FOTD -- September 20, 2011 (Rating 8) Fractal visionaries and enthusiasts: Today's image has claimed to be the best of all time. That's the impression I had when the name "I am the Champion" came to mind. The rating of an 8 is well above average. It's nearly of championship caliber, but then so is the team that loses the championship game. The parent fractal came about when I subtracted 1.1 parts of (1/Z) from 1.1 parts of straight Z then added (1/C) on every iteration. These parameters are pure whimsy; the resulting image is not. The parameters produce a very distorted Mandelbrot set with its incredibly shrunken main bud and spike pointing south and its grossly overblown East Valley on the north side. Today's scene is located in a minor sub-bud on the west shore line of the main bay. (The distortion of the parent fractal may be increased or reduced by tweaking the parameters.) To achieve the final effect, I used a very broad color palette on the outer parts of the image and a random palette on the inner parts. The prominent minibrot at the center lacks total definition. An increase in the maxiter will increase the definition of the minibrot but will also spoil the coloring. The calculation time of 4-1/3 minutes is slightly slow, but at least in my opinion, the image is worth it. Those who would rather avoid calculation may view the finished image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The image is available in glorious high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original web site may be accessed at: <http://www.Nahee.com/FOTD/> Clouds and a few showers made today less than perfect here at Fractal Central, while the fractal cats said the temperature of 72F 22C was near perfect. The humans had too many other things to concern themselves with than to worry about a few showers. The next FOTD will be posted in 24 hours. Until then, take care, and there are only 458 days remaining until the world comes to an end. (Maybe I'll start a doomsday countdown clock.) Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= I_am_the_Champion { ; time=0:04:21.78-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.4851545446762787/+1.193349813944747/\ 2.2334e+010/1/-27.5/0 params=1.1/1/-1.1/-1/0/0/0/0 float=y maxiter=2400 inside=0 logmap=406 periodicity=6 colors=000Q4eR5dS6dT7dT8dU9dVAdWBdWCdXDdYEdZFdZFd_\ Gd`HdaIdaJdbKdcLddMddNdeOdfPdgQdfRcgQdhQdhQeiPejPe\ jPfkOfkOflOgmOgmNgnNhnNhoMhpMipMiqMjrLjrLjsLksKktK\ kuKluKlvJlvJmwJmxImxInyInyInzHmzHmzGlzGlzGkzFkzFjz\ FjzEizEizFmzEizDfzDczC`zBYzBVzASz9Oz9Lz8Iz7Fz7Cz69\ z56z53z64z75z86z97zA8zB9zCAzDBzECzFCzKXzF_zAbgRf`M\ _TITMDLE9E747ltccjXWaQOSKGJD896FHJBCE789344SJXMFQG\ BJB7D536JwfEhW9UL4FA0D_06Iqu4qMjcGZRBND5BhgtXXeMMS\ BBEi_INI9PsyLlqIeiFZaCSV9LN6EF377wCdsm_keUcZPWSKOL\ FGEA875gsmT`XEIGZggSZZLQQEHH788_JRI9DCiUAaP8UK6NF4\ FA275DD_66IEIguKyuIPbfzQSeDELsof`YSIHEnoFPQ7_WYURT\ uIzoKqcGcU9UK4_bKXYHRTFMOCGJABE7695A425x`xUIU7Fa6D\ X5BS49N37J25E139014LSvIOnFLgDH_AET7AM57E237bxsVkgN\ _XFOM7CBDuoBlg9d`7XT5OM3GE1879lH6WB3U5PUgKU_GUTCUM\ 8UE4U79Ur7cj6cb5cV3mN2mF1m7czrczjczbczVmzNmzFmz7zz\ czzWzzOzzGzz8zzXzzSzzOzzK } 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=========================================