; Date: Wed, 21 Apr 2010 23:29:03 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 22-04-10 (Steppes of the East [6.5]) ; Id: <1.5.4.16.20100421233103.2b4fa834@pop.mindspring.com> ; --------- ; ; FOTD -- April 22, 2010 (Rating 6.5) ; ; Fractal visionaries and enthusiasts: ; ; Today's iterated expression subtracts 1/4 part of (1/Z) from 3/4 ; part of Z^3 then adds straight C. The parent fractal consists ; of a group of large irregular but connected bays with some areas ; critical and some not. Like so many fractals produced by the ; MandAutoCritInZ formula, this fractal is impossible to adequate- ; ly describe in words. ; ; In this type of fractal, an orbit check is often the best way to ; see what kind of minibrots will be found in a given region. ; Today's scene lies on the shore line of a bay sprouting eastward ; from what appears to be the East Valley of a kind of Mandelbrot ; main cardoid. In the closest part of this bay the periodicity ; is 3; in the middle it is chaotic, while in the farthest part it ; is 8. Today's scene is located near the point where the periodi- ; city shifts from 3 to chaos. ; ; The greenish parts of the image consist of 'inside' stuff made ; visible by the 'fmod' inside fill. The mathtolerance entry was ; needed because the extreme magnitude of the image could cause ; the scene to calculate at a lesser magnitude, producing a wrong ; image. The terraced appearance was achieved by setting the ; 'outside' to 'tdis'. ; ; The rating of 6-1/2 shows my indecision. If I had worked a bit ; harder on the coloring, I might have been able to raise the ; rating to at least a 7. ; ; The name "Steppes of the East" invokes feelings of the Gobi ; desert, though I can see no logical connection between that part ; of the world and today's fractal. ; ; The calculation time of just under 2 minutes is not too slow. ; Neither is the trip to see the finished image on the FOTD web ; site at: ; ; ; ; A near-perfect day prevailed here at Fractal Central on Wednes- ; day. The hazy sunshine, gentle winds and temperature of 68F 20C ; made it feel almost like a day in June. But June turned to ; April at 6pm, when a gusty shower moved in from the west and the ; temperature dropped to 55F 13C. ; ; The fractal cats found a bit of excitement when Nicholas caught ; sight of a crow hopping around in the yard and Cassie came ; running to see what Nico was chattering at. The rest of the ; time the duo spent sleeping, chasing one another up and down the ; hallway and asking for food. The next FOTD, maybe better or ; maybe not, will be posted in 24 hours. Until then, take care, ; and be a fool. Being a fool is more fun. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Steppes_of_theEast { ; time=0:01:57.76-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.9225736401877659/-0.1695063536240019\ /1.96e+013/1/-152.5/0 params=0.75/3/-0.25/-1.0/0/0\ /0/0 float=y maxiter=1500 inside=fmod outside=tdis proximity=0.5 periodicity=6 mathtolerance=0.05/1 colors=000MW_SSXYOVcKSiGQoDOW65bPyfMxjKxnHxrFxvDxv\ Ptv`qvlmvxjisiYniMiiAeiEhaHjVKmONoHQqAVjF_cKcYOhRT\ mKYqEav7fx1jr2di2ZZ3TY3NS4UR4SKAPKFOK0KK08JU7MZ6zz\ DzmMzmVzmczPzzmzzVzzmIzWzzmzpWzpXzzXzqXzkTzfPz`LzW\ IkQEkLAjG7jTMbVJYWHTYFPZDK`BFa9Bc76d52`tURYbHCkCI_\ 8OP4UE0Z36_2C`2H`1Na1Sa0Yb0bb0v`8uc6tf4si2rk0ta7uS\ DvIKw8QURzUUzUXzU_zUbzUezUhzUkzUnzUqzUtzUwzUzzOKQQ\ KQSKQUKPWKPYKP_KPaKScKUeMXfOZgQahTclVfpYht_kwamnej\ eigYme_nc`nabn_cnYenXfnVgnTioRjoPloOmoMooKpoIqoHpX\ XpFknMcmTXl_PjfIimAht3iq4in4il5ji5jg5jd6ZHLZMPZSUZ\ XYYbaYhfYmjYsnYxrLeNOcLRbJU`IX_GZYFaXDdVBgUAjS8lR7\ jP9hNBgLCeKEdIGbGHaFJ_DKYBMXAOV8PU6RS5TR3UP1WO0XR2\ WU4WX5W_7Wb9VeAVhCV30g93cE5`K7YP9VUBS_DPdFMiHJmLGp\ ODsSAvV7kS7aQ7SN7IL78J79I6AH6BH5BG5CF4DF4DE3EE3FD2\ FC2GC1HB1HB1IE4IH7IKAINDIQGITJIWMIYOGTOEOOzzOKzGzz\ 8NgCz_GzzJz_OKWiF_fAcdG_a } 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 ;