FOTD 31-07-09 (Spiral Straightness [7])
FOTD -- July 31, 2009 (Rating 7) Fractal visionaries and enthusiasts: Today's image lies in the fractal that results when Z^3 is mixed with half as much Z^6 and straight C is added. The parent fractal resembles nothing as much as an over-decorated boomerang with a Mandeloid attached to its center. Though at first glance, the area where today's image is located would seem to be a Seahorse Valley, it actually is an East Valley, with the image located on the wrong side of the north branch of this valley. As is true of so many out-of-the-ordinary images, today's image is filled with holes. I named it "Spiral Straightness" when I was struck by the way the tight spirals suddenly resolve into eight elements with almost no spiral effect. The rating of an FOTD-average 7 indicates a continuation of the sameness that seems to be creeping into the FOTD images. But it's still an interesting image to see, even if the calculation time of 8-1/3 minutes is rather slow. Of course, the calculation may be avoided altogether by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Things were going well enough on Thursday until I waxed philo- sophical and began pondering the things that might go awry with teleportation. I imagined that the Enterprise's teleport device got stuck in an endless loop and before the error was corrected, created several copies of the same person on the planet's sur- face. This would be possible because teleport machines teleport only a field pattern and not an actual stream of individual atoms, which would probably be quantum impossible. If this duplication were to happen, the question would arise as to which teleported body, if any, held the continuation of the individual's stream of consciousness. Of course, each presum- ably conscious copy would claim to be the same person, but it is obviously impossible for the same person to be in several places at the same time. I surmised that this paradox most likely is a sign that teleportation is impossible, and booted Fractint. Lots of sun and a seasonably warm temperature of 86F 30C made Thursday a pleasant but unexceptionable day here at Fractal Central. The fractal cats yawned, stretched and went back to sleep. Except for the philosophical diversion, my day was average. The next FOTD will be posted in 24 hours. Until then, take care, and live in harmony with yourself. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= SpiralStraightness { ; time=0:08:22.02-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=ident center-mag=-0.4156458287859106/+0.003206070095215/\ 1.188422e+011/1/-37.5/0 params=1/3/0.5/6/0/0/0/0 float=y maxiter=12000 inside=0 logmap=1964 periodicity=10 mathtolerance=0.05/1 colors=000DaPD`QE_REZSFYTFYUGXVGWXHVYHVZIU_IT`JSaJ\ RbKRcKQdLPeLOfIV2JU5JU8JTBJTEJSGKSJKRMKRPKQSKQULPX\ LP_LObLOe9MuBNsCNrDNqENoFNnGOmHOlIOjJOiKOhBjgk`diY\ cgUadR`bO_`LYYIXWFWUCVYGWaJXeMYiPZjS_kV_kY_k`_dc_Y\ eZKgYSdcZaheZmdWldUkdSjdQidOhcMgcKfcIecFdcDcbBbb9a\ b7`b5_b3Zb1Zc3_c5`c6ad8bd9cdBdeDeeEeeGffHgfJhfLigM\ jgOkgPkcTb`XUX_LUcCRf4Pe9OeDMdHLdLKdQIcUHcYFbaEbfD\ bjBanAar9avA`rB`oC`lD`hE`eF`bG`ZH_WI_TJ_PK_ML_JM_F\ N_CO_9NaBNcCNeDNfENhFNjGNlHMmJMoKMqLMsMMtNMvOMxPMy\ QRg_WRhVRhTQhSQgQPgPPgNOgMOgIr2Jn7JkBJhFKeJKbNK_SL\ XWLU_LRcgFbaIdWKexeJlaHaYGQUEFQD4MC8OFBQIESLHUNKWQ\ NYTQ_VTaYWc`Zebagedihgkjjmmmoppqrssuvuxyvzruvltres\ n_rjTqgNpcGo_AnW4nT8jVBgXEcYI`_LXzOUzNSzMRzMQzLPzL\ Oz7mz8mz9mz9mzAmzBmzBmzCmzDmzcZzcZzcczchzcmvcrrcvm\ czkzzjzzizzizzhzzgzzSzzUzzWzzYzz_zz`zzbzzdzzfzzjzz\ izzhzzgzzGzzJzzLzzMzzNzzO } 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=========================================
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Jim Muth