FOTD -- June 01, 2005 (Rating 5) Fractal visionaries and enthusiasts: We start June with an enigma of the fractal variety. The thing at the center of today's image is a puzzle. It shows all signs of being a hexic object, if that's the proper name for equations of the 6th degree. But the parent fractal was created by a combination of Z^3 and Z^5. Its formula contains not a hint of Z^6. I guess that's how fractals are -- always doing the unexpected. Even more unexpected are the much smaller and near-perfect quadratic, cubic and quintic midgets scattered invisibly through the scene. I will check further into this situation later today. When the suspected unexpected is found to exist, can the unsuspected unexpected be far behind. All this talk of mysterious things does not make a great fractal however. Despite its mystery, today's image rates only an average 5. I named the image "Hexa-Something" because, despite the numerical confusion, there is something 6-ish about it. The render time of 2-3/4 minutes is true on the 10-year-old computer with the balky fan, which I have dedicated to fractals. On a more modern unit, the image will render in less than a minute. But regardless of the speed of your computer, if you can get onto the internet, you can download the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a high temperature of 77F 25C and full sun, Tuesday turned out to be one of the all time best days for the fractal cat duo. They went out before noon and stayed out until after 8pm. As far as I know, nothing disturbed their peaceful day in the holly thicket. Today is starting with a few more clouds and a bit cooler. After yesterday, the cats can't complain. For me it's work before play. The next FOTD fractal will appear in 24 hours. Until then, take care, and do we place too little or too much faith in the scientific method? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Hexa-Something { ; time=0:02:45.16--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.73359310668167350/+0.000008397796090\ 92/1462787/1/-72.5/4.36410307197432346e-009 params=1/3/-0.2/5/-0.15/0 float=y maxiter=5000 inside=0 logmap=29 periodicity=10 colors=000URzSUzPXzM_zJbzHezKgzMizOkzQmzTozVqzXszZ\ uzThzNXzHLcC95z5Jn7Mc9PWARSCUNDWJFZFG`dP3cCh`QWYcJ\ Wp7StBOzFKzzGzzDpRHhQKaPNVOQNNTGMW9M`BKdCIiDGmFFrG\ DvHBzIAvKFrMJnONjQRfSVbUZZVbDVxk5fTXTAcFFfMJVTOG_S\ 2fT9_UGUVNNWUHX`AYf4`d6ba8e_BgYDjVFmTIoQKrOMtMOpLR\ mLUjLXgK_dKaaKdZKgWJjTJmQJoNIrKIuHIxEIzGLyINxJQxLS\ wMVwOXvP_vRauTdtUftWisXksZnr_prasqbuqatm`tj_tgZsdY\ saXsZWrWVrTUrPTqMSqJRqGQpDPpAOp7Np4LoFJnQIm`KlkMku\ OhrQioSkmUmjWohYqe_scau`cvZewWgxUiySkzQlzOmzMnzKoz\ IpzGqzErzCszBtzBuzAvzAwz9xz9yz8zz8zz8zz7zz7zz6zz6z\ z5zz5zz5zzCzzJzzQzzXzzczzjzzhzzgzzfzzdzzczzbzz`zz_\ zzZzzXzzWzzVzzTzzSzzRzzQzzPzzPzzOzzOzzOzzjzzgzzczz\ _zzXzzUzzRzzOzzLzzJzzBzz4zzBzzIzzPzzWzzbzzizzpzzmz\ zkzzhzzfzzYzz`zzczzfzzizzlzznzzmzzmzzlzzlzzmzznzzo\ zzpzzqzzqzzrzzrzzszzszztzztzzuzzuzzuzzrzzozzlzzizz\ gzzdzzazzZzzWzzUzzYzzCzzE } 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 PARAMETER FILE=========================================