FOTD -- September 18, 2006 (Rating 7) Fractal visionaries and enthusiasts: I promised that September would be a month without a quadratic Mandelbrot midget. And my promise remains unbroken. Yes, I realize that a hole of sorts must lie at the center of today's image, but it is totally invisible, lying far beyond the range of conventional math, and even if we could reach it, the midget would look nothing like a miniature Mandelbrot set. The scene is located in a twisting and spiraling, cut-off fila- ment of the Z^(1.15)+C Mandeloid as it appears 115 levels up the logarithmic ladder. Midgets are quite difficult to find in Mandeloids of such a low order, and were it not for the 'fmod' inside fill, I would likely have never found the one that lies invisibly at the center of today's image. I named the image "The Depths of Despair". After all, I know of no law that says fractals must always be cheerful. The image is really not all that gloomy however. True, it holds a lot of blue, but the brilliant white highlights add a kind of sparkling vivacity that chases away the blues and brings a ray of hope. The rating of 7 reflects how I feel about the image. The extra effort I put into the coloring raises the otherwise average scene to an above-average one. The render time of 4-3/4 minutes may be eliminated by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. A damp and foggy morning gave way to a brilliantly sunny after- noon here at New Fractal Central on Sunday. The temperature reached 77F 25C, but the fractal cats were more interested in finding mischief than watching the weather. Cassie managed to overturn a waste basket and spread the contents across the floor. And I'm not so sure Nicholas was as innocent as he pretended. My day was pleasantly quiet. Hopefully, more of the same will follow. The next FOTD is near certain to follow in 24 hours. Until then, take care, and be at one with the object of your choice. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= TheDepthsOfDespair { ; time=0:04:45.83--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.78107692488533510/-2.839509333090241\ 00/4.341345e+011/1/7.49828937455790534/0.001459075\ 1429640683 params=1.15/0/115/0 float=y maxiter=1200 inside=0 periodicity=10 mathtolerance=0.05/1 colors=00083i82e92`91X91SA0OzzJuatnWngRh`LbUGXNARG\ 5LCozBdpBVfAKYAAO_fFYcFXaFVZFUXFSVFRSFPQFONFNLFLJF\ KGFIEFHBFF9FE7FC4FB2Fjh3he4fc5d`5bZ6`X7ZU7XS8VQ9TN\ 9RLAPIANGBLECJBCH9DF7ED4EB2F5Iw6Ht6Gr6Fp6En7Dl7Dj7\ Ch7Bf8Ad89b89`88Z87X96V95T94R94PA3NA2LA1JaNDdRGfUI\ hYLk`NmcPogSqjUtmWvqZxt`zwbtwcowdiwddwe_wfUwfPwgKw\ hEwh9wi4wi5qeA1F6kb6e_7_X7UU8OR9IO9CLA6IOE2ND3MC4L\ B5LB5KA6J97I87I88H79G69F5AF5BE4BD3CC2DC2DB1EA0F3ot\ 4io5dk6_g6Vc7Q_8KV8FR9ANA5JUDBQACN8DK6DG4ED2FBDjAB\ fAMhRQvA7YA6NA5RA3OA2LA1IE9cD8_D7WC6SC5PC4NB3MB2MA\ 1KA0Hzzzvwhildcg_YVWSNSMFNG7JOB4NA5M96L87K78J78I69\ H5AG4BF3CE3CD2DC1EB0FmzUPzQmzMFFIupYqkWmgVicTf_SbW\ QZSPWONSKMOGKLzJH8HD4GolQieOcZMYSLSLJMzIG7GcFuaEr`\ DpzznzzlWBjVzhUAfzzdR8bP7`O7ZzzXL5VK5TzzRH3PF2NE2L\ C1JB0HoKxfGnZCeQ8XI4OvwWooTihRc`PYUNSMLMFJG7HeuobJ\ iYGdUD`QAWM8SI5NE2J74s83n } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================