FOTD 12-02-10 (Pi in the Formula [6])
FOTD -- February 12, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image is late. No excuse. I simply never felt like writing a discussion. Forget + and - Epsilon! We have moved on to + and - Pi. The Pi parent fractal is basically the same as the Epsilon, with today's scene located on the northern edge of the wedge where East Valley would be expected. The rating is another 6, and why not? The image is of average quality. Ten years or so ago, today's image might have rated a 7 or an 8, but while the world of fractals has moved on, the FOTD images have remained pretty much the same. Actually, I have had my share of 'progress'. The definition of progress is an advancement toward a goal, and I seem to have lost track of the goal. Oh well, if so many think progress is such a great thing, who am I to differ. And what would be the alternative? . . . Regression? (Maybe this would not be as bad an idea as some would have us believe.) My first idea of a name for today's image was 'Pi in the Sky' but I suspect I might have already used that name, so I named the image "Pi in the Formula". The calculation time of 6-1/2 minutes is slower than recent images, but still fast enough to avoid wasting too much time. And no time at all will be wasted when the finished image is viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Total sunshine here at Fractal Central on Thursday made the fresh snow sparkle. The temperature of exactly freezing made it pleasant to enjoy the sparkle. The extra serving of tuna and cheddar made the fractal cats' eyes sparkle. My eyes sparkled this morning when I finished the snow-removal job and came inside to find FL had prepared a large mug of hot chocolate topped with whipped cream. The remaining eyes will hopefully sparkle when they see today's fractal. If not, perhaps tomorrow's fractal will do the job. For continuing sparkle, check back at this same spot in about 24 hours. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Pi_in_the_Formula { ; time=0:06:25.51-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinalDivideBrot function=recip center-mag=+0.3686175025182685/+0.0374022990253012\ /3.491618e+010/1/-22.5/0 params=3.14159265358979/\ -3.14159265358979/0/0 float=y maxiter=12000 inside=0 periodicity=6 mathtolerance=0.05/1 colors=000`7Fc7Cf7Gi7JlDMoIPrOSuUVxZYzd`zjczofznez\ ndznczmbzmazm`zl_zlZzlYzkXzkWzkVzjUzjTzjSziQziPziO\ zhNzhMzhLzgKzgJzgIzfHzfGzfFzeEzeDzeCzdBzdAzd9zc8zc\ 7zc6yb4zpkzokzojznjznizmizmhzlhylgxkgwkfvjfujeties\ idrhdqhcpgcogbnfbmfaleakeajd`id`hc_gc_fbZebZdaYcaY\ b`Xa`X`_W__WZZVYZVXYUWYUVXTUXTTWSSWSRVRzpkzokzokzn\ kzmkzmkzlkzkkzkkzjkyikyikxhkwhkvgkvfkufkteksdksdkr\ ckqbkpbkpakoakn`km_km_klZkkYkjYkjXkiWkhWkgVkgVkfUk\ eTkdTkdSkcRkbRkaQkaPk`Pk_OkZNjzpjzpizpgzpfzpezpczp\ bzp`zp_zpZzpXzpWzpUzpTzpSzpQzpPzpNzpMzpLzpJzpIzpGy\ pFypEypCxpBxp9xp8wp7wp5wp4vp2zokzmkzlkxjkviktgkrfk\ zpjodjmcjkaji`jfZjdYjbWj`VjYTiWSiUQiSPiPNiNMiLKizW\ SzUQzTPz70z90zB0zC0zE0zF0wH0tI0qK0nK0kK0BK0hK0gK0f\ K0eK0cK0aK0_K0YK0WK0VK0WK0WK0WK0WK0XK0XK0XK0XK0XK0\ YK0YK0YK1YK2YK2fL0H70H70H80FB0IE0KG0NI0PK0RN3UP6WR\ 9YTC`WFbYIe_LgaOidRlfUnhX } frm:FinalDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1)+0.00000000000000000001: z=(-b)*(z*z*fn1(z^(a)+b))-c |z| < esc } END PARAMETER FILE=========================================
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Jim Muth