FOTD -- September 15, 2004 (Rating 8) Fractal visionaries and enthusiasts: To create a good fractal, one must put adequate effort into coloring it. I did put some effort into today's image, and it shows. As a result of the coloring, the image rates an exceptional 8. I named it "All in Order" because I am more satisfied by it than I have been with recent FOTD images. Another thing helping the image is that I rendered it with the outside set to 'real'. The 'real' option adds the real value of the escaping points to the iteration count. The effectiveness of this option varies from image to image, but in today's case it works very well. The formula behind the image combines some Z^(1.2) with some Z^(-1.2) before adding (1/C). The resulting parent fractal is divided into two parts, (much as all Gaul was divided into three parts). These two parts are a very distorted Mandeloid on the left and a less-distorted Mandeloid on the right. The Mandeloids are surrounded by much fractal debris filled with action, though this debris did not enter into today's image. Today's image is located near the tip of a side branch of a filament extending from a sub-bud on the northern shore of the main bud of the less-distorted Mandeloid. Scenes in fractals are almost always *near* points, such as the tips of filaments. Due to the unending nature of fractals, it is impossible to find exact points. The sought-after point runs away as fast as it is zoomed in on. A good example of the futility of such a chase is to try to find the 'last' midget on the main negative stem of the Mandelbrot set. When adjusted for the render time of 12 minutes, the rating of 8 gives an overall value of 66. But wait! Running the parameter file is not the only way of seeing the image. Today's fractal is available for download, pre-rendered, on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Monday was sunny with a temperature of 84F 29C. The cats were quite happy. Tuesday was cloudy with showers in the afternoon and a temperature of 75F 24C. The cats were not so happy, and showed it by tearing up a faxed message as it came in. Even in their senior years, the fractal cats are fascinated by the fax machine. Luckily, the message was fax spam, offering me a reduced rate on my next shipment to Taiwan. Since I have no plans on shipping anything to Taiwan in the foreseeable future, the cats were exonerated. But this morning it is raining again. Can the cats stay out of trouble? The work is actually slowing down here at F.C. This can only mean that soon the fractals will not only be more plentiful but of higher quality as well. I might even have a chance to philos- ophize. But for now, the FOTD will remain on an every-other-day schedule. The next image will appear on the 17th. Until then, take care, and don't disappear into a fractal bottomless pit. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ All_in_Order { ; time=0:02:12.48--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.14252826650251640/-0.175463338060394\ 10/1.599043e+010/1/-25/-0.00126547193317334133 params=-2/-1.2/1.9/1.2/-1.5/0 float=y maxiter=400 inside=0 outside=real logmap=44 periodicity=10 colors=000fG0kE0pD0wU0za2zh6zm9zoBzmBzkByhBtfDpcDl\ bDh_DeZDaWEXTETREOOEKNGGKGBIG6GG3EG3KH3QI5WI5aK5fL\ 5kL3iN3hN2hN2fN0eN0eO0cO0cO0bO0aO0aQ0_Q0ZQ0ZQ0XQ0X\ Q0WT0UU2TW5RX8Q_BQaEObGNcILfLKhOKiRIkUHmXGo_EpaErb\ Boc9mc6le5ke3if0hf0fh0eh0ci0bi0ah0cf3ee8hcEibKlaOm\ _UpZ_rXctWivWmwKzt9zrHzsNztUzt_zvfzvlzwszwyzyzzywz\ rrzllzefz__zUUzNOzHIzBGzHEzNDzR9zX8zb6zf5zl2zr0zv0\ zz0zz6zzGzwNzsWzobzkkzfrzbzzrzzrzzrzzrzzryzryzryzr\ yzryzrwzrwzrwzrwzrwzrrztlzwfzzazzWzzQzzKzzGzzkzyzz\ mzzpzzrzzszztyzwtzyrzzozzkzzhzzczzazzZzzUzzRzzOzzN\ zzLzzKzzKzzIzzHzzGzzGzzEzzDzzDzzDzzDzzDzzDzzDzzDzz\ DzzDzzDzzDzzDzzDzzDzzDzzDzzDzzGzzIzzLzsOzlRzcUzXXz\ O_zHbz8cz0_z3Wz6Rz9NzDIzGEzI9zL5zO0zQ8zeGztNzzDzaB\ zU9zO8zI6zB5z53z03z0Gz0Rz6bzDpzIzzOzzUzzNyzHkzBbz3\ Uz0Lz0Hz0Tz0Xz0az0ez2iz3mz6rz8vz9zzDzzEzzGczQHzZ0z\ f5zaGzXQzRazNOz0Tz0Xz0bz0 } 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 20.0 PAR-FORMULA FILE==================================