; Date: Wed, 01 Jun 2005 10:06:40 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 01-06-05 (Hexa-Something [5]) ; Id: <1.5.4.16.20050601100814.391747de@pop.mindspring.com> ; --------- ; ; 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: ; ; ; ; 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========================================= ; ;