; ; ; ; The back images are at: ; ; ; ; Another absolutely perfect day prevailed here at Fractal Central ; today. The few angel-hair cirrus clouds that appeared in the ; morning, and the few cotton-puff cumulus clouds that popped up ; over the ridges in the afternoon did nothing but add to the ; perfection. The temperature of 73F 23C and gentle southeast ; wind were also perfect. The fractal cat admired the outdoor ; conditions . . . from the inside. The fractal humans also ; admired the outdoor conditions. ; ; The next FOTD will be posted in a number of hours. Until that ; number passes, take care, and I am still waiting for someone to ; solve the very interesting and quite puzzling 'Boltzmann brain' ; paradox, which currently has physicists pondering and rational ; skeptics a bit concerned also. I'll forget the convoluted line ; of thought about entropy that led to the problem, since it is on ; the internet. At this time, I'll merely state that either the ; existence of the universe involves more than pure blind chance, ; or the universe is filled with disembodied 'Boltzmann brains' ; which somehow can exist and be conscious while floating in empty ; space. ; ; The apparently 'logical' deduction is that, if the universe is ; merely a random accident, then it is many googols of times more ; likely that, instead of existing in a real physical universe, I ; am a pathetic deluded Boltzmann brain, floating in empty space ; and imagining everything I have ever experienced, including the ; physical world and everything else that appears to be so real. ; I doubt that this is true, but, despite convoluted claims to the ; contrary, no one has yet been able to show beyond doubt that it ; is untrue without invoking an intelligence of some kind to elimi- ; nate the random element. And we know what rational scientific ; skeptics think of the idea of 'God'. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= In_Deep_Territory { ; time=0:03:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=-1.122707213001586/-0.1067224794760605/\ 2.545255e+013/1/-15/0 params=0.1/4.4/2/0.4/0/0 float=y maxiter=1000 inside=fmod proximity=0.932 periodicity=6 mathtolerance=0.05/1 colors=000giWgkZgmafocfqffsifukbog_icXd`UZXRUUOOQL\ JNNMQPPSRSVTUXVX_X_aZbd`dfbghdjkfmmhopjrrluunxwozy\ jsqflibeaZZVVSNRLFNE7J70UCEdGSbMU`RW_WYY`ZWe`VjbTo\ dSteVufYvh`wjcxkfymhzneyocxo`woZwoWvpUupRupPtpMsqK\ sqHrqFqqDqqCokCmfCkaCiWCfRBSMBMGBCBB76B21G36K4BO5G\ S6LX7Q`7Ud8Zh9cmAhqBmuCryCvuEurFunHukIugJudLu`MuYO\ uUPuRQuZRdeROlR8fV7`Z7Vb7Pe6Ji6Dm68p6DnAImENkIRjMW\ hQ`gUeeYid`mbdpaht`lw_pzZtyXrxWqwVpvTouSntRlsPkrOj\ qNipLhoKfnJemHdlGclFbYD`KBZ6AX8F_9KaAOdBTfCXhDakEf\ mFjpGorHstLrpOqmRpiUpfXob_n_bmWemThlPkkMnjIqjFtiBw\ h8zh5vg6rf7ne8kd9gcAccA_bBXaCT`DP_EM_ELaFKbFJcFIeF\ HfFHgFGhFFjFEkFDlFDmFMnPUoYbofjporpxpouoornnolnmkm\ jjmgimeglbfl_ekXckVbjSajP`jNbfQccTe_WfXZhTaiQdkMgl\ JjnFmoCpq8sr5vs2yo3vl3si4qf4nb5k_5iX6fU6dQ6aN7ZK7X\ H8UD8RA9P79M49KGJLRTMaaNlkOwtOtqMqoLolKljJigIgdGda\ Fb_E_ZDXYCWWAUU9SR8QN7KF6 } 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========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;