; Date: Sun, 14 Dec 2003 12:23:39 EST ; From: JimMuth@aol.com ; Subject: [Fractint] FOTD 14-12-03 (Forever Fractal [7]) ; Id: <6a.39620341.2d0df69b@aol.com> ; --------- ; ; FOTD -- December 14, 2003 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today's fractal scene lies in the not-quite-imaginary land that ; is created when 1.3 parts of Z^(0.92) are subtracted from 1.3 ; parts of Z^(-1.08) and (1/C) is added instead of straight C. ; This parent fractal appears to the sense of sight as a twisted, ; stretched, pinched-off Mandeloid with a large bud on the north- ; west shore of the main bay. This large bud might or might not ; be the period-2 bud. I did not check. ; ; The shoreline of this large bud is crowded by unusually plenti- ; ful and unusually small sub-buds, each bud with a band of chaos ; stretching out and terminating in a flat disk. Today's scene is ; located near the terminal point of one of these bands of chaos ; on the west shore of the large bud. ; ; When rendered using the normal equal-iteration method, today's ; image is pretty boring, but the 'tdis' option (I should use this ; option more often) really brings it to life, giving the whole ; thing a kind of art-nouveau appearance, reminiscent of the turn ; of the 20th century. And curiously enough, the scene maintains ; its attractiveness when zoomed both into and out of. This trend ; could continue forever, which is why I named the image "Forever ; Fractal". ; ; When rating time arrived, I decided on a 7. It's an above- ; average scene, at least by my standards. And the render time of ; just over 5 minutes on my tired old machine is bearably short, ; at least for a Sunday, when many have nothing to do but watch ; the TV. ; ; Those who would rather not miss 5 minutes of that game may down- ; load the completed GIF image from: ; ; ; ; or from: ; ; ; ; The promised philosophy is already written, and will appear in ; tomorrow's philofractal version of the FOTD. ; ; Friday and Saturday were chilly here at Fractal Central, with ; temperatures both days just above freezing. But there was just ; enough sun to make outdoor life bearable for the fractal duo, ; who spent just enough time outdoors to prevent cat boredom. ; However, today started with heavy snow, which is just now ; changing to rain. I fear the worst moods might be in store for ; Thomas and Tippy. ; ; For me, the worst has been avoided. By working all day ; Saturday, I avoided the work back-up that was threatening. But ; there is still a bit of work to be cleared away before Monday, ; so until next time, take care, and be skeptical of things that ; are not true, while being wise enough to know the difference and ; tolerant enough to know that you could be mistaken. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Forever_Fractals { ; time=0:05:11.35--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.17434825437380250/-0.158570929431714\ 50/1.873532e+009/1/-52.5/0.000439570302683295333 params=-1.3/0.92/1.3/-1.08/0/0 float=y maxiter=1200 inside=0 outside=tdis periodicity=10 colors=000zzUzOOzLQzJQzHTzETyCUyAUy9Uw5Ww4Wu2Yu0Ys\ 0Zs0Zs0Zq0`q0`o0bo0bm0dm0dm0dl0`l0Zj0Yj0Wj0Uh0Th0O\ h0Mf0Lf0Jd0Hd0Gd0Cb0Ab09b07`05`04f00`02W07T0CM0HJ0\ ME0TA0Y50`20f00l00q00w00z02z04z05z07z09z0Az0Cz0Ey0\ Gu0Hs4Jq7LoAMmCOlz`jzhfzcdOWbTY`WZZZ`Y``WpWAqXErYH\ sZJt_Mu`OvaTwbWxcYyd`zebzffzgjzhlziozjqzkuzlyzmzzo\ zzozzqzzrzzqzzqzzqzwqzsqzmozhozdozZozTszWozYlzZjz`\ fzbdwd`sfZohWllUhmQdoO`qMYsOTuQOwSLyUHzWEzYAz_7za4\ zc0ze0zg0zi0zk0zm0m00Z00L00700000000000200500702A0\ 7C0AG0GH0JL4OM5VQ9_TMcWPfYRj_SoaUscWudZwcaxady_gzY\ jzWmzUpzSrzQtzOuzMtzKszIqzGozEmzCkz0iz0gz0ez0cz0az\ 0_z0Yz0Wz0Uq0Sj0Q`0OT0MJ0KC0IA0GA0G90G90H70H70H50H\ 50J40J40J20J20L20L00L00L00M00M00M00M00O00O00Q00S00\ U00W00Y00_20a40c50e70g92iC4jE5lG7nH9pJArLCtMEvOGxb\ HzqJzzLzzj0zlQ4jT9jTCjTGjUJjUMjUTjWWjWZjWbjWfhYhfY\ hfZhdZhdZhb`h``h`bhZbjZbj } 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==================================