FOTD -- May 28, 2005 (Rating 5) Fractal visionaries and enthusiasts: The recipe for today's image is a simple mixture of Z^3 and Z^5, with a little C added for flavor. The result is a scattering of fractals, the largest of which has open areas with four lobes strung along its main stem, which in this case points north. These open areas have tiny straight filaments radiating from them. I checked a filament radiating from one of the very small open areas near the tip of the stem, and found today's fractal. The midget at the center is standard enough. The nearly- straight star-studded filaments radiating from it are what makes the image worth being declared FOTD for May 28. Actually, with a rating of only an average 5, the image kind of sneaks onto the honor roll by the skin of its teeth, but even a 5-rated fractal is worth 3 minutes spent in calculating it. As I tried to think of a name for the image, many cute and artsy phrases came to mind and were quickly discarded. I finally settled on the name "Fractal Friday" in honor of the day on which I found the image. I realize that the image will not be posted until Saturday, and not seen by some until Sunday, but the 'Friday' name is the one the image will forever bear. There are two ways of seeing the Friday fractal: first, by running the included parameter file and waiting a few minutes; second, by downloading the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Lots of sun, gentle breezes, and a temperature of 81F 27C made Friday a perfect day for the fractal cats, who spent over 6 hours in the yard. Today is starting much the same, but I see showers in the forecast for later today. For me the day looks very slow, which is the way I like it. The next FOTD will appear in 24 hours. Until then, take care, and be lively. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Fractal_Friday { ; time=0:03:11.64--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.00900244971839993/-0.673234783574483\ 20/6.237726e+012/1/-0.238074244069548191/0.2380742\ 440695485 params=1/3/0.2/5/0/0 float=y maxiter=1500 inside=fmod proximity=0.26 outside=tdis periodicity=10 mathtolerance=0.05/1 colors=000kz00z06z0Iz0Tz0Tiz6vxOzOrzzmz`gzCEMGOg6V\ z0zddxzEzpmrzIPOrZdi`zGv0VnRGgt08z0Gz0Oz0Vz0zzkzzR\ pz64O0Mr0VzeZzO`z4zt000m00r00v20xP0xk0xz0xz0xz0tzI\ pzZmrniize`zbbzTbzKdzAdz0dz0PeKA`i8Xd8IZ82T80P00V0\ 6`0Gd0Gi0Gm0Gp0Gt0Gx0Gz0Gz2Gz4Gz8GzAGzCKzCOzERzEVz\ GZzGbzIezIizKmxKptMtrMxpOzkOzgOzbOzZOzTOzPOzKOzGOz\ CKG0`RCbk2bz002M2VAMv0z20`X00x00t00r00p00g60``0gz0\ mzAvzTn0KzbTzCzn0zx0zz0nz0zxerzE0K`8eKOz2mmzizgezG\ 0008P0Or0d4zbPgbiPbz6z0zzGzxbbmzC4bzMzZz0zvGtnbZgz\ AptbizCvKzkp`mCXgmARzxXzOvz8pz2kz0ez0zzixzG0OT6gEO\ z0xbzprpizKz`znxZmzmEvVOzGVz0RzkVzXXzI`z2z0RpKEip0\ z0gx6TpXGiv0O6PRRGVi6Zz00gzzm2zz0nz0zk8zt2rz0iz0VK\ zZpVIz8Tz000ZAbAzC0xV0pm0iz0z400p60gg0rTEzGRz0zdmz\ nXzzInz2000060AX0Pv02zKGz8Rz0IzE0A`0`KKx2znOnzzgzR\ z0bvIMkn4gzOdz4MidVzEzz`nr4iz0ez0K0zRMtXpMzznxzTmz\ 8Gv0g02zvTzzEnz000nzMKvg8 } 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=========================================