FOTD -- April 27, 2007 (Rating 7) Fractal visionaries and enthusiasts: In today's FOTD image we take a journey to the world created when 12 parts of Z^(-1.25) are subtracted from 2 parts of Z^(-6.5) and (1/C) is added. The parent fractal created by this formula is shaped like a diamond, with a prominent 'fan' filling the eastern part of the open area. A rather curious area of indescribable chaos lies at the northern vertex of the diamond, where a filament extends from a Mandeloid bud into an infinite spiral. Today's image is located rather deep in this filamen- tary spiral. To add a little extra interest to the image, I rendered it with the 'inside' set to 'fmod' and the 'proximity' set to 1. About one-half of the image consists on 'inside' stuff, so it works quite well. The 'outside' parts are rendered in the usual 'outside=iter' manner. After admiring the image for a minute or so, I decided it was worth a rating of a 7. It seems a bit too gaudy for perfection, and this prevented a higher rating. The name I gave it -- The High Lifetime" -- has nothing to do with drugs, or with the image either for that matter. It is simply a phrase that popped into my head while I studied the image. The calculation time of 8-1/3 minutes is a bit slow. But all is not lost, for the completely rendered image is available for easy viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I got word today from my sister, who now lives at Old Fractal Central, that she will be away on a trip most of next week. This means that I will be spending most of next week back there with the old fractal cats, Thomas and Tippy, who are still quite well. Curiously, the old place still seems like the home base of the FOTD. I started the FOTD there, and posted it from there for the first nine years. If all goes well, the FOTD will be uninterrupted for the few days I will stay there, but the P133 computer I left there for such visits is near the end of its life. If it fails to start, I could miss a few FOTD's. No rain fell on Thursday here at Fractal Central, but the heavy clouds and temperature of only 52F 11C made things feel most un- spring like. The fractal cats must have agreed, for they showed no interest in the outdoors. My day was busier than average. The next FOTD will appear in a short 24 hours. Until then, take care, and be aware that fractals could encode the mysteries of existence. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= The_High_Lifetime { ; time=0:08:40.14--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.87134903167665070/+1.923143946266894\ 00/110446.1/1/-20/4.36972467654506147e-008 params=-12/-1.25/2/-6.5/0/1500/0/0 float=y maxiter=1250 inside=fmod proximity=1 periodicity=10 colors=00037P36R36R36T36T36V36V36M36V39bCGhMQpYYyh\ gzgfzgdzgbzgaze_zeYzeXzeVzeUzcUzcSzcQzcPzcNzbMzbKz\ bIzbGz`Gz`Fz`Dz`Cz`Az_9z_7z_6z_6zb7z_6zY6zW6zV6wT6\ pS6jQ6cO6YM6RL6LJ6FM6CI6AD69968364668AA9FNAJ_COmDQ\ kFSiFTgFVfFWdFYbF_aF`_F`YFbXFcVFeUFgSGhQGjFGlNGmHG\ nKGoIGpGGqFGrGGsCGtIGu6FvLGwFIwQIwQJwXJwaLtcLwnMzi\ MzwLznLzvLzsLzoLwkLwhJwfJweJvdJtbJsaJqaIo_ImYIlXIj\ VIhUIgUGeSGcQGbPG`NG_MGYMFWKFVIFTGFSFFQDF000QDFQFG\ QGJSILSKMSMPSNRTPVTPWTQYVS`VUbVVeVXfWYhW_kW_mYapYb\ rYctmzwmzymzzmzzmzz`izbgzgezccz`az__zWYzVWwSUrOSoM\ QkJOhIMeFKbCIYAGV7ER6CO3AL38G36D36A368364360361363\ 36436637939A39C3AD3CF3DI5FJ6GL7GM9IOAKRCMTDNVFPWGP\ YINWJNVLNTMNRONPONOQNMSNLTMJVMIVMGWMFYMD_MC`MA`M9b\ M8cK6eK4gK3gK1hK0jK0lK0mK0mK0lG0lF0jD0jC0hA0h90g70\ g61g61e63e63c64c64b66b66b68`68`69_69_6AY6AY6C`6AY6\ CW6CV6C3DM3CM3CO3AO39P39P } 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=========================================