; Date: Wed, 28 Aug 2002 00:00:47 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 28-08-02 (A Thorny Issue [8]) ; Id: <1.5.4.16.20020828000142.29bf5b02@pop.mindspring.com> ; --------- ; 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: ; ; ; ; and on Scott's site at: ; ; ; ; 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 PARAMETER 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 PARAMETER FILE================================== ; ;