FOTD 23-11-09 (Fractalish Image [6])
FOTD -- November 23, 2009 (Rating 6) Fractal visionaries and enthusiasts: There is no FOTD for November 22. The reason -- another Satur- day antiquing expedition. But FL picked up a 600-dollar clock in perfect working order for 55 dollars, so the day was not a total loss. The FOTD for Nov 22 was a total loss however, and the loss can only partially be made up for with today's FOTD for Nov 23. Today's image is a scene very deep in the East Valley of the Mandelbrot set that results when quadratic and cubic elements are combined in a certain way with the AllNewDivideBrot formula. The image is mostly cubic, though the number of elements surroun- ding the minibrot increases in a rather irregular was as the minibrot itself is neared. I see rings of 3,6,9,12,18,etc elements, all of them without the discontinuities that usually spoil such mixtures of exponents, but none of this truly earns the rating of a 6. The name "Fractalish Image" says it all. The calculation time of 5-1/4 minutes is surprisingly brief for a scene of such high magnitude. And the finished image is also posted for instant joy on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Saturday and Sunday were similar here at Fractal Central, with lots of clouds, a temperature around 52F 11C, little sun but no rain. The fractal cats were mildly discontented on both days, while I was more satisfied on Sunday than on Saturday. The next FOTD will be posted in 24 hours. Until then, take care, and walk in the surface of a hyperplanet. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Fractalish_Image { ; time=0:05:13.57-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=+0.2788746941441006/+0.0024035667825432\ /2.709886e+012/1/-122.5/0 params=3/30 passes=1 maxiter=5000 inside=0 logmap=556 periodicity=10 mathtolerance=0.05/1 colors=000TFiTHiSJiSLiRNjRPjQRjQTjQVjNXfLYcIZ`G_YE\ `VBaRAaOF_LKXIYUFZRJeMNi7Re8Ma9HZADVB8SC4QH8OKBNNF\ LQIKTMIWPG_TFbWDf_CibAmf8pi7tm5wp4ys3xr3vr3uq3sq2q\ p2pp2no2mo1ko1in1hn1fm0dm0cl0al0`l1Yj1Wh1Ug1Se1Qc1\ Ob1M`1K_2HY2FW2DV2BT29R27Q25O23NHDQWNSjXVxfXweZwe`\ webwedveevegveivekvemuenuepueruetueuvdmvcfvb_s_ZpX\ ZmVZjSZhQYeNYbLY_IYYGYKQQ6_I9aHCcHFeHHgGKiGNkGPlGS\ nFVpFYrF_tEbvEexEgyEkrNnkWrdduYmxSvtTsqTqnTokUmhUk\ eUhbVf_VdXVbUW`RWYOWWLXUIXSFXQCXOMb_Whjdnucjpcglbd\ hbadbZ`aWXaTTaQP`NL`KH`HD_E9_B5_81dICiRMn`Xzlfzwpt\ pnqbmj`llmjjligrvdvfbrz_gdYfbVdaSc`QbZNaYL`XQaTVaP\ _aMcaIhbEmbBrb7vb4wa5w`5w`5x_5x_5xZ5zm5zm5zm5zm5zm\ 5zm5zm5zm5zm5rRDkOKcKSXHZPDfIAmB7tDArFCqHEpJGnLImM\ KlONjQPiSRhUUfWWeXYdY_cZab_ca`f`ai`bl_boZcrYduXexX\ fzWgzVhzUhzUgzWfzXezZez_dz`czbczcbzeazfazg_zbYzZXz\ VVzRTzMSzIQzEPzAQzHUzhUzh } 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=========================================
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Jim Muth