; Date: Thu, 24 Oct 2013 17:25:25 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 24-10-13 (Carnival of Fractals [A-8,M-6]) ; Id: <1.5.4.16.20131024172655.2bdff532@earthlink.net> ; --------- ; ; FOTD -- October 24, 2013 (Rating A-8,M-6) ; ; Fractal visionaries and enthusiasts: ; ; Today's fractal subtracts 0.2 part of Z^3 from Z^2 on each ; iteration before adding C. The resulting Julibrot has two ; critical values, one at zero, the other at +3.333... The two ; values create the same parent fractal -- close to normal ; Mandelbrot sets that are oriented at 180 degrees from each ; other. Today's image lies in the parent fractal that results ; when Z is initialized at +3.333... ; ; This parent is the Mandelbrot set rotated 180 degrees. It has ; an interesting stem extending west from East Valley and another ; stem extending east from the main bud. Today's scene lies near ; a larger minibrot on the eastern stem, which is along the ; positive X-axis and has characteristics of the negative stem of ; the M-set. ; ; The name "Carnival of Fractals" came to me as I was wondering ; whether to tone down the colors. I finally decided to leave the ; colors quite brilliant, which seems to work quite well. ; ; The art rating of an 8 shows that the image is well worth the ; 1-3/4 minutes required to calculate it on one of today's ; fireball units that has not lost the ability to run DOS ; programs. Those addicted to things like smart phones and apps ; are out of luck . . . I guess . . . But don't worry, for the ; web sites are always ready to charge to the rescue and bring ; enlightenment. The math rating of a 6 shows that nothing new is ; in the mathematical aspect of the image. ; ; So achieve enlightenment, whatever that might be, by viewing ; different versions of the finished image on the web sites at: ; ; ; ; ; ; ; ; ; ; A mix of clouds and sun, with more clouds than sun, prevailed ; here at Fractal Central today, while the temperature of 46F +8C ; kept the proper pre-Halloween chill in the air. The fractal ; cats who are now just starting to accept each other, had little ; time to notice the weather. The newcomer, who we have named ; Jasmine, (Jazzy for short), is now large enough to leap onto ; many of the old fractal cat's (Nico's) favorite spots. Nico is ; not too happy with Jazzy taking over his napping chairs, but he ; does not seem too angry either. The humans are mostly letting ; the dynamic duo work things out for themselves, ready of course ; to intervene if things threaten to get out of control. ; ; The next FOTD will most likely be posted in about 24 hours. ; Until whenever, take care, and the United States, usually ; referred to as America, is not only the greatest country on ; earth, but it is always right. And any country that fails to ; agree had better watch its step. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= CarnivalOfFractals { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+1.655267462218993/+0.00001248433946918\ /2.642538e+010/1/117.5/0 params=1/2/-0.2/3/0/0/0/0 float=y maxiter=1500 inside=0 logmap=-122 periodicity=6 mathtolerance=0.05/1 colors=000K0OJ0MI0KH0IG0GF0EE0BD08B05902600300000m\ rzT7fUFmUOeKGSA8EzKKe6PV4IL3CA16JVkmcmdzYgzzd0KK0K\ 00K85AyXSt2RS1DpWyQGVzgpzzzzzQzCzhzzQ3Lc4GK2821iIe\ zDQz9Kd45nUE3jsN_aVIJFP50I30C20610iHoN8QakuPWaCGJ0\ SA0E5QjdJZUDNK6BAyxKTFEE77dUNUMHKFBA75ypHdZBKH5YCL\ M8EB47t1CtHvAUZ5FH2tW1eO1SG0E85q`3cR2RI1D9hs8sFk`A\ WI5GmyePVLIKXsiA`U6IF3J0AC06603C5E8pl6b_4QO2DCUUXF\ FGAtO6aG3J85aZ3SQ2JH1984SA2E5BtK7aD3J6A7mzzXzzGzzL\ zzEzz7zzvzzgzzTzzEzzdzzpzzQzzzzzVzz6zz4zz3zz2zz1zz\ VzzKzzAzzzzzjzzVzzFzzvzzTzzpzzZzzHzz`zzUzzUzzUzzUz\ zUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzczzczzczzczzc\ zzczzczzczzczzczzczzczzczzczzczzczzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 ;