; Date: Sun, 14 Oct 2007 09:07:37 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 14-10-07 (Mysterious Hexabrot [No Rating]) ; ; Id: <1.5.4.16.20071014090840.2a2f13ce@pop.mindspring.com> ; --------- ; ; FOTD -- October 14, 2007 (No Rating) ; ; Fractal visionaries and enthusiasts: ; ; Today's quickie fractal was found with so little effort that I ; could hardly give it a rating. Before I entered the parameters ; I knew that the parent fractal would be a Mandelbrot set rotated ; 180 degrees, with a prominent spike extending from its East ; Valley as well as from its west end. And I knew that a strange ; little Mandeloid would lie on this extra spike. ; ; This strange little Mandeloid has a string of 5 extra bays ex- ; tending from its west end, and curiously, the largest of these ; bays lie farthest from the main body of the Mandeloid. Today's ; scene lies rather deep in the southern branch of the valley sepa- ; rating the fourth and fifth bays, which are the two largest. ; ; I named today's image "Mysterious Hexabrot" because the pattern ; around the minibrot consists unexpectedly of 6 lobes rather than ; the usual 4. I am finding this particular oddity more and more ; often in my travels through the fractal backwoods. I have no ; idea what it means, though I imagine that some mathematical ; genius somewhere on earth has already answered the question. ; ; The only thing not super quick about the image is its calcula- ; tion time of just under 4 minutes on the nuclear P4-2000mhz ; machine. The tired old P200 unit, which is still in fractal ; service, would take about 25 minutes to do the job. ; ; Taking all this time into consideration, I recommend viewing the ; finished image on the FOTD web site at: ; ; ; ; But because of the unusual post time of this FOTD, I would give ; Paul a couple hours to calculate the image and post it on the ; web site. ; ; Brilliant sun and autumnal temperatures in the 50's F, or around ; 13C, prevailed at Fractal Central on Saturday, making it a most ; pleasant day to be outdoors. While F.L. and I were outdoors, ; the fractal cats were having an equally pleasant day indoors. ; But they still demanded an extra treat when we returned in the ; evening. The next FOTD will appear on schedule in 12 hours or ; so. Until then, take care, and we will never solve all the myst- ; eries of existence until we discover them. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= MysteriousHexabrot { ; time=0:03:55.08-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=-1.9597975605951/-0.0184877289191/4.841\ 299e+008/1/-45/0.00032688 params=1/2/-0.2/3/0/0/0/0 float=y maxiter=10000 inside=0 periodicity=10 colors=000Q`C2ttLwxczzuzzpyxkvrgtlbqeZo_UlUPiNLgHG\ dBCb5B_CAYIAWO9UV9S`8Qf8OlARnBUoDWpEZqF`rHcsIftKhu\ LkvMmwOpxPsyRuzSxzTzzUtwVmrWhmWciX`dYZ_ZWVZTR_RM`P\ H_MDZIBWJEQOGOSJQXLR`NTeQUiSWnUXrXZwZ_z`YybWwdUvfS\ thRsjPqlNpnLnpKmrIktGjvEhxDgyKeomLkhPicThZXgU`fZNS\ XQUWTWVVYTY_S_aRbcxUKsWNoXQjZTf_Vb`YYb`UccfUuY_mMv\ cE6zGCxIItKOpMUlO_h4ChFRfLZuM`qNanObkPch6n`9laCkbF\ icIhcLfdOeekkvmpjiniflhbjg_igWgfTeekupepm`ljVhgvXI\ mZOQEkNEqJLlFShBYdBVaBS_BPYBMWBJUBGSBDQDJRFORHTRJZ\ RLcRNiROoRTuVXzZbsahlcneetZgzTiW`X2hKSdcbm`_kaYjbW\ hcUgdSeeut5xOzsRwnTtiWqdYn_`kVbhMQRNTUOVWOYZP_`Qbc\ X2_`feZeeXeeWeeUdeTdeRde2as6bq9boDcmGckKdiDq9HpAKp\ BOpBRpQ9AS9BU9CW9DY9E_9Fa9Gc9HeCLfFOfISfLWgOZgRbhU\ fhWihTkgRlgPmgMngKogIqgFrgDsgBtg9ugCrdFobIl_LiYNgW\ TcTY_RbXPhTMmQKrMIwJGaMEGODKRJNTPQVVQWTQWSQXQQXPQY\ OQYMQYLQZKQZIQ_HQ_GQ`EQ`D } 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========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint