FOTD -- March 29, 2007 (No Rating) Fractal visionaries and enthusiasts: The formula behind today's image combines 5 negative parts of Z^(-1.1) with 0.1 negative part of Z^(-11.1) and adds (1/C), resulting in an oversized parent fractal consisting of 4 large bays and a very prominent 'fan', the whole thing surrounded by cut-off rings of various shapes and sizes. Today's image lies in a field of debris just east of the 'fan'. I gave the image no name or rating. Due to the winding-down but still pressing rush, I gave the image too little time and effort to honor it with a name. I might have rated it at a 4 or 5, but decided to let it go un-rated. The calculation time of 3-1/2 minutes means that little time will have been wasted if the image disappoints. And almost no time will have been wasted if the image is viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> In a few days I will discuss the use of the MandelbrotMix4 formula, paying special attention to the method I use to find good parameters to enter into it. But to begin the discussion right now, I might re-phrase the question into something like, "how do I recognize a good parent fractal when I see one?" A cooler but still mild day with a temperature of 59F 15C here at Fractal Central on Wednesday went un-appreciated by the fractal cats. They were more interested in watching the local squirrels make more squirrels. In my department the work is almost back to the normal amount. One or two more days should just about do it. The next FOTD will appear in 24 hours. Until then, take care, and be of sound mind and body, but don't make too much noise while you're doing it. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= FOTD_for_Mar_29_07 { ; time=0:03:32.45--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+7.81582291647887900/+0.263607712474751\ 30/249.6664/1/25/1.13533467349657968e-010 params=-5/-1.1/-0.1/-11.1/0/0 float=y maxiter=750 inside=0 logmap=49 periodicity=10 colors=000WLuZJv`GyZIxYJxWLxVMxTNxSPxQQxPSxNTxMUxK\ VxJXxIUxHVuGUrFQoERlDMiCJfBHdAFa9CZ8AW78T65Q03N01L\ 04IA6FA8CIA9SC6WE3_G1cL4hP7mT9rXCv`EzeHziKzmMzqPzu\ RztUztczzmzzzzzzzzmztcztUvtTqjPlaLgTIbKEZBBRI8JP6B\ W44z25z66zA7zE8zH8zL9zPAzSBvWCr_CmbDhcEccFZdFUdGPd\ HKeIFeIAfJ8fK9fL9gLAgMAhNBhNBhMCeMDbME`LEYLFVLGTKH\ QKHNzzLJJIzzFJKDzzAIM7zz5vz9rzCmzFhzIczLZzOHjRKfWM\ b_OZcRVgTRkVNoXJsVNqURpTUoSYmRalQdkPbjPajP`iP_iPZh\ PYhPXhPWgPVgPUfPTfPSePRePQeELwDMtDMqDNnDNkDOhDOeCP\ bCP_CQXCQUCRRCROCRLDSODSRETUETXFU_FUbGVeGVhHWkHWnJ\ XmLXmMXlOYlPYkRYkTZjUZjWZiX_iZ_h__ha`db`ac`YeaVfaR\ gaOhaLgeHghDPVV6Hl7Km8Nn9QoATpAWpBZqCarDdsEgtEjtFm\ uGpvHswHuwKvxNwyPxzSyzVzzXzz_zzbzzdzzgzzizzjzzjzzj\ zzjzzkzzkzzkzzkzzkzzhzzfzzczzazzZzzXzzUzzSzzPzzNzz\ LzzJzzHzzFzzDzzBzz9zz7zz5zz4zz9zzDzzHzzLzzPzzIzzGz\ zEzzCzzFzzIzzLzzOzzQzzTzz } frm:MandelbrotMix4 {; 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, 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=========================================