FOTD -- September 06, 2003 (Rating 9) Fractal visionaries and enthusiasts: A FOTD fractal with a rating of 9 is rare indeed, but today we have found one. It is a scene in the fractal that results when Z^(1.1) is subtracted from (1/Z) and (1/C) is added. This parent fractal consists of two large Mandeloids surrounded by scattered fractal debris. Today's scene is located at the point where a continuous filament breaks up into a series of disconnected bits. The scene is unusual in that nearly all the outside rendering options work well with it. I happened to choose the 'fmod' option with a proximity of 3, though I could just as well have chosen the 'summ' or the 'imag' options, or any of the others. It's just an easy scene from which to get a good fractal. When I was studying the image in search of a name, I thought of ostrich feathers and found the name "Mandelbrot Feathers". I was undecided as to whether the image rates an 8 or a 9. But since I have had a run of sub-par images lately, I decided on a rating of an exceptional 9, which might be stretching it a bit. But regardless, the image is still well above average. The image also benefits from a relatively fast render time of 7 minutes. And as always, the completed GIF image is posted on the internet at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Take a trip to one of the sites. You will not regret the journey. With mostly sunny skies, a high temperature of 77F 25C, and no rain, Friday was a near perfect day here at Fractal Central. The fractal cats took full advantage of the perfection by enjoying the yard from 11am until evening. They were near perfect angels, the only imperfection coming when Tippy returned with a burdock burr stuck in his tail. The burr was easily removed and the day ended peacefully with the duo's noses in their food dishes. Today is starting even more perfect. Since perfection cannot be improved upon, I hope for a repeat of Friday. To see if my ex- pectations are fulfilled, check back in 24 hours. Until then, take care, and unless I am mistaken, burdock burrs gave the inventor the idea for Velcro. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ MandelbrotFeathers { ; time=0:07:07.54--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=-0.16918139027290410/+0.463847222461736\ 50/6.731712e+011/1/90/3.88578058618804789e-016 params=1/-1/-1/1.1/0/525/0/0 float=y maxiter=900 inside=0 proximity=3 outside=fmod periodicity=10 colors=000NYNNTGON9OI3LN6JR9HWBF_EDcGE_IEXJETKEQLE\ MNFJQFFTFCVF8XF5_F2bG3`G4XH4UH5PI6MI6IZHNoRUnUTmWT\ lYTk_TjaTicTheTghTfjTelTdnTcpTbrTatTcqVdoXflYgj_ig\ `jeblbcm`enZgpWhqUjsRktPmvMnwKpxIqMhAPdCT`DVQHURHS\ TGRUGQWGPXGNZGM_FLaFJbFIcFHeFFfEEhEDiEBkEAlE9nD7oD\ 6qD5rD4sD6rE7rE9qEAqECqFDpFEpFGoFHoGJoGKnGLnGNnHOm\ HQmHRlHSlHUlIVkIXkIYjI_jJ`jJaiJciJdiKfhKghKhgKjgLk\ gLmfLnfLofLneMmdMlcMlbMkaMj`Mj_NiZNhYNhXNgWNfVNfUN\ eTOdSOdROcQObPObOOaNO`MP`LP_KPZJPZIPYHPXGPXFQWEQVD\ QVCQUBQTAQTAQUBRVCSWDSWETXETYFUZGUZHV_HV`IWaJWaKXb\ LYcLYdMZdNZeO_fO_gP`gQ`hRaiRajSbjTckUclVdmVdmWenXe\ oYfpYfpZgq_gr`hsaisaitbjucjvdkvdkwelxflygmygmxhnxh\ nxhoxhoxhoxhpxipxiqxiqxiqxirxirxirwjswjswjtwjtwjtw\ juwkuwkvwkvwkvwkwwkwwkwuiuthtsgsrfrqeqpdpoconbnmal\ l`kk_jjZiiYhhXggVffUeeTcdSbcRabQ`aP__OZZNYYMXXLWWK\ UVJTUISSVUPaZNhcLngMh`McU } frm:MandelbrotMix2 {; 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 20.0 PAR-FORMULA FILE==================================