FOTD -- August 28, 2002 (Rating 8) Fractal visionaries and enthusiasts: The parent fractal of today's image is closely related to the parent of the image of Aug 26th. Negative portions of Z^(-2) and Z^(-3) are combined before (1/C) is added. The resulting fractal consists of a large central bay with a non-critical cloverleaf-like island at the center. This cloverleaf holds little of interest, but the western shore of the bay features a very prominent sub-bay, with critical buds and filaments. The filaments are not the simple jagged lines of the M-set filaments, but are twisted into loops and rings that hold countless midgets. Today's midget lies in a branch of a tiny ring near the tip of a filament. Actually, the midget is not there at all, for the escape radius of a full googol has totally evaporated the outside material, leaving only a blank inside of trapped points. But all is not lost. The inside fill of bof61 has revealed the ghost of the midget that once was there but now has gone. Curiously, the bof61 inside fill is the only fill that produces such a fine image. I think the bof61 fill colors the inside points according to which iteration comes closest to the origin, but I'm not sure. Regardless, the image rates an exceptional 8, which is the highest rating in several months. The name I gave to the image, "A Thorny Issue", is totally whimsical. The phrase simply came into my head as I studied the scene. (I'll bet a psych-something or other could learn a lot about my secret unconscious life from the titles I sometimes half-consciously give to my FOTD's.) The 3-minute render time of the parameter file is fair enough. A download of the finished image is even fairer. The completed image may be found on Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and on Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather here at Fractal Central on Tuesday featured morning sunshine followed by increasingly thick afternoon clouds and a high temperature of 86F 30C. The duo of fractal cats must have approved, for they spent several hours prowling in the holly thicket at the bottom of the back yard, cleverly avoiding the burdock burrs and thistles that, despite all attempts at eradication, still grow there. And if I'm to avoid a late start in the morning, I must soon shut down the fractal shoppe and call it a night. Until the next mind-boggling FOTD appears on Friday the 30th, take care, and be as happy as the fractal duo. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ A_Thorny_Issue { ; time=0:03:39.15--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-6.779241253387853/+2.975306275944614/2\ .396909e+008/1/-87.5/-1.68222442726295718e-005 params=-0.5/-2/-0.1/-3/0/1e+100 float=y maxiter=295 inside=bof61 logmap=40 periodicity=10 colors=000hhzhhzhhzhhzlRrU_EPV9TRARRASKAPGATDAaPJi\ _Srj`zuiirVUpHM_XYlcirjuwpnrlhmhahdWc`QZXJUTDPP7LM\ I`wSbs`dojfksghreeqcbpa`o_YnYVmWTlVQkTNjRLiPIhNFgL\ DfJAeH7dG5cFAbEEaDJ`CN_BSZAWY9`Y8dX9eX9fXAgXAhXBiX\ BjXCkXClXDmXDnXEoXEpXFqXFqVy4Xw8ZvC`uFatJcsNerQgqU\ hpYjo`lndnmholkmihmgemebmc`maYmZVmXSmVQmTNmRKmOHmM\ FmKCmI9mG6mE4mG5mI6mK6mM7mO8mQ8mR9mTAmVAoXBqZzs`zu\ bzwczx`zxYzyVzySzyPzzSzzVzzSzzPzzNzzKzzHzzFzzCzz9z\ z7zzCzzGzzKzzPzzTzzXzz`zzezzizzmzzqzzhzz`zzTzzUzzV\ zzWzzWzzXzzYzzZzzZzz_zz`zzazzazzczzezzgzzizzezzazz\ YzzUzzRzzNzzJzzFzzCzz6zz1zzFzzSzzPzzNzzLzzOzzRzzTz\ zWzzYzz`zzbzzezzhzzjzzmzzozzrzztzzwzzyzzuzzrzzozzl\ zzizzfzzczz_zzXzzUzzRzzOzzLzzIzzFzzGzzGzzGzzHzzHzz\ HzzIzzIzzIzzIzzUzzUzzUzzVzzVzzVzzWzzWzzWzzWzzXzzXz\ zXzzYzzazzYzzYzzZzzZzzZzzZzz_zz_zz_zz`zz`zz`zz`zza\ zzazzazzbzzbzzbzzbzzczzcz } 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 20.0 PAR-FORMULA FILE==================================